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 9:09. What time will it show 44 minutes later? (a) 10:03 (b) 10:53 (c) 9:43 (d) 9:53
- 2.A clock shows 8:40. What time will it show 128 minutes later? (a) 10:58 (b) 11:48 (c) 10:48 (d) 10:38
- 3.What is the smaller angle between the hour hand and the minute hand at 4:59? (in degrees) =
- 4.A clock shows 2:08. What time will it show 168 minutes later? (a) 4:56 (b) 5:06 (c) 5:56 (d) 4:46
- 5.What is the smaller angle between the hour hand and the minute hand at 6:05? (in degrees) =
- 6.A clock shows 1:30. What time will it show 76 minutes later? (a) 3:46 (b) 2:56 (c) 2:36 (d) 2:46
- 7.What is the smaller angle between the hour hand and the minute hand at 8:00? (in degrees) =
- 8.A clock shows 11:58. What time will it show 46 minutes later? (a) 12:54 (b) 12:34 (c) 12:44 (d) 1:44
- 9.A clock shows 6:20. What time will it show 68 minutes later? (a) 7:28 (b) 7:18 (c) 8:28 (d) 7:38
- 10.A clock shows 10:09. What time will it show 152 minutes later? (a) 1:41 (b) 12:51 (c) 12:31 (d) 12:41
- 11.What is the smaller angle between the hour hand and the minute hand at 11:53? (in degrees) =
- 12.What is the smaller angle between the hour hand and the minute hand at 4:14? (in degrees) =
- 13.A clock shows 5:31. What time will it show 51 minutes later? (a) 6:32 (b) 7:22 (c) 6:22 (d) 6:12
- 14.What is the smaller angle between the hour hand and the minute hand at 7:27? (in degrees) =
- 15.A clock shows 5:56. What time will it show 155 minutes later? (a) 9:31 (b) 8:41 (c) 8:21 (d) 8:31
- 16.What is the smaller angle between the hour hand and the minute hand at 10:18? (in degrees) =
- 17.How many degrees does the minute hand of a clock turn in 12 minutes? =
- 18.What is the smaller angle between the hour hand and the minute hand at 8:04? (in degrees) =
- 19.What is the smaller angle between the hour hand and the minute hand at 5:41? (in degrees) =
- 20.A clock shows 6:27. What time will it show 10 minutes later? (a) 7:37 (b) 6:27 (c) 6:47 (d) 6:37
- 21.What is the smaller angle between the hour hand and the minute hand at 2:26? (in degrees) =
- 22.A clock shows 10:27. What time will it show 128 minutes later? (a) 12:35 (b) 1:35 (c) 12:45 (d) 12:25
- 23.What is the smaller angle between the hour hand and the minute hand at 12:46? (in degrees) =
- 24.What is the smaller angle between the hour hand and the minute hand at 4:01? (in degrees) =
- 25.What is the smaller angle between the hour hand and the minute hand at 3:31? (in degrees) =
- 26.A clock shows 3:48. What time will it show 27 minutes later? (a) 5:15 (b) 4:15 (c) 4:05 (d) 4:25
- 27.What is the smaller angle between the hour hand and the minute hand at 3:57? (in degrees) =
- 28.A clock shows 3:00. What time will it show 59 minutes later? (a) 4:59 (b) 3:59 (c) 3:49 (d) 4:09
- 29.What is the smaller angle between the hour hand and the minute hand at 7:56? (in degrees) =
- 30.What is the smaller angle between the hour hand and the minute hand at 5:40? (in degrees) =
- 31.A clock shows 7:52. What time will it show 77 minutes later? (a) 9:19 (b) 8:59 (c) 10:09 (d) 9:09
- 32.What is the smaller angle between the hour hand and the minute hand at 11:01? (in degrees) =
- 33.What is the smaller angle between the hour hand and the minute hand at 8:54? (in degrees) =
- 34.What is the smaller angle between the hour hand and the minute hand at 7:30? (in degrees) =
- 35.What is the smaller angle between the hour hand and the minute hand at 11:26? (in degrees) =
- 36.A clock shows 6:43. What time will it show 141 minutes later? (a) 8:54 (b) 9:14 (c) 9:04 (d) 10:04
- 37.How many degrees does the minute hand of a clock turn in 18 minutes? =
- 38.How many degrees does the hour hand of a clock turn in 74 minutes? =
- 39.What is the smaller angle between the hour hand and the minute hand at 9:55? (in degrees) =
- 40.What is the smaller angle between the hour hand and the minute hand at 7:11? (in degrees) =
Answer key
- 9:53
- 10:48
- 155.5
- 4:56
- 152.5
- 2:46
- 120
- 12:44
- 7:28
- 12:41
- 38.5
- 43
- 6:22
- 61.5
- 8:31
- 159
- 72
- 142
- 75.5
- 6:37
- 83
- 12:35
- 107
- 114.5
- 80.5
- 4:15
- 136.5
- 3:59
- 98
- 70
- 9:09
- 35.5
- 57
- 45
- 173
- 9:04
- 108
- 37
- 32.5
- 149.5
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