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 9:14? (in degrees) =
- 2.How many degrees does the minute hand of a clock turn in 56 minutes? =
- 3.A clock shows 2:01. What time will it show 28 minutes later? (a) 2:29 (b) 3:29 (c) 2:19 (d) 2:39
- 4.A clock shows 11:03. What time will it show 38 minutes later? (a) 11:51 (b) 12:41 (c) 11:41 (d) 11:31
- 5.What is the smaller angle between the hour hand and the minute hand at 10:27? (in degrees) =
- 6.A clock shows 6:36. What time will it show 23 minutes later? (a) 6:59 (b) 7:59 (c) 6:49 (d) 7:09
- 7.How many degrees does the hour hand of a clock turn in 91 minutes? =
- 8.How many degrees does the minute hand of a clock turn in 8 minutes? =
- 9.What is the smaller angle between the hour hand and the minute hand at 4:33? (in degrees) =
- 10.How many degrees does the hour hand of a clock turn in 163 minutes? =
- 11.A clock shows 3:38. What time will it show 34 minutes later? (a) 4:22 (b) 4:02 (c) 5:12 (d) 4:12
- 12.What is the smaller angle between the hour hand and the minute hand at 10:05? (in degrees) =
- 13.How many degrees does the hour hand of a clock turn in 145 minutes? =
- 14.How many degrees does the hour hand of a clock turn in 38 minutes? =
- 15.What is the smaller angle between the hour hand and the minute hand at 7:54? (in degrees) =
- 16.A clock shows 7:15. What time will it show 79 minutes later? (a) 9:34 (b) 8:24 (c) 8:44 (d) 8:34
- 17.How many degrees does the hour hand of a clock turn in 16 minutes? =
- 18.How many degrees does the minute hand of a clock turn in 27 minutes? =
- 19.What is the smaller angle between the hour hand and the minute hand at 4:51? (in degrees) =
- 20.How many degrees does the hour hand of a clock turn in 116 minutes? =
- 21.A clock shows 6:40. What time will it show 33 minutes later? (a) 7:03 (b) 7:23 (c) 8:13 (d) 7:13
- 22.A clock shows 7:23. What time will it show 129 minutes later? (a) 10:32 (b) 9:42 (c) 9:22 (d) 9:32
- 23.What is the smaller angle between the hour hand and the minute hand at 11:04? (in degrees) =
- 24.A clock shows 9:57. What time will it show 147 minutes later? (a) 1:24 (b) 12:14 (c) 12:24 (d) 12:34
- 25.How many degrees does the hour hand of a clock turn in 40 minutes? =
- 26.A clock shows 12:08. What time will it show 114 minutes later? (a) 3:02 (b) 2:02 (c) 2:12 (d) 1:52
- 27.How many degrees does the hour hand of a clock turn in 36 minutes? =
- 28.What is the smaller angle between the hour hand and the minute hand at 7:14? (in degrees) =
- 29.A clock shows 9:16. What time will it show 155 minutes later? (a) 12:01 (b) 11:51 (c) 11:41 (d) 12:51
- 30.How many degrees does the minute hand of a clock turn in 18 minutes? =
- 31.What is the smaller angle between the hour hand and the minute hand at 3:10? (in degrees) =
- 32.A clock shows 12:38. What time will it show 117 minutes later? (a) 2:45 (b) 2:35 (c) 2:25 (d) 3:35
- 33.A clock shows 9:31. What time will it show 127 minutes later? (a) 12:38 (b) 11:28 (c) 11:48 (d) 11:38
- 34.How many degrees does the minute hand of a clock turn in 30 minutes? =
- 35.How many degrees does the hour hand of a clock turn in 30 minutes? =
- 36.A clock shows 12:10. What time will it show 24 minutes later? (a) 12:34 (b) 12:24 (c) 12:44 (d) 1:34
- 37.How many degrees does the hour hand of a clock turn in 82 minutes? =
- 38.What is the smaller angle between the hour hand and the minute hand at 3:02? (in degrees) =
- 39.How many degrees does the minute hand of a clock turn in 15 minutes? =
- 40.How many degrees does the minute hand of a clock turn in 14 minutes? =
Answer key
- 167
- 336
- 2:29
- 11:41
- 151.5
- 6:59
- 45.5
- 48
- 61.5
- 81.5
- 4:12
- 87.5
- 72.5
- 19
- 87
- 8:34
- 8
- 162
- 160.5
- 58
- 7:13
- 9:32
- 52
- 12:24
- 20
- 2:02
- 18
- 133
- 11:51
- 108
- 35
- 2:35
- 11:38
- 180
- 15
- 12:34
- 41
- 79
- 90
- 84
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