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 4:14? (in degrees) =
- 2.What is the smaller angle between the hour hand and the minute hand at 1:20? (in degrees) =
- 3.What is the smaller angle between the hour hand and the minute hand at 10:41? (in degrees) =
- 4.How many degrees does the hour hand of a clock turn in 22 minutes? =
- 5.What is the smaller angle between the hour hand and the minute hand at 6:06? (in degrees) =
- 6.How many degrees does the minute hand of a clock turn in 33 minutes? =
- 7.What is the smaller angle between the hour hand and the minute hand at 2:16? (in degrees) =
- 8.What is the smaller angle between the hour hand and the minute hand at 11:26? (in degrees) =
- 9.How many degrees does the minute hand of a clock turn in 6 minutes? =
- 10.How many degrees does the hour hand of a clock turn in 168 minutes? =
- 11.What is the smaller angle between the hour hand and the minute hand at 12:02? (in degrees) =
- 12.What is the smaller angle between the hour hand and the minute hand at 4:56? (in degrees) =
- 13.What is the smaller angle between the hour hand and the minute hand at 2:45? (in degrees) =
- 14.How many degrees does the minute hand of a clock turn in 13 minutes? =
- 15.What is the smaller angle between the hour hand and the minute hand at 10:04? (in degrees) =
- 16.A clock shows 10:12. What time will it show 160 minutes later? (a) 1:52 (b) 12:52 (c) 1:02 (d) 12:42
- 17.How many degrees does the minute hand of a clock turn in 59 minutes? =
- 18.What is the smaller angle between the hour hand and the minute hand at 4:48? (in degrees) =
- 19.A clock shows 4:13. What time will it show 84 minutes later? (a) 6:37 (b) 5:27 (c) 5:47 (d) 5:37
- 20.What is the smaller angle between the hour hand and the minute hand at 8:10? (in degrees) =
- 21.What is the smaller angle between the hour hand and the minute hand at 1:43? (in degrees) =
- 22.A clock shows 10:39. What time will it show 11 minutes later? (a) 11:00 (b) 10:40 (c) 11:50 (d) 10:50
- 23.What is the smaller angle between the hour hand and the minute hand at 10:18? (in degrees) =
- 24.What is the smaller angle between the hour hand and the minute hand at 9:41? (in degrees) =
- 25.What is the smaller angle between the hour hand and the minute hand at 4:18? (in degrees) =
- 26.How many degrees does the hour hand of a clock turn in 98 minutes? =
- 27.A clock shows 12:12. What time will it show 56 minutes later? (a) 2:08 (b) 12:58 (c) 1:08 (d) 1:18
- 28.What is the smaller angle between the hour hand and the minute hand at 1:14? (in degrees) =
- 29.What is the smaller angle between the hour hand and the minute hand at 7:54? (in degrees) =
- 30.What is the smaller angle between the hour hand and the minute hand at 6:35? (in degrees) =
- 31.What is the smaller angle between the hour hand and the minute hand at 7:34? (in degrees) =
- 32.How many degrees does the hour hand of a clock turn in 125 minutes? =
- 33.A clock shows 8:11. What time will it show 69 minutes later? (a) 9:10 (b) 9:20 (c) 10:20 (d) 9:30
- 34.How many degrees does the minute hand of a clock turn in 3 minutes? =
- 35.A clock shows 1:25. What time will it show 55 minutes later? (a) 3:20 (b) 2:10 (c) 2:20 (d) 2:30
- 36.How many degrees does the hour hand of a clock turn in 56 minutes? =
- 37.What is the smaller angle between the hour hand and the minute hand at 5:39? (in degrees) =
- 38.What is the smaller angle between the hour hand and the minute hand at 8:18? (in degrees) =
- 39.How many degrees does the minute hand of a clock turn in 26 minutes? =
- 40.What is the smaller angle between the hour hand and the minute hand at 10:27? (in degrees) =
Answer key
- 43
- 80
- 74.5
- 11
- 147
- 198
- 28
- 173
- 36
- 84
- 11
- 172
- 172.5
- 78
- 82
- 12:52
- 354
- 144
- 5:37
- 175
- 153.5
- 10:50
- 159
- 44.5
- 21
- 49
- 1:08
- 47
- 87
- 12.5
- 23
- 62.5
- 9:20
- 18
- 2:20
- 28
- 64.5
- 141
- 156
- 151.5
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