APEX INSTITUTE was conceptualized in May 2008, keeping in view the dreams of young students by the vision & toil of Er. Shahid Iqbal. We had a very humble beginning as an institute for IIT-JEE / Medical, with a vision to provide an ideal launch pad for serious JEE students . We actually started to make a difference in the way students think and approach problems. We started to develop ways to enhance students IQ. We started to leave an indelible mark on the students who have undergone APEX training. That is why APEX INSTITUTE is very well known of its quality of education and the dedication towards its target.
This document is a 40 question worksheet on complex numbers for Class 11 students prepared by Sthitpragya Science Classes in Gandhidham. The worksheet contains multiple choice questions testing concepts like addition, multiplication, arguments of complex numbers, and properties of regular hexagons defined using complex numbers. Sthitpragya Science Classes is run by Mishal Chauhan (M.Tech, IIT Delhi) and provides advanced mathematics preparation for engineering entrance exams.
This document is a worksheet from Sthitpragya Science Classes in Gandhidham containing 42 multiple choice questions on series and sequences. The worksheet provides the contact information for Mishal Chauhan, the instructor, at the top.
This document is a worksheet containing 37 questions related to application of derivatives. It provides contact information for Sthitpragya Science Classes in Gandhidham, India, which offers advanced mathematics courses for engineering entrance exams. The worksheet is intended for practice on derivatives concepts like finding intervals where a function is decreasing, calculating slopes of tangents, and applying derivatives to optimization problems.
This document provides instructions for a summative assessment exam in social science for class 9 students. It consists of 31 questions ranging from very short answer to long answer questions. Questions 1-8 are very short answer questions worth 1 mark each. Questions 9-20 are 3 mark questions not exceeding 80 words. Questions 21-28 are 5 mark questions not exceeding 100 words. Questions 29-30 are 3 mark map questions requiring students to locate and label items on maps provided. Question 31 is an open text question worth 10 marks. Detailed instructions are provided on the expected answer length and format for each question type.
The document contains a math practice worksheet with 31 multiple choice questions for grade 3 students. It covers topics like number patterns, addition, subtraction, time, shapes, fractions, and data interpretation. The questions progress from easier to more complex as the worksheet continues.
This document is an application of derivatives worksheet from Sthitpragya Science Classes in Gandhidham. It provides 31 questions on derivatives taught by instructor Mishal Chauhan, an IIT Delhi graduate. It also lists the contact information and addresses for the classes.
This document is a 40 question worksheet on complex numbers for Class 11 students prepared by Sthitpragya Science Classes in Gandhidham. The worksheet contains multiple choice questions testing concepts like addition, multiplication, arguments of complex numbers, and properties of regular hexagons defined using complex numbers. Sthitpragya Science Classes is run by Mishal Chauhan (M.Tech, IIT Delhi) and provides advanced mathematics preparation for engineering entrance exams.
This document is a worksheet from Sthitpragya Science Classes in Gandhidham containing 42 multiple choice questions on series and sequences. The worksheet provides the contact information for Mishal Chauhan, the instructor, at the top.
This document is a worksheet containing 37 questions related to application of derivatives. It provides contact information for Sthitpragya Science Classes in Gandhidham, India, which offers advanced mathematics courses for engineering entrance exams. The worksheet is intended for practice on derivatives concepts like finding intervals where a function is decreasing, calculating slopes of tangents, and applying derivatives to optimization problems.
This document provides instructions for a summative assessment exam in social science for class 9 students. It consists of 31 questions ranging from very short answer to long answer questions. Questions 1-8 are very short answer questions worth 1 mark each. Questions 9-20 are 3 mark questions not exceeding 80 words. Questions 21-28 are 5 mark questions not exceeding 100 words. Questions 29-30 are 3 mark map questions requiring students to locate and label items on maps provided. Question 31 is an open text question worth 10 marks. Detailed instructions are provided on the expected answer length and format for each question type.
The document contains a math practice worksheet with 31 multiple choice questions for grade 3 students. It covers topics like number patterns, addition, subtraction, time, shapes, fractions, and data interpretation. The questions progress from easier to more complex as the worksheet continues.
This document is an application of derivatives worksheet from Sthitpragya Science Classes in Gandhidham. It provides 31 questions on derivatives taught by instructor Mishal Chauhan, an IIT Delhi graduate. It also lists the contact information and addresses for the classes.
1. Squares and square roots are discussed, including perfect squares, square roots using various methods like prime factorization and long division, Pythagorean triplets, and properties of squares.
2. Cubes and cube roots are covered, including perfect cubes, cube roots using prime factorization, properties of cubes, and volume of cubes.
3. Exponents and radicals are introduced, including laws of exponents, simplifying expressions with exponents and radicals, and operations with exponents and radicals.
4. Direct and inverse variation are explained through examples involving speed, time, workers, etc. Constant of proportionality and its use are demonstrated.
5. Profit, loss and discount are defined. Calculating profit percentage, loss
Right foundation at the right stage is the most important factor in the success of any student in exam and in life the APEX IIT / PMT foundation program is aimed at students studying in class XI, who aspire to prepare for engineering / medical entrance in future. The program keeps the school curriculum as base and further upgrades the students’ knowledge to meet the requirements of competitive exams. The program has been design in a way so as to develop orientation of the students as well as to motivate him to excel in competitive exams.
Two Year Classroom Program is the ideal program for students who wish to start early in their quest for a seat at the IITs. This program helps the student not only to excel in IIT-JEE but also in Olympiads & KVPY by building a strong foundation, enhance their IQ & analytical ability and develop parallel thinking processes from a very early stage in their academic career. Students joining this program will have more time to clear their fundamentals and practice extensively for IIT-JEE, their ultimate goal!
The document contains 25 multiple choice questions related to mathematics, logic, and reasoning. Question 25 asks about a game involving 99 coins arranged in a circle, with two special coins initially separated by two ordinary coins O1 and O2. The correct answer is that in order to win, Alok should remove O2 on his first turn, bringing the special coins closer together.
The document contains 25 multiple choice questions related to mathematics, logic, and reasoning. The questions cover a wide range of topics including probability, geometry, word problems, and data interpretation. They range in difficulty from straightforward calculations to more complex multi-step problems.
This 6-page document contains the questions and instructions for a mathematics summative assessment for Class X students. It is divided into 4 sections with a total of 34 questions. Section A contains 8 multiple choice questions worth 1 mark each. Section B has 6 short answer questions worth 2 marks each. Section C contains 10 questions worth 3 marks each. Section D has 10 questions worth 4 marks each, some with internal choices. Calculators are not permitted and there is no overall choice between questions.
F 1-mathematics-paper-form-1-mid-term-2-exam-2017Pwani University
This document contains instructions for a mathematics exam for Form One students. It has two sections, with Section I containing 16 compulsory short-answer questions and Section II containing 5 questions out of which students must answer any 5. The instructions specify how to show working, which calculators and tables can be used, and other exam guidelines. It provides spaces below each question for students to write their answers and working.
للصف السادس الابتدائى الترم الأول لغات Mathsأمنية وجدى
This document contains a mid-term exam with multiple choice and short answer questions testing mathematical concepts like ratios, proportions, scales, percentages, and word problems. The exam has 5 questions covering topics such as rate calculations, sharing amounts proportionally, and solving for unknown values. The answers provided give the step-by-step work and solutions to the questions posed in the exam.
This document appears to be a mathematics post-test from September 2008 consisting of 57 multiple choice questions covering various math topics such as arithmetic, algebra, geometry, ratios, and word problems. The test was administered by the St. Louis Review Center in Manila, Philippines and includes questions testing concepts like operations with fractions and decimals, properties of numbers, measurement conversions, and geometric shapes.
1. The document contains 44 math word problems for students in Class 6. The problems cover a range of topics including percentages, ratios, time, speed, distance, mixtures, averages, and more.
2. For each problem, students are asked to choose the correct answer from four multiple choice options (a, b, c, or d).
3. The level of difficulty of the problems varies, with some being more straightforward calculations and others requiring multiple steps to solve.
Dear Students/Parents
APEX INSTITUTE has been established with sincere and positive resolve to do something rewarding for ENGG. / PRE-MEDICAL aspirants. For this the APEX INSTITUTE has been instituted to provide a relentlessly motivating and competitive atmosphere.
We at 'Apex Institute' are committed to provide our students best quality education with ethics. Moving in this direction, we have decided that unlike other expensive and 5star facility type institutes who are huge investors and advertisers, we shall not invest huge amount of money in advertisements. It shall rather be invested on the betterment, enhancement of quality and resources at our center.
We are just looking forward to have 'word-of-mouth' publicity instead. Because, there is only a satisfied student and his/her parents can judge an institute's quality and it's faculty members coaching.
Those coaching institutes, who are investing highly on advertisements, are actually, wasting their money on it, in a sense. Rather, the money should be invested on highly experienced faculty members and on teaching gears.
We all at 'Apex' are taking this initiative to improve the quality of education along-with each student's development and growth.
Committed to excellence...
With best wishes.
S . Iqbal
( Motivator & Mentor)
APEX INSTITUTE has been established with sincere and positive resolve to do something rewarding for ENGG. / PRE-MEDICAL aspirants. For this the APEX INSTITUTE has been instituted to provide a relentlessly motivating and competitive atmosphere.
Raj and Ajay traveled by car to Ranikhet. Raj's car traveled at speed x km/hr while Ajay's was 5 km/hr faster. Raj took 4 hours more than Ajay to complete the 400 km journey.
A motor boat traveled upstream at a speed of 20 km/hr. To cover 15 km it took 1 hour more than traveling downstream.
A seminar had participants in Hindi (60), English (84) and Math (108). The maximum in each room was 12. The minimum rooms needed was 21.
Real numbers, polynomials, linear equations and quadratic equations word problems were presented as case studies with multiple choice questions to test understanding of concepts. Concise
This document contains a set of 47 sample questions that cover various mathematical concepts such as number theory, probability, algebra, and geometry. The questions are intended to help a test taker prepare for an assessment by learning relevant concepts rather than focusing on specific questions. Each question is multiple choice with 4 possible answer options.
The document provides details about a sample test for a Fashion Management program. [1] It outlines 150 multiple choice questions testing various abilities like quantitative ability, English comprehension, analytical ability, and general awareness. [2] The questions are across various subject areas and students must mark their answers on a separate answer sheet using a ballpoint pen to darken the appropriate circle for the best answer choice. [3] The test is aimed at assessing students' suitability for the Fashion Management program.
Governor Sindh IT course 2nd Entrance Test conducted on 20 july 2023.docxDarya Khan
1) The document contains a 25 question test covering topics in mathematics, English language, and general knowledge.
2) It provides the questions, multiple choice answers, and an explanation for each question to indicate the correct answer.
3) The questions test a variety of skills including calculating percentages, solving word problems, identifying parts of speech, recognizing patterns in numeric sequences, and understanding scientific concepts.
The document discusses sample questions from TCS recruitment tests. It provides details about the new test pattern introduced in 2010, including that it is computer-based, has 35 questions to be answered in 60 minutes, and excludes English questions. The questions are divided into four categories: quantitative ability, logical reasoning, analytical reasoning, and reading comprehension. Several sample quantitative questions are then presented covering topics like trigonometry, probability, linear equations, and more. Step-by-step solutions are provided for each sample question.
This document contains a math practice exam for 4th period with questions in the following categories:
1) Simplifying expressions
2) Solving equations
3) Problem solving including percent problems and areas of shapes
4) Exponents and probability problems
The exam is to prepare for an upcoming math exam for the school year 2009-2010.
This document contains a math practice exam for 4th period with 4 sections - simplifying expressions, solving equations, word problems, and geometry problems. It includes 32 total questions testing skills like simplifying expressions, solving equations, finding percentages, probability, exponents, and geometry concepts like finding the area of shapes.
Calculus IDirections (10 pts. each) Answer each of the followin.docxclairbycraft
Calculus I
Directions: (10 pts. each) Answer each of the following questions below. In order to receive ANY credit for a question, you must SHOW YOUR WORK using proper notation and clear and concise logic. You're graded on both the accuracy of your answers AND your explanations that sufficiently support your answers. Unless otherwise stated, you're to give the EXAXCT VALUES of answers instead of decimal approximations. In order to receive ANY credit for any applied/word problem (i.e. Problems #29 - ), you MUST declare a variable (unless the variable(s) have already been declared in the problem) and set up and solve an appropriate mathematical expression that can be used to answer the question. Proper units must also be included in answers to applied problems. NO CREDIT WILL BE GIVEN FOR EITHER GUESSING OR CHECKING POSSIBLE ANSWERS WITHOUT SOLVING THE PROBLEM. YOU CANNOT USE CALCULUS TO SOLVE THESE PROBLEMS.
Finally, write ONLY FINAL ANSWERS ON THESE PAGES; you must show your work both according to homework guidelines and on YOUR OWN PAPER.
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
Multiply or divide as indicated. Write your answer in factored form.
1) x22 - 9x + 14 · xx22 -- 1618x x ++ 4877 1)
2)
x
-
12
x
+
32
Simplify the complex rational expression.
4
x
2
-
4
x
-
32
-
1
x
-
8
2)
1 + 1 x + 4
Find the difference quotient for the function and simplify it.
3) g(x) = 6x2 + 14x - 1 3)
Find the domain and range of the function. Write your answers using interval notation.
4)
g(z)
=
16
-
z
2
4)
Find a formula for the function graphed.
5) 5)
Determine if the function is even, odd, or neither. You must use algebra to justify your answer; otherwise, no full credit will be given. NO CREDIT is given for an answer without a mathematical explanation.
6) f(x) = x -+7 9 6)
State the domain of the composition.
7)
(
g
H
h)(x) with g(x)
=
x
+
5
and h(x)
=
8
x
+
7
7)
Compute
f(x
+
h)
-
f(x)
h
(h
J
0) for the given function
.
8) f(x) = 4x - 8 8)
9)
f(x)
=
5
x
2
+
6
x
9)
10)
f(x)
=
1
9
x
10)
Solve the equation by multiplying both sides by the LCD.
11) 32x - x 3+ 1 = 1 11)
12)
Solve the equation.
x
+
6
+
2
-
x
=
4
12)
13)
(
4
x
-
2
)
/
3
2
+
6
=
15
13)
14)
3
x
+
4
=
x
-
1
14)
Find the real solutions of the equation by factoring.
15) x3 + 8x2 - x - 8 = 0 15)
Solve the equation by making an appropriate substitution.
16) (x2 - 2x)2 - 11(x2 - 2x) + 24 = 0 16)
Solve the logarithmic equation.
17) log2(x + 7) + log2(x - 7) = 2 17)
Solve the exponential equation. Express the solution set in terms of natural logarithms.
18) 4x + 4 = 52x + 5 18)
Solve the inequality and express the solution in interval notation.
19) 7Ax - 1A L 2 19)
Solve the inequality. Write your answer using interval notation.
20) x 18- 5 > x 15+ 1 20)
Write the equation as f(x) = a(x - h)2 + k. Identify the vertex, range, and axis of symmetry of the function.
21) f(x) = x2 + 5x + 2 21)
23) log
F.
We at 'Apex Institute' are committed to provide our students best quality education with ethics. Moving in this direction, we have decided that unlike other expensive and 5star facility type institutes who are huge investors and advertisers, we shall not invest huge amount of money in advertisements. It shall rather be invested on the betterment, enhancement of quality and resources at our center.
We are just looking forward to have 'word-of-mouth' publicity instead. Because, there is only a satisfied student and his/her parents can judge an institute's quality and it's faculty members coaching.
Those coaching institutes, who are investing highly on advertisements, are actually, wasting their money on it, in a sense. Rather, the money should be invested on highly experienced faculty members and on teaching gears.
We all at 'Apex' are taking this initiative to improve the quality of education along-with each student's development and growth.
Committed to excellence...
With best wishes.
S . Iqbal
( Motivator & Mentor)
Dear Students/Parents
We at 'Apex Institute' are committed to provide our students best quality education with ethics. Moving in this direction, we have decided that unlike other expensive and 5star facility type institutes who are huge investors and advertisers, we shall not invest huge amount of money in advertisements. It shall rather be invested on the betterment, enhancement of quality and resources at our center.
We are just looking forward to have 'word-of-mouth' publicity instead. Because, there is only a satisfied student and his/her parents can judge an institute's quality and it's faculty members coaching.
Those coaching institutes, who are investing highly on advertisements, are actually, wasting their money on it, in a sense. Rather, the money should be invested on highly experienced faculty members and on teaching gears.
We all at 'Apex' are taking this initiative to improve the quality of education along-with each student's development and growth.
Committed to excellence...
With best wishes.
S . Iqbal
( Motivator & Mentor)
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Similar to 197699986 class-viii-mathematics-question-bank-for-summative-assesment-docx
1. Squares and square roots are discussed, including perfect squares, square roots using various methods like prime factorization and long division, Pythagorean triplets, and properties of squares.
2. Cubes and cube roots are covered, including perfect cubes, cube roots using prime factorization, properties of cubes, and volume of cubes.
3. Exponents and radicals are introduced, including laws of exponents, simplifying expressions with exponents and radicals, and operations with exponents and radicals.
4. Direct and inverse variation are explained through examples involving speed, time, workers, etc. Constant of proportionality and its use are demonstrated.
5. Profit, loss and discount are defined. Calculating profit percentage, loss
Right foundation at the right stage is the most important factor in the success of any student in exam and in life the APEX IIT / PMT foundation program is aimed at students studying in class XI, who aspire to prepare for engineering / medical entrance in future. The program keeps the school curriculum as base and further upgrades the students’ knowledge to meet the requirements of competitive exams. The program has been design in a way so as to develop orientation of the students as well as to motivate him to excel in competitive exams.
Two Year Classroom Program is the ideal program for students who wish to start early in their quest for a seat at the IITs. This program helps the student not only to excel in IIT-JEE but also in Olympiads & KVPY by building a strong foundation, enhance their IQ & analytical ability and develop parallel thinking processes from a very early stage in their academic career. Students joining this program will have more time to clear their fundamentals and practice extensively for IIT-JEE, their ultimate goal!
The document contains 25 multiple choice questions related to mathematics, logic, and reasoning. Question 25 asks about a game involving 99 coins arranged in a circle, with two special coins initially separated by two ordinary coins O1 and O2. The correct answer is that in order to win, Alok should remove O2 on his first turn, bringing the special coins closer together.
The document contains 25 multiple choice questions related to mathematics, logic, and reasoning. The questions cover a wide range of topics including probability, geometry, word problems, and data interpretation. They range in difficulty from straightforward calculations to more complex multi-step problems.
This 6-page document contains the questions and instructions for a mathematics summative assessment for Class X students. It is divided into 4 sections with a total of 34 questions. Section A contains 8 multiple choice questions worth 1 mark each. Section B has 6 short answer questions worth 2 marks each. Section C contains 10 questions worth 3 marks each. Section D has 10 questions worth 4 marks each, some with internal choices. Calculators are not permitted and there is no overall choice between questions.
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This document contains instructions for a mathematics exam for Form One students. It has two sections, with Section I containing 16 compulsory short-answer questions and Section II containing 5 questions out of which students must answer any 5. The instructions specify how to show working, which calculators and tables can be used, and other exam guidelines. It provides spaces below each question for students to write their answers and working.
للصف السادس الابتدائى الترم الأول لغات Mathsأمنية وجدى
This document contains a mid-term exam with multiple choice and short answer questions testing mathematical concepts like ratios, proportions, scales, percentages, and word problems. The exam has 5 questions covering topics such as rate calculations, sharing amounts proportionally, and solving for unknown values. The answers provided give the step-by-step work and solutions to the questions posed in the exam.
This document appears to be a mathematics post-test from September 2008 consisting of 57 multiple choice questions covering various math topics such as arithmetic, algebra, geometry, ratios, and word problems. The test was administered by the St. Louis Review Center in Manila, Philippines and includes questions testing concepts like operations with fractions and decimals, properties of numbers, measurement conversions, and geometric shapes.
1. The document contains 44 math word problems for students in Class 6. The problems cover a range of topics including percentages, ratios, time, speed, distance, mixtures, averages, and more.
2. For each problem, students are asked to choose the correct answer from four multiple choice options (a, b, c, or d).
3. The level of difficulty of the problems varies, with some being more straightforward calculations and others requiring multiple steps to solve.
Dear Students/Parents
APEX INSTITUTE has been established with sincere and positive resolve to do something rewarding for ENGG. / PRE-MEDICAL aspirants. For this the APEX INSTITUTE has been instituted to provide a relentlessly motivating and competitive atmosphere.
We at 'Apex Institute' are committed to provide our students best quality education with ethics. Moving in this direction, we have decided that unlike other expensive and 5star facility type institutes who are huge investors and advertisers, we shall not invest huge amount of money in advertisements. It shall rather be invested on the betterment, enhancement of quality and resources at our center.
We are just looking forward to have 'word-of-mouth' publicity instead. Because, there is only a satisfied student and his/her parents can judge an institute's quality and it's faculty members coaching.
Those coaching institutes, who are investing highly on advertisements, are actually, wasting their money on it, in a sense. Rather, the money should be invested on highly experienced faculty members and on teaching gears.
We all at 'Apex' are taking this initiative to improve the quality of education along-with each student's development and growth.
Committed to excellence...
With best wishes.
S . Iqbal
( Motivator & Mentor)
APEX INSTITUTE has been established with sincere and positive resolve to do something rewarding for ENGG. / PRE-MEDICAL aspirants. For this the APEX INSTITUTE has been instituted to provide a relentlessly motivating and competitive atmosphere.
Raj and Ajay traveled by car to Ranikhet. Raj's car traveled at speed x km/hr while Ajay's was 5 km/hr faster. Raj took 4 hours more than Ajay to complete the 400 km journey.
A motor boat traveled upstream at a speed of 20 km/hr. To cover 15 km it took 1 hour more than traveling downstream.
A seminar had participants in Hindi (60), English (84) and Math (108). The maximum in each room was 12. The minimum rooms needed was 21.
Real numbers, polynomials, linear equations and quadratic equations word problems were presented as case studies with multiple choice questions to test understanding of concepts. Concise
This document contains a set of 47 sample questions that cover various mathematical concepts such as number theory, probability, algebra, and geometry. The questions are intended to help a test taker prepare for an assessment by learning relevant concepts rather than focusing on specific questions. Each question is multiple choice with 4 possible answer options.
The document provides details about a sample test for a Fashion Management program. [1] It outlines 150 multiple choice questions testing various abilities like quantitative ability, English comprehension, analytical ability, and general awareness. [2] The questions are across various subject areas and students must mark their answers on a separate answer sheet using a ballpoint pen to darken the appropriate circle for the best answer choice. [3] The test is aimed at assessing students' suitability for the Fashion Management program.
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1) The document contains a 25 question test covering topics in mathematics, English language, and general knowledge.
2) It provides the questions, multiple choice answers, and an explanation for each question to indicate the correct answer.
3) The questions test a variety of skills including calculating percentages, solving word problems, identifying parts of speech, recognizing patterns in numeric sequences, and understanding scientific concepts.
The document discusses sample questions from TCS recruitment tests. It provides details about the new test pattern introduced in 2010, including that it is computer-based, has 35 questions to be answered in 60 minutes, and excludes English questions. The questions are divided into four categories: quantitative ability, logical reasoning, analytical reasoning, and reading comprehension. Several sample quantitative questions are then presented covering topics like trigonometry, probability, linear equations, and more. Step-by-step solutions are provided for each sample question.
This document contains a math practice exam for 4th period with questions in the following categories:
1) Simplifying expressions
2) Solving equations
3) Problem solving including percent problems and areas of shapes
4) Exponents and probability problems
The exam is to prepare for an upcoming math exam for the school year 2009-2010.
This document contains a math practice exam for 4th period with 4 sections - simplifying expressions, solving equations, word problems, and geometry problems. It includes 32 total questions testing skills like simplifying expressions, solving equations, finding percentages, probability, exponents, and geometry concepts like finding the area of shapes.
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Calculus I
Directions: (10 pts. each) Answer each of the following questions below. In order to receive ANY credit for a question, you must SHOW YOUR WORK using proper notation and clear and concise logic. You're graded on both the accuracy of your answers AND your explanations that sufficiently support your answers. Unless otherwise stated, you're to give the EXAXCT VALUES of answers instead of decimal approximations. In order to receive ANY credit for any applied/word problem (i.e. Problems #29 - ), you MUST declare a variable (unless the variable(s) have already been declared in the problem) and set up and solve an appropriate mathematical expression that can be used to answer the question. Proper units must also be included in answers to applied problems. NO CREDIT WILL BE GIVEN FOR EITHER GUESSING OR CHECKING POSSIBLE ANSWERS WITHOUT SOLVING THE PROBLEM. YOU CANNOT USE CALCULUS TO SOLVE THESE PROBLEMS.
Finally, write ONLY FINAL ANSWERS ON THESE PAGES; you must show your work both according to homework guidelines and on YOUR OWN PAPER.
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
Multiply or divide as indicated. Write your answer in factored form.
1) x22 - 9x + 14 · xx22 -- 1618x x ++ 4877 1)
2)
x
-
12
x
+
32
Simplify the complex rational expression.
4
x
2
-
4
x
-
32
-
1
x
-
8
2)
1 + 1 x + 4
Find the difference quotient for the function and simplify it.
3) g(x) = 6x2 + 14x - 1 3)
Find the domain and range of the function. Write your answers using interval notation.
4)
g(z)
=
16
-
z
2
4)
Find a formula for the function graphed.
5) 5)
Determine if the function is even, odd, or neither. You must use algebra to justify your answer; otherwise, no full credit will be given. NO CREDIT is given for an answer without a mathematical explanation.
6) f(x) = x -+7 9 6)
State the domain of the composition.
7)
(
g
H
h)(x) with g(x)
=
x
+
5
and h(x)
=
8
x
+
7
7)
Compute
f(x
+
h)
-
f(x)
h
(h
J
0) for the given function
.
8) f(x) = 4x - 8 8)
9)
f(x)
=
5
x
2
+
6
x
9)
10)
f(x)
=
1
9
x
10)
Solve the equation by multiplying both sides by the LCD.
11) 32x - x 3+ 1 = 1 11)
12)
Solve the equation.
x
+
6
+
2
-
x
=
4
12)
13)
(
4
x
-
2
)
/
3
2
+
6
=
15
13)
14)
3
x
+
4
=
x
-
1
14)
Find the real solutions of the equation by factoring.
15) x3 + 8x2 - x - 8 = 0 15)
Solve the equation by making an appropriate substitution.
16) (x2 - 2x)2 - 11(x2 - 2x) + 24 = 0 16)
Solve the logarithmic equation.
17) log2(x + 7) + log2(x - 7) = 2 17)
Solve the exponential equation. Express the solution set in terms of natural logarithms.
18) 4x + 4 = 52x + 5 18)
Solve the inequality and express the solution in interval notation.
19) 7Ax - 1A L 2 19)
Solve the inequality. Write your answer using interval notation.
20) x 18- 5 > x 15+ 1 20)
Write the equation as f(x) = a(x - h)2 + k. Identify the vertex, range, and axis of symmetry of the function.
21) f(x) = x2 + 5x + 2 21)
23) log
F.
Similar to 197699986 class-viii-mathematics-question-bank-for-summative-assesment-docx (20)
We at 'Apex Institute' are committed to provide our students best quality education with ethics. Moving in this direction, we have decided that unlike other expensive and 5star facility type institutes who are huge investors and advertisers, we shall not invest huge amount of money in advertisements. It shall rather be invested on the betterment, enhancement of quality and resources at our center.
We are just looking forward to have 'word-of-mouth' publicity instead. Because, there is only a satisfied student and his/her parents can judge an institute's quality and it's faculty members coaching.
Those coaching institutes, who are investing highly on advertisements, are actually, wasting their money on it, in a sense. Rather, the money should be invested on highly experienced faculty members and on teaching gears.
We all at 'Apex' are taking this initiative to improve the quality of education along-with each student's development and growth.
Committed to excellence...
With best wishes.
S . Iqbal
( Motivator & Mentor)
Dear Students/Parents
We at 'Apex Institute' are committed to provide our students best quality education with ethics. Moving in this direction, we have decided that unlike other expensive and 5star facility type institutes who are huge investors and advertisers, we shall not invest huge amount of money in advertisements. It shall rather be invested on the betterment, enhancement of quality and resources at our center.
We are just looking forward to have 'word-of-mouth' publicity instead. Because, there is only a satisfied student and his/her parents can judge an institute's quality and it's faculty members coaching.
Those coaching institutes, who are investing highly on advertisements, are actually, wasting their money on it, in a sense. Rather, the money should be invested on highly experienced faculty members and on teaching gears.
We all at 'Apex' are taking this initiative to improve the quality of education along-with each student's development and growth.
Committed to excellence...
With best wishes.
S . Iqbal
( Motivator & Mentor)
Dear Students/Parents
We at 'Apex Institute' are committed to provide our students best quality education with ethics. Moving in this direction, we have decided that unlike other expensive and 5star facility type institutes who are huge investors and advertisers, we shall not invest huge amount of money in advertisements. It shall rather be invested on the betterment, enhancement of quality and resources at our center.
We are just looking forward to have 'word-of-mouth' publicity instead. Because, there is only a satisfied student and his/her parents can judge an institute's quality and it's faculty members coaching.
Those coaching institutes, who are investing highly on advertisements, are actually, wasting their money on it, in a sense. Rather, the money should be invested on highly experienced faculty members and on teaching gears.
We all at 'Apex' are taking this initiative to improve the quality of education along-with each student's development and growth.
Committed to excellence...
With best wishes.
S . Iqbal
( Motivator & Mentor)
Dear Students/Parents
We at 'Apex Institute' are committed to provide our students best quality education with ethics. Moving in this direction, we have decided that unlike other expensive and 5star facility type institutes who are huge investors and advertisers, we shall not invest huge amount of money in advertisements. It shall rather be invested on the betterment, enhancement of quality and resources at our center.
We are just looking forward to have 'word-of-mouth' publicity instead. Because, there is only a satisfied student and his/her parents can judge an institute's quality and it's faculty members coaching.
Those coaching institutes, who are investing highly on advertisements, are actually, wasting their money on it, in a sense. Rather, the money should be invested on highly experienced faculty members and on teaching gears.
We all at 'Apex' are taking this initiative to improve the quality of education along-with each student's development and growth.
Committed to excellence...
With best wishes.
S . Iqbal
( Motivator & Mentor)
Dear Students/Parents
We at 'Apex Institute' are committed to provide our students best quality education with ethics. Moving in this direction, we have decided that unlike other expensive and 5star facility type institutes who are huge investors and advertisers, we shall not invest huge amount of money in advertisements. It shall rather be invested on the betterment, enhancement of quality and resources at our center.
We are just looking forward to have 'word-of-mouth' publicity instead. Because, there is only a satisfied student and his/her parents can judge an institute's quality and it's faculty members coaching.
Those coaching institutes, who are investing highly on advertisements, are actually, wasting their money on it, in a sense. Rather, the money should be invested on highly experienced faculty members and on teaching gears.
We all at 'Apex' are taking this initiative to improve the quality of education along-with each student's development and growth.
Committed to excellence...
With best wishes.
S . Iqbal
( Motivator & Mentor)
Dear Students/Parents
We at 'Apex Institute' are committed to provide our students best quality education with ethics. Moving in this direction, we have decided that unlike other expensive and 5star facility type institutes who are huge investors and advertisers, we shall not invest huge amount of money in advertisements. It shall rather be invested on the betterment, enhancement of quality and resources at our center.
We are just looking forward to have 'word-of-mouth' publicity instead. Because, there is only a satisfied student and his/her parents can judge an institute's quality and it's faculty members coaching.
Those coaching institutes, who are investing highly on advertisements, are actually, wasting their money on it, in a sense. Rather, the money should be invested on highly experienced faculty members and on teaching gears.
We all at 'Apex' are taking this initiative to improve the quality of education along-with each student's development and growth.
Committed to excellence...
With best wishes.
S . Iqbal
( Motivator & Mentor)
Crash-Course for AIPMT & Other Medical Exams 2016(Essentials heart)APEX INSTITUTE
Dear Students/Parents
We at 'Apex Institute' are committed to provide our students best quality education with ethics. Moving in this direction, we have decided that unlike other expensive and 5star facility type institutes who are huge investors and advertisers, we shall not invest huge amount of money in advertisements. It shall rather be invested on the betterment, enhancement of quality and resources at our center.
We are just looking forward to have 'word-of-mouth' publicity instead. Because, there is only a satisfied student and his/her parents can judge an institute's quality and it's faculty members coaching.
Those coaching institutes, who are investing highly on advertisements, are actually, wasting their money on it, in a sense. Rather, the money should be invested on highly experienced faculty members and on teaching gears.
We all at 'Apex' are taking this initiative to improve the quality of education along-with each student's development and growth.
Committed to excellence...
With best wishes.
S . Iqbal
( Motivator & Mentor)
Crash-Course for AIPMT & Other Medical Exams 2016Target pmt (2)APEX INSTITUTE
Dear Students/Parents
We at 'Apex Institute' are committed to provide our students best quality education with ethics. Moving in this direction, we have decided that unlike other expensive and 5star facility type institutes who are huge investors and advertisers, we shall not invest huge amount of money in advertisements. It shall rather be invested on the betterment, enhancement of quality and resources at our center.
We are just looking forward to have 'word-of-mouth' publicity instead. Because, there is only a satisfied student and his/her parents can judge an institute's quality and it's faculty members coaching.
Those coaching institutes, who are investing highly on advertisements, are actually, wasting their money on it, in a sense. Rather, the money should be invested on highly experienced faculty members and on teaching gears.
We all at 'Apex' are taking this initiative to improve the quality of education along-with each student's development and growth.
Committed to excellence...
With best wishes.
S . Iqbal
( Motivator & Mentor)
Crash-Course for AIPMT & Other Medical Exams 2016 (Essentials cockroach)APEX INSTITUTE
Dear Students/Parents
We at 'Apex Institute' are committed to provide our students best quality education with ethics. Moving in this direction, we have decided that unlike other expensive and 5star facility type institutes who are huge investors and advertisers, we shall not invest huge amount of money in advertisements. It shall rather be invested on the betterment, enhancement of quality and resources at our center.
We are just looking forward to have 'word-of-mouth' publicity instead. Because, there is only a satisfied student and his/her parents can judge an institute's quality and it's faculty members coaching.
Those coaching institutes, who are investing highly on advertisements, are actually, wasting their money on it, in a sense. Rather, the money should be invested on highly experienced faculty members and on teaching gears.
We all at 'Apex' are taking this initiative to improve the quality of education along-with each student's development and growth.
Committed to excellence...
With best wishes.
S . Iqbal
( Motivator & Mentor)
Dear Students/Parents
We at 'Apex Institute' are committed to provide our students best quality education with ethics. Moving in this direction, we have decided that unlike other expensive and 5star facility type institutes who are huge investors and advertisers, we shall not invest huge amount of money in advertisements. It shall rather be invested on the betterment, enhancement of quality and resources at our center.
We are just looking forward to have 'word-of-mouth' publicity instead. Because, there is only a satisfied student and his/her parents can judge an institute's quality and it's faculty members coaching.
Those coaching institutes, who are investing highly on advertisements, are actually, wasting their money on it, in a sense. Rather, the money should be invested on highly experienced faculty members and on teaching gears.
We all at 'Apex' are taking this initiative to improve the quality of education along-with each student's development and growth.
Committed to excellence...
With best wishes.
S . Iqbal
( Motivator & Mentor)
The document provides information about an educational institute called APEX that offers coaching for various competitive exams like IIT-JEE, AIPMT, and NTSE. It highlights some of APEX's strengths such as having experienced and qualified faculty, small student-teacher ratios, regular testing and feedback, and good historical results. It also mentions some questions students should ask before choosing a coaching institute like student-teacher ratios, faculty qualifications, and selection processes.
Dear Students/Parents
We at 'Apex Institute' are committed to provide our students best quality education with ethics. Moving in this direction, we have decided that unlike other expensive and 5star facility type institutes who are huge investors and advertisers, we shall not invest huge amount of money in advertisements. It shall rather be invested on the betterment, enhancement of quality and resources at our center.
We are just looking forward to have 'word-of-mouth' publicity instead. Because, there is only a satisfied student and his/her parents can judge an institute's quality and it's faculty members coaching.
Those coaching institutes, who are investing highly on advertisements, are actually, wasting their money on it, in a sense. Rather, the money should be invested on highly experienced faculty members and on teaching gears.
We all at 'Apex' are taking this initiative to improve the quality of education along-with each student's development and growth.
Committed to excellence...
With best wishes.
S . Iqbal
( Motivator & Mentor)
I.S.C. Class XII MATHEMATICS Sample Papers 2016APEX INSTITUTE
This document provides information about a crash course for IIT-JEE, BITS, UPTU and AIPMT exams, including details about faculty, study material, practice problems, mock tests, and registration. It mentions that the course includes over 240 hours of training by experienced faculty, concise chapter-wise theory, 3000 practice problems, 10 full-length tests, and a 30% discount on registration until March 10th. The batch is scheduled to commence on March 15th, 22nd, and 29th.
The document provides information about a crash course for IIT-JEE, BITS, UPTU and AIPMT exams, including details about the course structure, faculty, study material, practice problems, and test series. It mentions that the course provides over 240 hours of training by experienced faculty, concise chapter-wise theory, 3000 practice problems, expert time management tips, and 10 full-length tests on the IIT-Main exam pattern. It also provides information about course features, registration fees and dates.
Dear Students/Parents
We at 'Apex Institute' are committed to provide our students best quality education with ethics. Moving in this direction, we have decided that unlike other expensive and 5star facility type institutes who are huge investors and advertisers, we shall not invest huge amount of money in advertisements. It shall rather be invested on the betterment, enhancement of quality and resources at our center.
We are just looking forward to have 'word-of-mouth' publicity instead. Because, there is only a satisfied student and his/her parents can judge an institute's quality and it's faculty members coaching.
Those coaching institutes, who are investing highly on advertisements, are actually, wasting their money on it, in a sense. Rather, the money should be invested on highly experienced faculty members and on teaching gears.
We all at 'Apex' are taking this initiative to improve the quality of education along-with each student's development and growth.
Committed to excellence...
With best wishes.
S . Iqbal
( Motivator & Mentor)
Dear Students/Parents
We at 'Apex Institute' are committed to provide our students best quality education with ethics. Moving in this direction, we have decided that unlike other expensive and 5star facility type institutes who are huge investors and advertisers, we shall not invest huge amount of money in advertisements. It shall rather be invested on the betterment, enhancement of quality and resources at our center.
We are just looking forward to have 'word-of-mouth' publicity instead. Because, there is only a satisfied student and his/her parents can judge an institute's quality and it's faculty members coaching.
Those coaching institutes, who are investing highly on advertisements, are actually, wasting their money on it, in a sense. Rather, the money should be invested on highly experienced faculty members and on teaching gears.
We all at 'Apex' are taking this initiative to improve the quality of education along-with each student's development and growth.
Committed to excellence...
With best wishes.
S . Iqbal
( Motivator & Mentor)
Dear Students/Parents
APEX INSTITUTE has been established with sincere and positive resolve to do something rewarding for ENGG. / PRE-MEDICAL aspirants. For this the APEX INSTITUTE has been instituted to provide a relentlessly motivating and competitive atmosphere.
We at 'Apex Institute' are committed to provide our students best quality education with ethics. Moving in this direction, we have decided that unlike other expensive and 5star facility type institutes who are huge investors and advertisers, we shall not invest huge amount of money in advertisements. It shall rather be invested on the betterment, enhancement of quality and resources at our center.
We are just looking forward to have 'word-of-mouth' publicity instead. Because, there is only a satisfied student and his/her parents can judge an institute's quality and it's faculty members coaching.
Those coaching institutes, who are investing highly on advertisements, are actually, wasting their money on it, in a sense. Rather, the money should be invested on highly experienced faculty members and on teaching gears.
We all at 'Apex' are taking this initiative to improve the quality of education along-with each student's development and growth.
Committed to excellence...
With best wishes.
S . Iqbal
( Motivator & Mentor)
Dear Students/Parents
APEX INSTITUTE has been established with sincere and positive resolve to do something rewarding for ENGG. / PRE-MEDICAL aspirants. For this the APEX INSTITUTE has been instituted to provide a relentlessly motivating and competitive atmosphere.
We at 'Apex Institute' are committed to provide our students best quality education with ethics. Moving in this direction, we have decided that unlike other expensive and 5star facility type institutes who are huge investors and advertisers, we shall not invest huge amount of money in advertisements. It shall rather be invested on the betterment, enhancement of quality and resources at our center.
We are just looking forward to have 'word-of-mouth' publicity instead. Because, there is only a satisfied student and his/her parents can judge an institute's quality and it's faculty members coaching.
Those coaching institutes, who are investing highly on advertisements, are actually, wasting their money on it, in a sense. Rather, the money should be invested on highly experienced faculty members and on teaching gears.
We all at 'Apex' are taking this initiative to improve the quality of education along-with each student's development and growth.
Committed to excellence...
With best wishes.
S . Iqbal
( Motivator & Mentor)
Dear Students/Parents
APEX INSTITUTE has been established with sincere and positive resolve to do something rewarding for ENGG. / PRE-MEDICAL aspirants. For this the APEX INSTITUTE has been instituted to provide a relentlessly motivating and competitive atmosphere.
We at 'Apex Institute' are committed to provide our students best quality education with ethics. Moving in this direction, we have decided that unlike other expensive and 5star facility type institutes who are huge investors and advertisers, we shall not invest huge amount of money in advertisements. It shall rather be invested on the betterment, enhancement of quality and resources at our center.
We are just looking forward to have 'word-of-mouth' publicity instead. Because, there is only a satisfied student and his/her parents can judge an institute's quality and it's faculty members coaching.
Those coaching institutes, who are investing highly on advertisements, are actually, wasting their money on it, in a sense. Rather, the money should be invested on highly experienced faculty members and on teaching gears.
We all at 'Apex' are taking this initiative to improve the quality of education along-with each student's development and growth.
Committed to excellence...
With best wishes.
S . Iqbal
( Motivator & Mentor)
APEX INSTITUTE was conceptualized in May 2008, keeping in view the dreams of young students by the vision & toil of Er. Shahid Iqbal. We had a very humble beginning as an institute for IIT-JEE / Medical, with a vision to provide an ideal launch pad for serious JEE students . We actually started to make a difference in the way students think and approach problems.
Temple of Asclepius in Thrace. Excavation resultsKrassimira Luka
The temple and the sanctuary around were dedicated to Asklepios Zmidrenus. This name has been known since 1875 when an inscription dedicated to him was discovered in Rome. The inscription is dated in 227 AD and was left by soldiers originating from the city of Philippopolis (modern Plovdiv).
Beyond Degrees - Empowering the Workforce in the Context of Skills-First.pptxEduSkills OECD
Iván Bornacelly, Policy Analyst at the OECD Centre for Skills, OECD, presents at the webinar 'Tackling job market gaps with a skills-first approach' on 12 June 2024
it describes the bony anatomy including the femoral head , acetabulum, labrum . also discusses the capsule , ligaments . muscle that act on the hip joint and the range of motion are outlined. factors affecting hip joint stability and weight transmission through the joint are summarized.
हिंदी वर्णमाला पीपीटी, hindi alphabet PPT presentation, hindi varnamala PPT, Hindi Varnamala pdf, हिंदी स्वर, हिंदी व्यंजन, sikhiye hindi varnmala, dr. mulla adam ali, hindi language and literature, hindi alphabet with drawing, hindi alphabet pdf, hindi varnamala for childrens, hindi language, hindi varnamala practice for kids, https://www.drmullaadamali.com
Strategies for Effective Upskilling is a presentation by Chinwendu Peace in a Your Skill Boost Masterclass organisation by the Excellence Foundation for South Sudan on 08th and 09th June 2024 from 1 PM to 3 PM on each day.
How to Make a Field Mandatory in Odoo 17Celine George
In Odoo, making a field required can be done through both Python code and XML views. When you set the required attribute to True in Python code, it makes the field required across all views where it's used. Conversely, when you set the required attribute in XML views, it makes the field required only in the context of that particular view.
Communicating effectively and consistently with students can help them feel at ease during their learning experience and provide the instructor with a communication trail to track the course's progress. This workshop will take you through constructing an engaging course container to facilitate effective communication.
1. QUESTION BANK (CLASS-VIII)
Q.1
Which of the following are in inverse proportion?
(i) The number of workers on a job and the time to complete the job.
(ii) The time taken for a journey and the distance travelled in a uniform speed.
(iii) Area of cultivated land and the crop harvested.
(iv) The time taken for a fixed journey and the speed of the vehicle.
(v) The population of a country and the area of land per person.
Q.2
If 60% people in city like cricket, 30% like football and the remaining like other games, then what per
cent of the people like other games? If the total number of people are 50 lakh, find the exact number who
like each type of game.
Q.3
Express the number appearing in the following statements in standard form.
(ii) Charge of an electron is 0.000, 000, 000, 000, 000, 000, 16 coulomb.
(iii) Size of a bacteria is 0.0000005 m
(iv) Size of a plant cell is 0.00001275 m
(v) Thickness of a thick paper is 0.07 mm
Q.4
Subtract the following.
(a) 4a − 7ab + 3b + 12 from 12a − 9ab + 5b − 3
(b) 3xy + 5yz − 7zx from 5xy − 2yz − 2zx + 10xyz
(c) 4p2q − 3pq + 5pq2 − 8p + 7q − 10 from 18 − 3p − 11q + 5pq − 2pq2 + 5p2q
Q.5
If a box of sweets is divided among 24 children, they will get 5 sweets each. How many would each get, if
the number of the children is reduced by 4?
Q.6
Rukhsar painted the outside of the cabinet of measure 1 m × 2 m × 1.5 m. How much surface area did she
cover if she painted all except the bottom of the cabinet?
62, Nitikhand-3 Indirapuram, Ghaziabad. Call us +91-9910817866 +91-9990495952 +91-9310122993| http://apexiit.co.in/
2. QUESTION BANK (CLASS-VIII)
Q.7
Daniel is painting the walls and ceiling of a cuboidal hall with length, breadth and height of 15 m, 10 m
and 7 m respectively. From each can of paint 100 m2 of area is painted. How many cans of paint will she
need to paint the room?
Q.8
If each edge of a cube is doubled,
(i) how many times will its surface area increase?
(ii) how many times will its volume increase?
Q.9
Simplify 3x (4x −5) + 3 and find its values for
Q.10
Add the following.
(i) ab − bc, bc − ca, ca − ab
(ii) a − b + ab, b − c + bc, c − a + ac
(iii) 2p2q2 − 3pq + 4, 5 + 7pq − 3p2q2
(iv) l2 + m2, m2 + n2, n2 + l2, 2lm + 2mn + 2nl
Q.11
Find and correct the errors in the statement: 2x + 3y = 5xy
Q.12
Write the coordinates of the vertices of each of these adjoining figures.
62, Nitikhand-3 Indirapuram, Ghaziabad. Call us +91-9910817866 +91-9990495952 +91-9310122993| http://apexiit.co.in/
3. QUESTION BANK (CLASS-VIII)
Q.13
How are pyramids and cones alike?
Q.14
A machine in a soft drink factory fills 840 bottles in six hours. How many bottles will it fill in five hours?
Q.15
Find and correct the errors in the statement: 4(x - 5) = 4x - 5
Q.16
Find and correct the errors in the statement: (3x + 2)2 = 3x2 + 6x + 4
Q.17
Find the following squares by suing the identities.
(i) (b − 7)2
(ii) (xy + 3z)2
(iii) (6x2 − 5y)2
(iv) (0.4p − 0.5q)2
(v) (2xy + 5y)2
Q.18
A road roller takes 750 complete revolutions to move once over to level a road. Find the area of the road if
the diameter of a road roller is 84 cm and length is 1 m.
Q.19
Q.20
A mixture of paint is prepared by mixing 1 part of red pigments with 8 parts of base. In the following
table, find the parts of base that need to be added.
Parts of red pigment
1
4
7
12
20
62, Nitikhand-3 Indirapuram, Ghaziabad. Call us +91-9910817866 +91-9990495952 +91-9310122993| http://apexiit.co.in/
4. QUESTION BANK (CLASS-VIII)
Parts of base
Q.21
8
...
...
...
...
Multiply the binomials.
(i)
(2x + 5) and (4x − 3) (ii) (y − 8) and (3y − 4)
(iii) (2.5l − 0.5m) and (2.5l + 0.5m) (iv) (a + 3b) and (x + 5)
(v)
Q.22
(2pq + 3q2) and (3pq − 2q2)
A square and a rectangular field with measurements as given in the figure have the same perimeter. Which
field has a larger area?
(a)
(b)
Q.23
The following graph shows the temperature of a patient in a hospital, recorded every hour.
62, Nitikhand-3 Indirapuram, Ghaziabad. Call us +91-9910817866 +91-9990495952 +91-9310122993| http://apexiit.co.in/
5. QUESTION BANK (CLASS-VIII)
(a) What was the patient’s temperature at 1 p.m.?
(b) When was the patient’s temperature 38.5°C?
(c) The patient’s temperature was the same two times during the period given. What were these two times?
(d) What was the temperature at 1.30 p.m? How did you arrive at your answer?
(e) During which periods did the patient’s temperature show an upward trend?
Q.24
The following graph shows the temperature forecast and the actual temperature for each day of a week.
------ Forest
_____ Actual
(a) On which days was the forecast temperature the same as the actual temperature?
62, Nitikhand-3 Indirapuram, Ghaziabad. Call us +91-9910817866 +91-9990495952 +91-9310122993| http://apexiit.co.in/
6. QUESTION BANK (CLASS-VIII)
(b) What was the maximum forecast temperature during the week?
(c) What was the minimum actual temperature during the week?
(d) On which day did the actual temperature differ the most from the forecast temperature?
______
Q.25
A courier-person cycles from a town to a neighboring suburban area to deliver a parcel to a merchant. His
distance from the town at different times is shown by the following graph.
(a) What is the scale taken for the time axis?
(b) How much time did the person take for the travel?
(c) How far is the place of the merchant from the town?
(d) Did the person stop on his way? Explain.
(e) During which period did he ride fastest?
Q.26
A 5 m 60 cm high vertical pole casts a shadow 3 m 20 cm long. Find at the same time (i) the length of the shadow cast by another pole 10 m 50 cm high
(ii) the height of a pole which casts a shadow 5 m long.
Q.27
In a laboratory, the count of bacteria in a certain experiment was increasing at the rate of 2.5% per hour.
Find the bacteria at the end of 2 hours if the count was initially 5,06,000.
Q.28
The diagonal of a quadrilateral shaped field is 24 m and the perpendiculars dropped on it from the
remaining opposite vertices are 8 m and 13 m. Find the area of the field.
62, Nitikhand-3 Indirapuram, Ghaziabad. Call us +91-9910817866 +91-9990495952 +91-9310122993| http://apexiit.co.in/
7. QUESTION BANK (CLASS-VIII)
Q.29
Verify Euler’s formula for these solids.
Faces
?
5
20
Vertices
6
?
12
Edges
12
9
?
Q.30
Show that (9p − 5q)2 + 180pq = (9p + 5q)2
Q.31
A suitcase with measures 80 cm × 48 cm × 24 cm is to be covered with a tarpaulin cloth. How many
metres of tarpaulin of width 96 cm is required to cover 100 such suitcases?
Q.32
Plot the following points on a graph sheet. Verify if they lie on a line
(a) A(4, 0), B(4, 2), C(4, 6), D(4, 2.5)
(b) P(1, 1), Q(2, 2), R(3, 3), S(4, 4)
(c) K(2, 3), L(5, 3), M(5, 5), N(2, 5)
Q.33
Show that (a − b) (a + b) + (b − c) (b + c) + (c − a) (c + a) = 0
Q.34
Simplify a(a2 + a + 1) + 5 and find its values for
(i) a = 0,
(ii) a = 1,
(iii) a = − 1.
Q.35
Find and correct the errors in the statement: (2x)2 + 5x = 4x + 5x = 9x
62, Nitikhand-3 Indirapuram, Ghaziabad. Call us +91-9910817866 +91-9990495952 +91-9310122993| http://apexiit.co.in/
8. QUESTION BANK (CLASS-VIII)
Q.36
A factory required 42 machines to produce a given number of articles in 63 days. How many machines
would be required to produce the same number of articles in 54 days?
Q.37
Kamala borrowed Rs 26400 from a Bank to buy a scooter at a rate of 15% p.a. compounded yearly. What
amount will she pay at the end of 2 years and 4 months to clear the loan?
Q.38
Describe how the two figures at the right are alike and how they are different. Which box has larger lateral
surface area?
Q.39
Q.40
A man got a 10% increase in his salary. If his new salary is Rs 1,54,000, find his original salary.
Find the amount and the compound interest on Rs 10,000 for
years at 10% per annum, compounded
half yearly. Would this interest be more than the interest he would get if it was compounded annually?
Q.41
If Chameli had Rs 600 left after spending 75% of her money, how much did she have in the beginning?
Q.42
A farmer has enough food to feed 20 animals in his cattle for 6 days. How long would the food last if there
were 10 more animals in his cattle?
Q.43
State whether True or False. Correct those are false.
(i) A point whose x coordinate is zero and y-coordinate is non-zero will lie on the y-axis.
(ii) A point whose y coordinate is zero and x-coordinate is 5 will lie on y-axis.
(iii) The coordinates of the origin are (0, 0).
Q.44
Find the product.
62, Nitikhand-3 Indirapuram, Ghaziabad. Call us +91-9910817866 +91-9990495952 +91-9310122993| http://apexiit.co.in/
9. QUESTION BANK (CLASS-VIII)
Q.45
A shopkeeper buys 80 articles for Rs 2,400 and sells them for a profit of 16%. Find the selling price of one
article.
Q.46
Can there be a time temperature graph as follows? Justify you’re answer:
(i)
(ii)
(iii)
62, Nitikhand-3 Indirapuram, Ghaziabad. Call us +91-9910817866 +91-9990495952 +91-9310122993| http://apexiit.co.in/
10. QUESTION BANK (CLASS-VIII)
(iv)
Q.47
A scooter was bought at Rs 42,000. Its value depreciated at the rate of 8% per annum. Find its value after
one year.
Q.48
Obtain the volume of rectangular boxes with the following length, breadth and height respectively.
(i) 5a, 3a2, 7a4
(ii) 2p, 4q, 8r
(iii) xy, 2x2y, 2xy2
(iv) a, 2b, 3c
Q.49
Which are prisms among the following?
62, Nitikhand-3 Indirapuram, Ghaziabad. Call us +91-9910817866 +91-9990495952 +91-9310122993| http://apexiit.co.in/
11. QUESTION BANK (CLASS-VIII)
Q.50
A school has 8 periods a day each of 45 minutes duration. How long would each period be, if the school
has 9 periods a day, assuming the number of school hours to be the same?
Q.51
Use the identity (x + a) (x + b) = x2 + (a + b)x + ab to find the following products.
(i) (x + 3) (x + 7)
(ii) (4x +5) (4x + 1)
(iii) (4x − 5) (4x − 1)
(iv) (4x + 5) (4x − 1)
(v) (2x +5y) (2x + 3y)
(vi) (2a2 +9) (2a2 + 5)
(vii) (xyz − 4) (xyz − 2)
Q.52
A VCR and TV were bought for Rs 8,000 each. The shopkeeper made a loss of 4% on the VCR and a
profit of 8% on the TV. Find the gain or loss percent on the whole transaction.
Q.53
Using identities, evaluate.
(i) 712
(ii) 992
(iii) 1022
(iv) 9982
(v) (5.2)2
(vi) 297 × 303
(vii) 78 × 82
(viii) 8.92
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12. QUESTION BANK (CLASS-VIII)
(ix) 1.05 × 9.5
Q.54
Arun bought a pair of skates at a sale where the discount given was 20%. If the amount he pays is Rs
1,600, find the marked price.
Q.55
During a sale, a shop offered a discount of 10% on the marked prices of all the items. What would a
customer have to pay for a pair of jeans marked at Rs 1450 and two shirts marked at Rs 850 each?
Q.56
Factorise
(i) (l + m)2 − (l − m)2
(ii) 9x2y2 − 16
(iii) (x2 − 2xy + y2) − z2
(iv) 25a2 − 4b2 + 28bc − 49c2
Q.57
Vasudevan invested Rs 60000 at an interest rate of 12% per annum compounded half yearly. What amount
would he get
(i) after 6 months?
(ii) after 1 year?
Q.58
Draw the line passing through (2, 3) and (3, 2). Find the coordinates of the points at which this line meets
the x-axis and y-axis.
Q.59
Simplify and express the result in power notation with positive exponent.
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13. QUESTION BANK (CLASS-VIII)
Q.60
A batch of bottles was packed in 25 boxes with 12 bottles in each box. If the same batch is packed using
20 bottles in each box, how many boxes would be filled?
Q.61
Factorise the expressions
(i) (lm + l) + m + 1
(ii) y(y + z) + 9(y + z)
(iii) 5y2 − 20y − 8z + 2yz
(iv) 10ab + 4a + 5b + 2
(v) 6xy − 4y + 6 − 9x
Q.62
Find and correct the errors in the statement: (2x)2 + 4(2x) + 7 = 2x2 + 8x + 7
Q.63
Q.64
Q.65
Find and correct the errors in the statement:
Q.66
Find the height of a cuboid whose base area is 180 cm2 and volume is 900 cm3?
Q.67
Rashmi has a road map with a scale of 1 cm representing 18 km. She drives on a road for 72 km. What
would be her distance covered in the map?
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14. QUESTION BANK (CLASS-VIII)
Q.68
Find the product of the following pairs of monomials.
(i) 4, 7p
(ii) − 4p, 7p
(iii) − 4p, 7pq
(iv) 4p3, − 3p
(v) 4p, 0
Q.69
Find and correct the errors in the statement:
Q.70
Arif took a loan of Rs 80,000 from a bank. If the rate of interest is 10% per annum, find the difference in
amounts he would be paying after
years if the interest is
(i) Compounded annually
(ii) Compounded half yearly
Q.71
Find the value of.
Q.72
Find and correct the errors in the statement: (y - 3)2 = y2 - 9
Q.73
Maria invested Rs 8,000 in a business. She would be paid interest at 5% per annum compounded annually.
Find.
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15. QUESTION BANK (CLASS-VIII)
(i) The amount credited against her name at the end of the second year
(ii) The interest for the 3rd year.
Q.74
An ant is moving around a few food pieces of different shapes scattered on the floor. For which food piece would the ant have to take a longer round? Remember, circumference of a circle can be obtained by
using the expression c = 2πr, where r is the radius of the circle.
(a)
(b)
(c)
Q.75
The cost of an article was Rs 15,500. Rs 450 were spent on its repairs. If it is sold for a profit of 15%, find
the selling price of the article.
Q.76
Q.77
A closed cylindrical tank of radius 7 m and height 3 m is made from a sheet of metal. How much sheet of
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16. QUESTION BANK (CLASS-VIII)
metal is required?
Q.78
Find the product.
(i) (5 − 2x) (3 + x)
(ii) (x + 7y) (7x − y)
(iii) (a2 + b) (a + b2)
(iv) (p2 − q2) (2p + q)
Q.79
Use the table below to draw linear graph.
The number of days a hill side city received snow in different years.
Year
2004
2005
2006
Days
Q.80
2003
8
10
5
12
Factorise the following expressions.
(i) 4x2 − 8x + 4
(ii) 121b2 − 88bc + 16c2
(iii) (l + m)2 − 4lm
(iv) a4 + 2a2b2 + b4
Q.81
How are prisms and cylinders alike?
Q.82
A contractor estimates that 3 persons could rewire Jasminder’s house in 4 days. If, he uses 4 persons
instead of three, how long should they take to complete the job?
Q.83
Find the value of m for which 5m ÷ 5−3 = 55.
Q.84
Find and correct the errors in the statement: 3x + 2x = 5x2
Q.85
Factorise the expressions and divide them as directed.
(i) (y2 + 7y + 10) ÷ (y + 5)
(ii) (m2 - 14m - 32) ÷ (m + 2)
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17. QUESTION BANK (CLASS-VIII)
(iii) (5p2 - 25p + 20) ÷ (p - 1)
(iv) 4yz(z2 + 6z - 16) ÷ 2y(z + 8)
Q.86
Is it possible to have a polyhedron with any given number of faces? (Hint: Think of a pyramid).
Q.87
Find and correct the errors in the statement:
Q.88
Show that (4pq + 3q)2− (4pq − 3q)2 = 48pq2
Q.89
A cuboid is of dimensions 60 cm × 54 cm × 30 cm. How many small cubes with side 6 cm can be placed
in the given cuboid?
Q.90
Look at the given map of a city.
Answer the following.
(a) Colour the map as follows: Blue - water plant, red - fire station, orange - library, yellow - schools,
green - park, pink - college, purple - hospital, brown - cemetery.
(b) Mark a green ‘X’ at the intersection of Road ‘C’ and Nehru Road, Green ‘Y’ at the intersection of
Gandhi Road and Road A.
(c) In red, draw a short street route from library to the bus depot.
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18. QUESTION BANK (CLASS-VIII)
(d) Which is further east, the city park or the market?
(e) Which is further south, the Primary School or the Sr. Secondary School?
Q.91
A milkman sold two of his buffaloes for Rs 20,000 each. On one he made a gain of 5% and on the other a
loss of 10%. Find his overall gain or loss.
(Hint: Find CP of each)
Q.92
Diagram of the adjacent picture frame has outer dimensions = 24 cm × 28 cm and inner dimensions 16 cm
× 20 cm. Find the area of each section of the frame, if the width of each section is same.
Q.93
Subtract: 3l (l − 4m + 5n) from 4l (10n − 3m + 2l)
Q.94
Use a suitable identity to get each of the following products.
(i) (x + 3) (x + 3)
(ii) (2y + 5) (2y + 5)
(iii) (2a − 7) (2a − 7)
(iv) (1.1m − 0.4) (1.1 m + 0.4)
(v) (a2 + b2) (− a2 + b2)
(vi) (6x − 7) (6x + 7)
(vii) (− a + c) (− a + c)
(viii) (7a − 9b) (7a − 9b)
Q.95
For each of the given solid, the three views are given. Identify for each solid the corresponding top, front
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19. QUESTION BANK (CLASS-VIII)
and side views.
Q.96
In a Television game show, the prize money of Rs 1,00,000 is to be divided equally amongst the winners.
Complete the following table and find whether the prize money given to an individual winner is directly or
inversely proportional to the number of winners?
Number of winners
1
2
4
5
8
10
20
1,00,000
50,000
...
...
...
...
...
Prize for each winner
(in Rs)
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20. QUESTION BANK (CLASS-VIII)
Q.97
A photograph of a bacteria enlarged 50,000 times attains a length of 5 cm. What is the actual length of the
bacteria? If the photograph is enlarged 20,000 times only, what would be its enlarged length?
Q.98
A car takes 2 hours to reach a destination by travelling at the speed of 60 km/h. how long will it take when
the car travels at the speed of 80 km/h?
Q.99
Factorise the following expressions
(i) 7x - 42
(ii) 6p - 12q
(iii) 7a2 + 14a
(iv) −16z + 20z3
(v) 20l2m + 30 alm
Q.100
Factorise
(i) a4 − b4
(ii) p4 − 81
(iii) x4 − (y + z)4
(iv) x4 − (x − z)4
(v) a4 − 2a2b2 + b4
Q.101
Using (x + a) (x + b) = x2 + (a + b) x + ab, find
(i) 103 × 104
(ii) 5.1 × 5.2
(iii) 103 × 98
(iv) 9.7 × 9.8
Q.102
The shape of a garden is rectangular in the middle and semi circular at the ends as shown in the diagram.
Find the area and the perimeter of the garden.
[Length of rectangle is 20 - (3.5 + 3.5) metres]
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21. QUESTION BANK (CLASS-VIII)
Q.103
Convert the following ratios to percentages.
(a) 3:4
(b) 2:3
Q.104
The following line graph shows the yearly sales figure for a manufacturing company.
(a) What were the sales in (i) 2002 (ii) 2006?
(b) What were the sales in (i) 2003 (ii) 2005?
(c) Compute the difference between the sales in 2002 and 2006.
(d) In which year was there the greatest difference between the sales as compared to its previous year?
Q.105
Find and correct the errors in the statement: (a + 4) (a + 2) = a2 + 8
Q.106
Find and correct the errors in the following mathematical statement. Substituting x = -3 in
(a) x2 + 5x + 4 gives (-3)2 + 5 (-3) + 4 = 9 + 2 + 4 = 15
(b) x2 - 5x + 4 gives (-3)2 - 5 (-3) + 4 = 9 - 15 + 4 = -2
(c) x2 + 5x gives (-3)2 + 5 (-3) = -9 - 15 = -24
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22. QUESTION BANK (CLASS-VIII)
Q.107
Carry out the following divisions.
(i) 28x4 ÷ 56x
(ii) −36y3 ÷ 9y2
(iii) 66pq2r3 ÷ 11qr2
(iv) 34x3y3z3 ÷ 51xy2z3
(v) 12a8b8 ÷ (−6a6b4)
Q.108
Find and correct the errors in the statement:
Q.109
The lateral surface area of a hollow cylinder is 4224 cm2. It is cut along its height and formed a
rectangular sheet of width 33 cm. Find the perimeter of rectangular sheet?
Q.110
Top surface of a raised platform is in the shape of a regular octagon as shown in the figure. Find the area
of the octagonal surface.
Q.111
In a model of a ship, the mast is 9 cm high, while the mast of the actual ship is 12 m high. If the length of
the ship is 28 m, how long is the model ship?
Q.112
Factorise the following expressions
(i) 5x2y − 15xy2
(ii) 10a2 − 15b2 + 20c2
(iii) −4a2 + 4ab − 4 ca
(iv) x2yz + xy2z + xyz2
(v) ax2y + bxy2 + cxyz
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23. QUESTION BANK (CLASS-VIII)
Q.113
Subtract: 3a (a + b + c) − 2b (a − b + c) from 4c (− a + b + c)
Q.114
Find and correct the errors in the statement: (2a + 3b) (a - b) = 2a2 - 3b2
Q.115
The area of a trapezium is 34 cm2 and the length of one of the parallel sides is 10 cm and its height is 4
cm. Find the length of the other parallel side.
Q.116
Given a cylindrical tank, in which situation will you find surface area and in which situation volume.
(a) To find how much it can hold
(b) Number of cement bags required to plaster it
(c) To find the number of smaller tanks that can be filled with water from it.
Q.117
Express the following numbers in standard form.
(i) 0.0000000000085
(ii) 0.00000000000942
(iii) 6020000000000000
(iv) 0.00000000837
(v) 31860000000
Q.118
A flooring tile has the shape of a parallelogram whose base is 24 cm and the corresponding height is 10
cm. How many such tiles are required to cover a floor of area 1080 m2?
Q.119
Find and correct the errors in the statement:
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24. QUESTION BANK (CLASS-VIII)
Q.120
Can a polyhedron have for its faces
(i) 3 triangles?
(ii) 4 triangles?
(iii) a square and four triangles?
Q.121
I purchased a hair-dryer for Rs 5,400 including 8% VAT. Find the price before VAT was added.
Q.122
Verify Euler’s formula for these solids.
Q.123
Draw the graph for the given table of values, with suitable scale on the axes.
Distance travelled by a car
Time (in hours)
6 a.m.
7 a.m.
8 a.m.
9 a.m.
Distance (in km)
40
80
120
160
(i) How much distance did the car cover during the period 7.30 a.m. to 8 a.m.?
(ii) What was the time when the car had covered a distance of 100 km since its start?
Q.124
A football team won 10 matches out of the total number of matches they played. If their win percentage
was 40, then how many matches did they play in all?
Q.125
Find the common factors of the terms
(i) 12x, 36
(ii)
2y, 22xy
(iii) 14pq, 28p2q2
(iv) 2x, 3x2, 4
(v)
6abc, 24ab2, 12a2b
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25. QUESTION BANK (CLASS-VIII)
(vi) 16x3, −4x2, 32x
(vii) 10pq, 20qr, 30rp
(viii) 3x2y3, 10x3y2, 6x2y2z
Q.126
Evaluate 3−2
Q.127
Q.128
Simplify.
(i) (a2 − b2)2
(ii) (2x +5)2 − (2x − 5)2
(iii) (7m − 8n)2 + (7m + 8n)2
(iv) (4m + 5n)2 + (5m + 4n)2
(v) (2.5p − 1.5q)2 − (1.5p − 2.5q)2
(vi) (ab + bc)2 − 2ab2c
(vii) (m2 − n2m)2 + 2m3n2
Q.129
Complete the table of products.
First monomial →
2x
-5y
3x²
-4xy
7x²y
-9x²y²
2x
4x²
...
...
...
...
...
-5y
...
...
-15x²y
...
...
...
3x²
...
...
...
...
...
...
-4xy
...
...
...
...
...
...
7x²y
...
...
...
...
...
...
-9x²y²
...
....
...
...
...
...
Second monomial↓
Q.130
Classify the following polynomials as monomials, binomials, trinomials. Which polynomials do not fit in
any of these three categories?
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26. QUESTION BANK (CLASS-VIII)
x + y, 1000, x + x2 + x3 + x4, 7 + y + 5x, 2y − 3y2, 2y − 3y2 + 4y3,
5x − 4y + 3xy, 4z − 15z2, ab + bc + cd + da, pqr, p2q + pq2, 2p + 2q
Q.131
The shape of the top surface of a table is a trapezium. Find its area if its parallel sides are 1 m and 1.2 m
and perpendicular distance between them is 0.8 m.
Q.132
The diagonals of a rhombus are 7.5 cm and 12 cm. Find its area.
Q.133
Find the ratio of the following:
(a) Speed of a cycle 15 km per hour to the speed of scooter 30 km per hour.
(b) 5 m to 10 km
(c) 50 paise to Rs 5
Q.134
Find and correct the errors in the statement: (a - 4) (a - 2) = a2 - 8
Q.135
Simplify.
(i) (x2 − 5) (x + 5) + 25
(ii) (a2 + 5) (b3 + 3) + 5
(iii) (t + s2) (t2 − s)
(iv) (a + b) (c − d) + (a − b) (c + d) + 2 (ac + bd)
(v) (x + y) (2x + y) + (x + 2y) (x − y)
(vi) (x + y) (x2 − xy + y2)
(vii) (1.5x − 4y) (1.5x + 4y + 3) − 4.5x + 12y
(viii) (a + b + c) (a + b − c)
Q.136
Factorise the expressions
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27. QUESTION BANK (CLASS-VIII)
(i) ax2 + bx
(ii) 7p2 + 21q2
(iii) 2x3 + 2xy2 + 2xz2
(iv) am2 + bm2 + bn2 + an2
Q.137
Find and correct the errors in the statement: x + 2x + 3x = 5x
Q.138
Add: p (p − q), q (q − r) and r (r − p)
Q.139
In a stack there are 5 books each of thickness 20 mm and 5 paper sheets each of thickness 0.016 mm.
What is the total thickness of the stack?
Q.140
Suppose 2 kg of sugar contains 9 × 106 crystals. How many sugar crystals are there in
(i) 5 kg of sugar?
(ii) 1.2 kg of sugar?
Q.141
Add: 2x (z − x − y) and 2y (z − y − x)
Q.142
Show that (3x + 7)2 − 84x = (3x − 7)2
Q.143
Draw a graph for the given table:
Side of a square (in cm)
2
3
3.5
5
6
Perimeter (in cm)
8
12
14
20
24
Is it a linear graph?
Q.144
Express the following numbers in usual form.
(i) 3.02 × 10−6
(ii) 4.5 × 104
(iii) 3 × 10−8
(iv) 1.0001 × 109
(v) 5.8 × 1012
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28. QUESTION BANK (CLASS-VIII)
(vi) 3.61492 × 106
Q.145
A milk tank is in the form of cylinder whose radius is 1.5 m and length is 7 m. Find the quantity of milk in
litres that can be stored in the tank?
Q.146
Factorise the following expressions.
(i) a2 + 8a + 16
(ii) p2 − 10p + 25
(iii) 25m2 + 30m + 9
(iv) 49y2 + 84yz + 36z2
Q.147
Q.148
Find the height of the cylinder whose volume is 1.54 m3 and diameter of the base is 140 cm?
Q.149
A loaded truck travels 14 km in 25 minutes. If the speed remains the same, how far can it travel in 5
hours?
Q.150
Factorise
(i) x2 + xy + 8x + 8y
(ii) 15xy − 6x + 5y − 2
(iii) ax + bx − ay − by
(iv) 15pq + 15 + 9q + 25p
(v) z − 7 + 7xy − xyz
Q.151
Two persons could fit new windows in house in 3 days.
(i) One of the persons fell ill before the work started. How long would the job take now?
(ii) How many persons would be needed to fit the windows in one day?
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29. QUESTION BANK (CLASS-VIII)
Q.152
A company packages its milk powder in cylindrical container whose base has a diameter of 14 cm and
height 20 cm. Company places a label around the surface of the container (as shown in the figure). If the
label is placed 2 cm from top and bottom, what is the area of the label.
Q.153
The floor of a building consists of 3000 tiles which are rhombus shaped and each of its diagonals are 45
cm and 30 cm in length. Find the total cost of polishing the floor, if the cost per m2 is Rs 4.
Q.154
Evaluate (5-1 x 2-1) x 6-1
Q.155
72% of 25 students are good in mathematics. How many are not good in mathematics?
Q.156
Using a2 − b2 = (a + b) (a − b), find
(i) 512 − 492
(ii) (1.02)2 − (0.98)2
(iii) 1532 − 1472
(iv) 12.12 − 7.92
Q.157
Draw the graph for the given table of values, with suitable scale on the axes.
Interest on deposits for a year:
Deposit (in Rs)
1000
2000
3000
4000
5000
Simple Interest (in Rs)
80
160
240
320
400
(i) Does the graph pass through the origin?
(ii) Use the graph to find the interest on Rs 2500 for a year:
(iii) To get an interest of Rs 280 per year, how much money should be deposited?
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30. QUESTION BANK (CLASS-VIII)
Q.158
Length of the fence of a trapezium shaped field ABCD is 120 m. If BC = 48 m, CD = 17 m and AD = 40
m, find the area of this field. Side AB is perpendicular to the parallel sides AD and BC.
Q.159
Diameter of cylinder A is 7 cm, and the height is 14 cm. Diameter of cylinder B is 14 cm and height is 7
cm. Without doing any calculations can you suggest whose volume is greater? Verify it by finding the
volume of both the cylinders. Check whether the cylinder with greater volume also has greater surface
area?
Q.160
The price of a TV is Rs 13,000. The sales tax charged on it is at the rate of 12%. Find the amount that
Vinod will have to pay if he buys it,
Q.161
Draw the graph for the given table of values, with suitable scale on the axes.
Cost of apples
Number of apples
2
3
4
5
Cost (in Rs)
Q.162
1
5
10
15
20
25
For an experiment in Botany, two different plants, plant A and plant B were grown under similar
laboratory conditions. Their heights were measured at the end of each week for 3 weeks. The results are
shown by the following graph.
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31. QUESTION BANK (CLASS-VIII)
(a) How high was Plant A after (i) 2 weeks (ii) 3weeks?
(b) How high was Plant B after (i) 2 weeks (ii) 3weeks?
(c) How much did Plant A grow during the 3rd week?
(d) How much did Plant B grow from the end of the 2nd week to the end of the 3rd week?
(e) During which week did Plant A grow most?
(f) During which week did Plant B grow least?
(g) Were the two plants of the same height during any week shown here? Specify.
Q.163
Mrs. Kaushik has a square plot with the measurement as shown in the following figure. She wants to
construct a house in the middle of the plot. A garden is developed around the house. Find the total cost of
developing a garden around the house at the rate of Rs 55 per m2.
Q.164
Find and correct the errors in the statement:
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32. QUESTION BANK (CLASS-VIII)
Q.165
Water is pouring into a cubiodal reservoir at the rate of 60 litres per minute. If the volume of reservoir is
108 m3, find the number of hours it will take to fill the reservoir.
Q.166
Obtain the product of
(i) xy, yz, zx
(ii) a, − a2, a3
(iii) 2, 4y, 8y2, 16y3
(iv) a, 2b, 3c, 6abc
(v) m, − mn, mnp
Q.167
Factorise the following expressions
(i) p2 + 6p + 8
(ii) q2 − 10q + 21
(iii) p2 + 6p − 16
Q.168
Find and correct the errors in the statement: x(3x + 2) = 3x2 + 2
Q.169
Divide as directed.
(i) 5(2x + 1) (3x + 5) ÷ (2x + 1)
(ii) 26xy(x + 5) (y - 4) ÷ 13x(y - 4)
(iii) 52pqr (p + q) (q + r) (r + p) ÷ 104pq(q + r) (r + p)
(iv) 20(y + 4) (y2 + 5y + 3) ÷ 5(y + 4)
(v) x(x + 1) (x + 2) (x + 3) ÷ x(x + 1)
Q.170
Rehman is making a wheel using spokes. He wants to fix equal spokes in such a way that the angles
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33. QUESTION BANK (CLASS-VIII)
between any pair of consecutive spokes are equal. Help him by completing the following table.
Number of spokes
4
6
8
10
12
90°
60°
...
...
..
Angle between a pair of
consecutive spokes
(i) Are the number of spokes and the angles formed between the pairs of consecutive spokes in inverse
proportion?
(ii) Calculate the angle between a pair of consecutive spokes on a wheel with 15 spokes.
(iii) How many spokes would be needed, if the angle between a pair of consecutive spokes is 40°?
Q.171
Following are the car parking charges near a railway station up to
4 hours
Rs 60
8 hours
Rs 100
12 hours
Rs 140
24 hours
Rs 180
Check if the parking charges are in direct proportion to the parking time.
Q.172
There is a pentagonal shaped park as shown in the figure.
For finding its area Jyoti and Kavita divided it in two different ways.
Find the area of this park using both ways. Can you suggest some other way of finding its area?
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34. QUESTION BANK (CLASS-VIII)
Q.173
There are two cuboidal boxes as shown in the adjoining figure. Which box requires the lesser amount of
material to make?
(a)
Q.174
(b)
Find the areas of rectangles with the following pairs of monomials as their lengths and breadths
respectively.
(a) (p, q)
(b) (10m, 5n)
(c) (20x2, 5y2)
(d) (4x, 3x2)
(e) (3mn, 4np)
Q.175
Find the side of a cube whose surface area is 600 cm2.
Q.176
Use the tables below to draw linear graph.
Population (in thousands) of men and women in a village in different years.
Year
2004
2005
2006
2007
Number of Men
12
12.5
13
13.2
13.5
Number of Women
Q.177
2003
11.3
11.9
13
13.6
12.8
Factorise the expressions and divide them as directed.
(i) 5pq(p2 - q2) ÷ 2p(p + q)
(ii) 12xy(9x2 - 16y2) ÷ 4xy(3x + 4y)
(iii) 39y3(50y2 - 98) ÷ 26y2(5y + 7)
Q.178
Find and correct the errors in the statement: 5y + 2y + y - 7y = 0
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35. QUESTION BANK (CLASS-VIII)
Q.179
Divide the given polynomial by the given monomial.
(i) (5x2 − 6x) ÷ 3x
(ii) (3y8 − 4y6 + 5y4) ÷ y4
(iii) 8(x3y2z2 + x2y3z2 + x2y2z3) ÷ 4x2y2z2
(iv) (x3 + 2x2 + 3x) ÷ 2x
(v) (p3q6 − p6q3) ÷ p3q3
Q.180
Calculate the amount and compound interest on
(a) Rs 10800 for 3 years at
per annum compounded annually.
(b) Rs 18000 for
years at 10% per annum compounded annually.
(c) Rs 62500 for
years at 8% per annum compounded half yearly.
(d) Rs 8000 for 1 year at 9% per annum compound half yearly.
(e) Rs 10000 for 1 year at 8% per annum compounded half yearly.
Q.181
Identify the terms, their coefficients for each of the following expressions.
(i) 5xyz2 − 3zy
(ii) 1 + x + x2
(iii) 4x2y2 − 4x2y2z2 + z2
(iv) 3 − pq + qr − rp
(vi) 0.3a − 0.6ab + 0.5b
Q.182
For each given solid, identify the top view, front view and side view.
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36. QUESTION BANK (CLASS-VIII)
Q.183
Factorise
(i) 4p2 − 9q2
(ii) 63a2 − 112b2
(iii) 49x2 − 36
(iv) 16x5 − 144x3
Q.184
The population of a place increased to 54000 in 2003 at a rate of 5% per annum
(i) find the population in 2001
(ii) what would be its population in 2005?
Q.185
Draw the front view, side view and top view of the given objects.
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37. QUESTION BANK (CLASS-VIII)
Q.186
Draw the graph for the given table:
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38. QUESTION BANK (CLASS-VIII)
Side of a square (in cm)
2
3
4
5
6
Area (in cm2)
4
9
16
25
24
Is it a linear graph?
Q.187
Is a square prism same as a cube? Explain.
Q.188
Mohan wants to buy a trapezium shaped field. Its side along the river is parallel to and twice the side
along the road. It the area of this field is 10500 m2 and the perpendicular distance between the two parallel
sides is 100 m, find the length of the side along the river.
Q.189
On Sunday 845 people went to the Zoo. On Monday only 169 people went. What is the per cent decrease
in the people visiting the zoo on Monday?
Q.190
Evaluate (−4)−2
Q.191
Carry out the multiplication of the expressions in each of the following pairs.
(i) 4p, q + r
(ii) ab, a − b
(iii) a + b, 7a2b2
(iv) a2 − 9, 4a
(v) pq + qr + rp, 0
Q.192
Work out the following divisions.
(i) (10x − 25) ÷ 5
(ii) (10x − 25) ÷ (2x − 5)
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39. QUESTION BANK (CLASS-VIII)
(iii) 10y(6y + 21) ÷ 5(2y + 7)
(iv) 9x2y2(3z − 24) ÷ 27xy(z − 8)
(v) 96abc(3a − 12)(5b − 30) ÷ 144(a − 4) (b − 6)
Q.193
Find the area of a rhombus whose side is 6 cm and whose altitude is 4 cm. If one of its diagonals is 8 cm
long, find the length of the other diagonal.
Q.194
Find the amount which Ram will get on Rs 4,096, he gave it for 18 months at
per annum, interest
being compounded half yearly.
Q.195
Complete the table:
First expression
Second expression
Product
(i)
a
b+c+d
...
(ii)
x + y -5
5xy
...
(iii)
p
6p2 - 7p + 5
...
(iv)
4p2q2
p2 - q2
...
(v)
a+b+c
abc
...
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