IMO Practice Test — Basic Shapes
6 Questions • 15 min • Olympiad level
15:00
Question 1 of 6
Sam draws 2 separate squares in his notebook. He then counts all the corners of both squares together. What is his final count?
4
6
8
10
Explanation: Each square has 4 corners. For 2 squares, the total corners are 4 + 4 = 8.
Question 2 of 6
A mystery shape has more corners than a triangle but fewer corners than a hexagon. All of its 4 sides are exactly equal. What is it?
Rectangle
Square
Circle
Oval
Explanation: It must have 4 or 5 corners. Since it has 4 equal sides, it is a square.
Question 3 of 6
Tina matches a triangle's corners to a hexagon's sides. How many more sides does a hexagon have than a triangle has corners?
2
3
4
1
Explanation: A hexagon has 6 sides. A triangle has 3 corners. 6 - 3 = 3.
Question 4 of 6
Jenny runs around a square park. She turns at every single corner. If she runs around the entire park twice, how many turns does she make?
4
6
8
12
Explanation: One round around a square requires 4 turns. Two rounds mean 4 + 4 = 8 turns.
Question 5 of 6
Look at the pattern: Circle, Triangle, Square, Circle, Triangle, Square. What is the 8th shape in this repeating pattern?
Circle
Triangle
Square
Oval
Explanation: The pattern repeats every 3 shapes. The 7th is a Circle, so the 8th is a Triangle.
Question 6 of 6
Max cuts a long rectangular strip of paper directly in half with one straight vertical cut. What two shapes does he get if the original strip was very long?
Two circles
Two triangles
Two rectangles
Two hexagons
Explanation: Cutting a long rectangle vertically produces two shorter, distinct rectangles.