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 6:13. What time will it show 16 minutes later? (a) 6:19 (b) 7:29 (c) 6:29 (d) 6:39
- 2.How many degrees does the hour hand of a clock turn in 51 minutes? =
- 3.What is the smaller angle between the hour hand and the minute hand at 4:44? (in degrees) =
- 4.A clock shows 2:49. What time will it show 29 minutes later? (a) 3:08 (b) 4:18 (c) 3:28 (d) 3:18
- 5.What is the smaller angle between the hour hand and the minute hand at 3:46? (in degrees) =
- 6.A clock shows 3:57. What time will it show 151 minutes later? (a) 6:38 (b) 7:28 (c) 6:18 (d) 6:28
- 7.What is the smaller angle between the hour hand and the minute hand at 6:54? (in degrees) =
- 8.What is the smaller angle between the hour hand and the minute hand at 4:13? (in degrees) =
- 9.What is the smaller angle between the hour hand and the minute hand at 4:16? (in degrees) =
- 10.A clock shows 4:53. What time will it show 29 minutes later? (a) 6:22 (b) 5:32 (c) 5:12 (d) 5:22
- 11.What is the smaller angle between the hour hand and the minute hand at 5:47? (in degrees) =
- 12.How many degrees does the hour hand of a clock turn in 115 minutes? =
- 13.How many degrees does the hour hand of a clock turn in 21 minutes? =
- 14.What is the smaller angle between the hour hand and the minute hand at 9:50? (in degrees) =
- 15.What is the smaller angle between the hour hand and the minute hand at 11:29? (in degrees) =
- 16.How many degrees does the minute hand of a clock turn in 26 minutes? =
- 17.A clock shows 3:51. What time will it show 33 minutes later? (a) 5:24 (b) 4:34 (c) 4:24 (d) 4:14
- 18.What is the smaller angle between the hour hand and the minute hand at 1:22? (in degrees) =
- 19.How many degrees does the minute hand of a clock turn in 4 minutes? =
- 20.A clock shows 9:11. What time will it show 15 minutes later? (a) 10:26 (b) 9:26 (c) 9:16 (d) 9:36
- 21.How many degrees does the hour hand of a clock turn in 99 minutes? =
- 22.A clock shows 7:56. What time will it show 62 minutes later? (a) 9:58 (b) 8:48 (c) 8:58 (d) 9:08
- 23.A clock shows 10:23. What time will it show 70 minutes later? (a) 11:33 (b) 12:33 (c) 11:43 (d) 11:23
- 24.A clock shows 6:01. What time will it show 104 minutes later? (a) 8:45 (b) 7:45 (c) 7:55 (d) 7:35
- 25.How many degrees does the minute hand of a clock turn in 11 minutes? =
- 26.A clock shows 12:31. What time will it show 89 minutes later? (a) 1:50 (b) 3:00 (c) 2:10 (d) 2:00
- 27.A clock shows 7:06. What time will it show 169 minutes later? (a) 10:05 (b) 9:55 (c) 10:55 (d) 9:45
- 28.How many degrees does the hour hand of a clock turn in 16 minutes? =
- 29.How many degrees does the hour hand of a clock turn in 125 minutes? =
- 30.What is the smaller angle between the hour hand and the minute hand at 1:19? (in degrees) =
- 31.What is the smaller angle between the hour hand and the minute hand at 9:57? (in degrees) =
- 32.A clock shows 12:02. What time will it show 159 minutes later? (a) 2:31 (b) 3:41 (c) 2:41 (d) 2:51
- 33.How many degrees does the minute hand of a clock turn in 8 minutes? =
- 34.What is the smaller angle between the hour hand and the minute hand at 3:11? (in degrees) =
- 35.What is the smaller angle between the hour hand and the minute hand at 11:13? (in degrees) =
- 36.What is the smaller angle between the hour hand and the minute hand at 8:30? (in degrees) =
- 37.How many degrees does the hour hand of a clock turn in 79 minutes? =
- 38.A clock shows 1:07. What time will it show 90 minutes later? (a) 2:37 (b) 3:37 (c) 2:27 (d) 2:47
- 39.What is the smaller angle between the hour hand and the minute hand at 3:52? (in degrees) =
- 40.What is the smaller angle between the hour hand and the minute hand at 5:41? (in degrees) =
Answer key
- 6:29
- 25.5
- 122
- 3:18
- 163
- 6:28
- 117
- 48.5
- 32
- 5:22
- 108.5
- 57.5
- 10.5
- 5
- 170.5
- 156
- 4:24
- 91
- 24
- 9:26
- 49.5
- 8:58
- 11:33
- 7:45
- 66
- 2:00
- 9:55
- 8
- 62.5
- 74.5
- 43.5
- 2:41
- 48
- 29.5
- 101.5
- 75
- 39.5
- 2:37
- 164
- 75.5
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