IMO Practice Test — Long Division
6 Questions • 25 min • Olympiad level
25:00
Question 1 of 6
hard
A number divided by 18 gives 12 with no remainder. The number is…
206
216
226
200
Explanation: 18 × 12 = 216.
Question 2 of 6
hard
625 ÷ 25 = ?
24
25
26
23
Explanation: 25 × 25 = 625.
Question 3 of 6
medium
315 books are shared equally among 5 shelves. Each shelf holds…
61
63
65
53
Explanation: 315 ÷ 5 = 63.
Question 4 of 6
medium
Which division has NO remainder?
50 ÷ 4
60 ÷ 5
70 ÷ 3
45 ÷ 2
Explanation: 60 ÷ 5 = 12 exactly.
Question 5 of 6
hard
What is the largest remainder possible when dividing by 6?
4
5
6
7
Explanation: A remainder must be less than the divisor, so the largest is 5.
Question 6 of 6
hard
₹756 is shared equally among 9 workers. Each gets…
₹74
₹84
₹94
₹86
Explanation: 756 ÷ 9 = 84.