IKMC 2019 - Grades 3-4 - Self-study

The higher the step on the podium, the higher the rank of the runner. Who finished third?

In the pictures, each dot stands for 1 and each bar stands for 5. For example, the picture shown stands for 8. Which picture stands for 12?

Sus puts three cubes on the table. On top of those he puts two cylinders. On top of these he puts another cube. Which figure corresponds to Sus’s construction?

There are two holes in the cover of a book. When the book is open, it looks as shown. Which pictures does Olaf see through the holes when he closes the book?

Karina cuts out one piece of the shown shape from the sheet. Which piece can she get?

Three people walked across a field of snow wearing muddy shoes. In which order did they do this?

Pia makes shapes with the connected sticks shown. Which of the following shapes needs more sticks than Pia has?

Source note: the continuation calls her “Ria”; it refers to the same child.

What number should replace the question mark when all the calculations are completed correctly?

Linda pinned up 3 photos in a row on a cork board using 8 pins. Peter wants to pin up 7 photos in the same way. How many pins does he need?

Dennis wants to remove one cell from the shape shown. How many of the following shapes can he get?

Six strips are woven into a pattern as shown. What does the pattern look like from the back?

The weight of a toy dog is a whole number of kilograms. How much does one toy dog weigh?

Sara has 16 blue marbles. She can trade 3 blue marbles for 1 red marble, or 2 red marbles for 5 green marbles. What is the maximum number of green marbles she can get?

Steven wants to write each of the digits 2, 0, 1 and 9 in one of the boxes of the sum. He wants the largest possible answer. Which digit could he write instead of the question mark?

A full glass of water weighs 400 grams. An empty glass weighs 100 grams. How many grams does a half-full glass of water weigh?

An apple and a pear together cost 5 cents. A banana and an apple together cost 7 cents. A pear and a banana together cost 10 cents. How much do all three cost together?

Each shape stands for a different number. The sum of the three numbers in each row is shown to the right of the row. Which number does the star stand for?

Anna used 32 small white squares to frame a 7 by 7 picture. How many of these small white squares does she need to frame a 10 by 10 picture?

The pages of a book are numbered 1, 2, 3, 4, 5 and so on. The digit 5 appears exactly 16 times. What is the maximum number of pages this book could have?

A hallway has the dimensions shown in the picture. A cat walks on the dashed line along the middle of the hallway. How many metres does the cat walk?