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 4:38? (in degrees) =
- 2.A clock shows 3:46. What time will it show 85 minutes later? (a) 5:11 (b) 5:01 (c) 6:11 (d) 5:21
- 3.A clock shows 2:22. What time will it show 17 minutes later? (a) 2:39 (b) 3:39 (c) 2:49 (d) 2:29
- 4.A clock shows 4:16. What time will it show 61 minutes later? (a) 6:17 (b) 5:17 (c) 5:07 (d) 5:27
- 5.A clock shows 7:52. What time will it show 38 minutes later? (a) 8:20 (b) 8:40 (c) 8:30 (d) 9:30
- 6.A clock shows 9:20. What time will it show 15 minutes later? (a) 10:35 (b) 9:45 (c) 9:25 (d) 9:35
- 7.What is the smaller angle between the hour hand and the minute hand at 4:06? (in degrees) =
- 8.A clock shows 7:17. What time will it show 151 minutes later? (a) 9:58 (b) 10:48 (c) 9:38 (d) 9:48
- 9.What is the smaller angle between the hour hand and the minute hand at 1:09? (in degrees) =
- 10.What is the smaller angle between the hour hand and the minute hand at 2:30? (in degrees) =
- 11.What is the smaller angle between the hour hand and the minute hand at 4:19? (in degrees) =
- 12.What is the smaller angle between the hour hand and the minute hand at 12:29? (in degrees) =
- 13.A clock shows 1:35. What time will it show 47 minutes later? (a) 2:32 (b) 3:22 (c) 2:22 (d) 2:12
- 14.A clock shows 3:45. What time will it show 128 minutes later? (a) 5:53 (b) 5:43 (c) 6:03 (d) 6:53
- 15.A clock shows 5:13. What time will it show 91 minutes later? (a) 6:34 (b) 6:54 (c) 7:44 (d) 6:44
- 16.What is the smaller angle between the hour hand and the minute hand at 10:00? (in degrees) =
- 17.A clock shows 10:24. What time will it show 160 minutes later? (a) 2:04 (b) 1:04 (c) 1:14 (d) 12:54
- 18.What is the smaller angle between the hour hand and the minute hand at 5:18? (in degrees) =
- 19.How many degrees does the hour hand of a clock turn in 17 minutes? =
- 20.What is the smaller angle between the hour hand and the minute hand at 6:06? (in degrees) =
- 21.A clock shows 10:24. What time will it show 141 minutes later? (a) 12:35 (b) 12:55 (c) 1:45 (d) 12:45
- 22.What is the smaller angle between the hour hand and the minute hand at 7:57? (in degrees) =
- 23.A clock shows 1:55. What time will it show 101 minutes later? (a) 3:36 (b) 3:26 (c) 4:36 (d) 3:46
- 24.What is the smaller angle between the hour hand and the minute hand at 2:14? (in degrees) =
- 25.A clock shows 1:14. What time will it show 65 minutes later? (a) 2:19 (b) 3:19 (c) 2:29 (d) 2:09
- 26.A clock shows 10:04. What time will it show 93 minutes later? (a) 12:37 (b) 11:47 (c) 11:37 (d) 11:27
- 27.A clock shows 2:45. What time will it show 132 minutes later? (a) 5:07 (b) 4:47 (c) 5:57 (d) 4:57
- 28.A clock shows 2:41. What time will it show 94 minutes later? (a) 4:05 (b) 5:15 (c) 4:15 (d) 4:25
- 29.What is the smaller angle between the hour hand and the minute hand at 2:41? (in degrees) =
- 30.A clock shows 3:59. What time will it show 15 minutes later? (a) 4:24 (b) 4:04 (c) 4:14 (d) 5:14
- 31.What is the smaller angle between the hour hand and the minute hand at 12:04? (in degrees) =
- 32.A clock shows 7:07. What time will it show 102 minutes later? (a) 8:49 (b) 8:59 (c) 9:49 (d) 8:39
- 33.How many degrees does the hour hand of a clock turn in 179 minutes? =
- 34.What is the smaller angle between the hour hand and the minute hand at 10:10? (in degrees) =
- 35.How many degrees does the minute hand of a clock turn in 58 minutes? =
- 36.A clock shows 2:12. What time will it show 108 minutes later? (a) 4:10 (b) 4:00 (c) 3:50 (d) 5:00
- 37.What is the smaller angle between the hour hand and the minute hand at 3:10? (in degrees) =
- 38.How many degrees does the hour hand of a clock turn in 126 minutes? =
- 39.A clock shows 8:59. What time will it show 146 minutes later? (a) 12:25 (b) 11:35 (c) 11:15 (d) 11:25
- 40.A clock shows 7:51. What time will it show 146 minutes later? (a) 10:27 (b) 11:17 (c) 10:17 (d) 10:07
Answer key
- 89
- 5:11
- 2:39
- 5:17
- 8:30
- 9:35
- 87
- 9:48
- 19.5
- 105
- 15.5
- 159.5
- 2:22
- 5:53
- 6:44
- 60
- 1:04
- 51
- 8.5
- 147
- 12:45
- 103.5
- 3:36
- 17
- 2:19
- 11:37
- 4:57
- 4:15
- 165.5
- 4:14
- 22
- 8:49
- 89.5
- 115
- 348
- 4:00
- 35
- 63
- 11:25
- 10:17
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