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 7:08? (in degrees) =
- 2.What is the smaller angle between the hour hand and the minute hand at 1:16? (in degrees) =
- 3.How many degrees does the hour hand of a clock turn in 100 minutes? =
- 4.How many degrees does the minute hand of a clock turn in 58 minutes? =
- 5.A clock shows 9:51. What time will it show 165 minutes later? (a) 1:36 (b) 12:36 (c) 12:26 (d) 12:46
- 6.What is the smaller angle between the hour hand and the minute hand at 1:13? (in degrees) =
- 7.A clock shows 3:32. What time will it show 102 minutes later? (a) 6:14 (b) 5:14 (c) 5:04 (d) 5:24
- 8.A clock shows 10:48. What time will it show 166 minutes later? (a) 1:34 (b) 2:34 (c) 1:44 (d) 1:24
- 9.A clock shows 3:47. What time will it show 57 minutes later? (a) 4:54 (b) 4:44 (c) 5:44 (d) 4:34
- 10.A clock shows 7:39. What time will it show 90 minutes later? (a) 10:09 (b) 9:19 (c) 8:59 (d) 9:09
- 11.How many degrees does the hour hand of a clock turn in 30 minutes? =
- 12.What is the smaller angle between the hour hand and the minute hand at 2:28? (in degrees) =
- 13.How many degrees does the minute hand of a clock turn in 16 minutes? =
- 14.A clock shows 10:55. What time will it show 38 minutes later? (a) 11:23 (b) 12:33 (c) 11:43 (d) 11:33
- 15.How many degrees does the hour hand of a clock turn in 74 minutes? =
- 16.How many degrees does the minute hand of a clock turn in 14 minutes? =
- 17.A clock shows 6:42. What time will it show 159 minutes later? (a) 10:21 (b) 9:31 (c) 9:21 (d) 9:11
- 18.What is the smaller angle between the hour hand and the minute hand at 4:51? (in degrees) =
- 19.What is the smaller angle between the hour hand and the minute hand at 11:32? (in degrees) =
- 20.A clock shows 2:11. What time will it show 93 minutes later? (a) 3:54 (b) 4:44 (c) 3:34 (d) 3:44
- 21.How many degrees does the hour hand of a clock turn in 45 minutes? =
- 22.How many degrees does the hour hand of a clock turn in 75 minutes? =
- 23.What is the smaller angle between the hour hand and the minute hand at 5:10? (in degrees) =
- 24.A clock shows 1:47. What time will it show 127 minutes later? (a) 4:04 (b) 4:54 (c) 3:44 (d) 3:54
- 25.What is the smaller angle between the hour hand and the minute hand at 3:27? (in degrees) =
- 26.What is the smaller angle between the hour hand and the minute hand at 5:58? (in degrees) =
- 27.What is the smaller angle between the hour hand and the minute hand at 6:19? (in degrees) =
- 28.A clock shows 3:52. What time will it show 17 minutes later? (a) 3:59 (b) 5:09 (c) 4:19 (d) 4:09
- 29.A clock shows 3:34. What time will it show 58 minutes later? (a) 5:32 (b) 4:42 (c) 4:32 (d) 4:22
- 30.How many degrees does the minute hand of a clock turn in 15 minutes? =
- 31.A clock shows 8:06. What time will it show 135 minutes later? (a) 11:21 (b) 10:21 (c) 10:31 (d) 10:11
- 32.A clock shows 12:38. What time will it show 127 minutes later? (a) 2:35 (b) 2:55 (c) 3:45 (d) 2:45
- 33.A clock shows 5:59. What time will it show 40 minutes later? (a) 6:49 (b) 6:29 (c) 6:39 (d) 7:39
- 34.How many degrees does the hour hand of a clock turn in 27 minutes? =
- 35.A clock shows 1:27. What time will it show 11 minutes later? (a) 1:48 (b) 2:38 (c) 1:38 (d) 1:28
- 36.What is the smaller angle between the hour hand and the minute hand at 1:05? (in degrees) =
- 37.A clock shows 1:49. What time will it show 133 minutes later? (a) 5:02 (b) 4:02 (c) 3:52 (d) 4:12
- 38.What is the smaller angle between the hour hand and the minute hand at 8:44? (in degrees) =
- 39.A clock shows 12:34. What time will it show 95 minutes later? (a) 2:19 (b) 3:09 (c) 1:59 (d) 2:09
- 40.What is the smaller angle between the hour hand and the minute hand at 9:24? (in degrees) =
Answer key
- 166
- 58
- 50
- 348
- 12:36
- 41.5
- 5:14
- 1:34
- 4:44
- 9:09
- 15
- 94
- 96
- 11:33
- 37
- 84
- 9:21
- 160.5
- 154
- 3:44
- 22.5
- 37.5
- 95
- 3:54
- 58.5
- 169
- 75.5
- 4:09
- 4:32
- 90
- 10:21
- 2:45
- 6:39
- 13.5
- 1:38
- 2.5
- 4:02
- 2
- 2:09
- 138
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