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 5:58. What time will it show 40 minutes later? (a) 6:38 (b) 6:28 (c) 6:48 (d) 7:38
- 2.How many degrees does the minute hand of a clock turn in 40 minutes? =
- 3.A clock shows 11:09. What time will it show 14 minutes later? (a) 12:23 (b) 11:23 (c) 11:13 (d) 11:33
- 4.What is the smaller angle between the hour hand and the minute hand at 1:09? (in degrees) =
- 5.What is the smaller angle between the hour hand and the minute hand at 8:25? (in degrees) =
- 6.A clock shows 2:29. What time will it show 146 minutes later? (a) 5:05 (b) 4:55 (c) 4:45 (d) 5:55
- 7.What is the smaller angle between the hour hand and the minute hand at 5:09? (in degrees) =
- 8.How many degrees does the minute hand of a clock turn in 22 minutes? =
- 9.How many degrees does the minute hand of a clock turn in 39 minutes? =
- 10.How many degrees does the hour hand of a clock turn in 94 minutes? =
- 11.What is the smaller angle between the hour hand and the minute hand at 11:56? (in degrees) =
- 12.What is the smaller angle between the hour hand and the minute hand at 7:12? (in degrees) =
- 13.A clock shows 10:54. What time will it show 116 minutes later? (a) 12:40 (b) 1:50 (c) 12:50 (d) 1:00
- 14.How many degrees does the hour hand of a clock turn in 126 minutes? =
- 15.How many degrees does the minute hand of a clock turn in 42 minutes? =
- 16.What is the smaller angle between the hour hand and the minute hand at 1:58? (in degrees) =
- 17.What is the smaller angle between the hour hand and the minute hand at 3:07? (in degrees) =
- 18.A clock shows 4:57. What time will it show 27 minutes later? (a) 5:24 (b) 6:24 (c) 5:34 (d) 5:14
- 19.A clock shows 5:20. What time will it show 129 minutes later? (a) 8:29 (b) 7:29 (c) 7:19 (d) 7:39
- 20.How many degrees does the hour hand of a clock turn in 168 minutes? =
- 21.How many degrees does the hour hand of a clock turn in 153 minutes? =
- 22.A clock shows 3:34. What time will it show 20 minutes later? (a) 4:54 (b) 3:44 (c) 4:04 (d) 3:54
- 23.What is the smaller angle between the hour hand and the minute hand at 11:32? (in degrees) =
- 24.How many degrees does the hour hand of a clock turn in 34 minutes? =
- 25.How many degrees does the hour hand of a clock turn in 33 minutes? =
- 26.A clock shows 2:30. What time will it show 132 minutes later? (a) 4:32 (b) 5:42 (c) 4:42 (d) 4:52
- 27.How many degrees does the hour hand of a clock turn in 177 minutes? =
- 28.What is the smaller angle between the hour hand and the minute hand at 4:28? (in degrees) =
- 29.What is the smaller angle between the hour hand and the minute hand at 9:44? (in degrees) =
- 30.What is the smaller angle between the hour hand and the minute hand at 5:37? (in degrees) =
- 31.What is the smaller angle between the hour hand and the minute hand at 11:34? (in degrees) =
- 32.What is the smaller angle between the hour hand and the minute hand at 12:59? (in degrees) =
- 33.What is the smaller angle between the hour hand and the minute hand at 2:32? (in degrees) =
- 34.What is the smaller angle between the hour hand and the minute hand at 6:11? (in degrees) =
- 35.A clock shows 11:30. What time will it show 13 minutes later? (a) 11:33 (b) 12:43 (c) 11:43 (d) 11:53
- 36.A clock shows 5:52. What time will it show 70 minutes later? (a) 7:02 (b) 8:02 (c) 6:52 (d) 7:12
- 37.What is the smaller angle between the hour hand and the minute hand at 4:33? (in degrees) =
- 38.A clock shows 9:32. What time will it show 134 minutes later? (a) 11:36 (b) 12:46 (c) 11:56 (d) 11:46
- 39.What is the smaller angle between the hour hand and the minute hand at 3:16? (in degrees) =
- 40.What is the smaller angle between the hour hand and the minute hand at 10:07? (in degrees) =
Answer key
- 6:38
- 240
- 11:23
- 19.5
- 102.5
- 4:55
- 100.5
- 132
- 234
- 47
- 22
- 144
- 12:50
- 63
- 252
- 71
- 51.5
- 5:24
- 7:29
- 84
- 76.5
- 3:54
- 154
- 17
- 16.5
- 4:42
- 88.5
- 34
- 28
- 53.5
- 143
- 35.5
- 116
- 119.5
- 11:43
- 7:02
- 61.5
- 11:46
- 2
- 98.5
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