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 1:59? (in degrees) =
- 2.What is the smaller angle between the hour hand and the minute hand at 3:15? (in degrees) =
- 3.A clock shows 5:52. What time will it show 20 minutes later? (a) 6:12 (b) 6:02 (c) 7:12 (d) 6:22
- 4.How many degrees does the hour hand of a clock turn in 16 minutes? =
- 5.How many degrees does the hour hand of a clock turn in 131 minutes? =
- 6.How many degrees does the minute hand of a clock turn in 59 minutes? =
- 7.How many degrees does the hour hand of a clock turn in 95 minutes? =
- 8.What is the smaller angle between the hour hand and the minute hand at 11:40? (in degrees) =
- 9.A clock shows 11:06. What time will it show 16 minutes later? (a) 11:22 (b) 12:22 (c) 11:32 (d) 11:12
- 10.How many degrees does the hour hand of a clock turn in 115 minutes? =
- 11.What is the smaller angle between the hour hand and the minute hand at 5:31? (in degrees) =
- 12.A clock shows 6:38. What time will it show 40 minutes later? (a) 7:28 (b) 7:18 (c) 7:08 (d) 8:18
- 13.How many degrees does the minute hand of a clock turn in 16 minutes? =
- 14.A clock shows 3:53. What time will it show 151 minutes later? (a) 7:24 (b) 6:34 (c) 6:24 (d) 6:14
- 15.A clock shows 11:00. What time will it show 109 minutes later? (a) 12:59 (b) 12:39 (c) 1:49 (d) 12:49
- 16.What is the smaller angle between the hour hand and the minute hand at 5:10? (in degrees) =
- 17.How many degrees does the minute hand of a clock turn in 58 minutes? =
- 18.What is the smaller angle between the hour hand and the minute hand at 1:29? (in degrees) =
- 19.What is the smaller angle between the hour hand and the minute hand at 7:24? (in degrees) =
- 20.How many degrees does the hour hand of a clock turn in 145 minutes? =
- 21.What is the smaller angle between the hour hand and the minute hand at 10:03? (in degrees) =
- 22.What is the smaller angle between the hour hand and the minute hand at 1:34? (in degrees) =
- 23.How many degrees does the minute hand of a clock turn in 42 minutes? =
- 24.What is the smaller angle between the hour hand and the minute hand at 4:10? (in degrees) =
- 25.What is the smaller angle between the hour hand and the minute hand at 7:23? (in degrees) =
- 26.What is the smaller angle between the hour hand and the minute hand at 8:53? (in degrees) =
- 27.What is the smaller angle between the hour hand and the minute hand at 5:19? (in degrees) =
- 28.What is the smaller angle between the hour hand and the minute hand at 1:05? (in degrees) =
- 29.What is the smaller angle between the hour hand and the minute hand at 5:33? (in degrees) =
- 30.What is the smaller angle between the hour hand and the minute hand at 9:40? (in degrees) =
- 31.What is the smaller angle between the hour hand and the minute hand at 1:13? (in degrees) =
- 32.What is the smaller angle between the hour hand and the minute hand at 4:22? (in degrees) =
- 33.How many degrees does the minute hand of a clock turn in 8 minutes? =
- 34.What is the smaller angle between the hour hand and the minute hand at 7:12? (in degrees) =
- 35.A clock shows 4:12. What time will it show 92 minutes later? (a) 6:44 (b) 5:44 (c) 5:54 (d) 5:34
- 36.How many degrees does the hour hand of a clock turn in 32 minutes? =
- 37.A clock shows 9:05. What time will it show 136 minutes later? (a) 11:31 (b) 12:21 (c) 11:11 (d) 11:21
- 38.A clock shows 2:37. What time will it show 102 minutes later? (a) 4:09 (b) 4:29 (c) 5:19 (d) 4:19
- 39.A clock shows 4:59. What time will it show 24 minutes later? (a) 5:13 (b) 5:33 (c) 6:23 (d) 5:23
- 40.How many degrees does the minute hand of a clock turn in 39 minutes? =
Answer key
- 65.5
- 7.5
- 6:12
- 8
- 65.5
- 354
- 47.5
- 110
- 11:22
- 57.5
- 20.5
- 7:18
- 96
- 6:24
- 12:49
- 95
- 348
- 129.5
- 78
- 72.5
- 76.5
- 157
- 252
- 65
- 83.5
- 51.5
- 45.5
- 2.5
- 31.5
- 50
- 41.5
- 1
- 48
- 144
- 5:44
- 16
- 11:21
- 4:19
- 5:23
- 234
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