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.What is the smaller angle between the hour hand and the minute hand at 2:14? (in degrees) =
- 3.How many degrees does the hour hand of a clock turn in 157 minutes? =
- 4.How many degrees does the minute hand of a clock turn in 27 minutes? =
- 5.A clock shows 12:16. What time will it show 36 minutes later? (a) 12:42 (b) 1:02 (c) 1:52 (d) 12:52
- 6.How many degrees does the minute hand of a clock turn in 49 minutes? =
- 7.How many degrees does the minute hand of a clock turn in 15 minutes? =
- 8.A clock shows 5:47. What time will it show 97 minutes later? (a) 7:34 (b) 7:24 (c) 8:24 (d) 7:14
- 9.What is the smaller angle between the hour hand and the minute hand at 8:20? (in degrees) =
- 10.How many degrees does the hour hand of a clock turn in 166 minutes? =
- 11.What is the smaller angle between the hour hand and the minute hand at 8:09? (in degrees) =
- 12.How many degrees does the hour hand of a clock turn in 23 minutes? =
- 13.A clock shows 1:02. What time will it show 111 minutes later? (a) 2:43 (b) 2:53 (c) 3:53 (d) 3:03
- 14.How many degrees does the minute hand of a clock turn in 33 minutes? =
- 15.What is the smaller angle between the hour hand and the minute hand at 10:37? (in degrees) =
- 16.A clock shows 8:30. What time will it show 57 minutes later? (a) 9:27 (b) 9:17 (c) 10:27 (d) 9:37
- 17.How many degrees does the minute hand of a clock turn in 55 minutes? =
- 18.A clock shows 5:19. What time will it show 20 minutes later? (a) 5:29 (b) 5:39 (c) 5:49 (d) 6:39
- 19.What is the smaller angle between the hour hand and the minute hand at 2:15? (in degrees) =
- 20.What is the smaller angle between the hour hand and the minute hand at 4:01? (in degrees) =
- 21.How many degrees does the minute hand of a clock turn in 12 minutes? =
- 22.A clock shows 7:45. What time will it show 146 minutes later? (a) 10:21 (b) 11:11 (c) 10:01 (d) 10:11
- 23.How many degrees does the hour hand of a clock turn in 100 minutes? =
- 24.What is the smaller angle between the hour hand and the minute hand at 12:10? (in degrees) =
- 25.What is the smaller angle between the hour hand and the minute hand at 2:40? (in degrees) =
- 26.How many degrees does the minute hand of a clock turn in 53 minutes? =
- 27.What is the smaller angle between the hour hand and the minute hand at 11:01? (in degrees) =
- 28.What is the smaller angle between the hour hand and the minute hand at 4:52? (in degrees) =
- 29.A clock shows 5:20. What time will it show 80 minutes later? (a) 6:30 (b) 6:40 (c) 7:40 (d) 6:50
- 30.A clock shows 1:05. What time will it show 34 minutes later? (a) 1:29 (b) 1:49 (c) 2:39 (d) 1:39
- 31.What is the smaller angle between the hour hand and the minute hand at 9:17? (in degrees) =
- 32.A clock shows 5:15. What time will it show 16 minutes later? (a) 6:31 (b) 5:21 (c) 5:31 (d) 5:41
- 33.What is the smaller angle between the hour hand and the minute hand at 12:37? (in degrees) =
- 34.What is the smaller angle between the hour hand and the minute hand at 6:58? (in degrees) =
- 35.What is the smaller angle between the hour hand and the minute hand at 9:47? (in degrees) =
- 36.What is the smaller angle between the hour hand and the minute hand at 12:35? (in degrees) =
- 37.What is the smaller angle between the hour hand and the minute hand at 8:16? (in degrees) =
- 38.What is the smaller angle between the hour hand and the minute hand at 8:47? (in degrees) =
- 39.What is the smaller angle between the hour hand and the minute hand at 9:38? (in degrees) =
- 40.What is the smaller angle between the hour hand and the minute hand at 2:53? (in degrees) =
Answer key
- 56
- 17
- 78.5
- 162
- 12:52
- 294
- 90
- 7:24
- 130
- 83
- 169.5
- 11.5
- 2:53
- 198
- 96.5
- 9:27
- 330
- 5:39
- 22.5
- 114.5
- 72
- 10:11
- 50
- 55
- 160
- 318
- 35.5
- 166
- 6:40
- 1:39
- 176.5
- 5:31
- 156.5
- 139
- 11.5
- 167.5
- 152
- 18.5
- 61
- 128.5
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