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.How many degrees does the hour hand of a clock turn in 80 minutes? =
- 2.How many degrees does the minute hand of a clock turn in 12 minutes? =
- 3.A clock shows 9:35. What time will it show 88 minutes later? (a) 11:03 (b) 12:03 (c) 10:53 (d) 11:13
- 4.What is the smaller angle between the hour hand and the minute hand at 4:21? (in degrees) =
- 5.How many degrees does the hour hand of a clock turn in 130 minutes? =
- 6.What is the smaller angle between the hour hand and the minute hand at 8:58? (in degrees) =
- 7.How many degrees does the hour hand of a clock turn in 18 minutes? =
- 8.A clock shows 3:14. What time will it show 137 minutes later? (a) 5:31 (b) 5:41 (c) 6:31 (d) 5:21
- 9.A clock shows 2:03. What time will it show 164 minutes later? (a) 4:37 (b) 5:47 (c) 4:47 (d) 4:57
- 10.How many degrees does the hour hand of a clock turn in 135 minutes? =
- 11.A clock shows 2:50. What time will it show 126 minutes later? (a) 5:56 (b) 4:46 (c) 5:06 (d) 4:56
- 12.What is the smaller angle between the hour hand and the minute hand at 4:13? (in degrees) =
- 13.How many degrees does the hour hand of a clock turn in 47 minutes? =
- 14.A clock shows 4:37. What time will it show 163 minutes later? (a) 7:10 (b) 8:20 (c) 7:20 (d) 7:30
- 15.A clock shows 5:09. What time will it show 105 minutes later? (a) 7:54 (b) 7:04 (c) 6:44 (d) 6:54
- 16.What is the smaller angle between the hour hand and the minute hand at 1:33? (in degrees) =
- 17.How many degrees does the minute hand of a clock turn in 43 minutes? =
- 18.A clock shows 3:39. What time will it show 133 minutes later? (a) 5:42 (b) 6:52 (c) 6:02 (d) 5:52
- 19.A clock shows 9:14. What time will it show 94 minutes later? (a) 11:48 (b) 10:38 (c) 10:48 (d) 10:58
- 20.A clock shows 10:59. What time will it show 92 minutes later? (a) 12:21 (b) 12:41 (c) 1:31 (d) 12:31
- 21.A clock shows 5:21. What time will it show 58 minutes later? (a) 7:19 (b) 6:29 (c) 6:09 (d) 6:19
- 22.How many degrees does the hour hand of a clock turn in 40 minutes? =
- 23.What is the smaller angle between the hour hand and the minute hand at 12:16? (in degrees) =
- 24.A clock shows 1:27. What time will it show 24 minutes later? (a) 1:51 (b) 2:51 (c) 1:41 (d) 2:01
- 25.How many degrees does the hour hand of a clock turn in 102 minutes? =
- 26.A clock shows 10:11. What time will it show 157 minutes later? (a) 12:38 (b) 12:48 (c) 12:58 (d) 1:48
- 27.A clock shows 9:15. What time will it show 162 minutes later? (a) 12:57 (b) 12:07 (c) 11:57 (d) 11:47
- 28.How many degrees does the minute hand of a clock turn in 20 minutes? =
- 29.A clock shows 9:59. What time will it show 82 minutes later? (a) 11:21 (b) 12:21 (c) 11:11 (d) 11:31
- 30.A clock shows 10:52. What time will it show 159 minutes later? (a) 1:21 (b) 2:31 (c) 1:31 (d) 1:41
- 31.How many degrees does the minute hand of a clock turn in 5 minutes? =
- 32.A clock shows 10:49. What time will it show 167 minutes later? (a) 1:26 (b) 1:46 (c) 1:36 (d) 2:36
- 33.A clock shows 4:59. What time will it show 89 minutes later? (a) 6:28 (b) 6:18 (c) 6:38 (d) 7:28
- 34.What is the smaller angle between the hour hand and the minute hand at 10:51? (in degrees) =
- 35.A clock shows 6:51. What time will it show 108 minutes later? (a) 8:29 (b) 8:39 (c) 8:49 (d) 9:39
- 36.What is the smaller angle between the hour hand and the minute hand at 5:50? (in degrees) =
- 37.How many degrees does the minute hand of a clock turn in 33 minutes? =
- 38.What is the smaller angle between the hour hand and the minute hand at 1:48? (in degrees) =
- 39.What is the smaller angle between the hour hand and the minute hand at 8:06? (in degrees) =
- 40.How many degrees does the minute hand of a clock turn in 51 minutes? =
Answer key
- 40
- 72
- 11:03
- 4.5
- 65
- 79
- 9
- 5:31
- 4:47
- 67.5
- 4:56
- 48.5
- 23.5
- 7:20
- 6:54
- 151.5
- 258
- 5:52
- 10:48
- 12:31
- 6:19
- 20
- 88
- 1:51
- 51
- 12:48
- 11:57
- 120
- 11:21
- 1:31
- 30
- 1:36
- 6:28
- 19.5
- 8:39
- 125
- 198
- 126
- 153
- 306
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