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 6:03? (in degrees) =
- 2.What is the smaller angle between the hour hand and the minute hand at 8:46? (in degrees) =
- 3.What is the smaller angle between the hour hand and the minute hand at 8:11? (in degrees) =
- 4.What is the smaller angle between the hour hand and the minute hand at 10:25? (in degrees) =
- 5.A clock shows 9:17. What time will it show 74 minutes later? (a) 10:21 (b) 11:31 (c) 10:41 (d) 10:31
- 6.What is the smaller angle between the hour hand and the minute hand at 3:11? (in degrees) =
- 7.What is the smaller angle between the hour hand and the minute hand at 12:28? (in degrees) =
- 8.What is the smaller angle between the hour hand and the minute hand at 7:31? (in degrees) =
- 9.How many degrees does the hour hand of a clock turn in 87 minutes? =
- 10.What is the smaller angle between the hour hand and the minute hand at 12:42? (in degrees) =
- 11.What is the smaller angle between the hour hand and the minute hand at 1:11? (in degrees) =
- 12.What is the smaller angle between the hour hand and the minute hand at 8:26? (in degrees) =
- 13.A clock shows 1:48. What time will it show 159 minutes later? (a) 4:17 (b) 4:27 (c) 5:27 (d) 4:37
- 14.What is the smaller angle between the hour hand and the minute hand at 8:54? (in degrees) =
- 15.A clock shows 6:45. What time will it show 25 minutes later? (a) 8:10 (b) 7:00 (c) 7:10 (d) 7:20
- 16.How many degrees does the minute hand of a clock turn in 36 minutes? =
- 17.A clock shows 12:36. What time will it show 91 minutes later? (a) 1:57 (b) 2:17 (c) 2:07 (d) 3:07
- 18.A clock shows 9:14. What time will it show 90 minutes later? (a) 10:44 (b) 10:54 (c) 10:34 (d) 11:44
- 19.How many degrees does the minute hand of a clock turn in 7 minutes? =
- 20.A clock shows 2:37. What time will it show 163 minutes later? (a) 5:30 (b) 5:20 (c) 6:20 (d) 5:10
- 21.A clock shows 12:55. What time will it show 85 minutes later? (a) 2:10 (b) 2:30 (c) 3:20 (d) 2:20
- 22.How many degrees does the minute hand of a clock turn in 16 minutes? =
- 23.What is the smaller angle between the hour hand and the minute hand at 5:14? (in degrees) =
- 24.What is the smaller angle between the hour hand and the minute hand at 6:51? (in degrees) =
- 25.What is the smaller angle between the hour hand and the minute hand at 5:37? (in degrees) =
- 26.A clock shows 2:59. What time will it show 122 minutes later? (a) 4:51 (b) 5:11 (c) 6:01 (d) 5:01
- 27.What is the smaller angle between the hour hand and the minute hand at 2:56? (in degrees) =
- 28.A clock shows 3:54. What time will it show 24 minutes later? (a) 4:28 (b) 4:08 (c) 5:18 (d) 4:18
- 29.A clock shows 3:22. What time will it show 10 minutes later? (a) 3:42 (b) 4:32 (c) 3:32 (d) 3:22
- 30.A clock shows 12:52. What time will it show 119 minutes later? (a) 3:01 (b) 2:51 (c) 2:41 (d) 3:51
- 31.What is the smaller angle between the hour hand and the minute hand at 2:06? (in degrees) =
- 32.A clock shows 3:41. What time will it show 63 minutes later? (a) 4:34 (b) 4:54 (c) 4:44 (d) 5:44
- 33.What is the smaller angle between the hour hand and the minute hand at 4:43? (in degrees) =
- 34.How many degrees does the minute hand of a clock turn in 20 minutes? =
- 35.How many degrees does the hour hand of a clock turn in 107 minutes? =
- 36.How many degrees does the hour hand of a clock turn in 164 minutes? =
- 37.How many degrees does the minute hand of a clock turn in 50 minutes? =
- 38.A clock shows 5:38. What time will it show 60 minutes later? (a) 6:28 (b) 7:38 (c) 6:48 (d) 6:38
- 39.A clock shows 2:11. What time will it show 57 minutes later? (a) 3:18 (b) 3:08 (c) 4:08 (d) 2:58
- 40.How many degrees does the minute hand of a clock turn in 14 minutes? =
Answer key
- 163.5
- 13
- 179.5
- 162.5
- 10:31
- 29.5
- 154
- 39.5
- 43.5
- 129
- 30.5
- 97
- 4:27
- 57
- 7:10
- 216
- 2:07
- 10:44
- 42
- 5:20
- 2:20
- 96
- 73
- 100.5
- 53.5
- 5:01
- 112
- 4:18
- 3:32
- 2:51
- 27
- 4:44
- 116.5
- 120
- 53.5
- 82
- 300
- 6:38
- 3:08
- 84
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