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 37 minutes? =
- 2.A clock shows 12:21. What time will it show 47 minutes later? (a) 12:58 (b) 2:08 (c) 1:18 (d) 1:08
- 3.How many degrees does the hour hand of a clock turn in 37 minutes? =
- 4.How many degrees does the minute hand of a clock turn in 45 minutes? =
- 5.How many degrees does the hour hand of a clock turn in 45 minutes? =
- 6.How many degrees does the minute hand of a clock turn in 6 minutes? =
- 7.A clock shows 3:26. What time will it show 102 minutes later? (a) 5:08 (b) 6:08 (c) 5:18 (d) 4:58
- 8.What is the smaller angle between the hour hand and the minute hand at 10:29? (in degrees) =
- 9.A clock shows 4:27. What time will it show 67 minutes later? (a) 5:24 (b) 6:34 (c) 5:34 (d) 5:44
- 10.How many degrees does the minute hand of a clock turn in 57 minutes? =
- 11.What is the smaller angle between the hour hand and the minute hand at 6:22? (in degrees) =
- 12.A clock shows 8:25. What time will it show 146 minutes later? (a) 11:01 (b) 11:51 (c) 10:41 (d) 10:51
- 13.What is the smaller angle between the hour hand and the minute hand at 11:44? (in degrees) =
- 14.What is the smaller angle between the hour hand and the minute hand at 8:00? (in degrees) =
- 15.How many degrees does the minute hand of a clock turn in 49 minutes? =
- 16.A clock shows 12:49. What time will it show 159 minutes later? (a) 3:18 (b) 3:38 (c) 3:28 (d) 4:28
- 17.What is the smaller angle between the hour hand and the minute hand at 7:42? (in degrees) =
- 18.A clock shows 7:44. What time will it show 55 minutes later? (a) 8:39 (b) 8:49 (c) 8:29 (d) 9:39
- 19.A clock shows 2:05. What time will it show 103 minutes later? (a) 3:48 (b) 4:48 (c) 3:38 (d) 3:58
- 20.How many degrees does the minute hand of a clock turn in 40 minutes? =
- 21.What is the smaller angle between the hour hand and the minute hand at 9:10? (in degrees) =
- 22.How many degrees does the hour hand of a clock turn in 179 minutes? =
- 23.How many degrees does the hour hand of a clock turn in 113 minutes? =
- 24.How many degrees does the minute hand of a clock turn in 28 minutes? =
- 25.A clock shows 10:06. What time will it show 16 minutes later? (a) 10:32 (b) 10:22 (c) 10:12 (d) 11:22
- 26.A clock shows 2:39. What time will it show 95 minutes later? (a) 4:24 (b) 4:14 (c) 4:04 (d) 5:14
- 27.What is the smaller angle between the hour hand and the minute hand at 3:31? (in degrees) =
- 28.A clock shows 9:29. What time will it show 102 minutes later? (a) 11:11 (b) 11:01 (c) 11:21 (d) 12:11
- 29.A clock shows 9:25. What time will it show 48 minutes later? (a) 10:13 (b) 11:13 (c) 10:03 (d) 10:23
- 30.A clock shows 11:27. What time will it show 127 minutes later? (a) 1:24 (b) 2:34 (c) 1:34 (d) 1:44
- 31.A clock shows 9:47. What time will it show 36 minutes later? (a) 11:23 (b) 10:33 (c) 10:13 (d) 10:23
- 32.A clock shows 12:07. What time will it show 165 minutes later? (a) 3:02 (b) 3:52 (c) 2:42 (d) 2:52
- 33.What is the smaller angle between the hour hand and the minute hand at 12:07? (in degrees) =
- 34.How many degrees does the minute hand of a clock turn in 21 minutes? =
- 35.A clock shows 3:59. What time will it show 51 minutes later? (a) 4:50 (b) 5:50 (c) 4:40 (d) 5:00
- 36.What is the smaller angle between the hour hand and the minute hand at 6:24? (in degrees) =
- 37.What is the smaller angle between the hour hand and the minute hand at 12:41? (in degrees) =
- 38.What is the smaller angle between the hour hand and the minute hand at 5:54? (in degrees) =
- 39.What is the smaller angle between the hour hand and the minute hand at 9:06? (in degrees) =
- 40.A clock shows 1:31. What time will it show 91 minutes later? (a) 3:02 (b) 4:02 (c) 2:52 (d) 3:12
Answer key
- 222
- 1:08
- 18.5
- 270
- 22.5
- 36
- 5:08
- 140.5
- 5:34
- 342
- 59
- 10:51
- 88
- 120
- 294
- 3:28
- 21
- 8:39
- 3:48
- 240
- 145
- 89.5
- 56.5
- 168
- 10:22
- 4:14
- 80.5
- 11:11
- 10:13
- 1:34
- 10:23
- 2:52
- 38.5
- 126
- 4:50
- 48
- 134.5
- 147
- 123
- 3:02
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