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.What is the smaller angle between the hour hand and the minute hand at 7:48? (in degrees) =
- 2.How many degrees does the minute hand of a clock turn in 8 minutes? =
- 3.A clock shows 8:18. What time will it show 30 minutes later? (a) 9:48 (b) 8:48 (c) 8:38 (d) 8:58
- 4.How many degrees does the minute hand of a clock turn in 16 minutes? =
- 5.A clock shows 7:36. What time will it show 60 minutes later? (a) 9:36 (b) 8:46 (c) 8:36 (d) 8:26
- 6.A clock shows 8:23. What time will it show 124 minutes later? (a) 10:27 (b) 10:17 (c) 11:27 (d) 10:37
- 7.How many degrees does the hour hand of a clock turn in 169 minutes? =
- 8.A clock shows 11:24. What time will it show 162 minutes later? (a) 1:56 (b) 2:16 (c) 3:06 (d) 2:06
- 9.A clock shows 10:06. What time will it show 101 minutes later? (a) 12:47 (b) 11:47 (c) 11:57 (d) 11:37
- 10.A clock shows 12:22. What time will it show 153 minutes later? (a) 3:55 (b) 2:45 (c) 3:05 (d) 2:55
- 11.A clock shows 5:12. What time will it show 41 minutes later? (a) 6:03 (b) 5:53 (c) 5:43 (d) 6:53
- 12.A clock shows 2:30. What time will it show 52 minutes later? (a) 3:12 (b) 3:22 (c) 4:22 (d) 3:32
- 13.What is the smaller angle between the hour hand and the minute hand at 1:40? (in degrees) =
- 14.What is the smaller angle between the hour hand and the minute hand at 5:24? (in degrees) =
- 15.A clock shows 12:08. What time will it show 85 minutes later? (a) 1:43 (b) 1:33 (c) 1:23 (d) 2:33
- 16.A clock shows 5:01. What time will it show 124 minutes later? (a) 7:15 (b) 7:05 (c) 8:05 (d) 6:55
- 17.A clock shows 8:53. What time will it show 90 minutes later? (a) 10:13 (b) 10:33 (c) 10:23 (d) 11:23
- 18.A clock shows 4:03. What time will it show 65 minutes later? (a) 5:18 (b) 6:08 (c) 4:58 (d) 5:08
- 19.A clock shows 9:12. What time will it show 23 minutes later? (a) 9:45 (b) 9:35 (c) 9:25 (d) 10:35
- 20.What is the smaller angle between the hour hand and the minute hand at 11:05? (in degrees) =
- 21.A clock shows 10:32. What time will it show 60 minutes later? (a) 11:22 (b) 12:32 (c) 11:42 (d) 11:32
- 22.A clock shows 11:26. What time will it show 100 minutes later? (a) 1:16 (b) 12:56 (c) 1:06 (d) 2:06
- 23.What is the smaller angle between the hour hand and the minute hand at 7:27? (in degrees) =
- 24.A clock shows 12:20. What time will it show 24 minutes later? (a) 1:44 (b) 12:54 (c) 12:44 (d) 12:34
- 25.What is the smaller angle between the hour hand and the minute hand at 4:10? (in degrees) =
- 26.What is the smaller angle between the hour hand and the minute hand at 11:57? (in degrees) =
- 27.What is the smaller angle between the hour hand and the minute hand at 2:02? (in degrees) =
- 28.What is the smaller angle between the hour hand and the minute hand at 3:33? (in degrees) =
- 29.How many degrees does the hour hand of a clock turn in 36 minutes? =
- 30.What is the smaller angle between the hour hand and the minute hand at 1:09? (in degrees) =
- 31.What is the smaller angle between the hour hand and the minute hand at 9:57? (in degrees) =
- 32.How many degrees does the hour hand of a clock turn in 43 minutes? =
- 33.A clock shows 12:36. What time will it show 56 minutes later? (a) 1:32 (b) 1:42 (c) 1:22 (d) 2:32
- 34.A clock shows 1:38. What time will it show 14 minutes later? (a) 1:42 (b) 2:02 (c) 2:52 (d) 1:52
- 35.A clock shows 9:34. What time will it show 29 minutes later? (a) 10:03 (b) 10:13 (c) 9:53 (d) 11:03
- 36.How many degrees does the hour hand of a clock turn in 32 minutes? =
- 37.A clock shows 5:51. What time will it show 34 minutes later? (a) 6:35 (b) 6:15 (c) 6:25 (d) 7:25
- 38.What is the smaller angle between the hour hand and the minute hand at 10:21? (in degrees) =
- 39.What is the smaller angle between the hour hand and the minute hand at 11:06? (in degrees) =
- 40.How many degrees does the minute hand of a clock turn in 10 minutes? =
Answer key
- 54
- 48
- 8:48
- 96
- 8:36
- 10:27
- 84.5
- 2:06
- 11:47
- 2:55
- 5:53
- 3:22
- 170
- 18
- 1:33
- 7:05
- 10:23
- 5:08
- 9:35
- 57.5
- 11:32
- 1:06
- 61.5
- 12:44
- 65
- 16.5
- 49
- 91.5
- 18
- 19.5
- 43.5
- 21.5
- 1:32
- 1:52
- 10:03
- 16
- 6:25
- 175.5
- 63
- 60
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