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 9:04? (in degrees) =
- 2.How many degrees does the minute hand of a clock turn in 15 minutes? =
- 3.What is the smaller angle between the hour hand and the minute hand at 3:00? (in degrees) =
- 4.A clock shows 8:49. What time will it show 65 minutes later? (a) 9:54 (b) 10:04 (c) 9:44 (d) 10:54
- 5.How many degrees does the minute hand of a clock turn in 7 minutes? =
- 6.How many degrees does the hour hand of a clock turn in 162 minutes? =
- 7.How many degrees does the minute hand of a clock turn in 49 minutes? =
- 8.How many degrees does the minute hand of a clock turn in 22 minutes? =
- 9.What is the smaller angle between the hour hand and the minute hand at 5:56? (in degrees) =
- 10.What is the smaller angle between the hour hand and the minute hand at 5:15? (in degrees) =
- 11.How many degrees does the minute hand of a clock turn in 34 minutes? =
- 12.What is the smaller angle between the hour hand and the minute hand at 2:17? (in degrees) =
- 13.What is the smaller angle between the hour hand and the minute hand at 6:33? (in degrees) =
- 14.What is the smaller angle between the hour hand and the minute hand at 2:12? (in degrees) =
- 15.What is the smaller angle between the hour hand and the minute hand at 6:12? (in degrees) =
- 16.A clock shows 9:04. What time will it show 140 minutes later? (a) 11:14 (b) 12:24 (c) 11:34 (d) 11:24
- 17.What is the smaller angle between the hour hand and the minute hand at 4:13? (in degrees) =
- 18.What is the smaller angle between the hour hand and the minute hand at 10:41? (in degrees) =
- 19.A clock shows 3:35. What time will it show 40 minutes later? (a) 5:15 (b) 4:05 (c) 4:15 (d) 4:25
- 20.How many degrees does the minute hand of a clock turn in 42 minutes? =
- 21.What is the smaller angle between the hour hand and the minute hand at 5:52? (in degrees) =
- 22.A clock shows 4:47. What time will it show 48 minutes later? (a) 5:45 (b) 5:25 (c) 6:35 (d) 5:35
- 23.What is the smaller angle between the hour hand and the minute hand at 6:59? (in degrees) =
- 24.How many degrees does the minute hand of a clock turn in 8 minutes? =
- 25.What is the smaller angle between the hour hand and the minute hand at 5:36? (in degrees) =
- 26.How many degrees does the hour hand of a clock turn in 17 minutes? =
- 27.What is the smaller angle between the hour hand and the minute hand at 8:51? (in degrees) =
- 28.What is the smaller angle between the hour hand and the minute hand at 6:13? (in degrees) =
- 29.What is the smaller angle between the hour hand and the minute hand at 1:54? (in degrees) =
- 30.How many degrees does the hour hand of a clock turn in 24 minutes? =
- 31.A clock shows 4:08. What time will it show 25 minutes later? (a) 4:23 (b) 5:33 (c) 4:43 (d) 4:33
- 32.What is the smaller angle between the hour hand and the minute hand at 5:12? (in degrees) =
- 33.A clock shows 2:12. What time will it show 125 minutes later? (a) 4:17 (b) 4:07 (c) 5:17 (d) 4:27
- 34.How many degrees does the hour hand of a clock turn in 136 minutes? =
- 35.A clock shows 4:06. What time will it show 22 minutes later? (a) 4:38 (b) 4:18 (c) 5:28 (d) 4:28
- 36.A clock shows 8:58. What time will it show 80 minutes later? (a) 10:18 (b) 10:08 (c) 10:28 (d) 11:18
- 37.What is the smaller angle between the hour hand and the minute hand at 11:54? (in degrees) =
- 38.What is the smaller angle between the hour hand and the minute hand at 10:29? (in degrees) =
- 39.What is the smaller angle between the hour hand and the minute hand at 1:51? (in degrees) =
- 40.What is the smaller angle between the hour hand and the minute hand at 2:50? (in degrees) =
Answer key
- 112
- 90
- 90
- 9:54
- 42
- 81
- 294
- 132
- 158
- 67.5
- 204
- 33.5
- 1.5
- 6
- 114
- 11:24
- 48.5
- 74.5
- 4:15
- 252
- 136
- 5:35
- 144.5
- 48
- 48
- 8.5
- 40.5
- 108.5
- 93
- 12
- 4:33
- 84
- 4:17
- 68
- 4:28
- 10:18
- 33
- 140.5
- 109.5
- 145
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