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 hour hand of a clock turn in 82 minutes? =
- 2.What is the smaller angle between the hour hand and the minute hand at 3:37? (in degrees) =
- 3.What is the smaller angle between the hour hand and the minute hand at 11:40? (in degrees) =
- 4.A clock shows 5:49. What time will it show 150 minutes later? (a) 8:09 (b) 9:19 (c) 8:29 (d) 8:19
- 5.How many degrees does the minute hand of a clock turn in 34 minutes? =
- 6.How many degrees does the minute hand of a clock turn in 41 minutes? =
- 7.What is the smaller angle between the hour hand and the minute hand at 12:39? (in degrees) =
- 8.How many degrees does the minute hand of a clock turn in 13 minutes? =
- 9.What is the smaller angle between the hour hand and the minute hand at 6:35? (in degrees) =
- 10.A clock shows 5:52. What time will it show 10 minutes later? (a) 6:02 (b) 5:52 (c) 7:02 (d) 6:12
- 11.How many degrees does the minute hand of a clock turn in 38 minutes? =
- 12.How many degrees does the hour hand of a clock turn in 45 minutes? =
- 13.A clock shows 11:34. What time will it show 136 minutes later? (a) 2:00 (b) 2:50 (c) 1:50 (d) 1:40
- 14.What is the smaller angle between the hour hand and the minute hand at 2:24? (in degrees) =
- 15.A clock shows 7:01. What time will it show 29 minutes later? (a) 8:30 (b) 7:40 (c) 7:30 (d) 7:20
- 16.What is the smaller angle between the hour hand and the minute hand at 5:28? (in degrees) =
- 17.How many degrees does the minute hand of a clock turn in 4 minutes? =
- 18.A clock shows 3:37. What time will it show 113 minutes later? (a) 5:20 (b) 6:30 (c) 5:40 (d) 5:30
- 19.A clock shows 4:59. What time will it show 139 minutes later? (a) 8:18 (b) 7:08 (c) 7:28 (d) 7:18
- 20.How many degrees does the hour hand of a clock turn in 121 minutes? =
- 21.What is the smaller angle between the hour hand and the minute hand at 7:24? (in degrees) =
- 22.How many degrees does the hour hand of a clock turn in 155 minutes? =
- 23.How many degrees does the minute hand of a clock turn in 48 minutes? =
- 24.A clock shows 8:10. What time will it show 96 minutes later? (a) 10:46 (b) 9:46 (c) 9:56 (d) 9:36
- 25.What is the smaller angle between the hour hand and the minute hand at 4:07? (in degrees) =
- 26.A clock shows 4:53. What time will it show 168 minutes later? (a) 7:51 (b) 7:31 (c) 7:41 (d) 8:41
- 27.How many degrees does the minute hand of a clock turn in 37 minutes? =
- 28.How many degrees does the hour hand of a clock turn in 41 minutes? =
- 29.How many degrees does the minute hand of a clock turn in 7 minutes? =
- 30.A clock shows 6:01. What time will it show 17 minutes later? (a) 7:18 (b) 6:18 (c) 6:28 (d) 6:08
- 31.How many degrees does the minute hand of a clock turn in 40 minutes? =
- 32.A clock shows 9:37. What time will it show 148 minutes later? (a) 12:05 (b) 12:15 (c) 11:55 (d) 1:05
- 33.What is the smaller angle between the hour hand and the minute hand at 5:25? (in degrees) =
- 34.What is the smaller angle between the hour hand and the minute hand at 10:54? (in degrees) =
- 35.What is the smaller angle between the hour hand and the minute hand at 4:12? (in degrees) =
- 36.A clock shows 6:18. What time will it show 62 minutes later? (a) 7:30 (b) 8:20 (c) 7:20 (d) 7:10
- 37.How many degrees does the minute hand of a clock turn in 56 minutes? =
- 38.What is the smaller angle between the hour hand and the minute hand at 8:55? (in degrees) =
- 39.How many degrees does the minute hand of a clock turn in 45 minutes? =
- 40.What is the smaller angle between the hour hand and the minute hand at 11:19? (in degrees) =
Answer key
- 41
- 113.5
- 110
- 8:19
- 204
- 246
- 145.5
- 78
- 12.5
- 6:02
- 228
- 22.5
- 1:50
- 72
- 7:30
- 4
- 24
- 5:30
- 7:18
- 60.5
- 78
- 77.5
- 288
- 9:46
- 81.5
- 7:41
- 222
- 20.5
- 42
- 6:18
- 240
- 12:05
- 12.5
- 3
- 54
- 7:20
- 336
- 62.5
- 270
- 134.5
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