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.A clock shows 4:24. What time will it show 112 minutes later? (a) 7:16 (b) 6:06 (c) 6:16 (d) 6:26
- 2.What is the smaller angle between the hour hand and the minute hand at 11:10? (in degrees) =
- 3.How many degrees does the minute hand of a clock turn in 13 minutes? =
- 4.A clock shows 9:51. What time will it show 23 minutes later? (a) 10:14 (b) 10:04 (c) 11:14 (d) 10:24
- 5.What is the smaller angle between the hour hand and the minute hand at 3:16? (in degrees) =
- 6.How many degrees does the hour hand of a clock turn in 129 minutes? =
- 7.How many degrees does the minute hand of a clock turn in 56 minutes? =
- 8.What is the smaller angle between the hour hand and the minute hand at 2:42? (in degrees) =
- 9.How many degrees does the minute hand of a clock turn in 30 minutes? =
- 10.How many degrees does the hour hand of a clock turn in 25 minutes? =
- 11.A clock shows 10:17. What time will it show 146 minutes later? (a) 1:43 (b) 12:53 (c) 12:33 (d) 12:43
- 12.What is the smaller angle between the hour hand and the minute hand at 6:22? (in degrees) =
- 13.How many degrees does the minute hand of a clock turn in 24 minutes? =
- 14.How many degrees does the hour hand of a clock turn in 88 minutes? =
- 15.A clock shows 3:02. What time will it show 40 minutes later? (a) 4:42 (b) 3:32 (c) 3:42 (d) 3:52
- 16.What is the smaller angle between the hour hand and the minute hand at 12:54? (in degrees) =
- 17.What is the smaller angle between the hour hand and the minute hand at 6:53? (in degrees) =
- 18.What is the smaller angle between the hour hand and the minute hand at 6:55? (in degrees) =
- 19.How many degrees does the minute hand of a clock turn in 40 minutes? =
- 20.A clock shows 8:09. What time will it show 120 minutes later? (a) 11:09 (b) 9:59 (c) 10:09 (d) 10:19
- 21.What is the smaller angle between the hour hand and the minute hand at 10:57? (in degrees) =
- 22.A clock shows 12:56. What time will it show 14 minutes later? (a) 2:10 (b) 1:20 (c) 1:10 (d) 1:00
- 23.How many degrees does the hour hand of a clock turn in 99 minutes? =
- 24.How many degrees does the minute hand of a clock turn in 11 minutes? =
- 25.What is the smaller angle between the hour hand and the minute hand at 2:21? (in degrees) =
- 26.A clock shows 7:38. What time will it show 108 minutes later? (a) 9:36 (b) 10:26 (c) 9:16 (d) 9:26
- 27.How many degrees does the minute hand of a clock turn in 36 minutes? =
- 28.What is the smaller angle between the hour hand and the minute hand at 5:44? (in degrees) =
- 29.A clock shows 3:53. What time will it show 64 minutes later? (a) 4:57 (b) 5:07 (c) 5:57 (d) 4:47
- 30.How many degrees does the hour hand of a clock turn in 157 minutes? =
- 31.How many degrees does the minute hand of a clock turn in 8 minutes? =
- 32.A clock shows 10:13. What time will it show 84 minutes later? (a) 11:27 (b) 11:37 (c) 11:47 (d) 12:37
- 33.How many degrees does the minute hand of a clock turn in 54 minutes? =
- 34.A clock shows 11:00. What time will it show 37 minutes later? (a) 11:47 (b) 11:37 (c) 12:37 (d) 11:27
- 35.How many degrees does the hour hand of a clock turn in 20 minutes? =
- 36.What is the smaller angle between the hour hand and the minute hand at 11:40? (in degrees) =
- 37.A clock shows 9:40. What time will it show 13 minutes later? (a) 9:53 (b) 10:03 (c) 10:53 (d) 9:43
- 38.A clock shows 5:03. What time will it show 22 minutes later? (a) 6:25 (b) 5:15 (c) 5:25 (d) 5:35
- 39.How many degrees does the minute hand of a clock turn in 20 minutes? =
- 40.A clock shows 7:58. What time will it show 25 minutes later? (a) 8:13 (b) 8:23 (c) 8:33 (d) 9:23
Answer key
- 6:16
- 85
- 78
- 10:14
- 2
- 64.5
- 336
- 171
- 180
- 12.5
- 12:43
- 59
- 144
- 44
- 3:42
- 63
- 111.5
- 122.5
- 240
- 10:09
- 13.5
- 1:10
- 49.5
- 66
- 55.5
- 9:26
- 216
- 92
- 4:57
- 78.5
- 48
- 11:37
- 324
- 11:37
- 10
- 110
- 9:53
- 5:25
- 120
- 8:23
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