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 4:03. What time will it show 148 minutes later? (a) 6:31 (b) 7:31 (c) 6:21 (d) 6:41
- 2.What is the smaller angle between the hour hand and the minute hand at 4:40? (in degrees) =
- 3.How many degrees does the hour hand of a clock turn in 150 minutes? =
- 4.What is the smaller angle between the hour hand and the minute hand at 5:01? (in degrees) =
- 5.A clock shows 3:52. What time will it show 58 minutes later? (a) 5:00 (b) 4:50 (c) 4:40 (d) 5:50
- 6.What is the smaller angle between the hour hand and the minute hand at 10:01? (in degrees) =
- 7.How many degrees does the hour hand of a clock turn in 112 minutes? =
- 8.A clock shows 7:41. What time will it show 114 minutes later? (a) 9:35 (b) 9:25 (c) 9:45 (d) 10:35
- 9.A clock shows 9:36. What time will it show 52 minutes later? (a) 10:38 (b) 10:18 (c) 11:28 (d) 10:28
- 10.What is the smaller angle between the hour hand and the minute hand at 9:07? (in degrees) =
- 11.A clock shows 3:21. What time will it show 161 minutes later? (a) 7:02 (b) 6:12 (c) 5:52 (d) 6:02
- 12.A clock shows 4:37. What time will it show 85 minutes later? (a) 5:52 (b) 7:02 (c) 6:12 (d) 6:02
- 13.A clock shows 8:53. What time will it show 140 minutes later? (a) 11:13 (b) 12:13 (c) 11:03 (d) 11:23
- 14.What is the smaller angle between the hour hand and the minute hand at 7:47? (in degrees) =
- 15.How many degrees does the hour hand of a clock turn in 56 minutes? =
- 16.What is the smaller angle between the hour hand and the minute hand at 3:57? (in degrees) =
- 17.A clock shows 8:57. What time will it show 140 minutes later? (a) 11:17 (b) 12:17 (c) 11:07 (d) 11:27
- 18.How many degrees does the hour hand of a clock turn in 161 minutes? =
- 19.What is the smaller angle between the hour hand and the minute hand at 10:24? (in degrees) =
- 20.How many degrees does the minute hand of a clock turn in 15 minutes? =
- 21.A clock shows 1:51. What time will it show 13 minutes later? (a) 2:14 (b) 3:04 (c) 2:04 (d) 1:54
- 22.How many degrees does the minute hand of a clock turn in 48 minutes? =
- 23.How many degrees does the hour hand of a clock turn in 73 minutes? =
- 24.What is the smaller angle between the hour hand and the minute hand at 1:26? (in degrees) =
- 25.What is the smaller angle between the hour hand and the minute hand at 12:13? (in degrees) =
- 26.What is the smaller angle between the hour hand and the minute hand at 11:30? (in degrees) =
- 27.How many degrees does the hour hand of a clock turn in 57 minutes? =
- 28.A clock shows 11:57. What time will it show 40 minutes later? (a) 12:47 (b) 1:37 (c) 12:27 (d) 12:37
- 29.What is the smaller angle between the hour hand and the minute hand at 9:32? (in degrees) =
- 30.What is the smaller angle between the hour hand and the minute hand at 1:47? (in degrees) =
- 31.A clock shows 4:33. What time will it show 34 minutes later? (a) 5:17 (b) 4:57 (c) 6:07 (d) 5:07
- 32.What is the smaller angle between the hour hand and the minute hand at 9:45? (in degrees) =
- 33.How many degrees does the hour hand of a clock turn in 135 minutes? =
- 34.What is the smaller angle between the hour hand and the minute hand at 11:13? (in degrees) =
- 35.A clock shows 10:27. What time will it show 107 minutes later? (a) 12:24 (b) 1:14 (c) 12:14 (d) 12:04
- 36.How many degrees does the hour hand of a clock turn in 167 minutes? =
- 37.What is the smaller angle between the hour hand and the minute hand at 8:46? (in degrees) =
- 38.A clock shows 1:56. What time will it show 16 minutes later? (a) 2:02 (b) 2:22 (c) 2:12 (d) 3:12
- 39.What is the smaller angle between the hour hand and the minute hand at 8:38? (in degrees) =
- 40.A clock shows 11:11. What time will it show 152 minutes later? (a) 2:43 (b) 1:53 (c) 1:43 (d) 1:33
Answer key
- 6:31
- 100
- 75
- 144.5
- 4:50
- 65.5
- 56
- 9:35
- 10:28
- 128.5
- 6:02
- 6:02
- 11:13
- 48.5
- 28
- 136.5
- 11:17
- 80.5
- 168
- 90
- 2:04
- 288
- 36.5
- 113
- 71.5
- 165
- 28.5
- 12:37
- 94
- 131.5
- 5:07
- 22.5
- 67.5
- 101.5
- 12:14
- 83.5
- 13
- 2:12
- 31
- 1:43
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