IKMC 2017 - Grades 3-4 - Self-study

Which piece A–E fits between the two pieces above so that the two equalities are correct?

John looks through the window. He sees half of the kangaroos in the park, as shown. How many kangaroos are there in the park?

Two gridded transparent sheets are darkened in some squares, as shown. Both are slid on top of the board in the middle. Pictures behind darkened squares cannot be seen. Only one picture remains visible. Which is it?

A picture of footprints was turned upside down. Which footprints are missing?

What number is hidden behind the panda?

The table shows correct sums. What number is in the box with the question mark?

Dolly accidentally broke the mirror into pieces. How many pieces have exactly four sides?

The figure shows a necklace of six beads. Which one is the same necklace?

The picture shows the front of Ann’s house. The back has three windows and no door. What view does Ann see when looking at the back?

The equality in the picture is true. Which of the following is true?

Balloons are sold in packets of 5, 10 and 25. Marius buys exactly 70 balloons. What is the smallest number of packets he could buy?

Bob folded a piece of paper. He punched exactly one hole, then unfolded it and saw the result shown. How had he folded the paper?

At a pool tournament, first 13 children signed up, then another 19. Six teams with equal numbers of members are needed. At least how many more children must sign up so the teams can be formed?

Numbers are placed in the cells of the 4 × 4 square shown. Mary finds the 2 × 2 square whose four numbers have the largest sum. What is that sum?

Which route is the longest?

Which number should be written in the circle containing the question mark?

The picture shows a group of building blocks and its plan. Ink has covered two numbers on the plan. What is the sum of the numbers under the ink blots?

How long is the train?

George starts training at five in the afternoon. Walking from home to the bus stop takes 5 minutes, the bus journey 15 minutes, and walking from the next stop to the field 5 minutes. Buses run every 10 minutes from six in the morning. What is the latest time he can leave home to arrive exactly on time?

David wants to cook five dishes on a stove with only two burners. The cooking times are 40, 15, 35, 10 and 45 minutes. What is the shortest time needed? He may remove a dish only when it is cooked.