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 9:00? (in degrees) =
- 2.A clock shows 6:45. What time will it show 103 minutes later? (a) 9:28 (b) 8:38 (c) 8:18 (d) 8:28
- 3.What is the smaller angle between the hour hand and the minute hand at 6:03? (in degrees) =
- 4.What is the smaller angle between the hour hand and the minute hand at 4:54? (in degrees) =
- 5.What is the smaller angle between the hour hand and the minute hand at 5:48? (in degrees) =
- 6.A clock shows 10:01. What time will it show 129 minutes later? (a) 12:10 (b) 12:00 (c) 1:10 (d) 12:20
- 7.How many degrees does the minute hand of a clock turn in 30 minutes? =
- 8.What is the smaller angle between the hour hand and the minute hand at 3:45? (in degrees) =
- 9.A clock shows 1:25. What time will it show 152 minutes later? (a) 3:47 (b) 4:57 (c) 4:07 (d) 3:57
- 10.What is the smaller angle between the hour hand and the minute hand at 4:28? (in degrees) =
- 11.How many degrees does the minute hand of a clock turn in 14 minutes? =
- 12.How many degrees does the minute hand of a clock turn in 21 minutes? =
- 13.What is the smaller angle between the hour hand and the minute hand at 3:53? (in degrees) =
- 14.How many degrees does the minute hand of a clock turn in 45 minutes? =
- 15.What is the smaller angle between the hour hand and the minute hand at 1:43? (in degrees) =
- 16.What is the smaller angle between the hour hand and the minute hand at 12:47? (in degrees) =
- 17.How many degrees does the minute hand of a clock turn in 18 minutes? =
- 18.What is the smaller angle between the hour hand and the minute hand at 6:07? (in degrees) =
- 19.How many degrees does the minute hand of a clock turn in 58 minutes? =
- 20.How many degrees does the minute hand of a clock turn in 11 minutes? =
- 21.How many degrees does the minute hand of a clock turn in 20 minutes? =
- 22.A clock shows 3:09. What time will it show 10 minutes later? (a) 3:09 (b) 3:29 (c) 3:19 (d) 4:19
- 23.How many degrees does the hour hand of a clock turn in 134 minutes? =
- 24.How many degrees does the minute hand of a clock turn in 16 minutes? =
- 25.What is the smaller angle between the hour hand and the minute hand at 11:11? (in degrees) =
- 26.How many degrees does the minute hand of a clock turn in 37 minutes? =
- 27.What is the smaller angle between the hour hand and the minute hand at 7:09? (in degrees) =
- 28.A clock shows 2:22. What time will it show 108 minutes later? (a) 4:00 (b) 4:20 (c) 4:10 (d) 5:10
- 29.A clock shows 8:13. What time will it show 162 minutes later? (a) 10:55 (b) 11:55 (c) 10:45 (d) 11:05
- 30.How many degrees does the hour hand of a clock turn in 71 minutes? =
- 31.A clock shows 11:04. What time will it show 30 minutes later? (a) 11:44 (b) 12:34 (c) 11:24 (d) 11:34
- 32.A clock shows 3:01. What time will it show 51 minutes later? (a) 4:52 (b) 3:42 (c) 4:02 (d) 3:52
- 33.A clock shows 12:54. What time will it show 47 minutes later? (a) 2:41 (b) 1:41 (c) 1:51 (d) 1:31
- 34.What is the smaller angle between the hour hand and the minute hand at 12:49? (in degrees) =
- 35.A clock shows 6:23. What time will it show 135 minutes later? (a) 8:28 (b) 8:48 (c) 9:38 (d) 8:38
- 36.How many degrees does the hour hand of a clock turn in 67 minutes? =
- 37.What is the smaller angle between the hour hand and the minute hand at 8:39? (in degrees) =
- 38.What is the smaller angle between the hour hand and the minute hand at 5:00? (in degrees) =
- 39.A clock shows 9:14. What time will it show 23 minutes later? (a) 10:37 (b) 9:47 (c) 9:37 (d) 9:27
- 40.What is the smaller angle between the hour hand and the minute hand at 1:30? (in degrees) =
Answer key
- 90
- 8:28
- 163.5
- 177
- 114
- 12:10
- 180
- 157.5
- 3:57
- 34
- 84
- 126
- 158.5
- 270
- 153.5
- 101.5
- 108
- 141.5
- 348
- 66
- 120
- 3:19
- 67
- 96
- 90.5
- 222
- 160.5
- 4:10
- 10:55
- 35.5
- 11:34
- 3:52
- 1:41
- 90.5
- 8:38
- 33.5
- 25.5
- 150
- 9:37
- 135
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