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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 90 · 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.A clock shows 5:02. What time will it show 20 minutes later? (a) 5:12 (b) 5:32 (c) 6:22 (d) 5:22
  2. 2.A clock shows 4:53. What time will it show 71 minutes later? (a) 6:14 (b) 5:54 (c) 6:04 (d) 7:04
  3. 3.What is the smaller angle between the hour hand and the minute hand at 4:48? (in degrees) =
  4. 4.How many degrees does the minute hand of a clock turn in 47 minutes? =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 9:58? (in degrees) =
  6. 6.A clock shows 7:26. What time will it show 118 minutes later? (a) 9:34 (b) 10:24 (c) 9:14 (d) 9:24
  7. 7.What is the smaller angle between the hour hand and the minute hand at 12:01? (in degrees) =
  8. 8.How many degrees does the minute hand of a clock turn in 54 minutes? =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 10:26? (in degrees) =
  10. 10.A clock shows 7:16. What time will it show 148 minutes later? (a) 9:54 (b) 9:34 (c) 10:44 (d) 9:44
  11. 11.How many degrees does the minute hand of a clock turn in 2 minutes? =
  12. 12.How many degrees does the minute hand of a clock turn in 32 minutes? =
  13. 13.How many degrees does the hour hand of a clock turn in 126 minutes? =
  14. 14.What is the smaller angle between the hour hand and the minute hand at 2:11? (in degrees) =
  15. 15.What is the smaller angle between the hour hand and the minute hand at 3:59? (in degrees) =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 6:25? (in degrees) =
  17. 17.What is the smaller angle between the hour hand and the minute hand at 10:21? (in degrees) =
  18. 18.A clock shows 1:58. What time will it show 83 minutes later? (a) 3:11 (b) 3:31 (c) 3:21 (d) 4:21
  19. 19.How many degrees does the hour hand of a clock turn in 47 minutes? =
  20. 20.A clock shows 2:22. What time will it show 56 minutes later? (a) 3:18 (b) 3:08 (c) 3:28 (d) 4:18
  21. 21.What is the smaller angle between the hour hand and the minute hand at 1:43? (in degrees) =
  22. 22.What is the smaller angle between the hour hand and the minute hand at 9:12? (in degrees) =
  23. 23.How many degrees does the minute hand of a clock turn in 16 minutes? =
  24. 24.A clock shows 12:55. What time will it show 109 minutes later? (a) 3:44 (b) 2:34 (c) 2:44 (d) 2:54
  25. 25.What is the smaller angle between the hour hand and the minute hand at 3:07? (in degrees) =
  26. 26.How many degrees does the hour hand of a clock turn in 113 minutes? =
  27. 27.What is the smaller angle between the hour hand and the minute hand at 1:14? (in degrees) =
  28. 28.How many degrees does the hour hand of a clock turn in 91 minutes? =
  29. 29.What is the smaller angle between the hour hand and the minute hand at 10:30? (in degrees) =
  30. 30.What is the smaller angle between the hour hand and the minute hand at 2:59? (in degrees) =
  31. 31.A clock shows 2:17. What time will it show 149 minutes later? (a) 5:46 (b) 4:36 (c) 4:46 (d) 4:56
  32. 32.What is the smaller angle between the hour hand and the minute hand at 3:29? (in degrees) =
  33. 33.How many degrees does the hour hand of a clock turn in 72 minutes? =
  34. 34.What is the smaller angle between the hour hand and the minute hand at 10:11? (in degrees) =
  35. 35.What is the smaller angle between the hour hand and the minute hand at 6:37? (in degrees) =
  36. 36.How many degrees does the hour hand of a clock turn in 178 minutes? =
  37. 37.How many degrees does the hour hand of a clock turn in 135 minutes? =
  38. 38.A clock shows 6:06. What time will it show 157 minutes later? (a) 8:53 (b) 9:43 (c) 8:33 (d) 8:43
  39. 39.How many degrees does the hour hand of a clock turn in 65 minutes? =
  40. 40.How many degrees does the minute hand of a clock turn in 12 minutes? =

Answer key

  1. 5:22
  2. 6:04
  3. 144
  4. 282
  5. 49
  6. 9:24
  7. 5.5
  8. 324
  9. 157
  10. 9:44
  11. 12
  12. 192
  13. 63
  14. 0.5
  15. 125.5
  16. 42.5
  17. 175.5
  18. 3:21
  19. 23.5
  20. 3:18
  21. 153.5
  22. 156
  23. 96
  24. 2:44
  25. 51.5
  26. 56.5
  27. 47
  28. 45.5
  29. 135
  30. 95.5
  31. 4:46
  32. 69.5
  33. 36
  34. 120.5
  35. 23.5
  36. 89
  37. 67.5
  38. 8:43
  39. 32.5
  40. 72

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