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IKMC 2015 - Grades 1-2 - Self-study

Question 1

Which shape cannot be seen in every picture?

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Question 2

How many triangles can you find in the picture?

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

Question 4

How many dots do all ladybirds have together?

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  1. 17
  2. 18
  3. 19
  4. 20
  5. 21

Question 5

Florian has 10 equally long metal strips with equally many holes. He bolts the metal strips together in pairs. Now he has five long strips (see the diagram). Which of the long strips is the shortest?

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  1. A
  2. B
  3. C
  4. D
  5. E

Question 6

Which of the kangaroo cards shown below can be turned around so that it then looks the same as the card shown on the right?

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Question 7

What do you see if you look at the tower, which is made up of two building blocks, exactly from above?

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Question 8

How many numbers are outside the square?

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

Question 9

It takes Jennifer half an hour to cover half of her journey home from school. How long does it take her to cover the whole journey home?

Editorial assumption: Jennifer travels at the same speed for both halves.
  1. 15 minutes
  2. 30 minutes
  3. 40 minutes
  4. 1 hour
  5. 2 hours

Question 10

Michael has two building blocks. Each building block is made up of two cubes glued together. Which figure can he not make using the blocks?

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Question 11

Julia has 9 sweets and Katharina has 17 sweets. How many sweets does Katharina have to give to Julia so that they both have the same amount of sweets?
  1. 2
  2. 3
  3. 4
  4. 5
  5. 6

Question 12

Every one of these six building blocks consists of 5 little cubes. The little cubes are either white or grey. Cubes of equal colour don’t touch each other. How many little white cubes are there in total?

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  1. 10
  2. 11
  3. 12
  4. 18
  5. 30

Question 14

11 Flags are placed alongside a straight race course. The first flat is at the start, the last one at the finish. The distance between two flags is always 8 meters. How long is the race course?

Editorial note: “flat” is a printed typo for “flag”; the distance refers to neighbouring flags.
  1. 24 meters
  2. 48 meters
  3. 72 meters
  4. 80 meters
  5. 88 meters

Question 15

Some pirates are climbing onto a ship one after the other using a rope. Their leader is exactly in the middle. He is the eighth pirate to climb onto the ship. How many pirates board the ship?
  1. 16
  2. 15
  3. 12
  4. 8
  5. 7