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 10 minutes? =
- 2.What is the smaller angle between the hour hand and the minute hand at 8:15? (in degrees) =
- 3.A clock shows 1:55. What time will it show 144 minutes later? (a) 4:09 (b) 5:19 (c) 4:19 (d) 4:29
- 4.A clock shows 8:16. What time will it show 25 minutes later? (a) 8:31 (b) 8:51 (c) 8:41 (d) 9:41
- 5.What is the smaller angle between the hour hand and the minute hand at 4:43? (in degrees) =
- 6.What is the smaller angle between the hour hand and the minute hand at 4:44? (in degrees) =
- 7.A clock shows 4:13. What time will it show 164 minutes later? (a) 6:57 (b) 7:07 (c) 6:47 (d) 7:57
- 8.What is the smaller angle between the hour hand and the minute hand at 2:04? (in degrees) =
- 9.What is the smaller angle between the hour hand and the minute hand at 12:34? (in degrees) =
- 10.How many degrees does the minute hand of a clock turn in 29 minutes? =
- 11.A clock shows 12:17. What time will it show 10 minutes later? (a) 12:27 (b) 1:27 (c) 12:17 (d) 12:37
- 12.What is the smaller angle between the hour hand and the minute hand at 10:06? (in degrees) =
- 13.How many degrees does the minute hand of a clock turn in 34 minutes? =
- 14.A clock shows 3:01. What time will it show 75 minutes later? (a) 4:16 (b) 5:16 (c) 4:06 (d) 4:26
- 15.What is the smaller angle between the hour hand and the minute hand at 7:06? (in degrees) =
- 16.What is the smaller angle between the hour hand and the minute hand at 6:20? (in degrees) =
- 17.How many degrees does the hour hand of a clock turn in 92 minutes? =
- 18.How many degrees does the hour hand of a clock turn in 27 minutes? =
- 19.What is the smaller angle between the hour hand and the minute hand at 3:07? (in degrees) =
- 20.What is the smaller angle between the hour hand and the minute hand at 8:04? (in degrees) =
- 21.What is the smaller angle between the hour hand and the minute hand at 3:56? (in degrees) =
- 22.How many degrees does the hour hand of a clock turn in 60 minutes? =
- 23.What is the smaller angle between the hour hand and the minute hand at 10:32? (in degrees) =
- 24.A clock shows 9:38. What time will it show 45 minutes later? (a) 10:33 (b) 11:23 (c) 10:23 (d) 10:13
- 25.What is the smaller angle between the hour hand and the minute hand at 2:35? (in degrees) =
- 26.A clock shows 1:19. What time will it show 112 minutes later? (a) 3:11 (b) 3:21 (c) 4:11 (d) 3:01
- 27.A clock shows 2:51. What time will it show 99 minutes later? (a) 4:20 (b) 4:40 (c) 5:30 (d) 4:30
- 28.A clock shows 4:09. What time will it show 122 minutes later? (a) 6:21 (b) 6:01 (c) 6:11 (d) 7:11
- 29.A clock shows 5:08. What time will it show 165 minutes later? (a) 8:53 (b) 7:53 (c) 7:43 (d) 8:03
- 30.How many degrees does the minute hand of a clock turn in 5 minutes? =
- 31.A clock shows 7:36. What time will it show 49 minutes later? (a) 8:35 (b) 8:25 (c) 9:25 (d) 8:15
- 32.A clock shows 2:30. What time will it show 33 minutes later? (a) 3:13 (b) 3:03 (c) 2:53 (d) 4:03
- 33.A clock shows 12:22. What time will it show 34 minutes later? (a) 1:56 (b) 12:56 (c) 12:46 (d) 1:06
- 34.What is the smaller angle between the hour hand and the minute hand at 11:23? (in degrees) =
- 35.A clock shows 8:31. What time will it show 106 minutes later? (a) 10:27 (b) 10:07 (c) 11:17 (d) 10:17
- 36.A clock shows 1:53. What time will it show 120 minutes later? (a) 3:43 (b) 3:53 (c) 4:03 (d) 4:53
- 37.A clock shows 10:06. What time will it show 154 minutes later? (a) 12:50 (b) 1:40 (c) 12:40 (d) 12:30
- 38.How many degrees does the hour hand of a clock turn in 105 minutes? =
- 39.What is the smaller angle between the hour hand and the minute hand at 2:20? (in degrees) =
- 40.How many degrees does the minute hand of a clock turn in 46 minutes? =
Answer key
- 60
- 157.5
- 4:19
- 8:41
- 116.5
- 122
- 6:57
- 38
- 173
- 174
- 12:27
- 93
- 204
- 4:16
- 177
- 70
- 46
- 13.5
- 51.5
- 142
- 142
- 30
- 124
- 10:23
- 132.5
- 3:11
- 4:30
- 6:11
- 7:53
- 30
- 8:25
- 3:03
- 12:56
- 156.5
- 10:17
- 3:53
- 12:40
- 52.5
- 50
- 276
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