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 8:55. What time will it show 78 minutes later? (a) 10:03 (b) 10:13 (c) 10:23 (d) 11:13
- 2.What is the smaller angle between the hour hand and the minute hand at 10:40? (in degrees) =
- 3.A clock shows 5:06. What time will it show 147 minutes later? (a) 8:33 (b) 7:43 (c) 7:23 (d) 7:33
- 4.What is the smaller angle between the hour hand and the minute hand at 4:20? (in degrees) =
- 5.A clock shows 1:12. What time will it show 169 minutes later? (a) 4:01 (b) 5:01 (c) 4:11 (d) 3:51
- 6.A clock shows 1:49. What time will it show 120 minutes later? (a) 3:59 (b) 3:39 (c) 4:49 (d) 3:49
- 7.A clock shows 2:27. What time will it show 106 minutes later? (a) 4:03 (b) 5:13 (c) 4:13 (d) 4:23
- 8.How many degrees does the minute hand of a clock turn in 18 minutes? =
- 9.What is the smaller angle between the hour hand and the minute hand at 1:30? (in degrees) =
- 10.A clock shows 3:57. What time will it show 136 minutes later? (a) 6:13 (b) 6:03 (c) 7:13 (d) 6:23
- 11.How many degrees does the minute hand of a clock turn in 17 minutes? =
- 12.A clock shows 6:02. What time will it show 134 minutes later? (a) 9:16 (b) 8:16 (c) 8:06 (d) 8:26
- 13.A clock shows 1:02. What time will it show 64 minutes later? (a) 2:06 (b) 3:06 (c) 1:56 (d) 2:16
- 14.A clock shows 2:44. What time will it show 80 minutes later? (a) 3:54 (b) 4:04 (c) 5:04 (d) 4:14
- 15.What is the smaller angle between the hour hand and the minute hand at 3:59? (in degrees) =
- 16.How many degrees does the minute hand of a clock turn in 47 minutes? =
- 17.What is the smaller angle between the hour hand and the minute hand at 10:10? (in degrees) =
- 18.A clock shows 3:50. What time will it show 61 minutes later? (a) 4:41 (b) 5:51 (c) 5:01 (d) 4:51
- 19.What is the smaller angle between the hour hand and the minute hand at 7:07? (in degrees) =
- 20.A clock shows 7:33. What time will it show 66 minutes later? (a) 8:49 (b) 9:39 (c) 8:29 (d) 8:39
- 21.A clock shows 3:17. What time will it show 51 minutes later? (a) 5:08 (b) 3:58 (c) 4:18 (d) 4:08
- 22.How many degrees does the hour hand of a clock turn in 106 minutes? =
- 23.A clock shows 10:24. What time will it show 42 minutes later? (a) 10:56 (b) 11:06 (c) 11:16 (d) 12:06
- 24.What is the smaller angle between the hour hand and the minute hand at 6:23? (in degrees) =
- 25.How many degrees does the minute hand of a clock turn in 33 minutes? =
- 26.A clock shows 5:52. What time will it show 49 minutes later? (a) 6:41 (b) 6:31 (c) 7:41 (d) 6:51
- 27.What is the smaller angle between the hour hand and the minute hand at 8:11? (in degrees) =
- 28.A clock shows 11:27. What time will it show 21 minutes later? (a) 11:38 (b) 12:48 (c) 11:58 (d) 11:48
- 29.A clock shows 3:13. What time will it show 60 minutes later? (a) 4:13 (b) 4:23 (c) 5:13 (d) 4:03
- 30.What is the smaller angle between the hour hand and the minute hand at 5:43? (in degrees) =
- 31.How many degrees does the hour hand of a clock turn in 69 minutes? =
- 32.What is the smaller angle between the hour hand and the minute hand at 12:16? (in degrees) =
- 33.How many degrees does the hour hand of a clock turn in 96 minutes? =
- 34.What is the smaller angle between the hour hand and the minute hand at 8:30? (in degrees) =
- 35.A clock shows 3:42. What time will it show 122 minutes later? (a) 5:54 (b) 5:34 (c) 5:44 (d) 6:44
- 36.What is the smaller angle between the hour hand and the minute hand at 4:19? (in degrees) =
- 37.How many degrees does the minute hand of a clock turn in 15 minutes? =
- 38.A clock shows 8:39. What time will it show 161 minutes later? (a) 12:20 (b) 11:20 (c) 11:30 (d) 11:10
- 39.A clock shows 5:35. What time will it show 110 minutes later? (a) 7:15 (b) 8:25 (c) 7:25 (d) 7:35
- 40.What is the smaller angle between the hour hand and the minute hand at 2:05? (in degrees) =
Answer key
- 10:13
- 80
- 7:33
- 10
- 4:01
- 3:49
- 4:13
- 108
- 135
- 6:13
- 102
- 8:16
- 2:06
- 4:04
- 125.5
- 282
- 115
- 4:51
- 171.5
- 8:39
- 4:08
- 53
- 11:06
- 53.5
- 198
- 6:41
- 179.5
- 11:48
- 4:13
- 86.5
- 34.5
- 88
- 48
- 75
- 5:44
- 15.5
- 90
- 11:20
- 7:25
- 32.5
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