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.How many degrees does the hour hand of a clock turn in 130 minutes? =
- 2.How many degrees does the hour hand of a clock turn in 34 minutes? =
- 3.What is the smaller angle between the hour hand and the minute hand at 4:06? (in degrees) =
- 4.How many degrees does the hour hand of a clock turn in 126 minutes? =
- 5.What is the smaller angle between the hour hand and the minute hand at 2:52? (in degrees) =
- 6.What is the smaller angle between the hour hand and the minute hand at 3:53? (in degrees) =
- 7.What is the smaller angle between the hour hand and the minute hand at 1:09? (in degrees) =
- 8.A clock shows 3:55. What time will it show 18 minutes later? (a) 4:03 (b) 4:23 (c) 5:13 (d) 4:13
- 9.How many degrees does the minute hand of a clock turn in 9 minutes? =
- 10.A clock shows 10:52. What time will it show 131 minutes later? (a) 12:53 (b) 2:03 (c) 1:03 (d) 1:13
- 11.What is the smaller angle between the hour hand and the minute hand at 7:09? (in degrees) =
- 12.A clock shows 9:48. What time will it show 17 minutes later? (a) 11:05 (b) 10:05 (c) 9:55 (d) 10:15
- 13.How many degrees does the hour hand of a clock turn in 12 minutes? =
- 14.What is the smaller angle between the hour hand and the minute hand at 3:45? (in degrees) =
- 15.What is the smaller angle between the hour hand and the minute hand at 8:54? (in degrees) =
- 16.What is the smaller angle between the hour hand and the minute hand at 11:27? (in degrees) =
- 17.How many degrees does the minute hand of a clock turn in 18 minutes? =
- 18.A clock shows 12:24. What time will it show 48 minutes later? (a) 2:12 (b) 1:22 (c) 1:12 (d) 1:02
- 19.What is the smaller angle between the hour hand and the minute hand at 2:29? (in degrees) =
- 20.What is the smaller angle between the hour hand and the minute hand at 2:32? (in degrees) =
- 21.How many degrees does the minute hand of a clock turn in 36 minutes? =
- 22.What is the smaller angle between the hour hand and the minute hand at 1:37? (in degrees) =
- 23.How many degrees does the minute hand of a clock turn in 54 minutes? =
- 24.What is the smaller angle between the hour hand and the minute hand at 11:52? (in degrees) =
- 25.How many degrees does the hour hand of a clock turn in 83 minutes? =
- 26.A clock shows 3:18. What time will it show 168 minutes later? (a) 6:16 (b) 5:56 (c) 7:06 (d) 6:06
- 27.What is the smaller angle between the hour hand and the minute hand at 9:17? (in degrees) =
- 28.How many degrees does the hour hand of a clock turn in 51 minutes? =
- 29.What is the smaller angle between the hour hand and the minute hand at 8:22? (in degrees) =
- 30.What is the smaller angle between the hour hand and the minute hand at 6:53? (in degrees) =
- 31.How many degrees does the hour hand of a clock turn in 109 minutes? =
- 32.A clock shows 11:12. What time will it show 49 minutes later? (a) 12:01 (b) 12:11 (c) 11:51 (d) 1:01
- 33.What is the smaller angle between the hour hand and the minute hand at 1:19? (in degrees) =
- 34.A clock shows 10:44. What time will it show 54 minutes later? (a) 11:48 (b) 11:28 (c) 12:38 (d) 11:38
- 35.A clock shows 4:18. What time will it show 151 minutes later? (a) 6:49 (b) 7:49 (c) 6:59 (d) 6:39
- 36.A clock shows 3:48. What time will it show 136 minutes later? (a) 7:04 (b) 5:54 (c) 6:14 (d) 6:04
- 37.A clock shows 6:10. What time will it show 12 minutes later? (a) 7:22 (b) 6:12 (c) 6:32 (d) 6:22
- 38.What is the smaller angle between the hour hand and the minute hand at 1:39? (in degrees) =
- 39.A clock shows 10:05. What time will it show 144 minutes later? (a) 12:39 (b) 12:29 (c) 1:29 (d) 12:19
- 40.How many degrees does the minute hand of a clock turn in 34 minutes? =
Answer key
- 65
- 17
- 87
- 63
- 134
- 158.5
- 19.5
- 4:13
- 54
- 1:03
- 160.5
- 10:05
- 6
- 157.5
- 57
- 178.5
- 108
- 1:12
- 99.5
- 116
- 216
- 173.5
- 324
- 44
- 41.5
- 6:06
- 176.5
- 25.5
- 119
- 111.5
- 54.5
- 12:01
- 74.5
- 11:38
- 6:49
- 6:04
- 6:22
- 175.5
- 12:29
- 204
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