IMO Practice Test — Time
6 Questions • 12 min • Olympiad level
12:00
Question 1 of 6
hard
A year that is NOT a leap year has how many extra days beyond 52 full weeks?
1
2
0
7
Explanation: 52 × 7 = 364, and 365 − 364 = 1 extra day.
Question 2 of 6
medium
Write 11:30 p.m. in 24-hour time.
23:30
11:30
13:30
00:30
Explanation: 11 + 12 = 23 → 23:30.
Question 3 of 6
hard
A clock shows 16:45. How many minutes until 17:00?
15
45
55
5
Explanation: 17:00 − 16:45 = 15 minutes.
Question 4 of 6
hard
A trip takes 1 hour 50 minutes and ends at 4:30 p.m. When did it start?
2:40 p.m.
2:30 p.m.
3:40 p.m.
2:50 p.m.
Explanation: 4:30 − 1 h 50 min = 2:40 p.m.
Question 5 of 6
hard
A movie of 2 hours 15 minutes starts at 6:50 p.m. When does it end?
9:05 p.m.
8:05 p.m.
9:15 p.m.
8:65 p.m.
Explanation: 6:50 + 2 h = 8:50; + 15 min = 9:05 p.m.
Question 6 of 6
medium
If today is Friday, what day was it 3 days ago?
Tuesday
Monday
Wednesday
Thursday
Explanation: Friday − 3 = Tuesday.