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 8:19. What time will it show 130 minutes later? (a) 11:29 (b) 10:19 (c) 10:29 (d) 10:39
- 2.How many degrees does the minute hand of a clock turn in 2 minutes? =
- 3.How many degrees does the hour hand of a clock turn in 10 minutes? =
- 4.A clock shows 5:22. What time will it show 42 minutes later? (a) 7:04 (b) 6:14 (c) 5:54 (d) 6:04
- 5.What is the smaller angle between the hour hand and the minute hand at 5:01? (in degrees) =
- 6.What is the smaller angle between the hour hand and the minute hand at 9:50? (in degrees) =
- 7.A clock shows 3:55. What time will it show 11 minutes later? (a) 5:06 (b) 4:16 (c) 4:06 (d) 3:56
- 8.What is the smaller angle between the hour hand and the minute hand at 2:05? (in degrees) =
- 9.What is the smaller angle between the hour hand and the minute hand at 11:43? (in degrees) =
- 10.A clock shows 4:52. What time will it show 47 minutes later? (a) 5:29 (b) 6:39 (c) 5:49 (d) 5:39
- 11.A clock shows 8:28. What time will it show 59 minutes later? (a) 10:27 (b) 9:37 (c) 9:17 (d) 9:27
- 12.A clock shows 1:25. What time will it show 118 minutes later? (a) 4:23 (b) 3:13 (c) 3:33 (d) 3:23
- 13.What is the smaller angle between the hour hand and the minute hand at 8:07? (in degrees) =
- 14.What is the smaller angle between the hour hand and the minute hand at 2:39? (in degrees) =
- 15.What is the smaller angle between the hour hand and the minute hand at 5:20? (in degrees) =
- 16.How many degrees does the hour hand of a clock turn in 115 minutes? =
- 17.How many degrees does the hour hand of a clock turn in 177 minutes? =
- 18.A clock shows 3:03. What time will it show 31 minutes later? (a) 3:24 (b) 3:44 (c) 4:34 (d) 3:34
- 19.A clock shows 7:05. What time will it show 59 minutes later? (a) 8:04 (b) 9:04 (c) 8:14 (d) 7:54
- 20.What is the smaller angle between the hour hand and the minute hand at 7:18? (in degrees) =
- 21.What is the smaller angle between the hour hand and the minute hand at 12:10? (in degrees) =
- 22.How many degrees does the minute hand of a clock turn in 39 minutes? =
- 23.A clock shows 2:00. What time will it show 55 minutes later? (a) 3:55 (b) 2:55 (c) 3:05 (d) 2:45
- 24.A clock shows 2:50. What time will it show 31 minutes later? (a) 3:31 (b) 3:11 (c) 3:21 (d) 4:21
- 25.What is the smaller angle between the hour hand and the minute hand at 5:16? (in degrees) =
- 26.How many degrees does the hour hand of a clock turn in 134 minutes? =
- 27.How many degrees does the minute hand of a clock turn in 26 minutes? =
- 28.How many degrees does the minute hand of a clock turn in 47 minutes? =
- 29.A clock shows 3:44. What time will it show 11 minutes later? (a) 4:05 (b) 3:45 (c) 3:55 (d) 4:55
- 30.What is the smaller angle between the hour hand and the minute hand at 1:31? (in degrees) =
- 31.A clock shows 9:09. What time will it show 58 minutes later? (a) 10:17 (b) 11:07 (c) 10:07 (d) 9:57
- 32.A clock shows 5:00. What time will it show 85 minutes later? (a) 6:35 (b) 6:15 (c) 7:25 (d) 6:25
- 33.What is the smaller angle between the hour hand and the minute hand at 10:10? (in degrees) =
- 34.What is the smaller angle between the hour hand and the minute hand at 7:27? (in degrees) =
- 35.A clock shows 1:26. What time will it show 146 minutes later? (a) 4:52 (b) 3:52 (c) 3:42 (d) 4:02
- 36.How many degrees does the hour hand of a clock turn in 53 minutes? =
- 37.A clock shows 4:33. What time will it show 135 minutes later? (a) 7:48 (b) 6:58 (c) 6:38 (d) 6:48
- 38.A clock shows 4:03. What time will it show 15 minutes later? (a) 5:18 (b) 4:18 (c) 4:28 (d) 4:08
- 39.What is the smaller angle between the hour hand and the minute hand at 5:07? (in degrees) =
- 40.What is the smaller angle between the hour hand and the minute hand at 4:12? (in degrees) =
Answer key
- 10:29
- 12
- 5
- 6:04
- 144.5
- 5
- 4:06
- 32.5
- 93.5
- 5:39
- 9:27
- 3:23
- 158.5
- 154.5
- 40
- 57.5
- 88.5
- 3:34
- 8:04
- 111
- 55
- 234
- 2:55
- 3:21
- 62
- 67
- 156
- 282
- 3:55
- 140.5
- 10:07
- 6:25
- 115
- 61.5
- 3:52
- 26.5
- 6:48
- 4:18
- 111.5
- 54
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