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.How many degrees does the hour hand of a clock turn in 20 minutes? =
- 2.What is the smaller angle between the hour hand and the minute hand at 12:54? (in degrees) =
- 3.What is the smaller angle between the hour hand and the minute hand at 4:43? (in degrees) =
- 4.How many degrees does the minute hand of a clock turn in 34 minutes? =
- 5.How many degrees does the hour hand of a clock turn in 45 minutes? =
- 6.What is the smaller angle between the hour hand and the minute hand at 8:43? (in degrees) =
- 7.A clock shows 4:07. What time will it show 81 minutes later? (a) 5:38 (b) 5:18 (c) 6:28 (d) 5:28
- 8.A clock shows 11:16. What time will it show 114 minutes later? (a) 1:00 (b) 1:20 (c) 2:10 (d) 1:10
- 9.How many degrees does the minute hand of a clock turn in 57 minutes? =
- 10.What is the smaller angle between the hour hand and the minute hand at 10:02? (in degrees) =
- 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 1:08? (in degrees) =
- 13.How many degrees does the minute hand of a clock turn in 10 minutes? =
- 14.What is the smaller angle between the hour hand and the minute hand at 5:10? (in degrees) =
- 15.What is the smaller angle between the hour hand and the minute hand at 4:04? (in degrees) =
- 16.A clock shows 6:38. What time will it show 42 minutes later? (a) 7:10 (b) 8:20 (c) 7:20 (d) 7:30
- 17.What is the smaller angle between the hour hand and the minute hand at 10:26? (in degrees) =
- 18.How many degrees does the minute hand of a clock turn in 31 minutes? =
- 19.What is the smaller angle between the hour hand and the minute hand at 4:41? (in degrees) =
- 20.What is the smaller angle between the hour hand and the minute hand at 10:36? (in degrees) =
- 21.A clock shows 1:28. What time will it show 106 minutes later? (a) 3:24 (b) 4:14 (c) 3:04 (d) 3:14
- 22.What is the smaller angle between the hour hand and the minute hand at 7:28? (in degrees) =
- 23.How many degrees does the minute hand of a clock turn in 50 minutes? =
- 24.A clock shows 5:43. What time will it show 25 minutes later? (a) 6:18 (b) 6:08 (c) 7:08 (d) 5:58
- 25.How many degrees does the hour hand of a clock turn in 32 minutes? =
- 26.A clock shows 9:49. What time will it show 132 minutes later? (a) 1:01 (b) 11:51 (c) 12:01 (d) 12:11
- 27.What is the smaller angle between the hour hand and the minute hand at 8:10? (in degrees) =
- 28.What is the smaller angle between the hour hand and the minute hand at 8:09? (in degrees) =
- 29.What is the smaller angle between the hour hand and the minute hand at 9:44? (in degrees) =
- 30.How many degrees does the hour hand of a clock turn in 74 minutes? =
- 31.A clock shows 9:57. What time will it show 78 minutes later? (a) 11:25 (b) 12:15 (c) 11:15 (d) 11:05
- 32.A clock shows 3:22. What time will it show 25 minutes later? (a) 3:37 (b) 4:47 (c) 3:47 (d) 3:57
- 33.How many degrees does the hour hand of a clock turn in 164 minutes? =
- 34.How many degrees does the minute hand of a clock turn in 2 minutes? =
- 35.A clock shows 7:14. What time will it show 35 minutes later? (a) 7:49 (b) 8:49 (c) 7:59 (d) 7:39
- 36.A clock shows 3:05. What time will it show 16 minutes later? (a) 4:21 (b) 3:11 (c) 3:21 (d) 3:31
- 37.How many degrees does the hour hand of a clock turn in 77 minutes? =
- 38.A clock shows 2:46. What time will it show 111 minutes later? (a) 4:47 (b) 4:37 (c) 5:37 (d) 4:27
- 39.How many degrees does the hour hand of a clock turn in 97 minutes? =
- 40.What is the smaller angle between the hour hand and the minute hand at 10:55? (in degrees) =
Answer key
- 10
- 63
- 116.5
- 204
- 22.5
- 3.5
- 5:28
- 1:10
- 342
- 71
- 38.5
- 14
- 60
- 95
- 98
- 7:20
- 157
- 186
- 105.5
- 102
- 3:14
- 56
- 300
- 6:08
- 16
- 12:01
- 175
- 169.5
- 28
- 37
- 11:15
- 3:47
- 82
- 12
- 7:49
- 3:21
- 38.5
- 4:37
- 48.5
- 2.5
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