IMO Practice Test — Perimeter & Area
6 Questions • 25 min • Olympiad level
25:00
Question 1 of 6
hard
If you double both sides of a square, its area becomes…
double
triple
four times
the same
Explanation: Side × 2 → area × (2 × 2) = 4 times.
Question 2 of 6
hard
An L-shape: a 6 × 6 square with a 4 × 4 square cut from one corner. Area?
20
36
16
32
Explanation: 36 − 16 = 20 square units.
Question 3 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 4 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 5 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 6 of 6
medium
A rectangle is 12 cm by 5 cm. Its perimeter is…
17 cm
34 cm
60 cm
24 cm
Explanation: 2 × (12 + 5) = 34 cm.