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.A clock shows 10:24. What time will it show 40 minutes later? (a) 11:04 (b) 12:04 (c) 11:14 (d) 10:54
- 2.How many degrees does the minute hand of a clock turn in 52 minutes? =
- 3.What is the smaller angle between the hour hand and the minute hand at 4:24? (in degrees) =
- 4.What is the smaller angle between the hour hand and the minute hand at 7:35? (in degrees) =
- 5.What is the smaller angle between the hour hand and the minute hand at 1:39? (in degrees) =
- 6.A clock shows 8:49. What time will it show 86 minutes later? (a) 10:25 (b) 11:15 (c) 10:15 (d) 10:05
- 7.What is the smaller angle between the hour hand and the minute hand at 1:15? (in degrees) =
- 8.What is the smaller angle between the hour hand and the minute hand at 7:24? (in degrees) =
- 9.What is the smaller angle between the hour hand and the minute hand at 11:30? (in degrees) =
- 10.How many degrees does the minute hand of a clock turn in 24 minutes? =
- 11.How many degrees does the minute hand of a clock turn in 11 minutes? =
- 12.How many degrees does the hour hand of a clock turn in 41 minutes? =
- 13.A clock shows 9:46. What time will it show 65 minutes later? (a) 11:01 (b) 11:51 (c) 10:51 (d) 10:41
- 14.What is the smaller angle between the hour hand and the minute hand at 9:08? (in degrees) =
- 15.What is the smaller angle between the hour hand and the minute hand at 7:08? (in degrees) =
- 16.What is the smaller angle between the hour hand and the minute hand at 2:25? (in degrees) =
- 17.How many degrees does the hour hand of a clock turn in 80 minutes? =
- 18.How many degrees does the minute hand of a clock turn in 2 minutes? =
- 19.What is the smaller angle between the hour hand and the minute hand at 9:35? (in degrees) =
- 20.What is the smaller angle between the hour hand and the minute hand at 2:57? (in degrees) =
- 21.How many degrees does the hour hand of a clock turn in 163 minutes? =
- 22.What is the smaller angle between the hour hand and the minute hand at 3:13? (in degrees) =
- 23.How many degrees does the minute hand of a clock turn in 14 minutes? =
- 24.What is the smaller angle between the hour hand and the minute hand at 3:51? (in degrees) =
- 25.What is the smaller angle between the hour hand and the minute hand at 2:10? (in degrees) =
- 26.What is the smaller angle between the hour hand and the minute hand at 12:14? (in degrees) =
- 27.What is the smaller angle between the hour hand and the minute hand at 5:14? (in degrees) =
- 28.How many degrees does the minute hand of a clock turn in 33 minutes? =
- 29.What is the smaller angle between the hour hand and the minute hand at 10:44? (in degrees) =
- 30.What is the smaller angle between the hour hand and the minute hand at 9:30? (in degrees) =
- 31.What is the smaller angle between the hour hand and the minute hand at 10:47? (in degrees) =
- 32.What is the smaller angle between the hour hand and the minute hand at 3:14? (in degrees) =
- 33.A clock shows 5:47. What time will it show 63 minutes later? (a) 7:00 (b) 7:50 (c) 6:50 (d) 6:40
- 34.What is the smaller angle between the hour hand and the minute hand at 10:45? (in degrees) =
- 35.How many degrees does the minute hand of a clock turn in 21 minutes? =
- 36.A clock shows 2:14. What time will it show 114 minutes later? (a) 5:08 (b) 3:58 (c) 4:18 (d) 4:08
- 37.A clock shows 1:56. What time will it show 22 minutes later? (a) 2:18 (b) 3:18 (c) 2:28 (d) 2:08
- 38.A clock shows 9:51. What time will it show 95 minutes later? (a) 11:16 (b) 12:26 (c) 11:36 (d) 11:26
- 39.How many degrees does the minute hand of a clock turn in 36 minutes? =
- 40.What is the smaller angle between the hour hand and the minute hand at 4:08? (in degrees) =
Answer key
- 11:04
- 312
- 12
- 17.5
- 175.5
- 10:15
- 52.5
- 78
- 165
- 144
- 66
- 20.5
- 10:51
- 134
- 166
- 77.5
- 40
- 12
- 77.5
- 106.5
- 81.5
- 18.5
- 84
- 169.5
- 5
- 77
- 73
- 198
- 58
- 105
- 41.5
- 13
- 6:50
- 52.5
- 126
- 4:08
- 2:18
- 11:26
- 216
- 76
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