IMO Practice Test — Fractions of a Collection
6 Questions • 12 min • Olympiad level
12:00
Question 1 of 6
medium
3/4 of 16 marbles are blue. How many blue?
4
8
12
16
Explanation: 1/4 of 16=4; 3/4=12
Question 2 of 6
hard
20 birds. 2/5 are parrots. How many parrots?
4
6
8
10
Explanation: 1/5 of 20=4; 2/5=8
Question 3 of 6
medium
30 students 1/3 wear glasses. How many do NOT?
10
15
20
25
Explanation: 1/3=10 wear glasses; 30-10=20 do not
Question 4 of 6
hard
6 of 18 apples are green. Fraction NOT green?
1/3
2/3
1/6
5/6
Explanation: 6/18=1/3 green; 2/3 not green
Question 5 of 6
medium
Team has 12 members. 1/4 are girls. How many boys?
3
6
8
9
Explanation: 1/4 of 12=3 girls; 12-3=9 boys
Question 6 of 6
hard
Meera has 24 crayons. Gives 1/3 to Sana and 1/4 to Tina. Left?
8
10
12
14
Explanation: 8+6=14 given away; 24-14=10