Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 467 · 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 8:36? (in degrees) =
2. 2.A clock shows 6:33. What time will it show 87 minutes later? (a) 8:10 (b) 9:00 (c) 8:00 (d) 7:50
3. 3.What is the smaller angle between the hour hand and the minute hand at 7:04? (in degrees) =
4. 4.How many degrees does the hour hand of a clock turn in 122 minutes? =
5. 5.How many degrees does the hour hand of a clock turn in 39 minutes? =
6. 6.How many degrees does the hour hand of a clock turn in 105 minutes? =
7. 7.How many degrees does the minute hand of a clock turn in 30 minutes? =
8. 8.A clock shows 1:06. What time will it show 150 minutes later? (a) 3:36 (b) 4:36 (c) 3:26 (d) 3:46
9. 9.How many degrees does the hour hand of a clock turn in 23 minutes? =
10. 10.A clock shows 12:06. What time will it show 143 minutes later? (a) 2:39 (b) 2:19 (c) 3:29 (d) 2:29
11. 11.How many degrees does the hour hand of a clock turn in 70 minutes? =
12. 12.How many degrees does the minute hand of a clock turn in 40 minutes? =
13. 13.What is the smaller angle between the hour hand and the minute hand at 8:00? (in degrees) =
14. 14.What is the smaller angle between the hour hand and the minute hand at 11:43? (in degrees) =
15. 15.What is the smaller angle between the hour hand and the minute hand at 4:15? (in degrees) =
16. 16.What is the smaller angle between the hour hand and the minute hand at 3:38? (in degrees) =
17. 17.A clock shows 10:02. What time will it show 20 minutes later? (a) 10:32 (b) 11:22 (c) 10:12 (d) 10:22
18. 18.What is the smaller angle between the hour hand and the minute hand at 4:58? (in degrees) =
19. 19.A clock shows 3:17. What time will it show 104 minutes later? (a) 5:01 (b) 6:01 (c) 4:51 (d) 5:11
20. 20.What is the smaller angle between the hour hand and the minute hand at 12:02? (in degrees) =
21. 21.A clock shows 7:01. What time will it show 42 minutes later? (a) 7:43 (b) 7:53 (c) 8:43 (d) 7:33
22. 22.What is the smaller angle between the hour hand and the minute hand at 6:17? (in degrees) =
23. 23.How many degrees does the hour hand of a clock turn in 38 minutes? =
24. 24.A clock shows 10:31. What time will it show 24 minutes later? (a) 11:05 (b) 10:45 (c) 10:55 (d) 11:55
25. 25.What is the smaller angle between the hour hand and the minute hand at 2:58? (in degrees) =
26. 26.How many degrees does the minute hand of a clock turn in 59 minutes? =
27. 27.How many degrees does the hour hand of a clock turn in 24 minutes? =
28. 28.How many degrees does the hour hand of a clock turn in 177 minutes? =
29. 29.How many degrees does the hour hand of a clock turn in 28 minutes? =
30. 30.What is the smaller angle between the hour hand and the minute hand at 10:12? (in degrees) =
31. 31.How many degrees does the minute hand of a clock turn in 12 minutes? =
32. 32.What is the smaller angle between the hour hand and the minute hand at 10:00? (in degrees) =
33. 33.What is the smaller angle between the hour hand and the minute hand at 12:18? (in degrees) =
34. 34.How many degrees does the hour hand of a clock turn in 64 minutes? =
35. 35.How many degrees does the hour hand of a clock turn in 83 minutes? =
36. 36.What is the smaller angle between the hour hand and the minute hand at 8:26? (in degrees) =
37. 37.What is the smaller angle between the hour hand and the minute hand at 11:34? (in degrees) =
38. 38.How many degrees does the hour hand of a clock turn in 108 minutes? =
39. 39.How many degrees does the minute hand of a clock turn in 10 minutes? =
40. 40.How many degrees does the hour hand of a clock turn in 149 minutes? =

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