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 2:48? (in degrees) =
- 2.What is the smaller angle between the hour hand and the minute hand at 12:22? (in degrees) =
- 3.How many degrees does the minute hand of a clock turn in 4 minutes? =
- 4.What is the smaller angle between the hour hand and the minute hand at 2:46? (in degrees) =
- 5.How many degrees does the hour hand of a clock turn in 114 minutes? =
- 6.What is the smaller angle between the hour hand and the minute hand at 4:58? (in degrees) =
- 7.A clock shows 6:47. What time will it show 107 minutes later? (a) 8:44 (b) 8:24 (c) 9:34 (d) 8:34
- 8.A clock shows 2:27. What time will it show 107 minutes later? (a) 4:04 (b) 4:14 (c) 4:24 (d) 5:14
- 9.How many degrees does the minute hand of a clock turn in 24 minutes? =
- 10.How many degrees does the hour hand of a clock turn in 133 minutes? =
- 11.How many degrees does the minute hand of a clock turn in 14 minutes? =
- 12.How many degrees does the minute hand of a clock turn in 29 minutes? =
- 13.How many degrees does the hour hand of a clock turn in 154 minutes? =
- 14.What is the smaller angle between the hour hand and the minute hand at 6:39? (in degrees) =
- 15.A clock shows 8:26. What time will it show 33 minutes later? (a) 9:59 (b) 8:59 (c) 8:49 (d) 9:09
- 16.A clock shows 11:54. What time will it show 169 minutes later? (a) 2:53 (b) 2:43 (c) 2:33 (d) 3:43
- 17.How many degrees does the minute hand of a clock turn in 18 minutes? =
- 18.What is the smaller angle between the hour hand and the minute hand at 7:44? (in degrees) =
- 19.A clock shows 8:58. What time will it show 114 minutes later? (a) 10:52 (b) 10:42 (c) 11:02 (d) 11:52
- 20.What is the smaller angle between the hour hand and the minute hand at 12:47? (in degrees) =
- 21.A clock shows 5:28. What time will it show 24 minutes later? (a) 6:52 (b) 5:52 (c) 5:42 (d) 6:02
- 22.A clock shows 6:56. What time will it show 92 minutes later? (a) 8:18 (b) 8:38 (c) 8:28 (d) 9:28
- 23.What is the smaller angle between the hour hand and the minute hand at 4:51? (in degrees) =
- 24.What is the smaller angle between the hour hand and the minute hand at 5:41? (in degrees) =
- 25.What is the smaller angle between the hour hand and the minute hand at 8:55? (in degrees) =
- 26.A clock shows 1:44. What time will it show 74 minutes later? (a) 3:58 (b) 2:48 (c) 2:58 (d) 3:08
- 27.A clock shows 2:04. What time will it show 81 minutes later? (a) 3:35 (b) 3:25 (c) 4:25 (d) 3:15
- 28.A clock shows 2:53. What time will it show 16 minutes later? (a) 3:19 (b) 3:09 (c) 2:59 (d) 4:09
- 29.How many degrees does the hour hand of a clock turn in 134 minutes? =
- 30.What is the smaller angle between the hour hand and the minute hand at 9:26? (in degrees) =
- 31.What is the smaller angle between the hour hand and the minute hand at 11:02? (in degrees) =
- 32.How many degrees does the minute hand of a clock turn in 39 minutes? =
- 33.What is the smaller angle between the hour hand and the minute hand at 2:15? (in degrees) =
- 34.What is the smaller angle between the hour hand and the minute hand at 12:43? (in degrees) =
- 35.What is the smaller angle between the hour hand and the minute hand at 9:30? (in degrees) =
- 36.A clock shows 7:35. What time will it show 10 minutes later? (a) 7:55 (b) 7:35 (c) 8:45 (d) 7:45
- 37.How many degrees does the hour hand of a clock turn in 135 minutes? =
- 38.What is the smaller angle between the hour hand and the minute hand at 11:38? (in degrees) =
- 39.What is the smaller angle between the hour hand and the minute hand at 6:57? (in degrees) =
- 40.What is the smaller angle between the hour hand and the minute hand at 4:50? (in degrees) =
Answer key
- 156
- 121
- 24
- 167
- 57
- 161
- 8:34
- 4:14
- 144
- 66.5
- 84
- 174
- 77
- 34.5
- 8:59
- 2:43
- 108
- 32
- 10:52
- 101.5
- 5:52
- 8:28
- 160.5
- 75.5
- 62.5
- 2:58
- 3:25
- 3:09
- 67
- 127
- 41
- 234
- 22.5
- 123.5
- 105
- 7:45
- 67.5
- 121
- 133.5
- 155
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