IMO Practice Test — Perimeter & Area
6 Questions • 25 min • Olympiad level
25:00
Question 1 of 6
hard
A 7 × 7 square has a 3 × 3 square removed from a corner. Remaining area?
40
49
9
46
Explanation: 49 − 9 = 40 square units.
Question 2 of 6
medium
A square has area 36 cm². Its side is…
6 cm
9 cm
12 cm
18 cm
Explanation: 6 × 6 = 36, so side = 6 cm.
Question 3 of 6
medium
A shape is three 2 × 2 squares joined. Its total area is…
8
12
6
4
Explanation: Each square = 4; 4 × 3 = 12.
Question 4 of 6
medium
Tiles of 1 m² cover a 5 m × 4 m floor. How many tiles are needed?
9
18
20
40
Explanation: Area = 5 × 4 = 20 tiles.
Question 5 of 6
hard
A rectangle has perimeter 30 cm and length 10 cm. Its width is…
5 cm
10 cm
15 cm
20 cm
Explanation: 2 × (10 + W) = 30 → W = 5.
Question 6 of 6
medium
A square has side 8 m. Its perimeter is…
16 m
32 m
64 m
24 m
Explanation: 4 × 8 = 32 m.