Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 837 · 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 10:28? (in degrees) =
2. 2.How many degrees does the minute hand of a clock turn in 14 minutes? =
3. 3.How many degrees does the minute hand of a clock turn in 31 minutes? =
4. 4.What is the smaller angle between the hour hand and the minute hand at 4:03? (in degrees) =
5. 5.A clock shows 5:43. What time will it show 41 minutes later? (a) 6:14 (b) 6:24 (c) 7:24 (d) 6:34
6. 6.What is the smaller angle between the hour hand and the minute hand at 2:26? (in degrees) =
7. 7.How many degrees does the minute hand of a clock turn in 59 minutes? =
8. 8.A clock shows 11:17. What time will it show 96 minutes later? (a) 1:03 (b) 12:43 (c) 1:53 (d) 12:53
9. 9.What is the smaller angle between the hour hand and the minute hand at 5:00? (in degrees) =
10. 10.A clock shows 6:55. What time will it show 11 minutes later? (a) 6:56 (b) 7:06 (c) 7:16 (d) 8:06
11. 11.How many degrees does the hour hand of a clock turn in 88 minutes? =
12. 12.What is the smaller angle between the hour hand and the minute hand at 6:03? (in degrees) =
13. 13.What is the smaller angle between the hour hand and the minute hand at 1:50? (in degrees) =
14. 14.What is the smaller angle between the hour hand and the minute hand at 8:39? (in degrees) =
15. 15.How many degrees does the hour hand of a clock turn in 156 minutes? =
16. 16.What is the smaller angle between the hour hand and the minute hand at 1:25? (in degrees) =
17. 17.How many degrees does the minute hand of a clock turn in 15 minutes? =
18. 18.What is the smaller angle between the hour hand and the minute hand at 3:45? (in degrees) =
19. 19.How many degrees does the minute hand of a clock turn in 2 minutes? =
20. 20.A clock shows 2:36. What time will it show 151 minutes later? (a) 5:17 (b) 4:57 (c) 5:07 (d) 6:07
21. 21.What is the smaller angle between the hour hand and the minute hand at 6:00? (in degrees) =
22. 22.A clock shows 3:01. What time will it show 56 minutes later? (a) 3:57 (b) 4:07 (c) 3:47 (d) 4:57
23. 23.A clock shows 2:35. What time will it show 121 minutes later? (a) 5:36 (b) 4:26 (c) 4:36 (d) 4:46
24. 24.What is the smaller angle between the hour hand and the minute hand at 7:00? (in degrees) =
25. 25.How many degrees does the hour hand of a clock turn in 170 minutes? =
26. 26.How many degrees does the hour hand of a clock turn in 28 minutes? =
27. 27.How many degrees does the hour hand of a clock turn in 30 minutes? =
28. 28.A clock shows 12:35. What time will it show 161 minutes later? (a) 3:16 (b) 4:16 (c) 3:26 (d) 3:06
29. 29.What is the smaller angle between the hour hand and the minute hand at 2:54? (in degrees) =
30. 30.How many degrees does the hour hand of a clock turn in 92 minutes? =
31. 31.What is the smaller angle between the hour hand and the minute hand at 1:22? (in degrees) =
32. 32.How many degrees does the hour hand of a clock turn in 43 minutes? =
33. 33.How many degrees does the minute hand of a clock turn in 28 minutes? =
34. 34.A clock shows 4:47. What time will it show 129 minutes later? (a) 7:56 (b) 6:56 (c) 6:46 (d) 7:06
35. 35.What is the smaller angle between the hour hand and the minute hand at 1:12? (in degrees) =
36. 36.What is the smaller angle between the hour hand and the minute hand at 8:38? (in degrees) =
37. 37.How many degrees does the hour hand of a clock turn in 26 minutes? =
38. 38.What is the smaller angle between the hour hand and the minute hand at 3:15? (in degrees) =
39. 39.A clock shows 4:38. What time will it show 38 minutes later? (a) 5:26 (b) 5:16 (c) 5:06 (d) 6:16
40. 40.How many degrees does the minute hand of a clock turn in 36 minutes? =

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