The document summarizes information about a math contest called the Kangaroo math contest. It provides details about the structure of the contest, including that it contains 24 multiple-choice questions to be completed in 60 minutes. The questions are divided into three parts - Part A having 8 easy questions worth 3 points each, Part B having 8 medium questions worth 4 points each, and Part C having 8 hard questions worth 5 points each. It provides strategies for taking the test, such as skipping questions if stuck and not guessing to avoid point penalties for incorrect answers. Sample questions and explanations of answers are also provided.
This document contains a 30 question math test for grades 5-6. The test covers various math topics including addition, geometry, time, probability, and number properties. Each question is multiple choice with 3 to 5 possible answer choices. The test has 3 parts with varying point values assigned to each question based on difficulty.
This document contains a 24 question math test for grades 3-4. The test covers topics like number comparisons, calculations, geometry, logic puzzles, and word problems involving numbers. It is divided into three parts with increasing point values for correct answers in each part. The questions require examining diagrams, choosing the right answer from options, and setting up and solving mathematical equations.
The document is a math test containing 27 multiple choice and short answer questions. It provides instructions that calculators are not allowed, formulas that may be needed are provided, and to show all work. The test covers topics like ratios, expressions, probability, geometry, statistics, and algebra. It is one hour long and pupils are encouraged to attempt all questions.
The document is a 15-page mathematics exam for Primary 5 students in Methodist Girls' School consisting of multiple choice and written response questions testing concepts like fractions, ratios, percentages, geometry, word problems, and more. It includes instructions to candidates, questions ranging from 1 to 5 marks, and spaces to show working and write answers. The exam covers topics commonly found in Primary 5 mathematics curricula.
1. The document is a test for the Mathematical Kangaroo competition in Austria for students in grades 3-4. It contains 24 multiple choice questions worth various points. Correct answers to early questions are worth 3 points each, while later questions increase to 4 and 5 points. Incorrect answers deduct a fraction of the question's point value.
2. Questions cover topics like geometry, number patterns, word problems, and logic puzzles. For example, one asks how many triangles are in a picture, another asks how many oranges can be bought in certain sized bags to reach a total of 48 oranges.
3. Answers are to be written in letter form under the corresponding question number. The test is timed for 60
This document contains a series of logic and reasoning puzzles with the answers provided. Some examples include:
1) The name of the fifth son would be Fifty.
2) After taking away 2 apples from the original 3 apples, you would have 1 apple remaining.
3) Dividing 30 by 1/2 and then adding 10 would give the answer of 60.
4) The number that does not belong in the series 1,1,2,3,4,5,8,13,21 is 5 because it is not the result of adding the previous two numbers.
This document contains a 24 question mathematics assessment for students in grades 3-4. It includes word problems involving arithmetic, geometry, logic puzzles, and other basic math skills. The questions range from 1 to 5 points in difficulty. The test assesses abilities such as number sense, algebraic thinking, measurement, and logic.
This document contains a 30 question math test for grades 5-6. The test covers various math topics including addition, geometry, time, probability, and number properties. Each question is multiple choice with 3 to 5 possible answer choices. The test has 3 parts with varying point values assigned to each question based on difficulty.
This document contains a 24 question math test for grades 3-4. The test covers topics like number comparisons, calculations, geometry, logic puzzles, and word problems involving numbers. It is divided into three parts with increasing point values for correct answers in each part. The questions require examining diagrams, choosing the right answer from options, and setting up and solving mathematical equations.
The document is a math test containing 27 multiple choice and short answer questions. It provides instructions that calculators are not allowed, formulas that may be needed are provided, and to show all work. The test covers topics like ratios, expressions, probability, geometry, statistics, and algebra. It is one hour long and pupils are encouraged to attempt all questions.
The document is a 15-page mathematics exam for Primary 5 students in Methodist Girls' School consisting of multiple choice and written response questions testing concepts like fractions, ratios, percentages, geometry, word problems, and more. It includes instructions to candidates, questions ranging from 1 to 5 marks, and spaces to show working and write answers. The exam covers topics commonly found in Primary 5 mathematics curricula.
1. The document is a test for the Mathematical Kangaroo competition in Austria for students in grades 3-4. It contains 24 multiple choice questions worth various points. Correct answers to early questions are worth 3 points each, while later questions increase to 4 and 5 points. Incorrect answers deduct a fraction of the question's point value.
2. Questions cover topics like geometry, number patterns, word problems, and logic puzzles. For example, one asks how many triangles are in a picture, another asks how many oranges can be bought in certain sized bags to reach a total of 48 oranges.
3. Answers are to be written in letter form under the corresponding question number. The test is timed for 60
This document contains a series of logic and reasoning puzzles with the answers provided. Some examples include:
1) The name of the fifth son would be Fifty.
2) After taking away 2 apples from the original 3 apples, you would have 1 apple remaining.
3) Dividing 30 by 1/2 and then adding 10 would give the answer of 60.
4) The number that does not belong in the series 1,1,2,3,4,5,8,13,21 is 5 because it is not the result of adding the previous two numbers.
This document contains a 24 question mathematics assessment for students in grades 3-4. It includes word problems involving arithmetic, geometry, logic puzzles, and other basic math skills. The questions range from 1 to 5 points in difficulty. The test assesses abilities such as number sense, algebraic thinking, measurement, and logic.
1. The document provides instructions and rules for a mathematics challenge competition involving 25 multiple choice questions.
2. The questions cover a range of mathematical topics including number theory, geometry, probability, and algebra.
3. Competitors have 90 minutes to answer as many questions as possible, with scoring based on correct answers and penalties for incorrect answers.
The document provides word problems and questions related to third grade algebra and data for students to solve. It includes questions about patterns, formulas, charts, tables, graphs, and analyzing data. There are also questions about perimeter, area, multiplication, division, and interpreting graphs and tables.
The document provides word problems and questions about math patterns, formulas, data analysis, and missing numbers. It asks students to identify patterns, determine missing numbers in sequences, solve word problems using math operations, interpret data in tables, charts and graphs, and explain their reasoning. The final section contains questions about interpreting various graphs and requires making predictions and comparisons of data values.
The document provides instructions for the Math Kangaroo contest for grades 3-4 in Canada in 2017. It explains that students have 60 minutes to answer 24 multiple choice problems worth varying points depending on the question number. They are not allowed to use calculators or graph paper. The problems cover topics like number sense, geometry, and problem solving. It also lists the locations across Canada where the contest will take place and organizations supporting the event.
This document is a practice test for a Grade 6 mathematics assessment. It contains 24 multiple choice questions about math concepts like geometry, measurement, numbers and operations, statistics and probability. The test is introduced with directions that explain students should choose the best answer for each question and may use scratch paper to solve problems. A reference sheet with formulas for shapes, conversions, and other information is provided for use during the test.
This document contains 20 math problem solving questions from a GRE exam with multiple choice answers. The questions cover a range of topics including ratios, percentages, geometry, time, speed, and number properties. An answer key is provided at the end of the document with the correct answer choice for each question.
The document is a past paper for the CAT exam from 2002 that contains 33 multiple choice questions. It provides the stems of math and logic problems, but does not show the full questions or provide the answers. The summary focuses on describing the overall format and content at a high level in 3 sentences:
The document contains a past exam paper for the CAT from 2002, which includes 33 multiple choice questions testing math and logic skills. The questions are presented as stems that provide relevant information but do not show the full questions or answers. A variety of math topics are covered, including ratios, percentages, word problems, geometry, sequences, and other quantitative reasoning concepts.
Mathematics high school level quiz - Part IITfC-Edu-Team
The document outlines the format and questions for a mathematics quiz with multiple rounds. It begins with a two-part quiz where groups are given problem cards to solve. The subsequent rounds include warm-up questions testing concepts like geometry, averages, and number puzzles, as well as "real math" and logic rounds. Later rounds involve problem-solving, model-making to demonstrate algebraic identities, and a final written work discussion period.
The document contains a series of math word problems and questions. It tests ordering numbers from least to greatest, finding averages, converting between percentages and decimals, solving multi-step word problems, identifying geometric shapes and properties, and determining logical sequences and patterns. The questions cover a wide range of elementary and middle school math concepts.
This document contains 20 multiple choice questions from a math and logic test for students aged 3-4. The questions cover a range of topics including patterns, arithmetic, geometry, time, and more. For each question solved correctly, the student receives 3 points.
The document is a math test with 16 multiple choice questions covering various math topics such as word problems involving ages, factorials, logarithms, geometry, and other concepts. It tests skills like setting up and solving equations, recognizing patterns in numbers, using properties of shapes, and logical reasoning. The questions range in difficulty from straightforward calculations to multi-step problems requiring conceptual understanding.
This document is an excerpt from the 2007 International Kangaroo Mathematics Contest for students in grades 3 and 4. It consists of 20 multiple choice questions testing various math skills, including number sequences, operations, geometry, time, and more. Students have 1 hour and 15 minutes to complete as many questions as possible, earning 3 points for each correct answer. The questions cover a range of elementary math topics and difficulty levels.
This document provides a sample chapter on arithmetical reasoning from a book titled "Compete for Excellence". It contains 20 multiple choice questions related to math and logical reasoning, along with explanations for some answers. The questions cover topics like ages, rates, ratios, percentages, time, distance, money and number operations. The document aims to help readers improve their skills at solving arithmetic and logic problems.
This PPT consists of XAT 2018 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.
The document contains 51 math and probability questions from the GMAT exam. The questions cover a range of topics including arithmetic, algebra, geometry, percentages, and counting/probability. For each question, multiple choice options for the answer are provided.
The document provides information about the quantitative section of the Graduate Management Admission Test (GMAT). It details that the section contains 37 questions to be completed in 75 minutes, including both problem solving and data sufficiency questions. Problem solving questions require solving the problem and choosing the best answer, while data sufficiency questions involve determining whether one, both, or neither of the given statement(s) are sufficient to answer the question. The document provides examples of several questions and explains the relevant terms and concepts.
This document contains 62 aptitude questions and their answers. The questions cover a range of topics including percentages, ratios, time/work problems, probability, and data interpretation. The questions vary in difficulty from basic arithmetic to multi-step word problems. The goal of the questions is to assess logical thinking and problem solving abilities.
Alhikmah preparation for checkpoint math paper 2Wina Winarni
This document contains 20 math problems for a checkpoint exam covering various topics:
1) Matching shapes to their names
2) Rounding a number to the nearest thousand
3) Identifying equivalent expressions
4) Finding the lowest recorded temperature from a data table
5) Calculating probability using numbers of different colored socks
6) Calculating percentages and ratios to solve problems about test scores
7) Identifying reflections and rotations of shapes
8) Calculating gradients, drawing graphs from tables of values, and solving simultaneous equations graphically
9) Adding brackets to make an expression true
10) Identifying the calculation with the largest answer
11) Interpreting data from bar graphs and determining which class performed
Alhikmah preparation for checkpoint math paper 2Wina Winarni
This document contains 20 math problems for a checkpoint exam covering various topics:
1) Matching shapes to their names
2) Rounding a number to the nearest thousand
3) Identifying equivalent expressions
4) Finding the lowest recorded temperature from a data table
5) Calculating probability using numbers of different colored socks
6) Calculating percentages to determine number of correct test answers
7) Identifying reflections and rotations of shapes
8) Calculating gradient, drawing a line graph, and solving simultaneous equations from graphs
9) Adding brackets to make an expression true
10) Identifying the calculation with the largest answer
11) Determining which class performed better on a test based on range of scores
1. The document provides instructions and rules for a mathematics challenge competition involving 25 multiple choice questions.
2. The questions cover a range of mathematical topics including number theory, geometry, probability, and algebra.
3. Competitors have 90 minutes to answer as many questions as possible, with scoring based on correct answers and penalties for incorrect answers.
The document provides word problems and questions related to third grade algebra and data for students to solve. It includes questions about patterns, formulas, charts, tables, graphs, and analyzing data. There are also questions about perimeter, area, multiplication, division, and interpreting graphs and tables.
The document provides word problems and questions about math patterns, formulas, data analysis, and missing numbers. It asks students to identify patterns, determine missing numbers in sequences, solve word problems using math operations, interpret data in tables, charts and graphs, and explain their reasoning. The final section contains questions about interpreting various graphs and requires making predictions and comparisons of data values.
The document provides instructions for the Math Kangaroo contest for grades 3-4 in Canada in 2017. It explains that students have 60 minutes to answer 24 multiple choice problems worth varying points depending on the question number. They are not allowed to use calculators or graph paper. The problems cover topics like number sense, geometry, and problem solving. It also lists the locations across Canada where the contest will take place and organizations supporting the event.
This document is a practice test for a Grade 6 mathematics assessment. It contains 24 multiple choice questions about math concepts like geometry, measurement, numbers and operations, statistics and probability. The test is introduced with directions that explain students should choose the best answer for each question and may use scratch paper to solve problems. A reference sheet with formulas for shapes, conversions, and other information is provided for use during the test.
This document contains 20 math problem solving questions from a GRE exam with multiple choice answers. The questions cover a range of topics including ratios, percentages, geometry, time, speed, and number properties. An answer key is provided at the end of the document with the correct answer choice for each question.
The document is a past paper for the CAT exam from 2002 that contains 33 multiple choice questions. It provides the stems of math and logic problems, but does not show the full questions or provide the answers. The summary focuses on describing the overall format and content at a high level in 3 sentences:
The document contains a past exam paper for the CAT from 2002, which includes 33 multiple choice questions testing math and logic skills. The questions are presented as stems that provide relevant information but do not show the full questions or answers. A variety of math topics are covered, including ratios, percentages, word problems, geometry, sequences, and other quantitative reasoning concepts.
Mathematics high school level quiz - Part IITfC-Edu-Team
The document outlines the format and questions for a mathematics quiz with multiple rounds. It begins with a two-part quiz where groups are given problem cards to solve. The subsequent rounds include warm-up questions testing concepts like geometry, averages, and number puzzles, as well as "real math" and logic rounds. Later rounds involve problem-solving, model-making to demonstrate algebraic identities, and a final written work discussion period.
The document contains a series of math word problems and questions. It tests ordering numbers from least to greatest, finding averages, converting between percentages and decimals, solving multi-step word problems, identifying geometric shapes and properties, and determining logical sequences and patterns. The questions cover a wide range of elementary and middle school math concepts.
This document contains 20 multiple choice questions from a math and logic test for students aged 3-4. The questions cover a range of topics including patterns, arithmetic, geometry, time, and more. For each question solved correctly, the student receives 3 points.
The document is a math test with 16 multiple choice questions covering various math topics such as word problems involving ages, factorials, logarithms, geometry, and other concepts. It tests skills like setting up and solving equations, recognizing patterns in numbers, using properties of shapes, and logical reasoning. The questions range in difficulty from straightforward calculations to multi-step problems requiring conceptual understanding.
This document is an excerpt from the 2007 International Kangaroo Mathematics Contest for students in grades 3 and 4. It consists of 20 multiple choice questions testing various math skills, including number sequences, operations, geometry, time, and more. Students have 1 hour and 15 minutes to complete as many questions as possible, earning 3 points for each correct answer. The questions cover a range of elementary math topics and difficulty levels.
This document provides a sample chapter on arithmetical reasoning from a book titled "Compete for Excellence". It contains 20 multiple choice questions related to math and logical reasoning, along with explanations for some answers. The questions cover topics like ages, rates, ratios, percentages, time, distance, money and number operations. The document aims to help readers improve their skills at solving arithmetic and logic problems.
This PPT consists of XAT 2018 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.
The document contains 51 math and probability questions from the GMAT exam. The questions cover a range of topics including arithmetic, algebra, geometry, percentages, and counting/probability. For each question, multiple choice options for the answer are provided.
The document provides information about the quantitative section of the Graduate Management Admission Test (GMAT). It details that the section contains 37 questions to be completed in 75 minutes, including both problem solving and data sufficiency questions. Problem solving questions require solving the problem and choosing the best answer, while data sufficiency questions involve determining whether one, both, or neither of the given statement(s) are sufficient to answer the question. The document provides examples of several questions and explains the relevant terms and concepts.
This document contains 62 aptitude questions and their answers. The questions cover a range of topics including percentages, ratios, time/work problems, probability, and data interpretation. The questions vary in difficulty from basic arithmetic to multi-step word problems. The goal of the questions is to assess logical thinking and problem solving abilities.
Alhikmah preparation for checkpoint math paper 2Wina Winarni
This document contains 20 math problems for a checkpoint exam covering various topics:
1) Matching shapes to their names
2) Rounding a number to the nearest thousand
3) Identifying equivalent expressions
4) Finding the lowest recorded temperature from a data table
5) Calculating probability using numbers of different colored socks
6) Calculating percentages and ratios to solve problems about test scores
7) Identifying reflections and rotations of shapes
8) Calculating gradients, drawing graphs from tables of values, and solving simultaneous equations graphically
9) Adding brackets to make an expression true
10) Identifying the calculation with the largest answer
11) Interpreting data from bar graphs and determining which class performed
Alhikmah preparation for checkpoint math paper 2Wina Winarni
This document contains 20 math problems for a checkpoint exam covering various topics:
1) Matching shapes to their names
2) Rounding a number to the nearest thousand
3) Identifying equivalent expressions
4) Finding the lowest recorded temperature from a data table
5) Calculating probability using numbers of different colored socks
6) Calculating percentages to determine number of correct test answers
7) Identifying reflections and rotations of shapes
8) Calculating gradient, drawing a line graph, and solving simultaneous equations from graphs
9) Adding brackets to make an expression true
10) Identifying the calculation with the largest answer
11) Determining which class performed better on a test based on range of scores
How to Build a Module in Odoo 17 Using the Scaffold MethodCeline George
Odoo provides an option for creating a module by using a single line command. By using this command the user can make a whole structure of a module. It is very easy for a beginner to make a module. There is no need to make each file manually. This slide will show how to create a module using the scaffold method.
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This slide is special for master students (MIBS & MIFB) in UUM. Also useful for readers who are interested in the topic of contemporary Islamic banking.
Main Java[All of the Base Concepts}.docxadhitya5119
This is part 1 of my Java Learning Journey. This Contains Custom methods, classes, constructors, packages, multithreading , try- catch block, finally block and more.
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 Fix the Import Error in the Odoo 17Celine George
An import error occurs when a program fails to import a module or library, disrupting its execution. In languages like Python, this issue arises when the specified module cannot be found or accessed, hindering the program's functionality. Resolving import errors is crucial for maintaining smooth software operation and uninterrupted development processes.
ISO/IEC 27001, ISO/IEC 42001, and GDPR: Best Practices for Implementation and...PECB
Denis is a dynamic and results-driven Chief Information Officer (CIO) with a distinguished career spanning information systems analysis and technical project management. With a proven track record of spearheading the design and delivery of cutting-edge Information Management solutions, he has consistently elevated business operations, streamlined reporting functions, and maximized process efficiency.
Certified as an ISO/IEC 27001: Information Security Management Systems (ISMS) Lead Implementer, Data Protection Officer, and Cyber Risks Analyst, Denis brings a heightened focus on data security, privacy, and cyber resilience to every endeavor.
His expertise extends across a diverse spectrum of reporting, database, and web development applications, underpinned by an exceptional grasp of data storage and virtualization technologies. His proficiency in application testing, database administration, and data cleansing ensures seamless execution of complex projects.
What sets Denis apart is his comprehensive understanding of Business and Systems Analysis technologies, honed through involvement in all phases of the Software Development Lifecycle (SDLC). From meticulous requirements gathering to precise analysis, innovative design, rigorous development, thorough testing, and successful implementation, he has consistently delivered exceptional results.
Throughout his career, he has taken on multifaceted roles, from leading technical project management teams to owning solutions that drive operational excellence. His conscientious and proactive approach is unwavering, whether he is working independently or collaboratively within a team. His ability to connect with colleagues on a personal level underscores his commitment to fostering a harmonious and productive workplace environment.
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Tags: Information Security, ISO/IEC 27001, ISO/IEC 42001, Artificial Intelligence, GDPR
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2. 03/19/11 2
General Points and Strategy
The Kangaroo math contest has 24 mulEple‐choice quesEons. You
will have 60 minutes to answer them all.
They are divided into three parts of 8 quesEons each:
Part A (easy) ‐ correct answer is worth 3 points
Part B (medium) ‐ correct answer is worth 4 points
Part C (hard) ‐ correct answer is worth 5 points
QuesEons leQ blank are worth 0 points.
Wrong answers carry a penalty of ‐1 point.
Calculators are not permi/ed.
Saturday, March 19, 2011
3. 03/19/11 3
General Points and Strategy
The Kangaroo math contest consists of 24 mulEple‐choice
quesEons to be answered in 60 minutes.
That means you only have two and a half minutes for every
quesEon!
If you get stuck on a quesEon, skip it, do the other ones and come
back to it when you're sure you have Eme to try again.
Very few students finish the enEre contest in the Eme alloZed
and answer every quesEon correctly.
Do not be discouraged if you find you can't do some quesEons.
Remember, if you don't know the answer, don't guess! It's beZer
to leave the answer blank than to risk losing 1 point if you
guessed wrong.
Saturday, March 19, 2011
4. 03/19/11
Part A: Each correct answer is worth 3 points.
1) In one of the following pictures exactly three quarters of
all objects are hearts. Which one is it?
A) B) C) D) E)
Answer: D)
A has 3 hearts and 11 objects which is 3/11, not 3/4
B has 3 hearts and 7 objects which is 3/7, not 3/4
C has 6 hearts and 14 objects which is 6/14 = 3/7, not 3/4
D has 9 hearts and 12 objects, which is 9/12 = 3/4 :‐)
Saturday, March 19, 2011
5. 03/19/11
2) What is the sum ?
A) 1015 B) 5010 C) 10150 D) 11005 E) 10015
Answer: E)
Part A: Each correct answer is worth 3 points.
The long way:
2001 + 2002 + 2003 + 2004 + 2005 ...
The short way:
(2000 + 1) + (2000 + 2) + (2000 + 3) + (2000 + 4) + (2000 + 5)
= (2000 x 5) + 1 + 2 + 3 + 4 + 5
= 10015
Saturday, March 19, 2011
6. 03/19/11
3) At the picture below you can see a road from town A to
town B (a solid line), and a detour of a renovated interval
A’B’, marked as a dashed line. How many km further does
one have to travel using the detour?
Answer: C) 3 + 3 = 6 km
A) 3 km B) 5 km C) 6 km D) 10 km
E) This is impossible to calculate
Part A: Each correct answer is worth 3 points.
The detour involves driving 3 km away from the road, driving
alongside it, then driving 3 km back to it.
But this stretch is exactly the same as what we would've driven.
Saturday, March 19, 2011
7. 03/19/11
4) Jerome was 4 years old when his sister was born. Today he
celebrates his 9th birthday. What is the age difference between
him and his sister?
Answer: A)
A) 4 years
B) 5 years
C) 9 years
D) 13 years
E) 14 years
University of Toronto
Part A: Each correct answer is worth 3 points.
The difference between them was 4
years when his sister was born.
Does the difference between ages
change?
No, the difference will always be 4
years.
Saturday, March 19, 2011
8. 03/19/11
Part A: Each correct answer is worth 3 points.
5) In the picture, AC=10m, BD=15m, AD=22m. Find BC.
A) 1m
B) 2m
C) 3m
D) 4m
E) 5m
Answer: C)
AC + CD = AD
10m + CD = 22m
CD = 22m ‐ 10m
CD = 12m
BD ‐ CD = BC
15m ‐ 12m = 3m
Saturday, March 19, 2011
9. 03/19/11
Part B: Each correct answer is worth 4 points.
6) Hedgehog Mark complained to his friends: “If I had picked
up twice as many apples as I really did, I would have 24
apples more than I have now.” How many apples did Mark
pick up?
A) 48
B) 24
C) 42
D) 12
E) 36
Answer: B)
Twice as many apples is the same as 24
more apples.
Mark wishes he had picked up 24 more
apples, which is the same as the number
of apples he had.
Saturday, March 19, 2011
10. 03/19/11
7) Gabriella brings to Joseph a basket with apples and oranges.
Joseph has eaten a half of all apples and one third of all oranges.
Which part of the fruits remained in the basket?
Answer: B)
A) half of all fruits
B) more than half of all fruits
C) less than half of all fruits
D) one third of all fruits
E) less than a third of all fruits
Part B: Each correct answer is worth 4 points.
If Joseph had eaten half of
the apples and half of the
oranges, then half of all
fruits would remain.
However, he ate one third of
the oranges.
Is one third less than half?
It is, 1/3 is less than 1/2.
So how many fruits are leZ?
Saturday, March 19, 2011
11. 03/19/11
8) How many yellow squares must you
paint red so that the number of red
squares is exactly half of the number
of yellow squares?
Answer: B)
A) 2 B) 3 C) 4 D) 6
E) this is impossible
Part B: Each correct answer is worth 4 points.
Currently, there are 5 red squares.
Since the squares can either be red or yellow, for the red squares
to be exactly half of the yellow ones, they have to be a third of
the total number of squares.
In other words, we want a third of 24 squares to be red.
1/3 x 24 = 8. We have 5 at the moment, we should paint 3 more.
Saturday, March 19, 2011
12. 03/19/11
9) Chris constructed the brick on the picture using red and blue
cubes of the same size. The outside of the brick is
completely red, but all cubes used inside are blue. How
many blue cubes did Chris use?
A) 12 B) 24 C) 36 D) 40 E) 48
Answer: A)
Part B: Each correct answer is worth 4 points.
The front layer is all red, as is the back one.
Let's look at the two middle layers.
Each of them has red cubes all around the
outside and blue ones in the middle.
Each of the middle layers has six blue cubes
in the middle, giving a total of 12 cubes.
Saturday, March 19, 2011
13. 03/19/11
10) BeZy likes calculaEng the sum of the digits that she sees
on her digital clock (for instance, if the clock shows 21:17,
then BeZy gets 11). What is the biggest sum she can get if
the clock is a 24‐hour clock?
A) 24
B) 36
C) 19
D) 25
E) another answer
Answer: A)
Part B: Each correct answer is worth 4 points.
The biggest sum we can get from
minutes is obtained by the
biggest digits: 5 and 9.
The biggest number we can have as
the hour is 23.
BUT! That's not the number with the
biggest sum of digits.
That number is 19.
So the total maximum sum of digits
is 1 + 9 + 5 + 9 = 24.
Saturday, March 19, 2011
14. 03/19/11
11) The picture below shows 9 pencils and a weight of 30 g on a
balance scale. The picture on the right shows one of the same
pencils, a pen, and a weight of 15 g. Both scales are balanced.
How many grams does the pen weight?
A) 6 g B) 7 g C) 8 g D) 9 g E) 10 g
Answer: D)
Part C: Each correct answer is worth 5 points.
On the first scale, taking two pencils from each side will not
change the balance, leaving five pencils on one side and
30 grams on the other.
That means that each pencil weighs 30 / 5 = 6 grams.
Then, a 6‐gram pencil and a pen weigh 15 grams, so
a pen weights 15 ‐ 6 = 9 grams.
Saturday, March 19, 2011
15. 03/19/11
12) In a class there are 29 children. 12 children have a sister and
18 children have a brother. Tina, Bert, and Anne have no
brother and no sister. How many children in that class have
both a brother and a sister?
A) no one
B) 1
C) 3
D) 4
E) 6
Answer: D)
Part C: Each correct answer is worth 5 points.
How many children have a brother or a sister
if 3 children don't have any?
There are 26 children with a brother or a
sister.
If none of them had both, there would be 12 +
18 = 30 children.
However, we only have 26, which means 4
children have to be in both groups, i.e.
4 children have both a brother and a sister.
Saturday, March 19, 2011
16. The green house is on the other side of the red house with respect
to the blue house, making it #3 in either case.
The red house is only next to the blue, so it's on the end (#1 or #5)
03/19/11
13) There are five houses on Colour Street : a blue, a red, a yellow, a
pink, and a green one. The houses are numbered from 1 to 5
(see the picture).
Answer: E)
A) Blue B) Red C) Yellow D) Pink E) Green
1 2 3 4 5
Determine the color of house #3 using the following clues
• The numbers of the blue and yellow houses are even.
• The red house is next to the blue house only.
• The blue house is between the green and red houses.
Part C: Each correct answer is worth 5 points.
The blue house is either #2 or #4.
Saturday, March 19, 2011
17. 03/19/11
14) Four numbers are placed in the small squares in the table below:
If the sum of the numbers of the first row is 3, the sum of the
numbers of the second row is 8 and the sum of the numbers of
the first column is 4, what is the sum of the numbers in the
second column?
Answer: C)
A) 4 B) 6 C) 7 D) 8 E) 11
Part C: Each correct answer is worth 5 points.
The sum in the first row is 3
The sum in the second row is 8
So, the sum in the enere table is 3 + 8 = 11
Out of those 11, we know that 4 belong in the
first column.
So, the sum in the second column is 11 ‐ 4 = 7
Saturday, March 19, 2011
18. 03/19/11
15) The first three figures of a paZern are constructed from triangles, as
shown:
…
There is one triangle on the first figure, 4 triangles on the second
figure, and 9 triangles on the third figure. If the paZern is extended
with several more figures, how many triangles will be there on the
fiQh figure?
Answer: C)
A) 15 B) 20 C) 25 D) 30 E) 50
Part C: Each correct answer is worth 5 points.
Considering diagonal rows, the first triangle has 1, the second
1 + 3 = 4, the third 1 + 3 + 5 = 9.
If the pafern is followed, the fourth will be 1 + 3 + 5 + 7 = 16.
The fiZh will be 1 + 3 + 5 + 7 + 9 = 25.
Saturday, March 19, 2011