Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 708 · 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.How many degrees does the hour hand of a clock turn in 83 minutes? =
2. 2.What is the smaller angle between the hour hand and the minute hand at 12:57? (in degrees) =
3. 3.How many degrees does the hour hand of a clock turn in 122 minutes? =
4. 4.A clock shows 12:14. What time will it show 140 minutes later? (a) 2:34 (b) 2:44 (c) 3:34 (d) 2:24
5. 5.How many degrees does the hour hand of a clock turn in 76 minutes? =
6. 6.How many degrees does the minute hand of a clock turn in 46 minutes? =
7. 7.How many degrees does the hour hand of a clock turn in 86 minutes? =
8. 8.What is the smaller angle between the hour hand and the minute hand at 5:06? (in degrees) =
9. 9.How many degrees does the hour hand of a clock turn in 42 minutes? =
10. 10.How many degrees does the hour hand of a clock turn in 167 minutes? =
11. 11.A clock shows 9:30. What time will it show 12 minutes later? (a) 10:42 (b) 9:52 (c) 9:32 (d) 9:42
12. 12.How many degrees does the hour hand of a clock turn in 129 minutes? =
13. 13.How many degrees does the hour hand of a clock turn in 120 minutes? =
14. 14.How many degrees does the minute hand of a clock turn in 41 minutes? =
15. 15.How many degrees does the minute hand of a clock turn in 53 minutes? =
16. 16.What is the smaller angle between the hour hand and the minute hand at 12:05? (in degrees) =
17. 17.How many degrees does the minute hand of a clock turn in 30 minutes? =
18. 18.How many degrees does the hour hand of a clock turn in 58 minutes? =
19. 19.How many degrees does the hour hand of a clock turn in 143 minutes? =
20. 20.A clock shows 10:03. What time will it show 59 minutes later? (a) 10:52 (b) 11:12 (c) 11:02 (d) 12:02
21. 21.How many degrees does the hour hand of a clock turn in 151 minutes? =
22. 22.A clock shows 6:29. What time will it show 116 minutes later? (a) 8:15 (b) 8:35 (c) 8:25 (d) 9:25
23. 23.What is the smaller angle between the hour hand and the minute hand at 12:10? (in degrees) =
24. 24.How many degrees does the minute hand of a clock turn in 12 minutes? =
25. 25.What is the smaller angle between the hour hand and the minute hand at 8:39? (in degrees) =
26. 26.What is the smaller angle between the hour hand and the minute hand at 1:38? (in degrees) =
27. 27.A clock shows 8:15. What time will it show 99 minutes later? (a) 10:54 (b) 9:44 (c) 9:54 (d) 10:04
28. 28.What is the smaller angle between the hour hand and the minute hand at 9:33? (in degrees) =
29. 29.What is the smaller angle between the hour hand and the minute hand at 10:33? (in degrees) =
30. 30.How many degrees does the hour hand of a clock turn in 63 minutes? =
31. 31.How many degrees does the minute hand of a clock turn in 37 minutes? =
32. 32.What is the smaller angle between the hour hand and the minute hand at 4:54? (in degrees) =
33. 33.How many degrees does the hour hand of a clock turn in 144 minutes? =
34. 34.How many degrees does the hour hand of a clock turn in 99 minutes? =
35. 35.What is the smaller angle between the hour hand and the minute hand at 3:53? (in degrees) =
36. 36.What is the smaller angle between the hour hand and the minute hand at 6:48? (in degrees) =
37. 37.How many degrees does the hour hand of a clock turn in 166 minutes? =
38. 38.How many degrees does the minute hand of a clock turn in 15 minutes? =
39. 39.A clock shows 12:35. What time will it show 90 minutes later? (a) 2:05 (b) 3:05 (c) 2:15 (d) 1:55
40. 40.What is the smaller angle between the hour hand and the minute hand at 4:50? (in degrees) =

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