IKMC 2021 - Grades 3-4 - Self-study

Erik has 4 bricks of the same size. Which of the cubes shown below can he make with his 4 bricks?

How many fish will have their heads pointing towards the ring when we straighten the line?

When you put the 4 puzzle pieces together correctly, they form a rectangle with a calculation on it. What is the result of this calculation?

Alaya draws a picture of the sun. Which of the following answers is part of her picture?

Five boys competed in a shooting challenge. Ricky scored the most points. Which target was Ricky’s?

A measuring tape is wrapped around a cylinder. Which number should be at the place shown by the question mark?

Denise fired a silver and a gold rocket at the same time. The rockets exploded into 20 stars in total. The gold rocket exploded into 6 more stars than the silver one. How many stars did the gold rocket explode into?

Rosana has some balls of 3 different colours. Balls of the same colour have the same weight. What is the weight of each white ball?

Nisa has 3 different types of cards in a game: apple, cherry and grapes. She chooses 2 cards from the set and swaps their places. She wants to arrange the cards so that all the cards with the same fruit are next to each other. For which set is this NOT possible?

Sofie wants to pick 5 different shapes from the boxes. She can only pick 1 shape from each box. Which shape must she pick from box 4?

18 cubes are coloured white, grey or black and arranged as shown. The figures show the white and black parts. Which of the following is the grey part?

The 5 balls shown begin to move simultaneously in the directions indicated by their arrows. When two balls going in opposite directions collide, the bigger ball swallows the smaller one and increases its value by the value of the smaller ball. The bigger ball continues in its original direction, as in the example. What is the final result of the collisions of the 5 balls?

In an ice cream shop there is some money in a drawer. After 6 ice creams were sold, there were 70 euros in the drawer. After a total of 16 ice creams were sold, there were 120 euros in the drawer. How many euros were there at the start?

The Koala ate some leaves from 3 branches. Each branch had 20 leaves. It ate a few leaves from the first branch and then as many leaves from the second branch as were left on the first. Then it ate 2 leaves from the third branch. How many leaves in total were left on the 3 branches?

On a tall building there are 4 fire escape ladders, as shown. The heights of 3 ladders are at their tops. What is the height of the shortest ladder?

Nora plays with 3 cups on the kitchen table. She takes the left-hand cup, flips it over and puts it to the right of the other cups. The picture shows the first move. What do the cups look like after 10 moves?

Eva has the five stickers shown: triangle, circle, star, flower and apple. She puts one on each board square so that the star is not on square 5, the apple is on square 1, and the flower is adjacent to both the circle and the triangle. On which square did she put the flower?

7 cards are arranged as shown. Each card has 2 numbers, one written upside down. The teacher wants to rearrange them so that the top-row sum equals the bottom-row sum. She can do this by turning one card upside down. Which card must she turn?

The numbers 1 to 9 are placed in the squares, one per square. The sums of all pairs of neighbouring numbers are shown. Which number is placed in the shaded square?

Mia throws darts at balloons worth 3, 9, 13, 14 and 18 points. She scores 30 points in total. Which balloon does Mia definitely hit?