This document provides instructions and solutions for problems involving right triangles. It begins by asking the reader to identify right triangles from various figures and to name the components of a right triangle - the perpendicular sides and hypotenuse. It then presents four problems involving right triangles where the ratio of perpendicular sides is given as 3:4 and additional information is provided to determine the lengths of the sides. The solutions show setting up and solving equations using the Pythagorean theorem and properties of the triangles to find the side lengths of each triangle.
1. Cut strips of graph paper with positive integers from 1 to 10 written left to right and negative integers from -1 to -10 written right to left.
2. Paste the strips on either side of a line drawn on a sheet with the negative integers on the left and positive on the right meeting in the middle.
3. To add, move right along the number line and to subtract, move left, with examples given of adding 2 to 3 and subtracting 4 from 5.
This document provides instructions and examples for a math lesson on multiplication and area measurement. It includes examples of using square tiles to form rectangles with given side lengths or areas, drawing arrays, and writing multiplication equations to represent the relationships between side lengths and area. Students practice skip-counting, identifying common products, solving word problems involving area, and showing commutativity through area problems.
The document discusses calculating the boundary and area of different shapes. It provides examples of finding the boundary by adding the lengths of each side. For area, it explains counting the full and partial squares inside shapes, including irregular ones. For rectangles, a quicker method is given as multiplying the number of rows by the number of squares in each row.
The document contains a list of mathematical statements about numbers, patterns and relations, shape and space, and statistics and probability. Some key statements include: when you add three consecutive numbers, your answer is a multiple of three; when you divide a whole number by a fraction, the quotient is greater than the whole number; a whole number has an odd number of factors if it is a perfect square; if the sides of a right triangle are given, the third side can be calculated using the Pythagorean theorem; when you multiply two integers, the product is greater than either integer; if the price of an item is decreased by 25% and later increased by 25%, the final price will be the same as the original; the ratio
This document defines different types of lines used in geometry including straight lines, curved lines, polygonal lines, segments, parallel lines, and secant lines. Straight lines extend indefinitely in both directions while curved lines are not straight. Polygonal lines connect three or more points to form a path. A line segment has two end points and is part of a straight line. Parallel lines never intersect and maintain a constant distance apart, while secant lines intersect at one point.
This document provides information on calculating the perimeters and areas of various shapes, including triangles, squares, rectangles, parallelograms, trapezoids, circles, and compound shapes. It defines key properties of different shapes and formulas for calculating perimeters and areas. Examples are given for calculating perimeters and areas of different shapes, along with practice problems for the reader.
This document introduces prime and composite numbers. It explains that factors are numbers that are multiplied to form a product. Students are asked to find all factors of numbers from 2 to 20 and create rectangles using those factors. The document states that a number is prime if it only has two factors, 1 and itself, while a number is composite if it has more than two factors. Students are assigned homework problems related to factors and prime/composite numbers.
This document provides instructions and solutions for problems involving right triangles. It begins by asking the reader to identify right triangles from various figures and to name the components of a right triangle - the perpendicular sides and hypotenuse. It then presents four problems involving right triangles where the ratio of perpendicular sides is given as 3:4 and additional information is provided to determine the lengths of the sides. The solutions show setting up and solving equations using the Pythagorean theorem and properties of the triangles to find the side lengths of each triangle.
1. Cut strips of graph paper with positive integers from 1 to 10 written left to right and negative integers from -1 to -10 written right to left.
2. Paste the strips on either side of a line drawn on a sheet with the negative integers on the left and positive on the right meeting in the middle.
3. To add, move right along the number line and to subtract, move left, with examples given of adding 2 to 3 and subtracting 4 from 5.
This document provides instructions and examples for a math lesson on multiplication and area measurement. It includes examples of using square tiles to form rectangles with given side lengths or areas, drawing arrays, and writing multiplication equations to represent the relationships between side lengths and area. Students practice skip-counting, identifying common products, solving word problems involving area, and showing commutativity through area problems.
The document discusses calculating the boundary and area of different shapes. It provides examples of finding the boundary by adding the lengths of each side. For area, it explains counting the full and partial squares inside shapes, including irregular ones. For rectangles, a quicker method is given as multiplying the number of rows by the number of squares in each row.
The document contains a list of mathematical statements about numbers, patterns and relations, shape and space, and statistics and probability. Some key statements include: when you add three consecutive numbers, your answer is a multiple of three; when you divide a whole number by a fraction, the quotient is greater than the whole number; a whole number has an odd number of factors if it is a perfect square; if the sides of a right triangle are given, the third side can be calculated using the Pythagorean theorem; when you multiply two integers, the product is greater than either integer; if the price of an item is decreased by 25% and later increased by 25%, the final price will be the same as the original; the ratio
This document defines different types of lines used in geometry including straight lines, curved lines, polygonal lines, segments, parallel lines, and secant lines. Straight lines extend indefinitely in both directions while curved lines are not straight. Polygonal lines connect three or more points to form a path. A line segment has two end points and is part of a straight line. Parallel lines never intersect and maintain a constant distance apart, while secant lines intersect at one point.
This document provides information on calculating the perimeters and areas of various shapes, including triangles, squares, rectangles, parallelograms, trapezoids, circles, and compound shapes. It defines key properties of different shapes and formulas for calculating perimeters and areas. Examples are given for calculating perimeters and areas of different shapes, along with practice problems for the reader.
This document introduces prime and composite numbers. It explains that factors are numbers that are multiplied to form a product. Students are asked to find all factors of numbers from 2 to 20 and create rectangles using those factors. The document states that a number is prime if it only has two factors, 1 and itself, while a number is composite if it has more than two factors. Students are assigned homework problems related to factors and prime/composite numbers.
This document provides instruction on calculating the perimeter and area of various shapes. It begins by defining perimeter as the distance around the outside of a shape. It then works through examples of finding the perimeter of different shapes by counting and adding the lengths of each side. It introduces area as the amount of space inside a shape. It demonstrates how to calculate the area of rectangles by counting squares and using the formula of length x width. The document also covers calculating the area of irregular and composite shapes by breaking them into regular shapes. Worksheets are included for students to practice these concepts.
The document describes three types of geometric figures: a closed plane figure made of all straight sides, a three-dimensional figure that is not flat, and a two-dimensional figure that is flat.
More Free Resources to Help You Teach your Geometry Lesson on Measuring Segments can be found here:
https://geometrycoach.com/measuring-segments/
If you are looking for more great lesson ideas sign up for our FREEBIES at:
Pre Algebra: https://prealgebracoach.com/unit
Algebra 1: https://algebra1coach.com/unit
Geometry: https://geometrycoach.com/optin
Algebra 2 with Trigonometry: https://algebra2coach.com/unit
The document discusses the rail fence cipher technique for encryption and decryption of text. It explains that the rail fence cipher arranges the characters of a plaintext message in a diagonal pattern, alternating between moving down and up in rows. It also uses two counters, one starting at the beginning and looping once, and the other starting after the first and looping to the end, to encrypt the message by reading down the columns.
Megan provides explanations for several math problems from examples in the textbook. For problem 5-2 #2a, Megan explains that the diagram shows segment KH has a length of 10, so segment KD must also be 10 based on similar markings. For problem 5-3 #1a, Megan lists the steps to find the center of a circle circumscribing a triangle by finding the perpendicular bisectors of two sides and their point of intersection. For problem 5-3 #1b, Megan notes that finding a third perpendicular bisector is not necessary since the first two already intersect at the third side. For problem 5-3 #3, Megan shows that the total length can be broken into parts
Dimensions refer to the measures of spatial extent like length, height, and width. According to physics, there are 5 dimensions, while math recognizes 3 dimensions. The 0th dimension contains a single dot of information. The 1st dimension results from an infinite number of 0th dimension dots combined to form a line. The 2nd dimension, also called a plane, is formed from the combination of infinite 1st dimension lines. The 3rd dimension adds depth by combining planes to form three-dimensional cubes and figures. Einstein's theory proposed a 4th dimension beyond the typical 3 dimensions by adding a fourth side. The 5th dimension would combine all previous dimensions according to Einstein's theory.
The document discusses four main types of dimensioning systems: 1) Chain dimensioning where dimensions are placed directly adjacent without gaps, 2) Parallel dimensioning where dimensions are measured from a common feature and shown parallel, 3) Superimposed dimensioning which simplifies parallel dimensions by using a small circle to indicate the common origin, and 4) Combined dimensioning which is a combination of parallel and other dimensioning types where dimensions are arranged in a straight line.
More Free Resources to Help You Teach your Geometry Lesson on Midpoint and Distance in the Coordinate Plane can be found here:
*** https://geometrycoach.com/midpoint-and-distance-in-the-coordinate-plane/
If you are looking for more great lesson ideas sign up for our FREEBIES at:
Pre Algebra: https://prealgebracoach.com/unit
Algebra 1: https://algebra1coach.com/unit
Geometry: https://geometrycoach.com/optin
Algebra 2 with Trigonometry: https://algebra2coach.com/unit
This document contains a list of 21 math word problems involving equations with consecutive numbers, numbers, rectangles, angles, and ages. The problems cover finding unknown numbers, dimensions of rectangles given properties like perimeter and relationships between sides, and ages of people given relationships between their ages. The goal is to write equations and solve for the unknown values requested in each problem.
This document provides instruction on calculating the distance between points on the coordinate plane. It begins with an opening exercise asking students to calculate distances between towns located at road intersections. It then works through three examples of finding the length of line segments with endpoints on the x-axis, y-axis, and neither axis but along vertical or horizontal lines. Students are asked to identify the line, distances, locations, and do the calculation. Exercises have students find lengths of additional line segments, explaining how they can tell if each is vertical or horizontal. Real-world applications are discussed before an exit ticket is assigned.
The document discusses counting principles and examples of counting problems:
1) There are 12 possible outfits that can be made by combining 3 pairs of pants with 4 shirts.
2) The fundamental principle of counting states that if there are M ways to do the first thing and N ways to do the second, then there are M x N ways to do both.
3) Examples include counting possible phone numbers and combinations of letters to make words.
INTRODUCTION TO MICROSOFT EXCEL FOR BEGINEERBESOR ACADEMY
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Microsoft Excel is a spreadsheet application developed by Microsoft that allows users to store, manipulate, analyze, and visualize data in an easy-to-use grid format. Excel has basic spreadsheet functionality like formulas, functions, and charts that make it useful for teaching by providing visual representations of data to demonstrate relationships. The document provides examples of Excel formulas, functions, and tutorials demonstrating how to use Excel for tasks like plotting data, calculating grades and averages, and displaying salary information.
This mathematics lesson involves solving problems using the coordinate plane. Students are asked to find distances between points, identify vertices of rectangles, and calculate perimeters and areas of geometric shapes. They draw line segments connecting points and construct rectangles where the vertices fall in different quadrants and the perimeter equals a given value. Solving these problems requires using concepts like absolute value, properties of rectangles, and geometric formulas.
The document discusses different formulas for calculating the area of polygons like rectangles, parallelograms, triangles, and trapezoids. It explains that the area of a rectangle can be found by multiplying its length by its width. The area of a parallelogram is the same as the original rectangle since only the shape changed, not the area. For a trapezoid, the average of the two base lengths is multiplied by the height. For a triangle, the area formula is one half the base times the height since a triangle is half of a parallelogram.
This document discusses properties of parallel lines cut by a transversal. It defines key terms like parallel lines, transversal, corresponding angles, alternate interior angles, and alternate exterior angles. It then presents conjectures that corresponding angles, alternate interior angles, and alternate exterior angles are congruent when two parallel lines are cut by a transversal. Examples are given to illustrate these properties and how determining the measure of one angle allows calculating the measures of all other angles formed.
This slide was presented by the Maths Department of Cochin Refineries School for the Inter-School workshop conducted as a part of World Mathematics Day celebration. "Mathematics in day to day life"
This document discusses perimeter, area, and volume. It begins by defining perimeter as the distance around a shape found by adding all the side lengths. It provides examples of calculating perimeters of rectangles, irregular shapes, and converting between units. It then defines area as a measure of how much surface a shape covers. It gives formulas and examples for finding the areas of rectangles, triangles, parallelograms, trapezoids, and irregular shapes. Finally, it discusses surface area as the total area of all faces of a shape. It provides the surface area formulas and worked examples for cuboids and cubes.
This document appears to be an exam for a technical vocational education (TVE) class on garments. It contains multiple choice, fill-in-the-blank, and enumeration questions testing knowledge of key garment design and construction concepts. Specifically, it covers topics like body measurements, pattern drafting, design principles, fabric properties, and color theory. The exam aims to evaluate students' understanding of fundamental terminology and processes used in garment making.
This document is a sample paper for a mathematics exam consisting of 31 questions divided into 4 sections (A, B, C, D). Section A has 4 multiple choice questions worth 1 mark each. Section B has 6 questions worth 2 marks each. Section C has 10 questions worth 3 marks each. Section D has 11 questions worth 4 marks each. Calculators are not permitted. The paper tests a variety of math skills including probability, geometry, trigonometry, and algebra. It provides instructions for time, marks, and general guidelines for the exam.
This document provides instruction on calculating the perimeter and area of various shapes. It begins by defining perimeter as the distance around the outside of a shape. It then works through examples of finding the perimeter of different shapes by counting and adding the lengths of each side. It introduces area as the amount of space inside a shape. It demonstrates how to calculate the area of rectangles by counting squares and using the formula of length x width. The document also covers calculating the area of irregular and composite shapes by breaking them into regular shapes. Worksheets are included for students to practice these concepts.
The document describes three types of geometric figures: a closed plane figure made of all straight sides, a three-dimensional figure that is not flat, and a two-dimensional figure that is flat.
More Free Resources to Help You Teach your Geometry Lesson on Measuring Segments can be found here:
https://geometrycoach.com/measuring-segments/
If you are looking for more great lesson ideas sign up for our FREEBIES at:
Pre Algebra: https://prealgebracoach.com/unit
Algebra 1: https://algebra1coach.com/unit
Geometry: https://geometrycoach.com/optin
Algebra 2 with Trigonometry: https://algebra2coach.com/unit
The document discusses the rail fence cipher technique for encryption and decryption of text. It explains that the rail fence cipher arranges the characters of a plaintext message in a diagonal pattern, alternating between moving down and up in rows. It also uses two counters, one starting at the beginning and looping once, and the other starting after the first and looping to the end, to encrypt the message by reading down the columns.
Megan provides explanations for several math problems from examples in the textbook. For problem 5-2 #2a, Megan explains that the diagram shows segment KH has a length of 10, so segment KD must also be 10 based on similar markings. For problem 5-3 #1a, Megan lists the steps to find the center of a circle circumscribing a triangle by finding the perpendicular bisectors of two sides and their point of intersection. For problem 5-3 #1b, Megan notes that finding a third perpendicular bisector is not necessary since the first two already intersect at the third side. For problem 5-3 #3, Megan shows that the total length can be broken into parts
Dimensions refer to the measures of spatial extent like length, height, and width. According to physics, there are 5 dimensions, while math recognizes 3 dimensions. The 0th dimension contains a single dot of information. The 1st dimension results from an infinite number of 0th dimension dots combined to form a line. The 2nd dimension, also called a plane, is formed from the combination of infinite 1st dimension lines. The 3rd dimension adds depth by combining planes to form three-dimensional cubes and figures. Einstein's theory proposed a 4th dimension beyond the typical 3 dimensions by adding a fourth side. The 5th dimension would combine all previous dimensions according to Einstein's theory.
The document discusses four main types of dimensioning systems: 1) Chain dimensioning where dimensions are placed directly adjacent without gaps, 2) Parallel dimensioning where dimensions are measured from a common feature and shown parallel, 3) Superimposed dimensioning which simplifies parallel dimensions by using a small circle to indicate the common origin, and 4) Combined dimensioning which is a combination of parallel and other dimensioning types where dimensions are arranged in a straight line.
More Free Resources to Help You Teach your Geometry Lesson on Midpoint and Distance in the Coordinate Plane can be found here:
*** https://geometrycoach.com/midpoint-and-distance-in-the-coordinate-plane/
If you are looking for more great lesson ideas sign up for our FREEBIES at:
Pre Algebra: https://prealgebracoach.com/unit
Algebra 1: https://algebra1coach.com/unit
Geometry: https://geometrycoach.com/optin
Algebra 2 with Trigonometry: https://algebra2coach.com/unit
This document contains a list of 21 math word problems involving equations with consecutive numbers, numbers, rectangles, angles, and ages. The problems cover finding unknown numbers, dimensions of rectangles given properties like perimeter and relationships between sides, and ages of people given relationships between their ages. The goal is to write equations and solve for the unknown values requested in each problem.
This document provides instruction on calculating the distance between points on the coordinate plane. It begins with an opening exercise asking students to calculate distances between towns located at road intersections. It then works through three examples of finding the length of line segments with endpoints on the x-axis, y-axis, and neither axis but along vertical or horizontal lines. Students are asked to identify the line, distances, locations, and do the calculation. Exercises have students find lengths of additional line segments, explaining how they can tell if each is vertical or horizontal. Real-world applications are discussed before an exit ticket is assigned.
The document discusses counting principles and examples of counting problems:
1) There are 12 possible outfits that can be made by combining 3 pairs of pants with 4 shirts.
2) The fundamental principle of counting states that if there are M ways to do the first thing and N ways to do the second, then there are M x N ways to do both.
3) Examples include counting possible phone numbers and combinations of letters to make words.
INTRODUCTION TO MICROSOFT EXCEL FOR BEGINEERBESOR ACADEMY
ย
Microsoft Excel is a spreadsheet application developed by Microsoft that allows users to store, manipulate, analyze, and visualize data in an easy-to-use grid format. Excel has basic spreadsheet functionality like formulas, functions, and charts that make it useful for teaching by providing visual representations of data to demonstrate relationships. The document provides examples of Excel formulas, functions, and tutorials demonstrating how to use Excel for tasks like plotting data, calculating grades and averages, and displaying salary information.
This mathematics lesson involves solving problems using the coordinate plane. Students are asked to find distances between points, identify vertices of rectangles, and calculate perimeters and areas of geometric shapes. They draw line segments connecting points and construct rectangles where the vertices fall in different quadrants and the perimeter equals a given value. Solving these problems requires using concepts like absolute value, properties of rectangles, and geometric formulas.
The document discusses different formulas for calculating the area of polygons like rectangles, parallelograms, triangles, and trapezoids. It explains that the area of a rectangle can be found by multiplying its length by its width. The area of a parallelogram is the same as the original rectangle since only the shape changed, not the area. For a trapezoid, the average of the two base lengths is multiplied by the height. For a triangle, the area formula is one half the base times the height since a triangle is half of a parallelogram.
This document discusses properties of parallel lines cut by a transversal. It defines key terms like parallel lines, transversal, corresponding angles, alternate interior angles, and alternate exterior angles. It then presents conjectures that corresponding angles, alternate interior angles, and alternate exterior angles are congruent when two parallel lines are cut by a transversal. Examples are given to illustrate these properties and how determining the measure of one angle allows calculating the measures of all other angles formed.
This slide was presented by the Maths Department of Cochin Refineries School for the Inter-School workshop conducted as a part of World Mathematics Day celebration. "Mathematics in day to day life"
This document discusses perimeter, area, and volume. It begins by defining perimeter as the distance around a shape found by adding all the side lengths. It provides examples of calculating perimeters of rectangles, irregular shapes, and converting between units. It then defines area as a measure of how much surface a shape covers. It gives formulas and examples for finding the areas of rectangles, triangles, parallelograms, trapezoids, and irregular shapes. Finally, it discusses surface area as the total area of all faces of a shape. It provides the surface area formulas and worked examples for cuboids and cubes.
This document appears to be an exam for a technical vocational education (TVE) class on garments. It contains multiple choice, fill-in-the-blank, and enumeration questions testing knowledge of key garment design and construction concepts. Specifically, it covers topics like body measurements, pattern drafting, design principles, fabric properties, and color theory. The exam aims to evaluate students' understanding of fundamental terminology and processes used in garment making.
This document is a sample paper for a mathematics exam consisting of 31 questions divided into 4 sections (A, B, C, D). Section A has 4 multiple choice questions worth 1 mark each. Section B has 6 questions worth 2 marks each. Section C has 10 questions worth 3 marks each. Section D has 11 questions worth 4 marks each. Calculators are not permitted. The paper tests a variety of math skills including probability, geometry, trigonometry, and algebra. It provides instructions for time, marks, and general guidelines for the exam.
This document appears to be a mathematics exam for a 9th grade class covering topics on geometry including properties of parallelograms, triangles, trapezoids, kites, and proportions. It consists of two parts - a true/false section and a multiple choice section containing 35 questions testing students' understanding of shapes, ratios, proportions, perimeter, area, and other geometric concepts. The exam is assessing students' mastery of key ideas in the 9th grade mathematics curriculum through practical application questions.
Class 7 Cbse Maths Sample Paper Term 2 Model 1Sunaina Rawat
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This document contains a sample test paper for mathematics for class 7. It has 21 questions ranging from 1 to 3 marks each. The test covers topics like percentages, geometry (lines, angles, triangles, quadrilaterals), ratios, symmetry, and profit/loss. It provides general instructions like the total marks, time duration, number of pages and that all questions are compulsory. The questions test various concepts involving calculations, constructions, identifications and proofs related to the mathematics syllabus for class 7.
This document provides instructions for estimating square roots through visual representations and diagrams. It includes activities where students arrange square tiles into larger squares to estimate the square root. Students are asked to estimate the square root of various numbers by drawing the largest possible square from that number of squares and seeing how many are left over. The activities aim to build an understanding of what a square root is and how to approximate it through visualization and trial and error. Later questions assess understanding by having students calculate exact square roots with a calculator and explain differences from their estimates.
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.
This document provides information about triangles, squares, and trigonometry. It begins by defining different types of triangles, including isosceles, equilateral, and scalene triangles. It then discusses squares and using the area formula. The document introduces Pythagoras' theorem and provides examples of using it to find missing side lengths in right triangles. It also covers sine, cosine, and tangent ratios. Exercises provide practice applying concepts like finding missing lengths, areas, and using trigonometric functions in right triangles.
(i) The document provides instructions for a question paper containing 30 questions divided into 4 sections - A, B, C and D. Section A contains 6 one-mark questions, Section B contains 6 two-mark questions, Section C contains 10 three-mark questions, and Section D contains 8 four-mark questions.
(ii) No overall choice is available between questions, but some questions provide an internal choice between alternatives that must be answered. Calculators are not permitted.
(iii) The document provides sample questions from each section to illustrate the format of the question paper.
This document contains math problems and diagrams related to calculating perimeters and areas of two-dimensional and three-dimensional shapes. It is divided into three sections on two-dimensional shapes, covering finding perimeters and areas of composite shapes made of quadrilaterals and triangles, as well as word problems applying these concepts. The next two sections cover similar learning outcomes for three-dimensional shapes, including surface areas, volumes, and word problems. The document provides the context for 38 total math problems assessing students on these geometric concepts.
This document contains a math exam for class 9 with 34 questions ranging from 1 to 4 marks each. It provides instructions for the exam, lists the questions with answer options for multiple choice questions and space for working for multi-step problems. The questions cover a variety of math topics including geometry, algebra, statistics, and trigonometry. An objective is also provided wishing students good luck on the exam.
This document provides information about Pythagoras' theorem and examples of its application. It begins by defining Pythagoras' theorem as relating the lengths of the sides of a right-angled triangle, with the hypotenuse being the longest side. It then gives an example of using squares drawn on the sides of a triangle to demonstrate the theorem. The document continues with several examples of using the theorem to calculate unknown side lengths of right-angled triangles in various contexts like navigation problems. It also explains how to set up and solve word problems involving right-angled triangles using Pythagoras' theorem.
Class 10 Cbse Maths Sample Paper Term 2 Model 1Sunaina Rawat
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This document is a sample test paper for mathematics for Class 10. It consists of 33 total questions divided into 4 sections - Section A has 8 one-mark questions, Section B has 9 two-mark questions, Section C has 10 three-mark questions, and Section D has 6 four-mark questions. The test covers a range of mathematics topics including trigonometry, geometry, probability, and series. Students have 3 hours to complete the paper.
This document contains a number of geometry problems involving calculating areas of different shapes using formulas like Heron's formula. The problems include finding the area of triangular signs, triangular walls used for advertisements, a triangular slide, and other shapes like triangles, parallelograms, quadrilateral, rhombus, kites, and trapezoids. The document provides the side lengths and other measurements of each shape, and asks the reader to calculate the resulting areas using the appropriate formulas. It is a worksheet intended to help students practice applying formulas to find areas of different plane geometric shapes.
The document discusses the area and volume of cones. It defines key terms like cone, radius, height, slant height and explains the formulas to calculate the surface area and volume of a cone. The surface area of a cone is calculated as ฯr(s+r) where r is the radius and s is the slant height. The volume of a cone is calculated as 1/3ฯr^2h, where r is the radius and h is the height. Several examples are provided to demonstrate calculating the surface area and volume of cones using the given radii and heights.
- The document is a mathematics summative assessment for class 9 with 34 total questions across 4 sections (A-D).
- Section A contains 8 multiple choice questions. Section B has 6 short answer questions. Section C includes 10 questions requiring explanation or proof. Section D poses 10 word problems/applications.
- The test covers topics like linear equations, geometry (shapes, areas, volumes), statistics (mean, median, mode), and percent applications. It assesses students' mathematical understanding across various domains.
The document provides instructions for a mathematics exam consisting of 4 sections (A, B, C, D) and 30 total questions. Section A has 6 one-mark questions. Section B has 6 two-mark questions. Section C has 10 three-mark questions. Section D has 8 four-mark questions. Some questions provide an internal choice between parts. Calculators are not permitted. The exam is 180 minutes long and carries a maximum of 80 marks.
This PPT consists of XAT 2020 Quant Section.
Useful for all MBA Aspirants to get the actual feel of difficulty level of XAT exam. Those who are willing to score high in national level MBA entrance exams are recommended to to these questions before they take actual CAT exam. Most of the Mocks which are available in the market are nowhere relevant to actual XAT so every XAT aspirant must take a glimpse of real CAT questions for the real XAT flavour.
mathematics-question-bank-for-summative-assesmentAPEX INSTITUTE
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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.
Similar to Class 6 Cbse Maths Sample Paper Term 2 Model 2 (20)
The ICSE Class 2 syllabus includes chapters on poems, grammar, and mathematics. For English, students will study 16 poems and learn about parts of speech like nouns, verbs, adjectives and pronouns as well as punctuation, opposites, and tenses. The mathematics syllabus covers 16 topics including 2-digit and 3-digit numbers, addition, subtraction, multiplication, division, geometry, fractions, and measurement of length, weight, and capacity.
The document outlines the syllabus for ICSE Class 1, covering Environmental Studies (EVS), Computer Applications, and French. The EVS syllabus includes 18 chapters on topics like the self, family, community, plants, animals, food, and the environment. The Computer Applications syllabus introduces students to computers and their basic parts through 8 chapters. The 11 chapter French syllabus teaches students about France, its culture, and introduces basic vocabulary around self, family, school, colors, and days of the week.
The document outlines the syllabus for various subjects in ICSE Class 1, including Mathematics, English, EVS, and Computer Applications. For Mathematics, topics range from pre-number concepts to addition, subtraction, measurement, money, and multiplication. English topics cover stories, poems, rhymes. EVS focuses on the child, family, school, neighborhood, environment. Computer Applications introduces basic computer parts and functions like the keyboard, mouse, and Paint software.
The document outlines the syllabus for various subjects in ICSE Class 1 including English, EVS, Computer Applications, and French. The English syllabus includes 10 chapters on topics like stories, poems, and rhymes. The EVS syllabus has 18 chapters covering topics about the self, family, community, environment and safety. The Computer Applications syllabus includes 8 chapters introducing students to basic computer parts and functions. The French syllabus has 11 chapters focusing on introducing students to French culture, language, numbers and school.
Class 1 CBSE EVS Sample Paper Term 2 Model 2Sunaina Rawat
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This document provides a sample paper for an Environmental Studies exam with questions in three sections. Section A contains 10 one-mark multiple choice questions about national festivals, plants, animals, and seasons. Section B has 10 two-mark questions requiring short answers about holidays, occupations, the sun, and animals. Section C consists of 5 three-mark questions requiring longer answers about things that fly, water sources and uses, and plant-eating animals. The last question is worth 5 marks and asks how plants help humans.
The CBSE Class 1 Math syllabus for 2012-13 outlines 13 lessons covering topics such as shapes, numbers, addition, subtraction, time, measurement, data handling, patterns, and money taught over 10 months from April to March. Lessons include numbers from 1 to 100, addition, subtraction, time, measurement, data handling, patterns, and money.
This document provides an overview of wound healing, its functions, stages, mechanisms, factors affecting it, and complications.
A wound is a break in the integrity of the skin or tissues, which may be associated with disruption of the structure and function.
Healing is the bodyโs response to injury in an attempt to restore normal structure and functions.
Healing can occur in two ways: Regeneration and Repair
There are 4 phases of wound healing: hemostasis, inflammation, proliferation, and remodeling. This document also describes the mechanism of wound healing. Factors that affect healing include infection, uncontrolled diabetes, poor nutrition, age, anemia, the presence of foreign bodies, etc.
Complications of wound healing like infection, hyperpigmentation of scar, contractures, and keloid formation.
A Free 200-Page eBook ~ Brain and Mind Exercise.pptxOH TEIK BIN
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(A Free eBook comprising 3 Sets of Presentation of a selection of Puzzles, Brain Teasers and Thinking Problems to exercise both the mind and the Right and Left Brain. To help keep the mind and brain fit and healthy. Good for both the young and old alike.
Answers are given for all the puzzles and problems.)
With Metta,
Bro. Oh Teik Bin ๐๐ค๐ค๐ฅฐ
This presentation was provided by Racquel Jemison, Ph.D., Christina MacLaughlin, Ph.D., and Paulomi Majumder. Ph.D., all of the American Chemical Society, for the second session of NISO's 2024 Training Series "DEIA in the Scholarly Landscape." Session Two: 'Expanding Pathways to Publishing Careers,' was held June 13, 2024.
Leveraging Generative AI to Drive Nonprofit InnovationTechSoup
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In this webinar, participants learned how to utilize Generative AI to streamline operations and elevate member engagement. Amazon Web Service experts provided a customer specific use cases and dived into low/no-code tools that are quick and easy to deploy through Amazon Web Service (AWS.)
Andreas Schleicher presents PISA 2022 Volume III - Creative Thinking - 18 Jun...EduSkills OECD
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Andreas Schleicher, Director of Education and Skills at the OECD presents at the launch of PISA 2022 Volume III - Creative Minds, Creative Schools on 18 June 2024.
How Barcodes Can Be Leveraged Within Odoo 17Celine George
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In this presentation, we will explore how barcodes can be leveraged within Odoo 17 to streamline our manufacturing processes. We will cover the configuration steps, how to utilize barcodes in different manufacturing scenarios, and the overall benefits of implementing this technology.
This presentation was provided by Rebecca Benner, Ph.D., of the American Society of Anesthesiologists, for the second session of NISO's 2024 Training Series "DEIA in the Scholarly Landscape." Session Two: 'Expanding Pathways to Publishing Careers,' was held June 13, 2024.
Elevate Your Nonprofit's Online Presence_ A Guide to Effective SEO Strategies...TechSoup
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Whether you're new to SEO or looking to refine your existing strategies, this webinar will provide you with actionable insights and practical tips to elevate your nonprofit's online presence.
Elevate Your Nonprofit's Online Presence_ A Guide to Effective SEO Strategies...
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Class 6 Cbse Maths Sample Paper Term 2 Model 2
1. MATHEMATICS
SAMPLE TEST PAPER (SEMSTER II)
CLASS VI
Class:6 Max Mks:45
Time :2hrs No of pages: 3
General Instructions:
ร All questions are compulsory.
ร Questions 1to 4 carry 1mark each.
ร Questions 5to 7 carry 2mark each.
ร Questions 8 to 12 carry 3mark each.
ร Questions 13 to17 carry 4 mark each.
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1. Two numbers are in the ratio 4:5, if there sum is 270, find the numbers.
2. Draw a closed curve which is not a polygon
3. Draw the other half of the figure to make them symmetrical along the line l.
4. Find the side of the square with side 30cm.
5. For the given Quadrilateral ABCD find the vertcices ,sides, opposite sides, angle adjacent to A
and B.
2. 6. Measure the line segment using a ruler and a divider.
7. Draw a circle of radius 3cm. Draw any two chords and construct their perpendicular bisector, at
what point do the two bisector meet.
8. At what point does the hour hand of clock stop if it starts at 12 and makes1/4 revolution
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clockwise.
9. Difference between a parallelogram and rhombus
10. Draw a line of symmetry of figure
11. The length and breadth of a ground are 30m and 20m respectively . Find the cost of leveling the
ground at a rate of 2 per sq cm
12. Find the perimeter of the below figure
13. Measure all the sides of the following triangle and verify that โ the sum of any two sides of a
triangle is greater than the third sides ''
3. 14. Construct aline segment of 7.2 cm from this cut off a segment of length 3.9 cm from one end ,
measure the length of remaining segment
15. Pooja wants to draw an equilateral triangle whose perimeter is equal to 45cm.What would be
the measure of equal side of triangle
16. Bhola and Raju want to buy one field each with dimension 50m by 40m and 100m by 30m,
respectively . Who will pay more ?
17. Read the given bar graph.
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a) what information does the bar graph convey ?
b) What is the scale of this graph?
c) How many more apples were grown on T7 than on T1
d) How many fewer apples were grown on T1 than T6