IMO Practice Test — Equivalent Fractions
6 Questions • 12 min • Olympiad level
12:00
Question 1 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 2 of 6
hard
Which is the largest fraction?
5/6
3/4
2/3
7/12
Explanation: Over twelfths: 10/12, 9/12, 8/12, 7/12 → 5/6 is largest.
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
medium
2/5 of a number is 8. The number is…
20
16
10
40
Explanation: 1/5 = 4, so 5/5 = 20.
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
Half of a number plus a quarter of the same number is 9. The number is…
12
9
18
6
Explanation: 1/2 + 1/4 = 3/4 of the number = 9, so the number = 12.