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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 589 · 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.How many degrees does the minute hand of a clock turn in 11 minutes? =
  2. 2.What is the smaller angle between the hour hand and the minute hand at 10:54? (in degrees) =
  3. 3.How many degrees does the minute hand of a clock turn in 3 minutes? =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 6:14? (in degrees) =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 11:15? (in degrees) =
  6. 6.A clock shows 7:22. What time will it show 40 minutes later? (a) 7:52 (b) 9:02 (c) 8:12 (d) 8:02
  7. 7.How many degrees does the hour hand of a clock turn in 128 minutes? =
  8. 8.A clock shows 4:13. What time will it show 71 minutes later? (a) 5:34 (b) 5:14 (c) 6:24 (d) 5:24
  9. 9.What is the smaller angle between the hour hand and the minute hand at 3:35? (in degrees) =
  10. 10.What is the smaller angle between the hour hand and the minute hand at 2:23? (in degrees) =
  11. 11.What is the smaller angle between the hour hand and the minute hand at 10:01? (in degrees) =
  12. 12.A clock shows 6:18. What time will it show 144 minutes later? (a) 8:42 (b) 8:32 (c) 8:52 (d) 9:42
  13. 13.What is the smaller angle between the hour hand and the minute hand at 3:53? (in degrees) =
  14. 14.How many degrees does the hour hand of a clock turn in 146 minutes? =
  15. 15.A clock shows 1:33. What time will it show 38 minutes later? (a) 2:21 (b) 2:11 (c) 2:01 (d) 3:11
  16. 16.What is the smaller angle between the hour hand and the minute hand at 7:34? (in degrees) =
  17. 17.A clock shows 11:43. What time will it show 148 minutes later? (a) 2:01 (b) 2:21 (c) 3:11 (d) 2:11
  18. 18.A clock shows 9:59. What time will it show 149 minutes later? (a) 12:18 (b) 1:28 (c) 12:38 (d) 12:28
  19. 19.What is the smaller angle between the hour hand and the minute hand at 1:18? (in degrees) =
  20. 20.What is the smaller angle between the hour hand and the minute hand at 4:43? (in degrees) =
  21. 21.What is the smaller angle between the hour hand and the minute hand at 10:09? (in degrees) =
  22. 22.What is the smaller angle between the hour hand and the minute hand at 1:07? (in degrees) =
  23. 23.What is the smaller angle between the hour hand and the minute hand at 8:21? (in degrees) =
  24. 24.How many degrees does the minute hand of a clock turn in 37 minutes? =
  25. 25.How many degrees does the minute hand of a clock turn in 18 minutes? =
  26. 26.How many degrees does the hour hand of a clock turn in 119 minutes? =
  27. 27.A clock shows 5:45. What time will it show 69 minutes later? (a) 6:54 (b) 7:54 (c) 6:44 (d) 7:04
  28. 28.How many degrees does the hour hand of a clock turn in 136 minutes? =
  29. 29.What is the smaller angle between the hour hand and the minute hand at 4:14? (in degrees) =
  30. 30.What is the smaller angle between the hour hand and the minute hand at 7:47? (in degrees) =
  31. 31.A clock shows 2:44. What time will it show 136 minutes later? (a) 5:10 (b) 4:50 (c) 5:00 (d) 6:00
  32. 32.What is the smaller angle between the hour hand and the minute hand at 9:41? (in degrees) =
  33. 33.How many degrees does the minute hand of a clock turn in 17 minutes? =
  34. 34.A clock shows 12:10. What time will it show 48 minutes later? (a) 1:58 (b) 12:48 (c) 12:58 (d) 1:08
  35. 35.How many degrees does the hour hand of a clock turn in 173 minutes? =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 8:26? (in degrees) =
  37. 37.How many degrees does the hour hand of a clock turn in 131 minutes? =
  38. 38.How many degrees does the hour hand of a clock turn in 112 minutes? =
  39. 39.A clock shows 10:19. What time will it show 53 minutes later? (a) 11:02 (b) 11:12 (c) 12:12 (d) 11:22
  40. 40.A clock shows 9:01. What time will it show 106 minutes later? (a) 11:47 (b) 10:37 (c) 10:47 (d) 10:57

Answer key

  1. 66
  2. 3
  3. 18
  4. 103
  5. 112.5
  6. 8:02
  7. 64
  8. 5:24
  9. 102.5
  10. 66.5
  11. 65.5
  12. 8:42
  13. 158.5
  14. 73
  15. 2:11
  16. 23
  17. 2:11
  18. 12:28
  19. 69
  20. 116.5
  21. 109.5
  22. 8.5
  23. 124.5
  24. 222
  25. 108
  26. 59.5
  27. 6:54
  28. 68
  29. 43
  30. 48.5
  31. 5:00
  32. 44.5
  33. 102
  34. 12:58
  35. 86.5
  36. 97
  37. 65.5
  38. 56
  39. 11:12
  40. 10:47

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