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 3:15. What time will it show 41 minutes later? (a) 4:56 (b) 3:46 (c) 3:56 (d) 4:06
- 2.What is the smaller angle between the hour hand and the minute hand at 8:48? (in degrees) =
- 3.How many degrees does the hour hand of a clock turn in 26 minutes? =
- 4.What is the smaller angle between the hour hand and the minute hand at 8:11? (in degrees) =
- 5.What is the smaller angle between the hour hand and the minute hand at 2:30? (in degrees) =
- 6.How many degrees does the hour hand of a clock turn in 70 minutes? =
- 7.How many degrees does the minute hand of a clock turn in 16 minutes? =
- 8.A clock shows 7:36. What time will it show 148 minutes later? (a) 11:04 (b) 10:04 (c) 9:54 (d) 10:14
- 9.How many degrees does the hour hand of a clock turn in 18 minutes? =
- 10.What is the smaller angle between the hour hand and the minute hand at 8:25? (in degrees) =
- 11.What is the smaller angle between the hour hand and the minute hand at 8:14? (in degrees) =
- 12.How many degrees does the hour hand of a clock turn in 86 minutes? =
- 13.A clock shows 11:08. What time will it show 66 minutes later? (a) 12:14 (b) 12:24 (c) 1:14 (d) 12:04
- 14.How many degrees does the hour hand of a clock turn in 27 minutes? =
- 15.What is the smaller angle between the hour hand and the minute hand at 6:13? (in degrees) =
- 16.A clock shows 10:19. What time will it show 118 minutes later? (a) 1:17 (b) 12:07 (c) 12:17 (d) 12:27
- 17.What is the smaller angle between the hour hand and the minute hand at 8:37? (in degrees) =
- 18.A clock shows 2:16. What time will it show 96 minutes later? (a) 4:02 (b) 3:42 (c) 3:52 (d) 4:52
- 19.What is the smaller angle between the hour hand and the minute hand at 9:15? (in degrees) =
- 20.A clock shows 10:35. What time will it show 49 minutes later? (a) 11:34 (b) 12:24 (c) 11:14 (d) 11:24
- 21.How many degrees does the minute hand of a clock turn in 12 minutes? =
- 22.What is the smaller angle between the hour hand and the minute hand at 3:37? (in degrees) =
- 23.How many degrees does the minute hand of a clock turn in 6 minutes? =
- 24.A clock shows 2:15. What time will it show 107 minutes later? (a) 3:52 (b) 5:02 (c) 4:02 (d) 4:12
- 25.How many degrees does the minute hand of a clock turn in 8 minutes? =
- 26.A clock shows 1:42. What time will it show 122 minutes later? (a) 4:44 (b) 3:44 (c) 3:54 (d) 3:34
- 27.A clock shows 6:05. What time will it show 114 minutes later? (a) 7:49 (b) 8:09 (c) 8:59 (d) 7:59
- 28.How many degrees does the minute hand of a clock turn in 46 minutes? =
- 29.A clock shows 3:03. What time will it show 157 minutes later? (a) 5:30 (b) 5:50 (c) 5:40 (d) 6:40
- 30.What is the smaller angle between the hour hand and the minute hand at 4:54? (in degrees) =
- 31.A clock shows 3:35. What time will it show 10 minutes later? (a) 3:55 (b) 4:45 (c) 3:45 (d) 3:35
- 32.A clock shows 12:10. What time will it show 156 minutes later? (a) 2:56 (b) 3:46 (c) 2:46 (d) 2:36
- 33.A clock shows 6:58. What time will it show 135 minutes later? (a) 10:13 (b) 9:03 (c) 9:13 (d) 9:23
- 34.A clock shows 10:43. What time will it show 57 minutes later? (a) 11:40 (b) 12:40 (c) 11:50 (d) 11:30
- 35.What is the smaller angle between the hour hand and the minute hand at 4:38? (in degrees) =
- 36.A clock shows 12:45. What time will it show 100 minutes later? (a) 2:15 (b) 3:25 (c) 2:25 (d) 2:35
- 37.A clock shows 2:39. What time will it show 51 minutes later? (a) 3:40 (b) 4:30 (c) 3:20 (d) 3:30
- 38.What is the smaller angle between the hour hand and the minute hand at 1:27? (in degrees) =
- 39.A clock shows 8:02. What time will it show 37 minutes later? (a) 9:39 (b) 8:29 (c) 8:49 (d) 8:39
- 40.A clock shows 8:56. What time will it show 155 minutes later? (a) 12:31 (b) 11:21 (c) 11:31 (d) 11:41
Answer key
- 3:56
- 24
- 13
- 179.5
- 105
- 35
- 96
- 10:04
- 9
- 102.5
- 163
- 43
- 12:14
- 13.5
- 108.5
- 12:17
- 36.5
- 3:52
- 172.5
- 11:24
- 72
- 113.5
- 36
- 4:02
- 48
- 3:44
- 7:59
- 276
- 5:40
- 177
- 3:45
- 2:46
- 9:13
- 11:40
- 89
- 2:25
- 3:30
- 118.5
- 8:39
- 11:31
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