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 minute hand of a clock turn in 26 minutes? =
- 2.A clock shows 11:08. What time will it show 110 minutes later? (a) 1:08 (b) 12:58 (c) 1:58 (d) 12:48
- 3.A clock shows 11:16. What time will it show 25 minutes later? (a) 12:41 (b) 11:41 (c) 11:51 (d) 11:31
- 4.A clock shows 12:20. What time will it show 118 minutes later? (a) 3:18 (b) 2:28 (c) 2:18 (d) 2:08
- 5.How many degrees does the minute hand of a clock turn in 30 minutes? =
- 6.A clock shows 6:06. What time will it show 145 minutes later? (a) 8:41 (b) 9:31 (c) 8:21 (d) 8:31
- 7.What is the smaller angle between the hour hand and the minute hand at 5:00? (in degrees) =
- 8.What is the smaller angle between the hour hand and the minute hand at 3:36? (in degrees) =
- 9.How many degrees does the hour hand of a clock turn in 126 minutes? =
- 10.A clock shows 12:31. What time will it show 85 minutes later? (a) 2:56 (b) 2:06 (c) 1:56 (d) 1:46
- 11.How many degrees does the minute hand of a clock turn in 37 minutes? =
- 12.What is the smaller angle between the hour hand and the minute hand at 11:55? (in degrees) =
- 13.How many degrees does the hour hand of a clock turn in 49 minutes? =
- 14.What is the smaller angle between the hour hand and the minute hand at 3:49? (in degrees) =
- 15.A clock shows 1:13. What time will it show 86 minutes later? (a) 3:39 (b) 2:39 (c) 2:49 (d) 2:29
- 16.How many degrees does the minute hand of a clock turn in 49 minutes? =
- 17.How many degrees does the minute hand of a clock turn in 19 minutes? =
- 18.A clock shows 5:58. What time will it show 120 minutes later? (a) 8:08 (b) 8:58 (c) 7:58 (d) 7:48
- 19.A clock shows 12:24. What time will it show 159 minutes later? (a) 3:13 (b) 4:03 (c) 2:53 (d) 3:03
- 20.What is the smaller angle between the hour hand and the minute hand at 2:33? (in degrees) =
- 21.How many degrees does the minute hand of a clock turn in 11 minutes? =
- 22.How many degrees does the hour hand of a clock turn in 158 minutes? =
- 23.A clock shows 2:27. What time will it show 40 minutes later? (a) 4:07 (b) 3:07 (c) 2:57 (d) 3:17
- 24.A clock shows 11:12. What time will it show 40 minutes later? (a) 11:42 (b) 12:02 (c) 11:52 (d) 12:52
- 25.How many degrees does the hour hand of a clock turn in 56 minutes? =
- 26.How many degrees does the hour hand of a clock turn in 55 minutes? =
- 27.How many degrees does the hour hand of a clock turn in 18 minutes? =
- 28.How many degrees does the hour hand of a clock turn in 122 minutes? =
- 29.What is the smaller angle between the hour hand and the minute hand at 12:45? (in degrees) =
- 30.What is the smaller angle between the hour hand and the minute hand at 7:49? (in degrees) =
- 31.A clock shows 10:46. What time will it show 16 minutes later? (a) 12:02 (b) 11:02 (c) 11:12 (d) 10:52
- 32.A clock shows 7:58. What time will it show 46 minutes later? (a) 8:34 (b) 8:54 (c) 9:44 (d) 8:44
- 33.How many degrees does the hour hand of a clock turn in 54 minutes? =
- 34.A clock shows 12:37. What time will it show 21 minutes later? (a) 12:48 (b) 12:58 (c) 1:58 (d) 1:08
- 35.What is the smaller angle between the hour hand and the minute hand at 7:53? (in degrees) =
- 36.A clock shows 2:11. What time will it show 59 minutes later? (a) 3:10 (b) 3:20 (c) 4:10 (d) 3:00
- 37.What is the smaller angle between the hour hand and the minute hand at 3:30? (in degrees) =
- 38.A clock shows 6:30. What time will it show 138 minutes later? (a) 8:38 (b) 8:58 (c) 9:48 (d) 8:48
- 39.How many degrees does the hour hand of a clock turn in 62 minutes? =
- 40.A clock shows 3:30. What time will it show 57 minutes later? (a) 4:17 (b) 4:27 (c) 4:37 (d) 5:27
Answer key
- 156
- 12:58
- 11:41
- 2:18
- 180
- 8:31
- 150
- 108
- 63
- 1:56
- 222
- 27.5
- 24.5
- 179.5
- 2:39
- 294
- 114
- 7:58
- 3:03
- 121.5
- 66
- 79
- 3:07
- 11:52
- 28
- 27.5
- 9
- 61
- 112.5
- 59.5
- 11:02
- 8:44
- 27
- 12:58
- 81.5
- 3:10
- 75
- 8:48
- 31
- 4:27
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