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
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 3 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.
Question 4 of 6
hard
Two fractions equal 1/2: 4/8 and 5/10. Which statement is true?
They are equal
4/8 is bigger
5/10 is bigger
Neither equals 1/2
Explanation: Both simplify to 1/2, so they are equal.
Question 5 of 6
medium
Which pair are equivalent fractions?
3/4 and 9/12
1/2 and 2/3
2/5 and 3/5
1/3 and 1/4
Explanation: 3/4 × 3 = 9/12.
Question 6 of 6
medium
3/4 of a basket of fruit is 18 apples. How many fruits in the full basket?
24
20
27
22
Explanation: 1/4 = 6, so the whole = 24.