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 35 minutes? =
- 2.A clock shows 10:44. What time will it show 114 minutes later? (a) 12:48 (b) 1:38 (c) 12:38 (d) 12:28
- 3.What is the smaller angle between the hour hand and the minute hand at 3:29? (in degrees) =
- 4.A clock shows 7:28. What time will it show 60 minutes later? (a) 8:18 (b) 9:28 (c) 8:38 (d) 8:28
- 5.A clock shows 9:21. What time will it show 82 minutes later? (a) 10:43 (b) 10:33 (c) 11:43 (d) 10:53
- 6.A clock shows 10:50. What time will it show 36 minutes later? (a) 11:36 (b) 11:16 (c) 12:26 (d) 11:26
- 7.A clock shows 4:07. What time will it show 67 minutes later? (a) 5:04 (b) 6:14 (c) 5:24 (d) 5:14
- 8.What is the smaller angle between the hour hand and the minute hand at 7:15? (in degrees) =
- 9.How many degrees does the minute hand of a clock turn in 15 minutes? =
- 10.What is the smaller angle between the hour hand and the minute hand at 1:40? (in degrees) =
- 11.How many degrees does the hour hand of a clock turn in 108 minutes? =
- 12.What is the smaller angle between the hour hand and the minute hand at 2:28? (in degrees) =
- 13.A clock shows 7:17. What time will it show 99 minutes later? (a) 9:56 (b) 8:56 (c) 9:06 (d) 8:46
- 14.What is the smaller angle between the hour hand and the minute hand at 4:23? (in degrees) =
- 15.How many degrees does the minute hand of a clock turn in 23 minutes? =
- 16.A clock shows 4:09. What time will it show 123 minutes later? (a) 6:12 (b) 6:02 (c) 7:12 (d) 6:22
- 17.How many degrees does the minute hand of a clock turn in 46 minutes? =
- 18.What is the smaller angle between the hour hand and the minute hand at 10:55? (in degrees) =
- 19.How many degrees does the minute hand of a clock turn in 58 minutes? =
- 20.What is the smaller angle between the hour hand and the minute hand at 2:21? (in degrees) =
- 21.What is the smaller angle between the hour hand and the minute hand at 3:08? (in degrees) =
- 22.How many degrees does the hour hand of a clock turn in 100 minutes? =
- 23.What is the smaller angle between the hour hand and the minute hand at 8:45? (in degrees) =
- 24.A clock shows 4:31. What time will it show 83 minutes later? (a) 6:04 (b) 5:44 (c) 6:54 (d) 5:54
- 25.A clock shows 9:02. What time will it show 17 minutes later? (a) 9:29 (b) 10:19 (c) 9:19 (d) 9:09
- 26.A clock shows 11:16. What time will it show 21 minutes later? (a) 11:27 (b) 11:47 (c) 12:37 (d) 11:37
- 27.A clock shows 1:39. What time will it show 68 minutes later? (a) 3:47 (b) 2:37 (c) 2:57 (d) 2:47
- 28.A clock shows 2:43. What time will it show 33 minutes later? (a) 3:26 (b) 3:06 (c) 3:16 (d) 4:16
- 29.How many degrees does the hour hand of a clock turn in 171 minutes? =
- 30.A clock shows 5:16. What time will it show 57 minutes later? (a) 6:03 (b) 6:23 (c) 7:13 (d) 6:13
- 31.How many degrees does the minute hand of a clock turn in 4 minutes? =
- 32.A clock shows 9:52. What time will it show 127 minutes later? (a) 11:59 (b) 11:49 (c) 12:09 (d) 12:59
- 33.What is the smaller angle between the hour hand and the minute hand at 5:37? (in degrees) =
- 34.How many degrees does the minute hand of a clock turn in 34 minutes? =
- 35.A clock shows 4:02. What time will it show 152 minutes later? (a) 7:34 (b) 6:24 (c) 6:34 (d) 6:44
- 36.What is the smaller angle between the hour hand and the minute hand at 10:02? (in degrees) =
- 37.A clock shows 4:42. What time will it show 121 minutes later? (a) 6:33 (b) 6:53 (c) 7:43 (d) 6:43
- 38.How many degrees does the hour hand of a clock turn in 134 minutes? =
- 39.A clock shows 5:08. What time will it show 64 minutes later? (a) 6:02 (b) 6:12 (c) 7:12 (d) 6:22
- 40.A clock shows 1:08. What time will it show 34 minutes later? (a) 2:42 (b) 1:52 (c) 1:42 (d) 1:32
Answer key
- 210
- 12:38
- 69.5
- 8:28
- 10:43
- 11:26
- 5:14
- 127.5
- 90
- 170
- 54
- 94
- 8:56
- 6.5
- 138
- 6:12
- 276
- 2.5
- 348
- 55.5
- 46
- 50
- 7.5
- 5:54
- 9:19
- 11:37
- 2:47
- 3:16
- 85.5
- 6:13
- 24
- 11:59
- 53.5
- 204
- 6:34
- 71
- 6:43
- 67
- 6:12
- 1:42
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