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 112 minutes? =
- 2.A clock shows 4:38. What time will it show 66 minutes later? (a) 5:54 (b) 5:34 (c) 6:44 (d) 5:44
- 3.How many degrees does the minute hand of a clock turn in 29 minutes? =
- 4.How many degrees does the hour hand of a clock turn in 86 minutes? =
- 5.A clock shows 1:49. What time will it show 82 minutes later? (a) 3:21 (b) 3:11 (c) 4:11 (d) 3:01
- 6.A clock shows 5:54. What time will it show 11 minutes later? (a) 6:05 (b) 5:55 (c) 7:05 (d) 6:15
- 7.How many degrees does the minute hand of a clock turn in 41 minutes? =
- 8.A clock shows 3:43. What time will it show 93 minutes later? (a) 5:06 (b) 5:26 (c) 5:16 (d) 6:16
- 9.How many degrees does the hour hand of a clock turn in 55 minutes? =
- 10.What is the smaller angle between the hour hand and the minute hand at 1:31? (in degrees) =
- 11.How many degrees does the hour hand of a clock turn in 106 minutes? =
- 12.A clock shows 1:49. What time will it show 21 minutes later? (a) 2:20 (b) 2:00 (c) 2:10 (d) 3:10
- 13.What is the smaller angle between the hour hand and the minute hand at 6:05? (in degrees) =
- 14.How many degrees does the minute hand of a clock turn in 56 minutes? =
- 15.How many degrees does the hour hand of a clock turn in 133 minutes? =
- 16.How many degrees does the hour hand of a clock turn in 157 minutes? =
- 17.A clock shows 7:36. What time will it show 148 minutes later? (a) 9:54 (b) 10:04 (c) 11:04 (d) 10:14
- 18.A clock shows 2:53. What time will it show 68 minutes later? (a) 4:11 (b) 4:01 (c) 3:51 (d) 5:01
- 19.A clock shows 12:37. What time will it show 65 minutes later? (a) 1:52 (b) 1:42 (c) 1:32 (d) 2:42
- 20.A clock shows 3:58. What time will it show 137 minutes later? (a) 6:05 (b) 6:15 (c) 6:25 (d) 7:15
- 21.How many degrees does the minute hand of a clock turn in 3 minutes? =
- 22.A clock shows 5:25. What time will it show 125 minutes later? (a) 7:40 (b) 7:30 (c) 8:30 (d) 7:20
- 23.How many degrees does the hour hand of a clock turn in 25 minutes? =
- 24.How many degrees does the minute hand of a clock turn in 14 minutes? =
- 25.How many degrees does the minute hand of a clock turn in 57 minutes? =
- 26.A clock shows 3:20. What time will it show 45 minutes later? (a) 5:05 (b) 4:15 (c) 3:55 (d) 4:05
- 27.What is the smaller angle between the hour hand and the minute hand at 6:27? (in degrees) =
- 28.How many degrees does the hour hand of a clock turn in 131 minutes? =
- 29.What is the smaller angle between the hour hand and the minute hand at 2:39? (in degrees) =
- 30.How many degrees does the minute hand of a clock turn in 25 minutes? =
- 31.What is the smaller angle between the hour hand and the minute hand at 10:19? (in degrees) =
- 32.What is the smaller angle between the hour hand and the minute hand at 8:26? (in degrees) =
- 33.What is the smaller angle between the hour hand and the minute hand at 3:44? (in degrees) =
- 34.How many degrees does the hour hand of a clock turn in 33 minutes? =
- 35.What is the smaller angle between the hour hand and the minute hand at 4:10? (in degrees) =
- 36.A clock shows 8:01. What time will it show 162 minutes later? (a) 11:43 (b) 10:53 (c) 10:33 (d) 10:43
- 37.What is the smaller angle between the hour hand and the minute hand at 10:21? (in degrees) =
- 38.What is the smaller angle between the hour hand and the minute hand at 5:10? (in degrees) =
- 39.How many degrees does the minute hand of a clock turn in 48 minutes? =
- 40.What is the smaller angle between the hour hand and the minute hand at 8:23? (in degrees) =
Answer key
- 56
- 5:44
- 174
- 43
- 3:11
- 6:05
- 246
- 5:16
- 27.5
- 140.5
- 53
- 2:10
- 152.5
- 336
- 66.5
- 78.5
- 10:04
- 4:01
- 1:42
- 6:15
- 18
- 7:30
- 12.5
- 84
- 342
- 4:05
- 31.5
- 65.5
- 154.5
- 150
- 164.5
- 97
- 152
- 16.5
- 65
- 10:43
- 175.5
- 95
- 288
- 113.5
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