Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 112 · 40 questions

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°.

1. 1.What is the smaller angle between the hour hand and the minute hand at 11:26? (in degrees) =
2. 2.How many degrees does the hour hand of a clock turn in 108 minutes? =
3. 3.A clock shows 10:02. What time will it show 147 minutes later? (a) 12:39 (b) 12:29 (c) 12:19 (d) 1:29
4. 4.How many degrees does the hour hand of a clock turn in 52 minutes? =
5. 5.A clock shows 11:12. What time will it show 37 minutes later? (a) 12:49 (b) 11:49 (c) 11:39 (d) 11:59
6. 6.What is the smaller angle between the hour hand and the minute hand at 2:03? (in degrees) =
7. 7.How many degrees does the minute hand of a clock turn in 5 minutes? =
8. 8.How many degrees does the minute hand of a clock turn in 32 minutes? =
9. 9.How many degrees does the minute hand of a clock turn in 16 minutes? =
10. 10.What is the smaller angle between the hour hand and the minute hand at 9:37? (in degrees) =
11. 11.How many degrees does the hour hand of a clock turn in 35 minutes? =
12. 12.How many degrees does the hour hand of a clock turn in 115 minutes? =
13. 13.What is the smaller angle between the hour hand and the minute hand at 2:56? (in degrees) =
14. 14.A clock shows 7:52. What time will it show 29 minutes later? (a) 8:21 (b) 9:21 (c) 8:31 (d) 8:11
15. 15.How many degrees does the minute hand of a clock turn in 35 minutes? =
16. 16.What is the smaller angle between the hour hand and the minute hand at 2:00? (in degrees) =
17. 17.What is the smaller angle between the hour hand and the minute hand at 9:07? (in degrees) =
18. 18.How many degrees does the minute hand of a clock turn in 2 minutes? =
19. 19.A clock shows 3:11. What time will it show 132 minutes later? (a) 5:13 (b) 5:33 (c) 6:23 (d) 5:23
20. 20.What is the smaller angle between the hour hand and the minute hand at 3:55? (in degrees) =
21. 21.What is the smaller angle between the hour hand and the minute hand at 3:40? (in degrees) =
22. 22.How many degrees does the hour hand of a clock turn in 107 minutes? =
23. 23.What is the smaller angle between the hour hand and the minute hand at 5:14? (in degrees) =
24. 24.What is the smaller angle between the hour hand and the minute hand at 5:08? (in degrees) =
25. 25.How many degrees does the minute hand of a clock turn in 53 minutes? =
26. 26.A clock shows 8:04. What time will it show 102 minutes later? (a) 9:56 (b) 9:46 (c) 10:46 (d) 9:36
27. 27.What is the smaller angle between the hour hand and the minute hand at 5:24? (in degrees) =
28. 28.What is the smaller angle between the hour hand and the minute hand at 4:54? (in degrees) =
29. 29.What is the smaller angle between the hour hand and the minute hand at 7:36? (in degrees) =
30. 30.How many degrees does the hour hand of a clock turn in 41 minutes? =
31. 31.What is the smaller angle between the hour hand and the minute hand at 1:26? (in degrees) =
32. 32.How many degrees does the minute hand of a clock turn in 34 minutes? =
33. 33.How many degrees does the hour hand of a clock turn in 79 minutes? =
34. 34.How many degrees does the hour hand of a clock turn in 116 minutes? =
35. 35.How many degrees does the hour hand of a clock turn in 39 minutes? =
36. 36.What is the smaller angle between the hour hand and the minute hand at 10:33? (in degrees) =
37. 37.What is the smaller angle between the hour hand and the minute hand at 3:56? (in degrees) =
38. 38.What is the smaller angle between the hour hand and the minute hand at 5:47? (in degrees) =
39. 39.What is the smaller angle between the hour hand and the minute hand at 2:58? (in degrees) =
40. 40.A clock shows 11:54. What time will it show 114 minutes later? (a) 1:48 (b) 2:48 (c) 1:58 (d) 1:38

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