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 3:40. What time will it show 111 minutes later? (a) 5:41 (b) 5:21 (c) 5:31 (d) 6:31
- 2.What is the smaller angle between the hour hand and the minute hand at 12:03? (in degrees) =
- 3.How many degrees does the minute hand of a clock turn in 9 minutes? =
- 4.A clock shows 9:24. What time will it show 43 minutes later? (a) 9:57 (b) 10:07 (c) 10:17 (d) 11:07
- 5.What is the smaller angle between the hour hand and the minute hand at 9:05? (in degrees) =
- 6.A clock shows 2:28. What time will it show 99 minutes later? (a) 5:07 (b) 4:07 (c) 3:57 (d) 4:17
- 7.What is the smaller angle between the hour hand and the minute hand at 10:36? (in degrees) =
- 8.What is the smaller angle between the hour hand and the minute hand at 10:21? (in degrees) =
- 9.How many degrees does the hour hand of a clock turn in 43 minutes? =
- 10.How many degrees does the minute hand of a clock turn in 25 minutes? =
- 11.What is the smaller angle between the hour hand and the minute hand at 11:48? (in degrees) =
- 12.What is the smaller angle between the hour hand and the minute hand at 8:51? (in degrees) =
- 13.A clock shows 11:41. What time will it show 59 minutes later? (a) 12:40 (b) 1:40 (c) 12:30 (d) 12:50
- 14.How many degrees does the minute hand of a clock turn in 27 minutes? =
- 15.A clock shows 2:55. What time will it show 32 minutes later? (a) 3:17 (b) 3:37 (c) 3:27 (d) 4:27
- 16.How many degrees does the minute hand of a clock turn in 8 minutes? =
- 17.What is the smaller angle between the hour hand and the minute hand at 2:14? (in degrees) =
- 18.A clock shows 12:28. What time will it show 34 minutes later? (a) 1:12 (b) 2:02 (c) 1:02 (d) 12:52
- 19.What is the smaller angle between the hour hand and the minute hand at 8:16? (in degrees) =
- 20.A clock shows 10:54. What time will it show 37 minutes later? (a) 11:41 (b) 11:21 (c) 12:31 (d) 11:31
- 21.What is the smaller angle between the hour hand and the minute hand at 12:25? (in degrees) =
- 22.A clock shows 4:21. What time will it show 91 minutes later? (a) 6:02 (b) 5:52 (c) 6:52 (d) 5:42
- 23.How many degrees does the hour hand of a clock turn in 163 minutes? =
- 24.How many degrees does the minute hand of a clock turn in 48 minutes? =
- 25.A clock shows 1:47. What time will it show 23 minutes later? (a) 2:20 (b) 3:10 (c) 2:00 (d) 2:10
- 26.What is the smaller angle between the hour hand and the minute hand at 8:03? (in degrees) =
- 27.A clock shows 5:17. What time will it show 158 minutes later? (a) 7:55 (b) 8:05 (c) 8:55 (d) 7:45
- 28.What is the smaller angle between the hour hand and the minute hand at 5:46? (in degrees) =
- 29.What is the smaller angle between the hour hand and the minute hand at 2:00? (in degrees) =
- 30.What is the smaller angle between the hour hand and the minute hand at 2:23? (in degrees) =
- 31.How many degrees does the minute hand of a clock turn in 44 minutes? =
- 32.A clock shows 4:52. What time will it show 16 minutes later? (a) 5:08 (b) 4:58 (c) 6:08 (d) 5:18
- 33.What is the smaller angle between the hour hand and the minute hand at 1:41? (in degrees) =
- 34.What is the smaller angle between the hour hand and the minute hand at 7:00? (in degrees) =
- 35.A clock shows 4:01. What time will it show 67 minutes later? (a) 4:58 (b) 5:08 (c) 6:08 (d) 5:18
- 36.A clock shows 9:52. What time will it show 20 minutes later? (a) 10:22 (b) 10:02 (c) 11:12 (d) 10:12
- 37.How many degrees does the minute hand of a clock turn in 49 minutes? =
- 38.How many degrees does the hour hand of a clock turn in 36 minutes? =
- 39.How many degrees does the hour hand of a clock turn in 67 minutes? =
- 40.How many degrees does the hour hand of a clock turn in 42 minutes? =
Answer key
- 5:31
- 16.5
- 54
- 10:07
- 117.5
- 4:07
- 102
- 175.5
- 21.5
- 150
- 66
- 40.5
- 12:40
- 162
- 3:27
- 48
- 17
- 1:02
- 152
- 11:31
- 137.5
- 5:52
- 81.5
- 288
- 2:10
- 136.5
- 7:55
- 103
- 60
- 66.5
- 264
- 5:08
- 164.5
- 150
- 5:08
- 10:12
- 294
- 18
- 33.5
- 21
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