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.A clock shows 9:31. What time will it show 54 minutes later? (a) 10:35 (b) 10:25 (c) 11:25 (d) 10:15
- 2.How many degrees does the hour hand of a clock turn in 140 minutes? =
- 3.A clock shows 12:30. What time will it show 125 minutes later? (a) 2:35 (b) 3:35 (c) 2:25 (d) 2:45
- 4.What is the smaller angle between the hour hand and the minute hand at 10:52? (in degrees) =
- 5.What is the smaller angle between the hour hand and the minute hand at 3:34? (in degrees) =
- 6.What is the smaller angle between the hour hand and the minute hand at 4:50? (in degrees) =
- 7.What is the smaller angle between the hour hand and the minute hand at 1:13? (in degrees) =
- 8.What is the smaller angle between the hour hand and the minute hand at 1:00? (in degrees) =
- 9.How many degrees does the hour hand of a clock turn in 57 minutes? =
- 10.What is the smaller angle between the hour hand and the minute hand at 8:29? (in degrees) =
- 11.How many degrees does the minute hand of a clock turn in 16 minutes? =
- 12.How many degrees does the minute hand of a clock turn in 12 minutes? =
- 13.What is the smaller angle between the hour hand and the minute hand at 6:08? (in degrees) =
- 14.What is the smaller angle between the hour hand and the minute hand at 4:13? (in degrees) =
- 15.How many degrees does the minute hand of a clock turn in 52 minutes? =
- 16.A clock shows 4:50. What time will it show 74 minutes later? (a) 7:04 (b) 6:14 (c) 5:54 (d) 6:04
- 17.What is the smaller angle between the hour hand and the minute hand at 6:01? (in degrees) =
- 18.A clock shows 7:29. What time will it show 29 minutes later? (a) 7:58 (b) 8:58 (c) 8:08 (d) 7:48
- 19.What is the smaller angle between the hour hand and the minute hand at 7:15? (in degrees) =
- 20.How many degrees does the minute hand of a clock turn in 19 minutes? =
- 21.What is the smaller angle between the hour hand and the minute hand at 11:03? (in degrees) =
- 22.What is the smaller angle between the hour hand and the minute hand at 5:18? (in degrees) =
- 23.How many degrees does the minute hand of a clock turn in 45 minutes? =
- 24.A clock shows 2:54. What time will it show 30 minutes later? (a) 3:14 (b) 3:24 (c) 4:24 (d) 3:34
- 25.How many degrees does the hour hand of a clock turn in 163 minutes? =
- 26.What is the smaller angle between the hour hand and the minute hand at 6:32? (in degrees) =
- 27.A clock shows 11:02. What time will it show 27 minutes later? (a) 12:29 (b) 11:29 (c) 11:19 (d) 11:39
- 28.A clock shows 1:04. What time will it show 47 minutes later? (a) 1:41 (b) 1:51 (c) 2:51 (d) 2:01
- 29.A clock shows 10:57. What time will it show 111 minutes later? (a) 12:58 (b) 1:48 (c) 12:38 (d) 12:48
- 30.How many degrees does the minute hand of a clock turn in 10 minutes? =
- 31.A clock shows 11:52. What time will it show 80 minutes later? (a) 1:12 (b) 1:22 (c) 1:02 (d) 2:12
- 32.A clock shows 10:26. What time will it show 23 minutes later? (a) 11:49 (b) 10:39 (c) 10:49 (d) 10:59
- 33.What is the smaller angle between the hour hand and the minute hand at 8:39? (in degrees) =
- 34.A clock shows 3:38. What time will it show 19 minutes later? (a) 4:57 (b) 3:57 (c) 4:07 (d) 3:47
- 35.How many degrees does the minute hand of a clock turn in 23 minutes? =
- 36.What is the smaller angle between the hour hand and the minute hand at 3:42? (in degrees) =
- 37.A clock shows 11:49. What time will it show 73 minutes later? (a) 1:12 (b) 1:02 (c) 2:02 (d) 12:52
- 38.A clock shows 9:05. What time will it show 122 minutes later? (a) 10:57 (b) 11:17 (c) 12:07 (d) 11:07
- 39.A clock shows 12:28. What time will it show 34 minutes later? (a) 2:02 (b) 12:52 (c) 1:12 (d) 1:02
- 40.How many degrees does the minute hand of a clock turn in 34 minutes? =
Answer key
- 10:25
- 70
- 2:35
- 14
- 97
- 155
- 41.5
- 30
- 28.5
- 80.5
- 96
- 72
- 136
- 48.5
- 312
- 6:04
- 174.5
- 7:58
- 127.5
- 114
- 46.5
- 51
- 270
- 3:24
- 81.5
- 4
- 11:29
- 1:51
- 12:48
- 60
- 1:12
- 10:49
- 25.5
- 3:57
- 138
- 141
- 1:02
- 11:07
- 1:02
- 204
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