Question bank IKMC 2015

Which shape cannot be seen in every picture?

How many triangles can you find in the picture?

Which part of the house is missing?

How many dots do all ladybirds have together?

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?

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?

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

How many numbers are outside the square?

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.

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?

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?

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?

Which piece is missing?

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.

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?

Follow the operations shown. Which number replaces the question mark?

Eric had 10 equal metal strips. He screwed pairs of them together into five long strips as shown. Which strip is the longest?

Which number is hidden behind the square?

Starting at 1, draw a line to every second dot around the circle until returning to 1. The first two lines are already drawn. What figure do we get?

Lucy had some kangas in her wallet as shown. She went to a shop, bought a ball and paid 7 kangas. How many kangas did she have when she left the shop?