IMO Practice Test — Area and Perimeter Formulas
6 Questions • 12 min • Olympiad level
12:00
Question 1 of 6
medium
A 4 cm by 4 cm square and a 6 cm by 2 cm rectangle. Which has the larger perimeter?
they are equal (16)
the square
the rectangle
cannot tell
Explanation: Both perimeters = 16 cm.
Question 2 of 6
hard
A rectangle has area 24 sq cm. Which dimensions give the smallest perimeter?
4 cm by 6 cm
1 cm by 24 cm
2 cm by 12 cm
3 cm by 8 cm
Explanation: The closer the sides, the smaller the perimeter: 4×6 gives 20 cm.
Question 3 of 6
hard
A rectangle has perimeter 30 cm and width 5 cm. What is its length?
10 cm
5 cm
20 cm
15 cm
Explanation: Half of 30 = 15; 15 − 5 = 10 cm.
Question 4 of 6
medium
A square field has a side of 25 m. How far is it around the field?
100 m
625 m
50 m
75 m
Explanation: 4 × 25 = 100 m.
Question 5 of 6
hard
How many 1 cm tiles cover a 9 cm by 5 cm rectangle?
45
28
14
40
Explanation: Area = 9 × 5 = 45 square cm, so 45 tiles.
Question 6 of 6
medium
A garden is 15 m by 4 m. Area?
60 sq m
38 sq m
19 sq m
30 sq m
Explanation: 15 × 4 = 60 square m.