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 8:10? (in degrees) =
- 2.What is the smaller angle between the hour hand and the minute hand at 10:46? (in degrees) =
- 3.What is the smaller angle between the hour hand and the minute hand at 6:10? (in degrees) =
- 4.A clock shows 6:37. What time will it show 13 minutes later? (a) 7:00 (b) 6:40 (c) 6:50 (d) 7:50
- 5.How many degrees does the hour hand of a clock turn in 57 minutes? =
- 6.A clock shows 7:32. What time will it show 56 minutes later? (a) 8:38 (b) 8:18 (c) 8:28 (d) 9:28
- 7.A clock shows 3:52. What time will it show 11 minutes later? (a) 4:13 (b) 3:53 (c) 5:03 (d) 4:03
- 8.A clock shows 10:13. What time will it show 63 minutes later? (a) 11:16 (b) 11:26 (c) 11:06 (d) 12:16
- 9.What is the smaller angle between the hour hand and the minute hand at 9:16? (in degrees) =
- 10.What is the smaller angle between the hour hand and the minute hand at 8:57? (in degrees) =
- 11.What is the smaller angle between the hour hand and the minute hand at 11:33? (in degrees) =
- 12.A clock shows 6:30. What time will it show 80 minutes later? (a) 7:50 (b) 8:50 (c) 7:40 (d) 8:00
- 13.A clock shows 1:03. What time will it show 102 minutes later? (a) 3:45 (b) 2:35 (c) 2:55 (d) 2:45
- 14.What is the smaller angle between the hour hand and the minute hand at 7:24? (in degrees) =
- 15.What is the smaller angle between the hour hand and the minute hand at 11:00? (in degrees) =
- 16.How many degrees does the hour hand of a clock turn in 71 minutes? =
- 17.What is the smaller angle between the hour hand and the minute hand at 10:57? (in degrees) =
- 18.What is the smaller angle between the hour hand and the minute hand at 6:03? (in degrees) =
- 19.What is the smaller angle between the hour hand and the minute hand at 4:10? (in degrees) =
- 20.What is the smaller angle between the hour hand and the minute hand at 10:58? (in degrees) =
- 21.What is the smaller angle between the hour hand and the minute hand at 10:02? (in degrees) =
- 22.How many degrees does the minute hand of a clock turn in 26 minutes? =
- 23.A clock shows 7:23. What time will it show 49 minutes later? (a) 8:12 (b) 8:02 (c) 8:22 (d) 9:12
- 24.How many degrees does the hour hand of a clock turn in 23 minutes? =
- 25.A clock shows 10:08. What time will it show 26 minutes later? (a) 11:34 (b) 10:24 (c) 10:44 (d) 10:34
- 26.A clock shows 8:24. What time will it show 41 minutes later? (a) 9:15 (b) 10:05 (c) 8:55 (d) 9:05
- 27.How many degrees does the minute hand of a clock turn in 17 minutes? =
- 28.How many degrees does the minute hand of a clock turn in 4 minutes? =
- 29.How many degrees does the hour hand of a clock turn in 25 minutes? =
- 30.How many degrees does the minute hand of a clock turn in 57 minutes? =
- 31.What is the smaller angle between the hour hand and the minute hand at 5:47? (in degrees) =
- 32.What is the smaller angle between the hour hand and the minute hand at 10:38? (in degrees) =
- 33.What is the smaller angle between the hour hand and the minute hand at 11:24? (in degrees) =
- 34.How many degrees does the minute hand of a clock turn in 10 minutes? =
- 35.How many degrees does the hour hand of a clock turn in 79 minutes? =
- 36.What is the smaller angle between the hour hand and the minute hand at 6:41? (in degrees) =
- 37.How many degrees does the minute hand of a clock turn in 25 minutes? =
- 38.How many degrees does the hour hand of a clock turn in 106 minutes? =
- 39.How many degrees does the hour hand of a clock turn in 21 minutes? =
- 40.What is the smaller angle between the hour hand and the minute hand at 8:56? (in degrees) =
Answer key
- 175
- 47
- 125
- 6:50
- 28.5
- 8:28
- 4:03
- 11:16
- 178
- 73.5
- 148.5
- 7:50
- 2:45
- 78
- 30
- 35.5
- 13.5
- 163.5
- 65
- 19
- 71
- 156
- 8:12
- 11.5
- 10:34
- 9:05
- 102
- 24
- 12.5
- 342
- 108.5
- 91
- 162
- 60
- 39.5
- 45.5
- 150
- 53
- 10.5
- 68
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