Clock Reasoning Worksheet
How to think it through (30h − 5.5m): Minute hand angle (from 12) = minutes × 6. Hour hand angle = hours × 30 + minutes × 0.5. Angle between them = the difference; if it is more than 180°, take it away from 360°.
NameDateTime takenScore ___ / 40
- 1.A clock shows 1:04. What time will it show 36 minutes later? (a) 1:40 (b) 1:50 (c) 1:30 (d) 2:40
- 2.What is the smaller angle between the hour hand and the minute hand at 11:17? (in degrees) =
- 3.What is the smaller angle between the hour hand and the minute hand at 2:40? (in degrees) =
- 4.How many degrees does the hour hand of a clock turn in 51 minutes? =
- 5.A clock shows 11:39. What time will it show 24 minutes later? (a) 12:13 (b) 1:03 (c) 12:03 (d) 11:53
- 6.A clock shows 1:58. What time will it show 40 minutes later? (a) 3:38 (b) 2:38 (c) 2:28 (d) 2:48
- 7.How many degrees does the minute hand of a clock turn in 31 minutes? =
- 8.How many degrees does the minute hand of a clock turn in 33 minutes? =
- 9.How many degrees does the minute hand of a clock turn in 3 minutes? =
- 10.How many degrees does the minute hand of a clock turn in 51 minutes? =
- 11.What is the smaller angle between the hour hand and the minute hand at 2:58? (in degrees) =
- 12.A clock shows 12:18. What time will it show 48 minutes later? (a) 12:56 (b) 1:16 (c) 1:06 (d) 2:06
- 13.A clock shows 2:58. What time will it show 57 minutes later? (a) 3:55 (b) 4:55 (c) 4:05 (d) 3:45
- 14.What is the smaller angle between the hour hand and the minute hand at 9:24? (in degrees) =
- 15.What is the smaller angle between the hour hand and the minute hand at 5:26? (in degrees) =
- 16.A clock shows 12:31. What time will it show 151 minutes later? (a) 3:12 (b) 3:02 (c) 4:02 (d) 2:52
- 17.What is the smaller angle between the hour hand and the minute hand at 1:20? (in degrees) =
- 18.What is the smaller angle between the hour hand and the minute hand at 2:24? (in degrees) =
- 19.A clock shows 10:13. What time will it show 58 minutes later? (a) 11:21 (b) 11:01 (c) 12:11 (d) 11:11
- 20.What is the smaller angle between the hour hand and the minute hand at 5:57? (in degrees) =
- 21.A clock shows 3:46. What time will it show 28 minutes later? (a) 5:14 (b) 4:14 (c) 4:04 (d) 4:24
- 22.A clock shows 2:11. What time will it show 96 minutes later? (a) 3:47 (b) 3:57 (c) 3:37 (d) 4:47
- 23.A clock shows 10:49. What time will it show 107 minutes later? (a) 12:26 (b) 12:36 (c) 1:36 (d) 12:46
- 24.A clock shows 1:48. What time will it show 24 minutes later? (a) 3:12 (b) 2:22 (c) 2:02 (d) 2:12
- 25.What is the smaller angle between the hour hand and the minute hand at 2:28? (in degrees) =
- 26.What is the smaller angle between the hour hand and the minute hand at 8:09? (in degrees) =
- 27.A clock shows 5:08. What time will it show 37 minutes later? (a) 5:45 (b) 5:55 (c) 6:45 (d) 5:35
- 28.How many degrees does the hour hand of a clock turn in 125 minutes? =
- 29.What is the smaller angle between the hour hand and the minute hand at 3:00? (in degrees) =
- 30.How many degrees does the hour hand of a clock turn in 85 minutes? =
- 31.A clock shows 8:33. What time will it show 58 minutes later? (a) 9:31 (b) 9:41 (c) 9:21 (d) 10:31
- 32.How many degrees does the hour hand of a clock turn in 30 minutes? =
- 33.How many degrees does the minute hand of a clock turn in 23 minutes? =
- 34.A clock shows 7:24. What time will it show 170 minutes later? (a) 10:24 (b) 10:04 (c) 11:14 (d) 10:14
- 35.A clock shows 11:23. What time will it show 51 minutes later? (a) 12:14 (b) 1:14 (c) 12:04 (d) 12:24
- 36.How many degrees does the hour hand of a clock turn in 22 minutes? =
- 37.What is the smaller angle between the hour hand and the minute hand at 11:56? (in degrees) =
- 38.How many degrees does the hour hand of a clock turn in 15 minutes? =
- 39.What is the smaller angle between the hour hand and the minute hand at 1:10? (in degrees) =
- 40.What is the smaller angle between the hour hand and the minute hand at 12:27? (in degrees) =
Answer key
- 1:40
- 123.5
- 160
- 25.5
- 12:03
- 2:38
- 186
- 198
- 18
- 306
- 101
- 1:06
- 3:55
- 138
- 7
- 3:02
- 80
- 72
- 11:11
- 163.5
- 4:14
- 3:47
- 12:36
- 2:12
- 94
- 169.5
- 5:45
- 62.5
- 90
- 42.5
- 9:31
- 15
- 138
- 10:14
- 12:14
- 11
- 22
- 7.5
- 25
- 148.5
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