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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 97 · 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 11:12. What time will it show 95 minutes later? (a) 12:37 (b) 1:47 (c) 12:47 (d) 12:57
  2. 2.How many degrees does the hour hand of a clock turn in 63 minutes? =
  3. 3.How many degrees does the minute hand of a clock turn in 15 minutes? =
  4. 4.A clock shows 11:09. What time will it show 38 minutes later? (a) 11:47 (b) 11:57 (c) 11:37 (d) 12:47
  5. 5.What is the smaller angle between the hour hand and the minute hand at 11:37? (in degrees) =
  6. 6.What is the smaller angle between the hour hand and the minute hand at 8:03? (in degrees) =
  7. 7.What is the smaller angle between the hour hand and the minute hand at 7:59? (in degrees) =
  8. 8.How many degrees does the minute hand of a clock turn in 52 minutes? =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 3:18? (in degrees) =
  10. 10.How many degrees does the minute hand of a clock turn in 27 minutes? =
  11. 11.How many degrees does the hour hand of a clock turn in 30 minutes? =
  12. 12.What is the smaller angle between the hour hand and the minute hand at 1:58? (in degrees) =
  13. 13.What is the smaller angle between the hour hand and the minute hand at 5:21? (in degrees) =
  14. 14.What is the smaller angle between the hour hand and the minute hand at 6:25? (in degrees) =
  15. 15.A clock shows 3:44. What time will it show 111 minutes later? (a) 6:35 (b) 5:35 (c) 5:45 (d) 5:25
  16. 16.What is the smaller angle between the hour hand and the minute hand at 2:14? (in degrees) =
  17. 17.How many degrees does the hour hand of a clock turn in 104 minutes? =
  18. 18.What is the smaller angle between the hour hand and the minute hand at 1:16? (in degrees) =
  19. 19.What is the smaller angle between the hour hand and the minute hand at 6:20? (in degrees) =
  20. 20.A clock shows 12:25. What time will it show 152 minutes later? (a) 3:07 (b) 2:47 (c) 3:57 (d) 2:57
  21. 21.What is the smaller angle between the hour hand and the minute hand at 2:37? (in degrees) =
  22. 22.A clock shows 7:45. What time will it show 31 minutes later? (a) 8:26 (b) 8:06 (c) 9:16 (d) 8:16
  23. 23.What is the smaller angle between the hour hand and the minute hand at 7:05? (in degrees) =
  24. 24.How many degrees does the minute hand of a clock turn in 14 minutes? =
  25. 25.What is the smaller angle between the hour hand and the minute hand at 5:24? (in degrees) =
  26. 26.A clock shows 6:41. What time will it show 37 minutes later? (a) 7:08 (b) 7:18 (c) 8:18 (d) 7:28
  27. 27.What is the smaller angle between the hour hand and the minute hand at 4:46? (in degrees) =
  28. 28.What is the smaller angle between the hour hand and the minute hand at 9:27? (in degrees) =
  29. 29.What is the smaller angle between the hour hand and the minute hand at 8:16? (in degrees) =
  30. 30.What is the smaller angle between the hour hand and the minute hand at 11:04? (in degrees) =
  31. 31.How many degrees does the minute hand of a clock turn in 20 minutes? =
  32. 32.A clock shows 7:48. What time will it show 20 minutes later? (a) 9:08 (b) 7:58 (c) 8:08 (d) 8:18
  33. 33.What is the smaller angle between the hour hand and the minute hand at 8:09? (in degrees) =
  34. 34.What is the smaller angle between the hour hand and the minute hand at 1:29? (in degrees) =
  35. 35.What is the smaller angle between the hour hand and the minute hand at 10:36? (in degrees) =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 11:35? (in degrees) =
  37. 37.A clock shows 10:32. What time will it show 64 minutes later? (a) 11:36 (b) 11:46 (c) 11:26 (d) 12:36
  38. 38.How many degrees does the minute hand of a clock turn in 24 minutes? =
  39. 39.What is the smaller angle between the hour hand and the minute hand at 6:33? (in degrees) =
  40. 40.What is the smaller angle between the hour hand and the minute hand at 9:14? (in degrees) =

Answer key

  1. 12:47
  2. 31.5
  3. 90
  4. 11:47
  5. 126.5
  6. 136.5
  7. 114.5
  8. 312
  9. 9
  10. 162
  11. 15
  12. 71
  13. 34.5
  14. 42.5
  15. 5:35
  16. 17
  17. 52
  18. 58
  19. 70
  20. 2:57
  21. 143.5
  22. 8:16
  23. 177.5
  24. 84
  25. 18
  26. 7:18
  27. 133
  28. 121.5
  29. 152
  30. 52
  31. 120
  32. 8:08
  33. 169.5
  34. 129.5
  35. 102
  36. 137.5
  37. 11:36
  38. 144
  39. 1.5
  40. 167

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