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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 501 · 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 hour hand of a clock turn in 21 minutes? =
  2. 2.What is the smaller angle between the hour hand and the minute hand at 1:59? (in degrees) =
  3. 3.A clock shows 11:44. What time will it show 116 minutes later? (a) 2:40 (b) 1:40 (c) 1:30 (d) 1:50
  4. 4.What is the smaller angle between the hour hand and the minute hand at 11:33? (in degrees) =
  5. 5.A clock shows 5:12. What time will it show 164 minutes later? (a) 7:46 (b) 8:06 (c) 7:56 (d) 8:56
  6. 6.What is the smaller angle between the hour hand and the minute hand at 9:04? (in degrees) =
  7. 7.What is the smaller angle between the hour hand and the minute hand at 8:32? (in degrees) =
  8. 8.What is the smaller angle between the hour hand and the minute hand at 11:37? (in degrees) =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 1:33? (in degrees) =
  10. 10.What is the smaller angle between the hour hand and the minute hand at 7:24? (in degrees) =
  11. 11.How many degrees does the hour hand of a clock turn in 135 minutes? =
  12. 12.A clock shows 12:07. What time will it show 165 minutes later? (a) 3:52 (b) 2:52 (c) 3:02 (d) 2:42
  13. 13.How many degrees does the hour hand of a clock turn in 58 minutes? =
  14. 14.How many degrees does the hour hand of a clock turn in 74 minutes? =
  15. 15.A clock shows 5:19. What time will it show 148 minutes later? (a) 8:47 (b) 7:37 (c) 7:47 (d) 7:57
  16. 16.How many degrees does the hour hand of a clock turn in 85 minutes? =
  17. 17.How many degrees does the minute hand of a clock turn in 43 minutes? =
  18. 18.What is the smaller angle between the hour hand and the minute hand at 12:52? (in degrees) =
  19. 19.What is the smaller angle between the hour hand and the minute hand at 2:11? (in degrees) =
  20. 20.How many degrees does the minute hand of a clock turn in 17 minutes? =
  21. 21.What is the smaller angle between the hour hand and the minute hand at 5:24? (in degrees) =
  22. 22.What is the smaller angle between the hour hand and the minute hand at 1:03? (in degrees) =
  23. 23.How many degrees does the minute hand of a clock turn in 13 minutes? =
  24. 24.What is the smaller angle between the hour hand and the minute hand at 6:46? (in degrees) =
  25. 25.A clock shows 4:10. What time will it show 48 minutes later? (a) 4:58 (b) 5:58 (c) 5:08 (d) 4:48
  26. 26.How many degrees does the hour hand of a clock turn in 115 minutes? =
  27. 27.How many degrees does the hour hand of a clock turn in 52 minutes? =
  28. 28.What is the smaller angle between the hour hand and the minute hand at 12:34? (in degrees) =
  29. 29.A clock shows 12:07. What time will it show 132 minutes later? (a) 2:29 (b) 3:19 (c) 2:19 (d) 2:09
  30. 30.How many degrees does the hour hand of a clock turn in 127 minutes? =
  31. 31.A clock shows 11:29. What time will it show 61 minutes later? (a) 12:40 (b) 1:30 (c) 12:30 (d) 12:20
  32. 32.What is the smaller angle between the hour hand and the minute hand at 1:17? (in degrees) =
  33. 33.What is the smaller angle between the hour hand and the minute hand at 5:19? (in degrees) =
  34. 34.What is the smaller angle between the hour hand and the minute hand at 9:32? (in degrees) =
  35. 35.A clock shows 1:17. What time will it show 127 minutes later? (a) 4:24 (b) 3:34 (c) 3:24 (d) 3:14
  36. 36.A clock shows 3:26. What time will it show 105 minutes later? (a) 5:21 (b) 5:11 (c) 6:11 (d) 5:01
  37. 37.What is the smaller angle between the hour hand and the minute hand at 5:23? (in degrees) =
  38. 38.What is the smaller angle between the hour hand and the minute hand at 6:00? (in degrees) =
  39. 39.A clock shows 7:12. What time will it show 46 minutes later? (a) 8:08 (b) 7:58 (c) 8:58 (d) 7:48
  40. 40.A clock shows 3:35. What time will it show 148 minutes later? (a) 6:03 (b) 7:03 (c) 6:13 (d) 5:53

Answer key

  1. 10.5
  2. 65.5
  3. 1:40
  4. 148.5
  5. 7:56
  6. 112
  7. 64
  8. 126.5
  9. 151.5
  10. 78
  11. 67.5
  12. 2:52
  13. 29
  14. 37
  15. 7:47
  16. 42.5
  17. 258
  18. 74
  19. 0.5
  20. 102
  21. 18
  22. 13.5
  23. 78
  24. 73
  25. 4:58
  26. 57.5
  27. 26
  28. 173
  29. 2:19
  30. 63.5
  31. 12:30
  32. 63.5
  33. 45.5
  34. 94
  35. 3:24
  36. 5:11
  37. 23.5
  38. 180
  39. 7:58
  40. 6:03

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