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 1:23? (in degrees) =
- 2.A clock shows 9:55. What time will it show 131 minutes later? (a) 12:16 (b) 1:06 (c) 12:06 (d) 11:56
- 3.How many degrees does the hour hand of a clock turn in 55 minutes? =
- 4.A clock shows 10:39. What time will it show 45 minutes later? (a) 11:34 (b) 12:24 (c) 11:14 (d) 11:24
- 5.How many degrees does the minute hand of a clock turn in 15 minutes? =
- 6.How many degrees does the hour hand of a clock turn in 170 minutes? =
- 7.A clock shows 10:41. What time will it show 170 minutes later? (a) 1:21 (b) 1:41 (c) 2:31 (d) 1:31
- 8.How many degrees does the minute hand of a clock turn in 57 minutes? =
- 9.How many degrees does the hour hand of a clock turn in 63 minutes? =
- 10.A clock shows 12:41. What time will it show 133 minutes later? (a) 2:54 (b) 3:54 (c) 2:44 (d) 3:04
- 11.How many degrees does the hour hand of a clock turn in 53 minutes? =
- 12.How many degrees does the minute hand of a clock turn in 24 minutes? =
- 13.How many degrees does the hour hand of a clock turn in 16 minutes? =
- 14.What is the smaller angle between the hour hand and the minute hand at 10:40? (in degrees) =
- 15.What is the smaller angle between the hour hand and the minute hand at 1:20? (in degrees) =
- 16.How many degrees does the minute hand of a clock turn in 4 minutes? =
- 17.What is the smaller angle between the hour hand and the minute hand at 5:29? (in degrees) =
- 18.What is the smaller angle between the hour hand and the minute hand at 6:00? (in degrees) =
- 19.How many degrees does the hour hand of a clock turn in 117 minutes? =
- 20.What is the smaller angle between the hour hand and the minute hand at 4:14? (in degrees) =
- 21.What is the smaller angle between the hour hand and the minute hand at 1:34? (in degrees) =
- 22.A clock shows 2:04. What time will it show 65 minutes later? (a) 4:09 (b) 3:19 (c) 2:59 (d) 3:09
- 23.What is the smaller angle between the hour hand and the minute hand at 9:22? (in degrees) =
- 24.A clock shows 1:18. What time will it show 106 minutes later? (a) 3:04 (b) 4:04 (c) 2:54 (d) 3:14
- 25.What is the smaller angle between the hour hand and the minute hand at 12:51? (in degrees) =
- 26.How many degrees does the minute hand of a clock turn in 25 minutes? =
- 27.What is the smaller angle between the hour hand and the minute hand at 8:10? (in degrees) =
- 28.A clock shows 4:27. What time will it show 67 minutes later? (a) 5:44 (b) 6:34 (c) 5:34 (d) 5:24
- 29.A clock shows 3:39. What time will it show 17 minutes later? (a) 4:06 (b) 3:56 (c) 4:56 (d) 3:46
- 30.What is the smaller angle between the hour hand and the minute hand at 2:21? (in degrees) =
- 31.What is the smaller angle between the hour hand and the minute hand at 6:30? (in degrees) =
- 32.What is the smaller angle between the hour hand and the minute hand at 6:35? (in degrees) =
- 33.How many degrees does the minute hand of a clock turn in 40 minutes? =
- 34.What is the smaller angle between the hour hand and the minute hand at 12:13? (in degrees) =
- 35.A clock shows 2:51. What time will it show 72 minutes later? (a) 5:03 (b) 3:53 (c) 4:13 (d) 4:03
- 36.A clock shows 5:50. What time will it show 48 minutes later? (a) 6:48 (b) 6:28 (c) 7:38 (d) 6:38
- 37.What is the smaller angle between the hour hand and the minute hand at 2:04? (in degrees) =
- 38.How many degrees does the hour hand of a clock turn in 156 minutes? =
- 39.What is the smaller angle between the hour hand and the minute hand at 1:10? (in degrees) =
- 40.How many degrees does the hour hand of a clock turn in 59 minutes? =
Answer key
- 96.5
- 12:06
- 27.5
- 11:24
- 90
- 85
- 1:31
- 342
- 31.5
- 2:54
- 26.5
- 144
- 8
- 80
- 80
- 24
- 9.5
- 180
- 58.5
- 43
- 157
- 3:09
- 149
- 3:04
- 79.5
- 150
- 175
- 5:34
- 3:56
- 55.5
- 15
- 12.5
- 240
- 71.5
- 4:03
- 6:38
- 38
- 78
- 25
- 29.5
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