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 10:54? (in degrees) =
- 2.How many degrees does the minute hand of a clock turn in 4 minutes? =
- 3.What is the smaller angle between the hour hand and the minute hand at 9:17? (in degrees) =
- 4.What is the smaller angle between the hour hand and the minute hand at 10:41? (in degrees) =
- 5.A clock shows 10:40. What time will it show 31 minutes later? (a) 11:21 (b) 11:01 (c) 12:11 (d) 11:11
- 6.A clock shows 3:57. What time will it show 72 minutes later? (a) 6:09 (b) 4:59 (c) 5:09 (d) 5:19
- 7.A clock shows 3:38. What time will it show 115 minutes later? (a) 6:33 (b) 5:33 (c) 5:43 (d) 5:23
- 8.What is the smaller angle between the hour hand and the minute hand at 4:05? (in degrees) =
- 9.What is the smaller angle between the hour hand and the minute hand at 9:35? (in degrees) =
- 10.What is the smaller angle between the hour hand and the minute hand at 9:38? (in degrees) =
- 11.What is the smaller angle between the hour hand and the minute hand at 4:40? (in degrees) =
- 12.A clock shows 7:22. What time will it show 140 minutes later? (a) 10:42 (b) 9:42 (c) 9:32 (d) 9:52
- 13.What is the smaller angle between the hour hand and the minute hand at 1:18? (in degrees) =
- 14.How many degrees does the hour hand of a clock turn in 126 minutes? =
- 15.What is the smaller angle between the hour hand and the minute hand at 6:55? (in degrees) =
- 16.What is the smaller angle between the hour hand and the minute hand at 1:04? (in degrees) =
- 17.How many degrees does the hour hand of a clock turn in 32 minutes? =
- 18.What is the smaller angle between the hour hand and the minute hand at 3:17? (in degrees) =
- 19.How many degrees does the minute hand of a clock turn in 34 minutes? =
- 20.What is the smaller angle between the hour hand and the minute hand at 11:48? (in degrees) =
- 21.What is the smaller angle between the hour hand and the minute hand at 1:02? (in degrees) =
- 22.What is the smaller angle between the hour hand and the minute hand at 6:14? (in degrees) =
- 23.How many degrees does the minute hand of a clock turn in 12 minutes? =
- 24.How many degrees does the hour hand of a clock turn in 51 minutes? =
- 25.What is the smaller angle between the hour hand and the minute hand at 12:14? (in degrees) =
- 26.How many degrees does the hour hand of a clock turn in 21 minutes? =
- 27.What is the smaller angle between the hour hand and the minute hand at 9:39? (in degrees) =
- 28.What is the smaller angle between the hour hand and the minute hand at 2:45? (in degrees) =
- 29.A clock shows 2:54. What time will it show 165 minutes later? (a) 5:49 (b) 5:29 (c) 6:39 (d) 5:39
- 30.What is the smaller angle between the hour hand and the minute hand at 8:03? (in degrees) =
- 31.What is the smaller angle between the hour hand and the minute hand at 9:41? (in degrees) =
- 32.A clock shows 10:20. What time will it show 106 minutes later? (a) 1:06 (b) 12:16 (c) 11:56 (d) 12:06
- 33.A clock shows 5:58. What time will it show 166 minutes later? (a) 8:54 (b) 9:44 (c) 8:34 (d) 8:44
- 34.How many degrees does the hour hand of a clock turn in 153 minutes? =
- 35.How many degrees does the minute hand of a clock turn in 19 minutes? =
- 36.What is the smaller angle between the hour hand and the minute hand at 5:54? (in degrees) =
- 37.What is the smaller angle between the hour hand and the minute hand at 10:04? (in degrees) =
- 38.How many degrees does the minute hand of a clock turn in 30 minutes? =
- 39.A clock shows 12:17. What time will it show 42 minutes later? (a) 1:09 (b) 12:49 (c) 1:59 (d) 12:59
- 40.How many degrees does the hour hand of a clock turn in 16 minutes? =
Answer key
- 3
- 24
- 176.5
- 74.5
- 11:11
- 5:09
- 5:33
- 92.5
- 77.5
- 61
- 100
- 9:42
- 69
- 63
- 122.5
- 8
- 16
- 3.5
- 204
- 66
- 19
- 103
- 72
- 25.5
- 77
- 10.5
- 55.5
- 172.5
- 5:39
- 136.5
- 44.5
- 12:06
- 8:44
- 76.5
- 114
- 147
- 82
- 180
- 12:59
- 8
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