IKMC 2025 - Grades 3-4 - Self-study

Nico and his little sister are playing with their shells and marbles. Each shell has a value of 6 and each marble has a value of 1. Which picture shows the value 16?

Kenny the Kangaroo hops from his school to the zoo. He hops like this: ↑ 2, ↖ 2, ↙ 1, ← 4, as shown. From the zoo, Kenny hops like this: → 3, ↗ 2, ↑ 2. Which house does Kenny land at?

Mia builds a large cube out of small cubes. While she is building it, she takes a photo at five different times. Which of the five photos shown is the fourth?

Simona writes the numbers 2, 0, 2 and 5 in the boxes. In what order can she write them so that the calculation produces the biggest result?

Markus pulls on both ends of each rope at the same time. Which rope forms a knot?

Larissa has a toy windmill that rotates in the wind, as shown, and then stops. What does it look like now?

Alex steps on some lines on the ground, as shown. What does the ground look like under his shoe?

If you add up the numbers on two opposite sides of a die, you always get 7. Which of the pictures can show such a die?

George has the three shown poles. Which windmill can he make with them?

Max draws a large circle in the sand. Lisa adds A, B, C and D. They start at the same time from A. Lisa goes clockwise and Max runs anticlockwise. They meet for the first time at B, then at C, at D and then again at A. How many times has Max run around the circle by then?

Anna, Bonnie and Caspar have kangaroo cookies on their plates, as shown. There are 15 more cookies left. They distribute these so that each child ends up with the same number. How many cookies does Anna get added to her plate?

In the morning, Anna, Bob, Cristina, David and Eduard each have a fully charged cell-phone battery. By evening, Bob has used as much battery as Anna and Cristina combined. Bob’s battery is empty. David has not used his phone at all. The pictures show the five battery levels. Which is Eduard’s?

Two pieces were cut out of a chessboard. Which are they?

Rudi feeds six sheep in the petting zoo. They get a total of 210 g of food. Each of the five large sheep gets the same amount; the small one gets twice as much as a large sheep. How much food does the small sheep get?

Tom wants to cut the pizza in half so that each half has the same number of tomatoes. There are two ways. Along which lines can he cut?

Eva assembles the two identical parts shown into a figure. Which of the figures can she not build?

Six ladybirds have 1, 2, 3, 4, 5 or 6 spots respectively. Marta takes four photos, each of three different ladybirds. Each ladybird appears equally often in the four photos. The first three photos are shown. How many spots do the three ladybirds in the fourth photo have in total?

Maria writes the numbers 1,2,3,4,5,6,7 exactly once on the number wall. Adding the two bottom numbers immediately below a top box gives the number in that box. Which number must she write in the box with the star?

Tim has laid out a pattern on the floor made of 11 identical tiles, as shown. How long and how wide is one tile?

Jana writes down how much her toys weigh, as shown. She wants to divide all her toys into two boxes so that the boxes have the same weight. Which two toys do not go in the same box?