IKMC 2024 - Grades 3-4 - Set 2 - Self-study

Which square is cut into two different shapes?

What is the smallest number of ladders the firefighter must use to reach the fire without jumping?

The table has 28 white cells. Ira paints two rows and one column. Rows run left to right, and columns top to bottom. How many cells remain white?

Players 1 to 11 stand in a circle. Each kicks the ball to the third player on their left, as shown. Player 1 starts. The game ends when someone has the ball for the second time. Who kicked the ball last?

Mohammad wrote three consecutive four-digit numbers. His sister erased some digits. What are the missing groups from left to right?

Lizzy pays 7 dollars for three items. Each item has a different positive whole-number price. What is the price of the most expensive item?

A cat knocks one block off Felix’s construction, leaving the picture shown. What could the construction have looked like before?

Alex has a Kangaroo poster on the tiled kitchen wall. How many grey tiles are behind the poster?

Antonia and Lucian each toss a coin four times, starting just before number 1. Purple means advance 3 steps; green means go back 1 step, or stay at the start if already there. Antonia finishes at 4 and Lucian at 8. How many green results do they have in total?

Five kinds of fruit are available: apple, cherries, grapes, strawberry, banana. Ann likes only grapes; Ben likes all five; Cam likes grapes, strawberry, banana; Dan likes grapes, banana; Eli likes cherries, strawberry. Everyone gets a different kind they like. What does Ben get?

Ada has a tower of eight discs as shown. She removes the second disc from the bottom, then the third from the bottom of the new tower, then the fourth, and finally the fifth. Which tower remains?

Peter brings 9 fish each day for two chicks, giving 5 to the first he sees and 4 to the other. Over some days, one chick eats 26 fish. How many does the other eat?

Cards 1 through 7 are placed once each in four overlapping rings. Each ring’s numbers sum to 10. What number is under the question mark?

Lucas makes a caterpillar with a head, a tail, and one, two or three puzzle pieces between them. Pieces cannot be flipped. How many different caterpillars can he make?

John writes 1 to 4 on one side of a sheet, flips it, and writes 5 to 8 as shown. He cuts four rectangular cards and lays them out as pictured. What is the sum of the two hidden front-side numbers?

The floor uses the two tile shapes shown. Each rectangle is 23 cm by 11 cm. What is the side length of each small square?

Three partly eaten number cards have sum 782. What is the sum of the three missing digits?

The pairwise weights of the three blocks are shown. What do all three blocks weigh together?

Sixty pupils line up. Vest colours repeat yellow, green. Backpack colours repeat red, brown, orange. How many pupils have both a yellow vest and an orange backpack?

Equal shapes hide equal digits, and different shapes hide different digits. The calculations are shown. What is triangle×circle×square?