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 6:12? (in degrees) =
- 2.What is the smaller angle between the hour hand and the minute hand at 3:57? (in degrees) =
- 3.How many degrees does the minute hand of a clock turn in 7 minutes? =
- 4.How many degrees does the hour hand of a clock turn in 134 minutes? =
- 5.How many degrees does the minute hand of a clock turn in 38 minutes? =
- 6.What is the smaller angle between the hour hand and the minute hand at 3:05? (in degrees) =
- 7.A clock shows 3:32. What time will it show 54 minutes later? (a) 5:26 (b) 4:36 (c) 4:16 (d) 4:26
- 8.How many degrees does the hour hand of a clock turn in 38 minutes? =
- 9.A clock shows 4:55. What time will it show 111 minutes later? (a) 6:46 (b) 7:46 (c) 6:36 (d) 6:56
- 10.What is the smaller angle between the hour hand and the minute hand at 9:25? (in degrees) =
- 11.A clock shows 2:30. What time will it show 25 minutes later? (a) 2:55 (b) 2:45 (c) 3:05 (d) 3:55
- 12.What is the smaller angle between the hour hand and the minute hand at 8:54? (in degrees) =
- 13.How many degrees does the minute hand of a clock turn in 57 minutes? =
- 14.A clock shows 4:02. What time will it show 103 minutes later? (a) 5:55 (b) 6:45 (c) 5:35 (d) 5:45
- 15.What is the smaller angle between the hour hand and the minute hand at 9:23? (in degrees) =
- 16.A clock shows 5:07. What time will it show 81 minutes later? (a) 6:18 (b) 6:38 (c) 7:28 (d) 6:28
- 17.A clock shows 12:58. What time will it show 86 minutes later? (a) 2:14 (b) 3:24 (c) 2:24 (d) 2:34
- 18.A clock shows 9:56. What time will it show 39 minutes later? (a) 10:25 (b) 11:35 (c) 10:45 (d) 10:35
- 19.A clock shows 4:39. What time will it show 144 minutes later? (a) 8:03 (b) 7:13 (c) 6:53 (d) 7:03
- 20.What is the smaller angle between the hour hand and the minute hand at 7:17? (in degrees) =
- 21.How many degrees does the hour hand of a clock turn in 56 minutes? =
- 22.What is the smaller angle between the hour hand and the minute hand at 10:50? (in degrees) =
- 23.A clock shows 4:48. What time will it show 57 minutes later? (a) 5:45 (b) 5:35 (c) 6:45 (d) 5:55
- 24.A clock shows 4:10. What time will it show 147 minutes later? (a) 6:27 (b) 6:47 (c) 6:37 (d) 7:37
- 25.How many degrees does the hour hand of a clock turn in 151 minutes? =
- 26.How many degrees does the minute hand of a clock turn in 13 minutes? =
- 27.A clock shows 5:04. What time will it show 12 minutes later? (a) 5:16 (b) 6:16 (c) 5:06 (d) 5:26
- 28.How many degrees does the minute hand of a clock turn in 24 minutes? =
- 29.How many degrees does the hour hand of a clock turn in 45 minutes? =
- 30.A clock shows 4:20. What time will it show 112 minutes later? (a) 7:12 (b) 6:02 (c) 6:22 (d) 6:12
- 31.A clock shows 9:59. What time will it show 19 minutes later? (a) 11:18 (b) 10:08 (c) 10:28 (d) 10:18
- 32.A clock shows 11:36. What time will it show 80 minutes later? (a) 12:56 (b) 1:56 (c) 1:06 (d) 12:46
- 33.A clock shows 1:54. What time will it show 115 minutes later? (a) 4:49 (b) 3:39 (c) 3:59 (d) 3:49
- 34.How many degrees does the hour hand of a clock turn in 167 minutes? =
- 35.A clock shows 5:27. What time will it show 14 minutes later? (a) 5:41 (b) 5:51 (c) 6:41 (d) 5:31
- 36.A clock shows 5:22. What time will it show 99 minutes later? (a) 8:01 (b) 7:11 (c) 6:51 (d) 7:01
- 37.How many degrees does the hour hand of a clock turn in 32 minutes? =
- 38.A clock shows 8:02. What time will it show 75 minutes later? (a) 9:27 (b) 9:17 (c) 9:07 (d) 10:17
- 39.How many degrees does the minute hand of a clock turn in 8 minutes? =
- 40.What is the smaller angle between the hour hand and the minute hand at 2:05? (in degrees) =
Answer key
- 114
- 136.5
- 42
- 67
- 228
- 62.5
- 4:26
- 19
- 6:46
- 132.5
- 2:55
- 57
- 342
- 5:45
- 143.5
- 6:28
- 2:24
- 10:35
- 7:03
- 116.5
- 28
- 25
- 5:45
- 6:37
- 75.5
- 78
- 5:16
- 144
- 22.5
- 6:12
- 10:18
- 12:56
- 3:49
- 83.5
- 5:41
- 7:01
- 16
- 9:17
- 48
- 32.5
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