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 4:07? (in degrees) =
- 2.What is the smaller angle between the hour hand and the minute hand at 4:53? (in degrees) =
- 3.A clock shows 7:12. What time will it show 141 minutes later? (a) 9:43 (b) 9:33 (c) 9:23 (d) 10:33
- 4.How many degrees does the hour hand of a clock turn in 16 minutes? =
- 5.What is the smaller angle between the hour hand and the minute hand at 12:09? (in degrees) =
- 6.A clock shows 4:46. What time will it show 66 minutes later? (a) 6:52 (b) 6:02 (c) 5:52 (d) 5:42
- 7.What is the smaller angle between the hour hand and the minute hand at 4:18? (in degrees) =
- 8.A clock shows 5:31. What time will it show 50 minutes later? (a) 6:31 (b) 7:21 (c) 6:11 (d) 6:21
- 9.What is the smaller angle between the hour hand and the minute hand at 5:43? (in degrees) =
- 10.How many degrees does the hour hand of a clock turn in 46 minutes? =
- 11.What is the smaller angle between the hour hand and the minute hand at 2:28? (in degrees) =
- 12.What is the smaller angle between the hour hand and the minute hand at 5:07? (in degrees) =
- 13.How many degrees does the minute hand of a clock turn in 10 minutes? =
- 14.How many degrees does the minute hand of a clock turn in 7 minutes? =
- 15.How many degrees does the hour hand of a clock turn in 44 minutes? =
- 16.What is the smaller angle between the hour hand and the minute hand at 10:12? (in degrees) =
- 17.A clock shows 3:28. What time will it show 80 minutes later? (a) 4:38 (b) 4:48 (c) 4:58 (d) 5:48
- 18.What is the smaller angle between the hour hand and the minute hand at 3:36? (in degrees) =
- 19.A clock shows 1:31. What time will it show 110 minutes later? (a) 3:31 (b) 4:21 (c) 3:11 (d) 3:21
- 20.How many degrees does the minute hand of a clock turn in 36 minutes? =
- 21.How many degrees does the hour hand of a clock turn in 37 minutes? =
- 22.What is the smaller angle between the hour hand and the minute hand at 10:14? (in degrees) =
- 23.How many degrees does the hour hand of a clock turn in 32 minutes? =
- 24.How many degrees does the minute hand of a clock turn in 17 minutes? =
- 25.What is the smaller angle between the hour hand and the minute hand at 1:35? (in degrees) =
- 26.What is the smaller angle between the hour hand and the minute hand at 10:31? (in degrees) =
- 27.A clock shows 2:33. What time will it show 46 minutes later? (a) 3:09 (b) 3:29 (c) 4:19 (d) 3:19
- 28.How many degrees does the hour hand of a clock turn in 20 minutes? =
- 29.How many degrees does the hour hand of a clock turn in 25 minutes? =
- 30.A clock shows 1:40. What time will it show 82 minutes later? (a) 2:52 (b) 3:12 (c) 4:02 (d) 3:02
- 31.A clock shows 9:49. What time will it show 116 minutes later? (a) 11:55 (b) 12:45 (c) 11:35 (d) 11:45
- 32.What is the smaller angle between the hour hand and the minute hand at 8:24? (in degrees) =
- 33.A clock shows 9:53. What time will it show 74 minutes later? (a) 10:57 (b) 11:17 (c) 12:07 (d) 11:07
- 34.How many degrees does the minute hand of a clock turn in 59 minutes? =
- 35.A clock shows 10:32. What time will it show 131 minutes later? (a) 1:43 (b) 12:53 (c) 12:43 (d) 12:33
- 36.How many degrees does the minute hand of a clock turn in 20 minutes? =
- 37.What is the smaller angle between the hour hand and the minute hand at 3:03? (in degrees) =
- 38.What is the smaller angle between the hour hand and the minute hand at 4:08? (in degrees) =
- 39.A clock shows 12:06. What time will it show 29 minutes later? (a) 12:45 (b) 1:35 (c) 12:25 (d) 12:35
- 40.What is the smaller angle between the hour hand and the minute hand at 3:00? (in degrees) =
Answer key
- 81.5
- 171.5
- 9:33
- 8
- 49.5
- 5:52
- 21
- 6:21
- 86.5
- 23
- 94
- 111.5
- 60
- 42
- 22
- 126
- 4:48
- 108
- 3:21
- 216
- 18.5
- 137
- 16
- 102
- 162.5
- 129.5
- 3:19
- 10
- 12.5
- 3:02
- 11:45
- 108
- 11:07
- 354
- 12:43
- 120
- 73.5
- 76
- 12:35
- 90
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