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 7:27? (in degrees) =
- 2.What is the smaller angle between the hour hand and the minute hand at 4:04? (in degrees) =
- 3.A clock shows 11:07. What time will it show 112 minutes later? (a) 1:09 (b) 1:59 (c) 12:59 (d) 12:49
- 4.A clock shows 2:40. What time will it show 169 minutes later? (a) 6:29 (b) 5:39 (c) 5:19 (d) 5:29
- 5.A clock shows 10:10. What time will it show 81 minutes later? (a) 11:41 (b) 11:31 (c) 11:21 (d) 12:31
- 6.What is the smaller angle between the hour hand and the minute hand at 9:25? (in degrees) =
- 7.What is the smaller angle between the hour hand and the minute hand at 3:13? (in degrees) =
- 8.What is the smaller angle between the hour hand and the minute hand at 10:27? (in degrees) =
- 9.A clock shows 5:45. What time will it show 76 minutes later? (a) 6:51 (b) 7:01 (c) 7:11 (d) 8:01
- 10.What is the smaller angle between the hour hand and the minute hand at 7:17? (in degrees) =
- 11.What is the smaller angle between the hour hand and the minute hand at 12:50? (in degrees) =
- 12.How many degrees does the hour hand of a clock turn in 126 minutes? =
- 13.What is the smaller angle between the hour hand and the minute hand at 1:29? (in degrees) =
- 14.How many degrees does the minute hand of a clock turn in 48 minutes? =
- 15.What is the smaller angle between the hour hand and the minute hand at 12:06? (in degrees) =
- 16.What is the smaller angle between the hour hand and the minute hand at 1:15? (in degrees) =
- 17.What is the smaller angle between the hour hand and the minute hand at 8:07? (in degrees) =
- 18.How many degrees does the hour hand of a clock turn in 51 minutes? =
- 19.How many degrees does the minute hand of a clock turn in 15 minutes? =
- 20.How many degrees does the minute hand of a clock turn in 21 minutes? =
- 21.A clock shows 10:03. What time will it show 73 minutes later? (a) 11:26 (b) 12:16 (c) 11:06 (d) 11:16
- 22.A clock shows 9:13. What time will it show 63 minutes later? (a) 10:06 (b) 10:26 (c) 10:16 (d) 11:16
- 23.A clock shows 5:35. What time will it show 88 minutes later? (a) 7:13 (b) 6:53 (c) 7:03 (d) 8:03
- 24.A clock shows 10:42. What time will it show 154 minutes later? (a) 1:16 (b) 1:06 (c) 1:26 (d) 2:16
- 25.What is the smaller angle between the hour hand and the minute hand at 2:15? (in degrees) =
- 26.What is the smaller angle between the hour hand and the minute hand at 12:11? (in degrees) =
- 27.How many degrees does the hour hand of a clock turn in 54 minutes? =
- 28.What is the smaller angle between the hour hand and the minute hand at 3:21? (in degrees) =
- 29.What is the smaller angle between the hour hand and the minute hand at 12:05? (in degrees) =
- 30.What is the smaller angle between the hour hand and the minute hand at 1:09? (in degrees) =
- 31.What is the smaller angle between the hour hand and the minute hand at 11:43? (in degrees) =
- 32.What is the smaller angle between the hour hand and the minute hand at 8:03? (in degrees) =
- 33.What is the smaller angle between the hour hand and the minute hand at 12:13? (in degrees) =
- 34.What is the smaller angle between the hour hand and the minute hand at 9:15? (in degrees) =
- 35.What is the smaller angle between the hour hand and the minute hand at 3:19? (in degrees) =
- 36.What is the smaller angle between the hour hand and the minute hand at 12:51? (in degrees) =
- 37.What is the smaller angle between the hour hand and the minute hand at 2:22? (in degrees) =
- 38.What is the smaller angle between the hour hand and the minute hand at 2:34? (in degrees) =
- 39.A clock shows 11:15. What time will it show 18 minutes later? (a) 12:33 (b) 11:23 (c) 11:43 (d) 11:33
- 40.How many degrees does the hour hand of a clock turn in 135 minutes? =
Answer key
- 61.5
- 98
- 12:59
- 5:29
- 11:31
- 132.5
- 18.5
- 151.5
- 7:01
- 116.5
- 85
- 63
- 129.5
- 288
- 33
- 52.5
- 158.5
- 25.5
- 90
- 126
- 11:16
- 10:16
- 7:03
- 1:16
- 22.5
- 60.5
- 27
- 25.5
- 27.5
- 19.5
- 93.5
- 136.5
- 71.5
- 172.5
- 14.5
- 79.5
- 61
- 127
- 11:33
- 67.5
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