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 minute hand of a clock turn in 17 minutes? =
- 2.What is the smaller angle between the hour hand and the minute hand at 3:31? (in degrees) =
- 3.What is the smaller angle between the hour hand and the minute hand at 6:57? (in degrees) =
- 4.A clock shows 6:55. What time will it show 165 minutes later? (a) 9:50 (b) 10:40 (c) 9:30 (d) 9:40
- 5.A clock shows 10:46. What time will it show 33 minutes later? (a) 11:29 (b) 12:19 (c) 11:19 (d) 11:09
- 6.What is the smaller angle between the hour hand and the minute hand at 5:20? (in degrees) =
- 7.How many degrees does the hour hand of a clock turn in 47 minutes? =
- 8.A clock shows 7:43. What time will it show 163 minutes later? (a) 10:36 (b) 10:16 (c) 10:26 (d) 11:26
- 9.A clock shows 8:20. What time will it show 115 minutes later? (a) 10:25 (b) 10:05 (c) 11:15 (d) 10:15
- 10.How many degrees does the hour hand of a clock turn in 76 minutes? =
- 11.What is the smaller angle between the hour hand and the minute hand at 11:08? (in degrees) =
- 12.How many degrees does the hour hand of a clock turn in 10 minutes? =
- 13.How many degrees does the hour hand of a clock turn in 74 minutes? =
- 14.How many degrees does the hour hand of a clock turn in 115 minutes? =
- 15.What is the smaller angle between the hour hand and the minute hand at 6:15? (in degrees) =
- 16.How many degrees does the hour hand of a clock turn in 164 minutes? =
- 17.A clock shows 11:54. What time will it show 110 minutes later? (a) 1:54 (b) 1:34 (c) 2:44 (d) 1:44
- 18.How many degrees does the hour hand of a clock turn in 101 minutes? =
- 19.A clock shows 2:53. What time will it show 119 minutes later? (a) 4:42 (b) 5:02 (c) 5:52 (d) 4:52
- 20.How many degrees does the hour hand of a clock turn in 175 minutes? =
- 21.What is the smaller angle between the hour hand and the minute hand at 9:24? (in degrees) =
- 22.How many degrees does the hour hand of a clock turn in 54 minutes? =
- 23.A clock shows 5:26. What time will it show 39 minutes later? (a) 6:15 (b) 5:55 (c) 7:05 (d) 6:05
- 24.How many degrees does the minute hand of a clock turn in 46 minutes? =
- 25.What is the smaller angle between the hour hand and the minute hand at 4:27? (in degrees) =
- 26.A clock shows 3:13. What time will it show 168 minutes later? (a) 6:01 (b) 6:11 (c) 7:01 (d) 5:51
- 27.A clock shows 12:18. What time will it show 56 minutes later? (a) 2:14 (b) 1:04 (c) 1:14 (d) 1:24
- 28.What is the smaller angle between the hour hand and the minute hand at 8:47? (in degrees) =
- 29.What is the smaller angle between the hour hand and the minute hand at 5:37? (in degrees) =
- 30.What is the smaller angle between the hour hand and the minute hand at 12:57? (in degrees) =
- 31.What is the smaller angle between the hour hand and the minute hand at 4:00? (in degrees) =
- 32.What is the smaller angle between the hour hand and the minute hand at 4:59? (in degrees) =
- 33.What is the smaller angle between the hour hand and the minute hand at 6:00? (in degrees) =
- 34.A clock shows 6:34. What time will it show 49 minutes later? (a) 7:33 (b) 7:13 (c) 8:23 (d) 7:23
- 35.How many degrees does the minute hand of a clock turn in 3 minutes? =
- 36.How many degrees does the minute hand of a clock turn in 48 minutes? =
- 37.How many degrees does the minute hand of a clock turn in 27 minutes? =
- 38.How many degrees does the minute hand of a clock turn in 6 minutes? =
- 39.How many degrees does the hour hand of a clock turn in 73 minutes? =
- 40.A clock shows 11:54. What time will it show 151 minutes later? (a) 3:25 (b) 2:15 (c) 2:35 (d) 2:25
Answer key
- 102
- 80.5
- 133.5
- 9:40
- 11:19
- 40
- 23.5
- 10:26
- 10:15
- 38
- 74
- 5
- 37
- 57.5
- 97.5
- 82
- 1:44
- 50.5
- 4:52
- 87.5
- 138
- 27
- 6:05
- 276
- 28.5
- 6:01
- 1:14
- 18.5
- 53.5
- 46.5
- 120
- 155.5
- 180
- 7:23
- 18
- 288
- 162
- 36
- 36.5
- 2:25
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