IMO Practice Test — Operations with Fractions (Unlike Denominators)
6 Questions • 25 min • Olympiad level
25:00
Question 1 of 6
hard
1/2 + 2/5 = ?
9/10
3/7
3/10
1
Explanation: 5/10 + 4/10 = 9/10.
Question 2 of 6
medium
Three friends each eat 1/4 of a cake. How much cake is left?
1/4
3/4
1/2
0
Explanation: 3 × 1/4 = 3/4 eaten, so 1/4 is left.
Question 3 of 6
medium
1/2 + 1/3 + 1/6 = ?
1
3/11
5/6
1/6
Explanation: 3/6 + 2/6 + 1/6 = 6/6 = 1.
Question 4 of 6
medium
Which fraction lies between 1/4 and 1/2?
3/8
5/8
1/8
3/4
Explanation: 3/8 = 0.375, between 0.25 and 0.5.
Question 5 of 6
hard
Ascending order of 1/2, 2/3, 3/5:
1/2, 3/5, 2/3
3/5, 1/2, 2/3
1/2, 2/3, 3/5
2/3, 3/5, 1/2
Explanation: 0.5 < 0.6 < 0.667 → 1/2, 3/5, 2/3.
Question 6 of 6
hard
A garden is 2/5 flowers and 1/2 grass. The rest is path. What fraction is path?
1/10
1/7
3/10
1/5
Explanation: 2/5 + 1/2 = 4/10 + 5/10 = 9/10, so path = 1/10.