IMO Practice Test — Fraction Operations
6 Questions • 12 min • Olympiad level
12:00
Question 1 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 2 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 3 of 6
hard
Ravi ate 2/8 of a pizza and Sam ate 3/8. How much is left?
3/8
5/8
1/8
4/8
Explanation: 2/8 + 3/8 = 5/8 eaten; 8/8 − 5/8 = 3/8 left.
Question 4 of 6
medium
Which fraction is exactly half of 6/7… no, which equals 1/2?
3/6
4/7
2/5
5/8
Explanation: 3/6 simplifies to 1/2.
Question 5 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 6 of 6
medium
Which whole number does 8/4 equal?
2
4
1
8
Explanation: 8 ÷ 4 = 2.