IMO Practice Test — Fraction Operations
6 Questions • 12 min • Olympiad level
12:00
Question 1 of 6
medium
2 1/2 + 1/2 = ?
3
2 1/2
3 1/2
2
Explanation: 1/2 + 1/2 = 1, so 2 + 1 = 3.
Question 2 of 6
hard
What must be added to 4/7 to make 1 whole?
3/7
4/7
1/7
7/7
Explanation: 7/7 − 4/7 = 3/7.
Question 3 of 6
medium
Which is the largest fraction?
5/6
4/5
3/4
2/3
Explanation: Each is one piece short of 1; the largest bottom (5/6) is closest to 1.
Question 4 of 6
hard
A jug holds 2 3/4 L and another 1 1/4 L. Total litres?
4
3 1/2
4 1/4
3 3/4
Explanation: 3/4 + 1/4 = 1, so 2 + 1 + 1 = 4 L.
Question 5 of 6
hard
Which fraction is greater than 1/2 but less than 1?
3/4
1/3
2/4
1/4
Explanation: 3/4 is more than 1/2 and less than 1.
Question 6 of 6
medium
5/12 + 5/12 = ?
10/12
10/24
25/12
1/12
Explanation: 5 + 5 = 10 → 10/12 (= 5/6).