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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 35 · 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 12:27? (in degrees) =
  2. 2.What is the smaller angle between the hour hand and the minute hand at 3:57? (in degrees) =
  3. 3.A clock shows 5:34. What time will it show 13 minutes later? (a) 6:47 (b) 5:37 (c) 5:47 (d) 5:57
  4. 4.How many degrees does the hour hand of a clock turn in 76 minutes? =
  5. 5.How many degrees does the hour hand of a clock turn in 164 minutes? =
  6. 6.How many degrees does the minute hand of a clock turn in 2 minutes? =
  7. 7.How many degrees does the hour hand of a clock turn in 46 minutes? =
  8. 8.What is the smaller angle between the hour hand and the minute hand at 11:13? (in degrees) =
  9. 9.How many degrees does the minute hand of a clock turn in 44 minutes? =
  10. 10.What is the smaller angle between the hour hand and the minute hand at 8:44? (in degrees) =
  11. 11.How many degrees does the minute hand of a clock turn in 18 minutes? =
  12. 12.What is the smaller angle between the hour hand and the minute hand at 6:43? (in degrees) =
  13. 13.How many degrees does the minute hand of a clock turn in 28 minutes? =
  14. 14.What is the smaller angle between the hour hand and the minute hand at 11:04? (in degrees) =
  15. 15.A clock shows 3:10. What time will it show 43 minutes later? (a) 3:43 (b) 4:03 (c) 4:53 (d) 3:53
  16. 16.A clock shows 1:37. What time will it show 94 minutes later? (a) 3:11 (b) 3:01 (c) 4:11 (d) 3:21
  17. 17.What is the smaller angle between the hour hand and the minute hand at 9:03? (in degrees) =
  18. 18.How many degrees does the minute hand of a clock turn in 12 minutes? =
  19. 19.A clock shows 5:52. What time will it show 54 minutes later? (a) 6:56 (b) 6:46 (c) 7:46 (d) 6:36
  20. 20.What is the smaller angle between the hour hand and the minute hand at 1:07? (in degrees) =
  21. 21.How many degrees does the minute hand of a clock turn in 54 minutes? =
  22. 22.A clock shows 3:34. What time will it show 159 minutes later? (a) 6:13 (b) 6:03 (c) 7:13 (d) 6:23
  23. 23.What is the smaller angle between the hour hand and the minute hand at 6:46? (in degrees) =
  24. 24.A clock shows 3:28. What time will it show 83 minutes later? (a) 4:41 (b) 4:51 (c) 5:01 (d) 5:51
  25. 25.What is the smaller angle between the hour hand and the minute hand at 6:00? (in degrees) =
  26. 26.What is the smaller angle between the hour hand and the minute hand at 10:10? (in degrees) =
  27. 27.How many degrees does the hour hand of a clock turn in 38 minutes? =
  28. 28.A clock shows 12:15. What time will it show 46 minutes later? (a) 1:01 (b) 12:51 (c) 1:11 (d) 2:01
  29. 29.What is the smaller angle between the hour hand and the minute hand at 1:08? (in degrees) =
  30. 30.A clock shows 6:25. What time will it show 40 minutes later? (a) 7:05 (b) 7:15 (c) 8:05 (d) 6:55
  31. 31.How many degrees does the hour hand of a clock turn in 121 minutes? =
  32. 32.What is the smaller angle between the hour hand and the minute hand at 9:10? (in degrees) =
  33. 33.How many degrees does the minute hand of a clock turn in 47 minutes? =
  34. 34.A clock shows 11:49. What time will it show 126 minutes later? (a) 2:05 (b) 1:55 (c) 1:45 (d) 2:55
  35. 35.What is the smaller angle between the hour hand and the minute hand at 3:49? (in degrees) =
  36. 36.How many degrees does the minute hand of a clock turn in 43 minutes? =
  37. 37.What is the smaller angle between the hour hand and the minute hand at 3:48? (in degrees) =
  38. 38.What is the smaller angle between the hour hand and the minute hand at 11:47? (in degrees) =
  39. 39.What is the smaller angle between the hour hand and the minute hand at 2:43? (in degrees) =
  40. 40.How many degrees does the minute hand of a clock turn in 24 minutes? =

Answer key

  1. 148.5
  2. 136.5
  3. 5:47
  4. 38
  5. 82
  6. 12
  7. 23
  8. 101.5
  9. 264
  10. 2
  11. 108
  12. 56.5
  13. 168
  14. 52
  15. 3:53
  16. 3:11
  17. 106.5
  18. 72
  19. 6:46
  20. 8.5
  21. 324
  22. 6:13
  23. 73
  24. 4:51
  25. 180
  26. 115
  27. 19
  28. 1:01
  29. 14
  30. 7:05
  31. 60.5
  32. 145
  33. 282
  34. 1:55
  35. 179.5
  36. 258
  37. 174
  38. 71.5
  39. 176.5
  40. 144

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