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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 820 · 40 questions
TalentJR

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. 1.What is the smaller angle between the hour hand and the minute hand at 12:01? (in degrees) =
  2. 2.A clock shows 5:44. What time will it show 53 minutes later? (a) 6:47 (b) 6:37 (c) 6:27 (d) 7:37
  3. 3.A clock shows 4:56. What time will it show 19 minutes later? (a) 6:15 (b) 5:15 (c) 5:05 (d) 5:25
  4. 4.How many degrees does the hour hand of a clock turn in 10 minutes? =
  5. 5.A clock shows 4:48. What time will it show 42 minutes later? (a) 5:30 (b) 5:20 (c) 6:30 (d) 5:40
  6. 6.What is the smaller angle between the hour hand and the minute hand at 1:09? (in degrees) =
  7. 7.What is the smaller angle between the hour hand and the minute hand at 1:18? (in degrees) =
  8. 8.A clock shows 5:55. What time will it show 32 minutes later? (a) 7:27 (b) 6:27 (c) 6:17 (d) 6:37
  9. 9.What is the smaller angle between the hour hand and the minute hand at 11:21? (in degrees) =
  10. 10.A clock shows 1:06. What time will it show 75 minutes later? (a) 2:11 (b) 2:21 (c) 2:31 (d) 3:21
  11. 11.What is the smaller angle between the hour hand and the minute hand at 5:08? (in degrees) =
  12. 12.How many degrees does the minute hand of a clock turn in 5 minutes? =
  13. 13.A clock shows 4:56. What time will it show 30 minutes later? (a) 5:16 (b) 5:36 (c) 5:26 (d) 6:26
  14. 14.What is the smaller angle between the hour hand and the minute hand at 8:34? (in degrees) =
  15. 15.A clock shows 11:52. What time will it show 92 minutes later? (a) 1:24 (b) 2:24 (c) 1:14 (d) 1:34
  16. 16.A clock shows 12:54. What time will it show 74 minutes later? (a) 3:08 (b) 2:18 (c) 1:58 (d) 2:08
  17. 17.What is the smaller angle between the hour hand and the minute hand at 3:46? (in degrees) =
  18. 18.A clock shows 1:24. What time will it show 127 minutes later? (a) 3:21 (b) 3:41 (c) 4:31 (d) 3:31
  19. 19.A clock shows 9:48. What time will it show 76 minutes later? (a) 10:54 (b) 11:14 (c) 12:04 (d) 11:04
  20. 20.What is the smaller angle between the hour hand and the minute hand at 5:48? (in degrees) =
  21. 21.How many degrees does the minute hand of a clock turn in 41 minutes? =
  22. 22.How many degrees does the minute hand of a clock turn in 11 minutes? =
  23. 23.What is the smaller angle between the hour hand and the minute hand at 11:29? (in degrees) =
  24. 24.What is the smaller angle between the hour hand and the minute hand at 10:36? (in degrees) =
  25. 25.How many degrees does the hour hand of a clock turn in 94 minutes? =
  26. 26.What is the smaller angle between the hour hand and the minute hand at 7:33? (in degrees) =
  27. 27.What is the smaller angle between the hour hand and the minute hand at 7:50? (in degrees) =
  28. 28.A clock shows 9:43. What time will it show 36 minutes later? (a) 11:19 (b) 10:29 (c) 10:19 (d) 10:09
  29. 29.What is the smaller angle between the hour hand and the minute hand at 2:13? (in degrees) =
  30. 30.How many degrees does the minute hand of a clock turn in 39 minutes? =
  31. 31.What is the smaller angle between the hour hand and the minute hand at 1:58? (in degrees) =
  32. 32.How many degrees does the minute hand of a clock turn in 49 minutes? =
  33. 33.What is the smaller angle between the hour hand and the minute hand at 4:36? (in degrees) =
  34. 34.What is the smaller angle between the hour hand and the minute hand at 11:09? (in degrees) =
  35. 35.What is the smaller angle between the hour hand and the minute hand at 2:32? (in degrees) =
  36. 36.A clock shows 11:47. What time will it show 143 minutes later? (a) 2:10 (b) 2:00 (c) 3:10 (d) 2:20
  37. 37.How many degrees does the hour hand of a clock turn in 28 minutes? =
  38. 38.How many degrees does the hour hand of a clock turn in 132 minutes? =
  39. 39.What is the smaller angle between the hour hand and the minute hand at 9:46? (in degrees) =
  40. 40.What is the smaller angle between the hour hand and the minute hand at 6:59? (in degrees) =

Answer key

  1. 5.5
  2. 6:37
  3. 5:15
  4. 5
  5. 5:30
  6. 19.5
  7. 69
  8. 6:27
  9. 145.5
  10. 2:21
  11. 106
  12. 30
  13. 5:26
  14. 53
  15. 1:24
  16. 2:08
  17. 163
  18. 3:31
  19. 11:04
  20. 114
  21. 246
  22. 66
  23. 170.5
  24. 102
  25. 47
  26. 28.5
  27. 65
  28. 10:19
  29. 11.5
  30. 234
  31. 71
  32. 294
  33. 78
  34. 79.5
  35. 116
  36. 2:10
  37. 14
  38. 66
  39. 17
  40. 144.5

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