IKMC 2018 - Grades 3-4 - Self-study

Leonie has 10 rubber stamps. Each stamp has one of the digits 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9. She prints the date of the Kangaroo contest shown below. How many stamps does she use?

The picture shows 3 flying arrows and 9 fixed balloons. When an arrow hits a balloon, it bursts, and the arrow flies further in the same direction. How many balloons will be hit by the arrows?

Susan is 6 years old. Her sister is one year younger and her brother is one year older. What is the sum of the ages of the three siblings?

The picture shows five screws in a block. Four screws are the same length. One screw is shorter. Which screw is the shortest?

Here is a picture of Sophie the ladybird. She turns. Which picture of the ladybirds below is not Sophie?

Lucy folds a sheet of paper in half. Then she cuts a piece out of it as shown. What will she see when she unfolds the paper?

First, Diana scores 12 points in total with three arrows. On her second turn she scores 15 points. How many points does she score on her third turn?

Mike sets the table for 8 people. Correctly means the fork on the left of each plate and the knife on the right, as seen by the person sitting there. How many people does Mike set the table correctly for?

Roberto makes designs using tiles like the one shown. How many of the 5 designs can he make?

Albert fills the grid with these five figures. Each figure appears exactly once in every column and in every row. Which figure must Albert put in the cell with the question mark?

Tom cuts two types of pieces out of grid paper. What is the smallest number of pieces that Tom needs in order to cover completely the boat in the picture?

The colours in this picture must be swapped over. Then the picture has to be turned around. What does the new picture look like?

Peta rabbit has 20 carrots. She eats 2 carrots every day. She ate the 12th carrot on Wednesday. On which day did she start eating the carrots?

Toby glues 10 cubes together to make the structure shown below. Then he paints the whole structure, even the bottom. How many cubes are painted on exactly 4 of their faces?

There are 8 flowers on a rose bush. Some butterflies and some dragonflies sit on the flowers. There is no more than one insect per flower. More than half of the flowers are occupied. The number of butterflies is twice the number of dragonflies. How many butterflies sit on the flowers?

Captain Kook wants to sail from Easter through every island on the map and back to Easter. The total journey is 100 km long. The distance between Des and Lako is the same as the distance between Easter and Flower via Volcano. How far is it directly from Easter to Lako?

The rooms in Kanga’s house are numbered. Baby Roo enters the main door, passes through some rooms and leaves the house. The numbers of the rooms he visits are always increasing. Through which door does he leave the house?

Four balls weigh 10, 20, 30 and 40, one weight each. Which ball weighs 30?

The band shown in the drawing can be fastened in five ways. How much longer is the band fastened in one hole than the band fastened in all five holes?

In an ancient language the five symbols shown represent the numbers 1, 2, 3, 4 and 5, one number each. Nobody knows which symbol represents which number. The equations shown are known. Which symbol represents the number 3?