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.What is the smaller angle between the hour hand and the minute hand at 1:07? (in degrees) =
- 2.What is the smaller angle between the hour hand and the minute hand at 12:35? (in degrees) =
- 3.How many degrees does the minute hand of a clock turn in 33 minutes? =
- 4.What is the smaller angle between the hour hand and the minute hand at 7:30? (in degrees) =
- 5.A clock shows 3:19. What time will it show 89 minutes later? (a) 4:48 (b) 4:38 (c) 5:48 (d) 4:58
- 6.What is the smaller angle between the hour hand and the minute hand at 12:56? (in degrees) =
- 7.A clock shows 2:19. What time will it show 83 minutes later? (a) 3:42 (b) 4:42 (c) 3:32 (d) 3:52
- 8.A clock shows 7:34. What time will it show 16 minutes later? (a) 8:50 (b) 7:40 (c) 8:00 (d) 7:50
- 9.How many degrees does the minute hand of a clock turn in 26 minutes? =
- 10.How many degrees does the hour hand of a clock turn in 168 minutes? =
- 11.A clock shows 7:18. What time will it show 48 minutes later? (a) 8:16 (b) 9:06 (c) 8:06 (d) 7:56
- 12.How many degrees does the minute hand of a clock turn in 9 minutes? =
- 13.How many degrees does the hour hand of a clock turn in 25 minutes? =
- 14.A clock shows 11:24. What time will it show 28 minutes later? (a) 11:52 (b) 12:02 (c) 11:42 (d) 12:52
- 15.What is the smaller angle between the hour hand and the minute hand at 12:08? (in degrees) =
- 16.What is the smaller angle between the hour hand and the minute hand at 11:04? (in degrees) =
- 17.How many degrees does the minute hand of a clock turn in 53 minutes? =
- 18.A clock shows 6:25. What time will it show 45 minutes later? (a) 7:10 (b) 7:00 (c) 7:20 (d) 8:10
- 19.What is the smaller angle between the hour hand and the minute hand at 10:11? (in degrees) =
- 20.A clock shows 2:35. What time will it show 70 minutes later? (a) 3:45 (b) 4:45 (c) 3:35 (d) 3:55
- 21.A clock shows 6:52. What time will it show 12 minutes later? (a) 7:04 (b) 8:04 (c) 6:54 (d) 7:14
- 22.How many degrees does the minute hand of a clock turn in 55 minutes? =
- 23.What is the smaller angle between the hour hand and the minute hand at 4:39? (in degrees) =
- 24.What is the smaller angle between the hour hand and the minute hand at 4:53? (in degrees) =
- 25.What is the smaller angle between the hour hand and the minute hand at 1:38? (in degrees) =
- 26.A clock shows 4:44. What time will it show 158 minutes later? (a) 7:22 (b) 7:12 (c) 8:22 (d) 7:32
- 27.What is the smaller angle between the hour hand and the minute hand at 10:34? (in degrees) =
- 28.A clock shows 6:31. What time will it show 134 minutes later? (a) 9:45 (b) 8:45 (c) 8:55 (d) 8:35
- 29.A clock shows 10:54. What time will it show 146 minutes later? (a) 1:30 (b) 2:20 (c) 1:10 (d) 1:20
- 30.What is the smaller angle between the hour hand and the minute hand at 11:14? (in degrees) =
- 31.What is the smaller angle between the hour hand and the minute hand at 1:34? (in degrees) =
- 32.A clock shows 8:24. What time will it show 148 minutes later? (a) 11:02 (b) 11:52 (c) 10:42 (d) 10:52
- 33.What is the smaller angle between the hour hand and the minute hand at 3:27? (in degrees) =
- 34.How many degrees does the hour hand of a clock turn in 123 minutes? =
- 35.A clock shows 10:55. What time will it show 149 minutes later? (a) 2:24 (b) 1:14 (c) 1:24 (d) 1:34
- 36.A clock shows 11:37. What time will it show 74 minutes later? (a) 12:51 (b) 1:01 (c) 1:51 (d) 12:41
- 37.A clock shows 5:46. What time will it show 85 minutes later? (a) 7:21 (b) 7:11 (c) 7:01 (d) 8:11
- 38.What is the smaller angle between the hour hand and the minute hand at 8:36? (in degrees) =
- 39.A clock shows 10:40. What time will it show 44 minutes later? (a) 11:14 (b) 11:24 (c) 12:24 (d) 11:34
- 40.What is the smaller angle between the hour hand and the minute hand at 10:16? (in degrees) =
Answer key
- 8.5
- 167.5
- 198
- 45
- 4:48
- 52
- 3:42
- 7:50
- 156
- 84
- 8:06
- 54
- 12.5
- 11:52
- 44
- 52
- 318
- 7:10
- 120.5
- 3:45
- 7:04
- 330
- 94.5
- 171.5
- 179
- 7:22
- 113
- 8:45
- 1:20
- 107
- 157
- 10:52
- 58.5
- 61.5
- 1:24
- 12:51
- 7:11
- 42
- 11:24
- 148
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