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IKMC 2014 - Grades 3-4 - Self-study

Question 1

Which drawing is the central part of the picture with the star?

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Question 2

Jacky wants to insert the digit 3 somewhere in the number 2014. Where should she insert the digit 3 if she wants her five-digit number to be as small as possible?
  1. in front of 2014
  2. between the 2 and the 0
  3. between the 0 and the 1
  4. between the 1 and the 4
  5. behind 2014

Question 3

Which houses are made using exactly the same pieces of triangular or rectangular shape?

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  1. 1, 4
  2. 3, 4
  3. 1, 4, 5
  4. 3, 4, 5
  5. 1, 2, 4, 5

Question 4

When Koko the Koala does not sleep, he eats 50 grams of leaves per hour. Yesterday, he slept 20 hours. How many grams of leaves did he eat yesterday?
  1. 0
  2. 50
  3. 100
  4. 200
  5. 400

Question 5

Maria subtracts and gets as results the numbers from zero to five. She connects the dots, starting at the dot with the result 0 and ending at the dot with the result 5. Which figure does she get?

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Question 6

Adam built fewer sandcastles than Martin but more than Susan. Lucy built more sandcastles than Adam and more than Martin. Dana built more sandcastles than Martin but fewer than Lucy. Who built the most sandcastles?
  1. Martin
  2. Adam
  3. Susan
  4. Dana
  5. Lucy

Question 7

Monica writes numbers in the diagram so that each number is the product of the two numbers below it. Which number should she write in the grey cell?

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  1. 0
  2. 1
  3. 2
  4. 4
  5. 8

Question 8

Ann has four pieces as shown. With these pieces she can completely cover the shape shown in the choices. Where should she put the T-shaped piece?

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Question 9

Mr. Brown has painted flowers on the store window (see picture). How do these flowers look from the other side of the window?

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Question 10

Some candies were in a bowl. Sally took half of the candies. Then Tom took half of the candies left in the bowl. After that Clara took half of the remaining candies. In the end there were 6 candies in the bowl. How many candies were in the bowl at the beginning?
  1. 12
  2. 18
  3. 20
  4. 24
  5. 48

Question 11

Which tile must be added to the picture so that the total light grey area is as big as the total dark grey area?

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Question 12

Paula shoots arrows at the target. When she misses, she obtains zero points. Paula shoots two arrows and adds the points. Which sum cannot be her score?

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  1. 60
  2. 70
  3. 80
  4. 90
  5. 100

Question 13

Mary had equal numbers of green, yellow and red tokens. She used some of these tokens to make a pile. You can see all used tokens in the figure. She still has five tokens which are not in the pile. How many yellow tokens did she have at the beginning?

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  1. 5
  2. 6
  3. 7
  4. 15
  5. 18

Question 14

Rabbit Borya likes cabbages and carrots very much. In a day he eats either 9 carrots, or 2 cabbages, or 1 cabbage and 4 carrots. During one week Borya ate 30 carrots. How many cabbages did he eat during this week?
  1. 6
  2. 7
  3. 8
  4. 9
  5. 10

Question 15

The solid in the picture was made by sticking eight equal cubes together. How does this solid look from above?

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Question 16

How many dots are there in this picture?

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  1. 180
  2. 181
  3. 182
  4. 183
  5. 265

Question 17

On Kangaroo planet each kangyear has 20 kangmonths and each kangmonth has 6 kangweeks. How many kangweeks are there in one quarter of a kangyear?
  1. 9
  2. 30
  3. 60
  4. 90
  5. 120

Question 18

Seven children are standing in a circle. No two boys are next to each other. No three girls are next to each other. Which statement about the number of girls is true?

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  1. only 3 is possible
  2. 3 and 4 are possible
  3. only 4 is possible
  4. 4 and 5 are possible
  5. only 5 is possible

Question 19

Eve arranged cards in a line as shown. In each move Eve may interchange any two cards. What is the smallest number of moves needed to get the word KANGAROO?

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  1. 2
  2. 3
  3. 4
  4. 5
  5. 6

Question 20

A sequence of triangles of diamonds is made. The first three stages are shown. At each stage a row of diamonds is added. In the bottom row the outer diamonds are white. All other diamonds are black. How many black diamonds are in stage 6?

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  1. 19
  2. 21
  3. 26
  4. 28
  5. 34