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 103 minutes? =
- 2.What is the smaller angle between the hour hand and the minute hand at 1:50? (in degrees) =
- 3.What is the smaller angle between the hour hand and the minute hand at 8:24? (in degrees) =
- 4.What is the smaller angle between the hour hand and the minute hand at 2:44? (in degrees) =
- 5.What is the smaller angle between the hour hand and the minute hand at 12:07? (in degrees) =
- 6.A clock shows 11:35. What time will it show 28 minutes later? (a) 12:03 (b) 1:03 (c) 11:53 (d) 12:13
- 7.How many degrees does the hour hand of a clock turn in 126 minutes? =
- 8.How many degrees does the hour hand of a clock turn in 11 minutes? =
- 9.What is the smaller angle between the hour hand and the minute hand at 12:27? (in degrees) =
- 10.A clock shows 8:20. What time will it show 135 minutes later? (a) 10:25 (b) 10:45 (c) 11:35 (d) 10:35
- 11.What is the smaller angle between the hour hand and the minute hand at 9:14? (in degrees) =
- 12.A clock shows 10:36. What time will it show 145 minutes later? (a) 1:11 (b) 12:51 (c) 2:01 (d) 1:01
- 13.How many degrees does the hour hand of a clock turn in 107 minutes? =
- 14.How many degrees does the hour hand of a clock turn in 171 minutes? =
- 15.What is the smaller angle between the hour hand and the minute hand at 3:11? (in degrees) =
- 16.What is the smaller angle between the hour hand and the minute hand at 1:47? (in degrees) =
- 17.A clock shows 5:55. What time will it show 128 minutes later? (a) 8:03 (b) 9:03 (c) 7:53 (d) 8:13
- 18.A clock shows 6:18. What time will it show 90 minutes later? (a) 7:58 (b) 8:48 (c) 7:38 (d) 7:48
- 19.What is the smaller angle between the hour hand and the minute hand at 4:43? (in degrees) =
- 20.What is the smaller angle between the hour hand and the minute hand at 5:52? (in degrees) =
- 21.What is the smaller angle between the hour hand and the minute hand at 7:00? (in degrees) =
- 22.What is the smaller angle between the hour hand and the minute hand at 8:45? (in degrees) =
- 23.What is the smaller angle between the hour hand and the minute hand at 6:54? (in degrees) =
- 24.What is the smaller angle between the hour hand and the minute hand at 3:42? (in degrees) =
- 25.What is the smaller angle between the hour hand and the minute hand at 12:20? (in degrees) =
- 26.A clock shows 5:49. What time will it show 62 minutes later? (a) 7:51 (b) 7:01 (c) 6:51 (d) 6:41
- 27.A clock shows 10:32. What time will it show 33 minutes later? (a) 11:15 (b) 12:05 (c) 11:05 (d) 10:55
- 28.How many degrees does the hour hand of a clock turn in 52 minutes? =
- 29.How many degrees does the minute hand of a clock turn in 49 minutes? =
- 30.What is the smaller angle between the hour hand and the minute hand at 1:02? (in degrees) =
- 31.A clock shows 6:15. What time will it show 11 minutes later? (a) 7:26 (b) 6:36 (c) 6:16 (d) 6:26
- 32.How many degrees does the minute hand of a clock turn in 48 minutes? =
- 33.What is the smaller angle between the hour hand and the minute hand at 7:27? (in degrees) =
- 34.How many degrees does the hour hand of a clock turn in 141 minutes? =
- 35.What is the smaller angle between the hour hand and the minute hand at 5:15? (in degrees) =
- 36.A clock shows 8:10. What time will it show 29 minutes later? (a) 8:29 (b) 8:39 (c) 9:39 (d) 8:49
- 37.How many degrees does the minute hand of a clock turn in 25 minutes? =
- 38.What is the smaller angle between the hour hand and the minute hand at 1:18? (in degrees) =
- 39.What is the smaller angle between the hour hand and the minute hand at 2:25? (in degrees) =
- 40.How many degrees does the hour hand of a clock turn in 21 minutes? =
Answer key
- 51.5
- 115
- 108
- 178
- 38.5
- 12:03
- 63
- 5.5
- 148.5
- 10:35
- 167
- 1:01
- 53.5
- 85.5
- 29.5
- 131.5
- 8:03
- 7:48
- 116.5
- 136
- 150
- 7.5
- 117
- 141
- 110
- 6:51
- 11:05
- 26
- 294
- 19
- 6:26
- 288
- 61.5
- 70.5
- 67.5
- 8:39
- 150
- 69
- 77.5
- 10.5
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