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 11:46. What time will it show 21 minutes later? (a) 12:07 (b) 11:57 (c) 1:07 (d) 12:17
- 2.What is the smaller angle between the hour hand and the minute hand at 11:11? (in degrees) =
- 3.How many degrees does the minute hand of a clock turn in 7 minutes? =
- 4.A clock shows 5:52. What time will it show 38 minutes later? (a) 6:30 (b) 7:30 (c) 6:40 (d) 6:20
- 5.A clock shows 11:49. What time will it show 148 minutes later? (a) 2:07 (b) 2:17 (c) 2:27 (d) 3:17
- 6.How many degrees does the minute hand of a clock turn in 20 minutes? =
- 7.A clock shows 7:54. What time will it show 86 minutes later? (a) 10:20 (b) 9:20 (c) 9:10 (d) 9:30
- 8.How many degrees does the minute hand of a clock turn in 30 minutes? =
- 9.How many degrees does the minute hand of a clock turn in 4 minutes? =
- 10.A clock shows 12:03. What time will it show 91 minutes later? (a) 1:44 (b) 1:34 (c) 1:24 (d) 2:34
- 11.How many degrees does the minute hand of a clock turn in 10 minutes? =
- 12.How many degrees does the hour hand of a clock turn in 123 minutes? =
- 13.What is the smaller angle between the hour hand and the minute hand at 2:34? (in degrees) =
- 14.What is the smaller angle between the hour hand and the minute hand at 11:42? (in degrees) =
- 15.How many degrees does the minute hand of a clock turn in 55 minutes? =
- 16.What is the smaller angle between the hour hand and the minute hand at 4:26? (in degrees) =
- 17.A clock shows 7:41. What time will it show 15 minutes later? (a) 8:06 (b) 7:46 (c) 8:56 (d) 7:56
- 18.How many degrees does the minute hand of a clock turn in 31 minutes? =
- 19.What is the smaller angle between the hour hand and the minute hand at 1:42? (in degrees) =
- 20.What is the smaller angle between the hour hand and the minute hand at 6:14? (in degrees) =
- 21.A clock shows 5:53. What time will it show 130 minutes later? (a) 9:03 (b) 8:03 (c) 7:53 (d) 8:13
- 22.A clock shows 1:35. What time will it show 149 minutes later? (a) 5:04 (b) 4:14 (c) 4:04 (d) 3:54
- 23.A clock shows 11:31. What time will it show 33 minutes later? (a) 1:04 (b) 11:54 (c) 12:04 (d) 12:14
- 24.How many degrees does the hour hand of a clock turn in 127 minutes? =
- 25.How many degrees does the hour hand of a clock turn in 79 minutes? =
- 26.What is the smaller angle between the hour hand and the minute hand at 2:25? (in degrees) =
- 27.A clock shows 9:48. What time will it show 103 minutes later? (a) 12:31 (b) 11:21 (c) 11:31 (d) 11:41
- 28.How many degrees does the hour hand of a clock turn in 143 minutes? =
- 29.What is the smaller angle between the hour hand and the minute hand at 2:03? (in degrees) =
- 30.What is the smaller angle between the hour hand and the minute hand at 2:14? (in degrees) =
- 31.A clock shows 1:07. What time will it show 10 minutes later? (a) 2:17 (b) 1:07 (c) 1:17 (d) 1:27
- 32.A clock shows 10:43. What time will it show 86 minutes later? (a) 1:09 (b) 12:09 (c) 12:19 (d) 11:59
- 33.A clock shows 5:03. What time will it show 93 minutes later? (a) 6:26 (b) 6:46 (c) 6:36 (d) 7:36
- 34.How many degrees does the hour hand of a clock turn in 57 minutes? =
- 35.How many degrees does the minute hand of a clock turn in 34 minutes? =
- 36.What is the smaller angle between the hour hand and the minute hand at 9:43? (in degrees) =
- 37.A clock shows 2:00. What time will it show 153 minutes later? (a) 4:23 (b) 4:43 (c) 5:33 (d) 4:33
- 38.What is the smaller angle between the hour hand and the minute hand at 9:34? (in degrees) =
- 39.A clock shows 4:15. What time will it show 134 minutes later? (a) 7:29 (b) 6:19 (c) 6:39 (d) 6:29
- 40.What is the smaller angle between the hour hand and the minute hand at 4:37? (in degrees) =
Answer key
- 12:07
- 90.5
- 42
- 6:30
- 2:17
- 120
- 9:20
- 180
- 24
- 1:34
- 60
- 61.5
- 127
- 99
- 330
- 23
- 7:56
- 186
- 159
- 103
- 8:03
- 4:04
- 12:04
- 63.5
- 39.5
- 77.5
- 11:31
- 71.5
- 43.5
- 17
- 1:17
- 12:09
- 6:36
- 28.5
- 204
- 33.5
- 4:33
- 83
- 6:29
- 83.5
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