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 minute hand of a clock turn in 21 minutes? =
- 2.What is the smaller angle between the hour hand and the minute hand at 12:32? (in degrees) =
- 3.What is the smaller angle between the hour hand and the minute hand at 4:24? (in degrees) =
- 4.What is the smaller angle between the hour hand and the minute hand at 10:10? (in degrees) =
- 5.What is the smaller angle between the hour hand and the minute hand at 12:55? (in degrees) =
- 6.A clock shows 8:44. What time will it show 148 minutes later? (a) 11:12 (b) 12:12 (c) 11:02 (d) 11:22
- 7.What is the smaller angle between the hour hand and the minute hand at 3:04? (in degrees) =
- 8.A clock shows 8:08. What time will it show 35 minutes later? (a) 8:33 (b) 9:43 (c) 8:53 (d) 8:43
- 9.A clock shows 1:40. What time will it show 33 minutes later? (a) 2:03 (b) 2:23 (c) 3:13 (d) 2:13
- 10.How many degrees does the minute hand of a clock turn in 24 minutes? =
- 11.How many degrees does the minute hand of a clock turn in 43 minutes? =
- 12.How many degrees does the hour hand of a clock turn in 95 minutes? =
- 13.What is the smaller angle between the hour hand and the minute hand at 1:27? (in degrees) =
- 14.How many degrees does the hour hand of a clock turn in 66 minutes? =
- 15.How many degrees does the minute hand of a clock turn in 35 minutes? =
- 16.A clock shows 7:58. What time will it show 38 minutes later? (a) 8:46 (b) 8:26 (c) 8:36 (d) 9:36
- 17.How many degrees does the hour hand of a clock turn in 21 minutes? =
- 18.A clock shows 2:28. What time will it show 148 minutes later? (a) 4:56 (b) 5:56 (c) 5:06 (d) 4:46
- 19.How many degrees does the minute hand of a clock turn in 36 minutes? =
- 20.A clock shows 3:40. What time will it show 27 minutes later? (a) 4:17 (b) 3:57 (c) 5:07 (d) 4:07
- 21.A clock shows 8:53. What time will it show 157 minutes later? (a) 11:40 (b) 11:30 (c) 12:30 (d) 11:20
- 22.A clock shows 7:57. What time will it show 141 minutes later? (a) 10:28 (b) 10:08 (c) 11:18 (d) 10:18
- 23.How many degrees does the hour hand of a clock turn in 168 minutes? =
- 24.What is the smaller angle between the hour hand and the minute hand at 12:56? (in degrees) =
- 25.A clock shows 7:43. What time will it show 98 minutes later? (a) 9:11 (b) 9:31 (c) 9:21 (d) 10:21
- 26.How many degrees does the minute hand of a clock turn in 22 minutes? =
- 27.How many degrees does the minute hand of a clock turn in 17 minutes? =
- 28.A clock shows 1:55. What time will it show 58 minutes later? (a) 2:43 (b) 3:03 (c) 3:53 (d) 2:53
- 29.How many degrees does the hour hand of a clock turn in 52 minutes? =
- 30.How many degrees does the hour hand of a clock turn in 107 minutes? =
- 31.How many degrees does the minute hand of a clock turn in 59 minutes? =
- 32.What is the smaller angle between the hour hand and the minute hand at 6:52? (in degrees) =
- 33.How many degrees does the minute hand of a clock turn in 40 minutes? =
- 34.What is the smaller angle between the hour hand and the minute hand at 12:22? (in degrees) =
- 35.What is the smaller angle between the hour hand and the minute hand at 10:05? (in degrees) =
- 36.What is the smaller angle between the hour hand and the minute hand at 5:11? (in degrees) =
- 37.What is the smaller angle between the hour hand and the minute hand at 3:43? (in degrees) =
- 38.What is the smaller angle between the hour hand and the minute hand at 6:32? (in degrees) =
- 39.What is the smaller angle between the hour hand and the minute hand at 9:08? (in degrees) =
- 40.How many degrees does the hour hand of a clock turn in 12 minutes? =
Answer key
- 126
- 176
- 12
- 115
- 57.5
- 11:12
- 68
- 8:43
- 2:13
- 144
- 258
- 47.5
- 118.5
- 33
- 210
- 8:36
- 10.5
- 4:56
- 216
- 4:07
- 11:30
- 10:18
- 84
- 52
- 9:21
- 132
- 102
- 2:53
- 26
- 53.5
- 354
- 106
- 240
- 121
- 87.5
- 89.5
- 146.5
- 4
- 134
- 6
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