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 8:00? (in degrees) =
- 2.What is the smaller angle between the hour hand and the minute hand at 8:21? (in degrees) =
- 3.A clock shows 2:38. What time will it show 118 minutes later? (a) 4:26 (b) 4:46 (c) 4:36 (d) 5:36
- 4.What is the smaller angle between the hour hand and the minute hand at 12:05? (in degrees) =
- 5.How many degrees does the minute hand of a clock turn in 25 minutes? =
- 6.How many degrees does the minute hand of a clock turn in 20 minutes? =
- 7.How many degrees does the minute hand of a clock turn in 39 minutes? =
- 8.What is the smaller angle between the hour hand and the minute hand at 2:21? (in degrees) =
- 9.What is the smaller angle between the hour hand and the minute hand at 2:57? (in degrees) =
- 10.How many degrees does the hour hand of a clock turn in 48 minutes? =
- 11.What is the smaller angle between the hour hand and the minute hand at 5:31? (in degrees) =
- 12.A clock shows 4:49. What time will it show 81 minutes later? (a) 6:20 (b) 6:00 (c) 6:10 (d) 7:10
- 13.What is the smaller angle between the hour hand and the minute hand at 12:07? (in degrees) =
- 14.How many degrees does the minute hand of a clock turn in 24 minutes? =
- 15.How many degrees does the hour hand of a clock turn in 172 minutes? =
- 16.What is the smaller angle between the hour hand and the minute hand at 9:32? (in degrees) =
- 17.How many degrees does the hour hand of a clock turn in 96 minutes? =
- 18.What is the smaller angle between the hour hand and the minute hand at 4:10? (in degrees) =
- 19.A clock shows 6:23. What time will it show 18 minutes later? (a) 6:51 (b) 6:41 (c) 6:31 (d) 7:41
- 20.What is the smaller angle between the hour hand and the minute hand at 8:52? (in degrees) =
- 21.A clock shows 2:12. What time will it show 25 minutes later? (a) 2:47 (b) 2:37 (c) 2:27 (d) 3:37
- 22.What is the smaller angle between the hour hand and the minute hand at 3:54? (in degrees) =
- 23.How many degrees does the minute hand of a clock turn in 3 minutes? =
- 24.What is the smaller angle between the hour hand and the minute hand at 12:49? (in degrees) =
- 25.How many degrees does the hour hand of a clock turn in 89 minutes? =
- 26.A clock shows 9:53. What time will it show 115 minutes later? (a) 11:48 (b) 11:58 (c) 11:38 (d) 12:48
- 27.How many degrees does the hour hand of a clock turn in 112 minutes? =
- 28.What is the smaller angle between the hour hand and the minute hand at 1:36? (in degrees) =
- 29.A clock shows 2:51. What time will it show 47 minutes later? (a) 3:28 (b) 3:48 (c) 4:38 (d) 3:38
- 30.What is the smaller angle between the hour hand and the minute hand at 10:30? (in degrees) =
- 31.How many degrees does the hour hand of a clock turn in 94 minutes? =
- 32.A clock shows 2:53. What time will it show 162 minutes later? (a) 5:25 (b) 5:35 (c) 6:35 (d) 5:45
- 33.A clock shows 4:29. What time will it show 107 minutes later? (a) 6:26 (b) 6:16 (c) 6:06 (d) 7:16
- 34.What is the smaller angle between the hour hand and the minute hand at 12:04? (in degrees) =
- 35.What is the smaller angle between the hour hand and the minute hand at 2:53? (in degrees) =
- 36.What is the smaller angle between the hour hand and the minute hand at 6:10? (in degrees) =
- 37.What is the smaller angle between the hour hand and the minute hand at 9:55? (in degrees) =
- 38.A clock shows 10:30. What time will it show 100 minutes later? (a) 12:10 (b) 1:10 (c) 12:00 (d) 12:20
- 39.A clock shows 10:37. What time will it show 31 minutes later? (a) 10:58 (b) 12:08 (c) 11:08 (d) 11:18
- 40.What is the smaller angle between the hour hand and the minute hand at 4:33? (in degrees) =
Answer key
- 120
- 124.5
- 4:36
- 27.5
- 150
- 120
- 234
- 55.5
- 106.5
- 24
- 20.5
- 6:10
- 38.5
- 144
- 86
- 94
- 48
- 65
- 6:41
- 46
- 2:37
- 153
- 18
- 90.5
- 44.5
- 11:48
- 56
- 168
- 3:38
- 135
- 47
- 5:35
- 6:16
- 22
- 128.5
- 125
- 32.5
- 12:10
- 11:08
- 61.5
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