IMO Practice Test — Division with Remainders
6 Questions • 12 min • Olympiad level
12:00
Question 1 of 6
medium
1000 ÷ 8 = ?
125
120
128
115
Explanation: 8 × 125 = 1000.
Question 2 of 6
hard
When 50 sweets are shared among 7 children equally, each gets 7 and ___ are left.
1
2
3
0
Explanation: 7 × 7 = 49; 50 − 49 = 1 left.
Question 3 of 6
hard
A rope of 95 m is cut into 8 m pieces. How many full pieces and what is left?
11 pieces, 7 m left
12 pieces, 1 m left
11 pieces, 6 m left
10 pieces, 15 m left
Explanation: 8 × 11 = 88; 95 − 88 = 7 m left.
Question 4 of 6
hard
Which gives the LARGEST quotient?
100 ÷ 5
100 ÷ 4
100 ÷ 10
100 ÷ 20
Explanation: Dividing by the smallest divisor gives the largest quotient: 100 ÷ 4 = 25.
Question 5 of 6
medium
What is 240 ÷ 8?
28
30
32
24
Explanation: 8 × 30 = 240.
Question 6 of 6
medium
Check: 96 ÷ 8 = 12. Then 12 × 8 = ?
88
96
104
98
Explanation: Quotient × divisor = the original number, 96.