IMO Practice Test — Equivalent Fractions
6 Questions • 12 min • Olympiad level
12:00
Question 1 of 6
medium
2/5 of a number is 8. The number is…
20
16
10
40
Explanation: 1/5 = 4, so 5/5 = 20.
Question 2 of 6
medium
Which fraction is closest to 0?
1/10
1/2
1/3
1/4
Explanation: 1/10 is the smallest piece, nearest to 0.
Question 3 of 6
medium
Simplify 10/15 to lowest terms.
2/3
3/5
5/7
1/2
Explanation: Divide both by 5 → 2/3.
Question 4 of 6
hard
Which fraction in lowest terms equals 12/16?
3/4
2/3
4/5
6/8
Explanation: Divide both by 4 → 3/4.
Question 5 of 6
medium
Which fraction is closest to 1?
7/8
1/2
2/3
3/4
Explanation: 7/8 is only 1/8 away from 1 whole.
Question 6 of 6
hard
A tank is 2/3 full and holds 24 L when full. How many litres are in it?
16
12
8
18
Explanation: 1/3 of 24 = 8, so 2/3 = 16 L.