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 3:55. What time will it show 86 minutes later? (a) 6:21 (b) 5:11 (c) 5:21 (d) 5:31
- 2.A clock shows 3:44. What time will it show 54 minutes later? (a) 5:38 (b) 4:28 (c) 4:38 (d) 4:48
- 3.What is the smaller angle between the hour hand and the minute hand at 12:51? (in degrees) =
- 4.A clock shows 4:37. What time will it show 52 minutes later? (a) 5:39 (b) 6:29 (c) 5:29 (d) 5:19
- 5.What is the smaller angle between the hour hand and the minute hand at 10:52? (in degrees) =
- 6.A clock shows 12:51. What time will it show 56 minutes later? (a) 2:47 (b) 1:37 (c) 1:47 (d) 1:57
- 7.How many degrees does the minute hand of a clock turn in 28 minutes? =
- 8.What is the smaller angle between the hour hand and the minute hand at 7:50? (in degrees) =
- 9.How many degrees does the hour hand of a clock turn in 15 minutes? =
- 10.How many degrees does the minute hand of a clock turn in 13 minutes? =
- 11.What is the smaller angle between the hour hand and the minute hand at 1:52? (in degrees) =
- 12.How many degrees does the hour hand of a clock turn in 11 minutes? =
- 13.What is the smaller angle between the hour hand and the minute hand at 4:36? (in degrees) =
- 14.A clock shows 3:01. What time will it show 133 minutes later? (a) 5:04 (b) 6:14 (c) 5:14 (d) 5:24
- 15.A clock shows 2:16. What time will it show 26 minutes later? (a) 2:52 (b) 2:42 (c) 3:42 (d) 2:32
- 16.What is the smaller angle between the hour hand and the minute hand at 7:26? (in degrees) =
- 17.A clock shows 7:07. What time will it show 52 minutes later? (a) 7:59 (b) 8:09 (c) 8:59 (d) 7:49
- 18.What is the smaller angle between the hour hand and the minute hand at 3:25? (in degrees) =
- 19.A clock shows 10:59. What time will it show 48 minutes later? (a) 12:47 (b) 11:37 (c) 11:47 (d) 11:57
- 20.What is the smaller angle between the hour hand and the minute hand at 3:52? (in degrees) =
- 21.A clock shows 10:05. What time will it show 20 minutes later? (a) 10:15 (b) 11:25 (c) 10:25 (d) 10:35
- 22.How many degrees does the hour hand of a clock turn in 130 minutes? =
- 23.What is the smaller angle between the hour hand and the minute hand at 9:37? (in degrees) =
- 24.What is the smaller angle between the hour hand and the minute hand at 9:44? (in degrees) =
- 25.What is the smaller angle between the hour hand and the minute hand at 2:34? (in degrees) =
- 26.A clock shows 5:58. What time will it show 46 minutes later? (a) 6:34 (b) 6:44 (c) 6:54 (d) 7:44
- 27.How many degrees does the hour hand of a clock turn in 37 minutes? =
- 28.What is the smaller angle between the hour hand and the minute hand at 1:34? (in degrees) =
- 29.How many degrees does the hour hand of a clock turn in 121 minutes? =
- 30.A clock shows 12:50. What time will it show 137 minutes later? (a) 4:07 (b) 3:07 (c) 2:57 (d) 3:17
- 31.How many degrees does the minute hand of a clock turn in 24 minutes? =
- 32.What is the smaller angle between the hour hand and the minute hand at 4:52? (in degrees) =
- 33.A clock shows 6:36. What time will it show 102 minutes later? (a) 8:18 (b) 8:08 (c) 9:18 (d) 8:28
- 34.How many degrees does the minute hand of a clock turn in 58 minutes? =
- 35.A clock shows 4:28. What time will it show 45 minutes later? (a) 5:23 (b) 5:13 (c) 5:03 (d) 6:13
- 36.What is the smaller angle between the hour hand and the minute hand at 8:58? (in degrees) =
- 37.A clock shows 2:27. What time will it show 73 minutes later? (a) 3:40 (b) 3:50 (c) 3:30 (d) 4:40
- 38.A clock shows 9:14. What time will it show 149 minutes later? (a) 12:43 (b) 11:33 (c) 11:53 (d) 11:43
- 39.What is the smaller angle between the hour hand and the minute hand at 4:14? (in degrees) =
- 40.What is the smaller angle between the hour hand and the minute hand at 4:29? (in degrees) =
Answer key
- 5:21
- 4:38
- 79.5
- 5:29
- 14
- 1:47
- 168
- 65
- 7.5
- 78
- 104
- 5.5
- 78
- 5:14
- 2:42
- 67
- 7:59
- 47.5
- 11:47
- 164
- 10:25
- 65
- 66.5
- 28
- 127
- 6:44
- 18.5
- 157
- 60.5
- 3:07
- 144
- 166
- 8:18
- 348
- 5:13
- 79
- 3:40
- 11:43
- 43
- 39.5
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