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 10:27? (in degrees) =
- 2.How many degrees does the minute hand of a clock turn in 52 minutes? =
- 3.What is the smaller angle between the hour hand and the minute hand at 1:50? (in degrees) =
- 4.How many degrees does the minute hand of a clock turn in 17 minutes? =
- 5.A clock shows 4:25. What time will it show 21 minutes later? (a) 4:36 (b) 5:46 (c) 4:56 (d) 4:46
- 6.What is the smaller angle between the hour hand and the minute hand at 7:29? (in degrees) =
- 7.How many degrees does the minute hand of a clock turn in 58 minutes? =
- 8.A clock shows 1:52. What time will it show 87 minutes later? (a) 3:19 (b) 3:09 (c) 4:19 (d) 3:29
- 9.How many degrees does the hour hand of a clock turn in 137 minutes? =
- 10.A clock shows 12:03. What time will it show 92 minutes later? (a) 1:25 (b) 1:45 (c) 1:35 (d) 2:35
- 11.A clock shows 2:40. What time will it show 135 minutes later? (a) 4:45 (b) 5:55 (c) 5:05 (d) 4:55
- 12.A clock shows 10:15. What time will it show 125 minutes later? (a) 12:30 (b) 12:20 (c) 1:20 (d) 12:10
- 13.How many degrees does the hour hand of a clock turn in 48 minutes? =
- 14.A clock shows 8:57. What time will it show 24 minutes later? (a) 10:21 (b) 9:11 (c) 9:21 (d) 9:31
- 15.What is the smaller angle between the hour hand and the minute hand at 2:15? (in degrees) =
- 16.How many degrees does the minute hand of a clock turn in 40 minutes? =
- 17.How many degrees does the hour hand of a clock turn in 132 minutes? =
- 18.What is the smaller angle between the hour hand and the minute hand at 4:37? (in degrees) =
- 19.How many degrees does the minute hand of a clock turn in 36 minutes? =
- 20.A clock shows 5:27. What time will it show 47 minutes later? (a) 6:14 (b) 6:24 (c) 7:14 (d) 6:04
- 21.A clock shows 3:20. What time will it show 78 minutes later? (a) 4:28 (b) 4:48 (c) 4:38 (d) 5:38
- 22.A clock shows 5:09. What time will it show 44 minutes later? (a) 6:53 (b) 5:43 (c) 5:53 (d) 6:03
- 23.A clock shows 7:17. What time will it show 49 minutes later? (a) 8:16 (b) 7:56 (c) 8:06 (d) 9:06
- 24.A clock shows 1:02. What time will it show 31 minutes later? (a) 1:33 (b) 1:43 (c) 2:33 (d) 1:23
- 25.A clock shows 7:32. What time will it show 36 minutes later? (a) 8:18 (b) 9:08 (c) 8:08 (d) 7:58
- 26.A clock shows 6:30. What time will it show 14 minutes later? (a) 6:44 (b) 6:34 (c) 7:44 (d) 6:54
- 27.A clock shows 3:25. What time will it show 20 minutes later? (a) 3:55 (b) 3:35 (c) 3:45 (d) 4:45
- 28.A clock shows 9:29. What time will it show 164 minutes later? (a) 12:13 (b) 12:23 (c) 12:03 (d) 1:13
- 29.What is the smaller angle between the hour hand and the minute hand at 3:48? (in degrees) =
- 30.What is the smaller angle between the hour hand and the minute hand at 8:14? (in degrees) =
- 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 5:48? (in degrees) =
- 33.How many degrees does the hour hand of a clock turn in 110 minutes? =
- 34.How many degrees does the minute hand of a clock turn in 56 minutes? =
- 35.A clock shows 10:44. What time will it show 41 minutes later? (a) 11:35 (b) 12:25 (c) 11:15 (d) 11:25
- 36.A clock shows 2:43. What time will it show 82 minutes later? (a) 4:15 (b) 5:05 (c) 4:05 (d) 3:55
- 37.What is the smaller angle between the hour hand and the minute hand at 12:07? (in degrees) =
- 38.A clock shows 6:51. What time will it show 116 minutes later? (a) 8:37 (b) 8:47 (c) 9:47 (d) 8:57
- 39.What is the smaller angle between the hour hand and the minute hand at 10:39? (in degrees) =
- 40.What is the smaller angle between the hour hand and the minute hand at 10:56? (in degrees) =
Answer key
- 151.5
- 312
- 115
- 102
- 4:46
- 50.5
- 348
- 3:19
- 68.5
- 1:35
- 4:55
- 12:20
- 24
- 9:21
- 22.5
- 240
- 66
- 83.5
- 216
- 6:14
- 4:38
- 5:53
- 8:06
- 1:33
- 8:08
- 6:44
- 3:45
- 12:13
- 174
- 163
- 354
- 114
- 55
- 336
- 11:25
- 4:05
- 38.5
- 8:47
- 85.5
- 8
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