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 9:59. What time will it show 30 minutes later? (a) 10:19 (b) 11:29 (c) 10:29 (d) 10:39
- 2.What is the smaller angle between the hour hand and the minute hand at 7:59? (in degrees) =
- 3.A clock shows 7:54. What time will it show 151 minutes later? (a) 11:25 (b) 10:35 (c) 10:25 (d) 10:15
- 4.A clock shows 4:25. What time will it show 122 minutes later? (a) 6:17 (b) 6:27 (c) 7:27 (d) 6:37
- 5.A clock shows 4:14. What time will it show 151 minutes later? (a) 6:35 (b) 7:45 (c) 6:45 (d) 6:55
- 6.What is the smaller angle between the hour hand and the minute hand at 1:36? (in degrees) =
- 7.What is the smaller angle between the hour hand and the minute hand at 6:41? (in degrees) =
- 8.What is the smaller angle between the hour hand and the minute hand at 12:34? (in degrees) =
- 9.How many degrees does the minute hand of a clock turn in 56 minutes? =
- 10.What is the smaller angle between the hour hand and the minute hand at 11:04? (in degrees) =
- 11.What is the smaller angle between the hour hand and the minute hand at 12:14? (in degrees) =
- 12.A clock shows 8:58. What time will it show 48 minutes later? (a) 9:36 (b) 10:46 (c) 9:46 (d) 9:56
- 13.How many degrees does the hour hand of a clock turn in 45 minutes? =
- 14.What is the smaller angle between the hour hand and the minute hand at 10:01? (in degrees) =
- 15.How many degrees does the hour hand of a clock turn in 35 minutes? =
- 16.A clock shows 11:07. What time will it show 82 minutes later? (a) 12:39 (b) 12:19 (c) 12:29 (d) 1:29
- 17.What is the smaller angle between the hour hand and the minute hand at 3:27? (in degrees) =
- 18.How many degrees does the hour hand of a clock turn in 40 minutes? =
- 19.What is the smaller angle between the hour hand and the minute hand at 8:31? (in degrees) =
- 20.How many degrees does the hour hand of a clock turn in 172 minutes? =
- 21.A clock shows 12:53. What time will it show 90 minutes later? (a) 2:33 (b) 2:13 (c) 2:23 (d) 3:23
- 22.How many degrees does the hour hand of a clock turn in 130 minutes? =
- 23.What is the smaller angle between the hour hand and the minute hand at 6:06? (in degrees) =
- 24.How many degrees does the minute hand of a clock turn in 24 minutes? =
- 25.What is the smaller angle between the hour hand and the minute hand at 5:34? (in degrees) =
- 26.How many degrees does the minute hand of a clock turn in 59 minutes? =
- 27.What is the smaller angle between the hour hand and the minute hand at 1:32? (in degrees) =
- 28.A clock shows 6:19. What time will it show 157 minutes later? (a) 9:56 (b) 8:56 (c) 9:06 (d) 8:46
- 29.What is the smaller angle between the hour hand and the minute hand at 4:54? (in degrees) =
- 30.A clock shows 3:35. What time will it show 32 minutes later? (a) 5:07 (b) 3:57 (c) 4:07 (d) 4:17
- 31.How many degrees does the minute hand of a clock turn in 41 minutes? =
- 32.A clock shows 4:46. What time will it show 146 minutes later? (a) 7:12 (b) 7:02 (c) 8:12 (d) 7:22
- 33.A clock shows 1:37. What time will it show 27 minutes later? (a) 3:04 (b) 1:54 (c) 2:14 (d) 2:04
- 34.How many degrees does the hour hand of a clock turn in 161 minutes? =
- 35.A clock shows 4:41. What time will it show 41 minutes later? (a) 5:22 (b) 6:22 (c) 5:32 (d) 5:12
- 36.A clock shows 10:37. What time will it show 32 minutes later? (a) 11:09 (b) 12:09 (c) 11:19 (d) 10:59
- 37.A clock shows 3:25. What time will it show 45 minutes later? (a) 5:10 (b) 4:20 (c) 4:00 (d) 4:10
- 38.A clock shows 1:23. What time will it show 64 minutes later? (a) 2:17 (b) 2:27 (c) 3:27 (d) 2:37
- 39.How many degrees does the minute hand of a clock turn in 45 minutes? =
- 40.A clock shows 6:59. What time will it show 29 minutes later? (a) 8:28 (b) 7:28 (c) 7:38 (d) 7:18
Answer key
- 10:29
- 114.5
- 10:25
- 6:27
- 6:45
- 168
- 45.5
- 173
- 336
- 52
- 77
- 9:46
- 22.5
- 65.5
- 17.5
- 12:29
- 58.5
- 20
- 69.5
- 86
- 2:23
- 65
- 147
- 144
- 37
- 354
- 146
- 8:56
- 177
- 4:07
- 246
- 7:12
- 2:04
- 80.5
- 5:22
- 11:09
- 4:10
- 2:27
- 270
- 7:28
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