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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 702 · 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 153 minutes? =
  2. 2.What is the smaller angle between the hour hand and the minute hand at 8:41? (in degrees) =
  3. 3.A clock shows 2:37. What time will it show 42 minutes later? (a) 3:19 (b) 3:29 (c) 3:09 (d) 4:19
  4. 4.How many degrees does the minute hand of a clock turn in 49 minutes? =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 3:07? (in degrees) =
  6. 6.How many degrees does the hour hand of a clock turn in 52 minutes? =
  7. 7.What is the smaller angle between the hour hand and the minute hand at 5:38? (in degrees) =
  8. 8.How many degrees does the minute hand of a clock turn in 30 minutes? =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 8:58? (in degrees) =
  10. 10.What is the smaller angle between the hour hand and the minute hand at 6:52? (in degrees) =
  11. 11.How many degrees does the hour hand of a clock turn in 58 minutes? =
  12. 12.A clock shows 7:27. What time will it show 35 minutes later? (a) 8:12 (b) 8:02 (c) 7:52 (d) 9:02
  13. 13.What is the smaller angle between the hour hand and the minute hand at 3:39? (in degrees) =
  14. 14.What is the smaller angle between the hour hand and the minute hand at 2:49? (in degrees) =
  15. 15.How many degrees does the hour hand of a clock turn in 43 minutes? =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 9:00? (in degrees) =
  17. 17.How many degrees does the hour hand of a clock turn in 10 minutes? =
  18. 18.What is the smaller angle between the hour hand and the minute hand at 12:12? (in degrees) =
  19. 19.What is the smaller angle between the hour hand and the minute hand at 5:53? (in degrees) =
  20. 20.What is the smaller angle between the hour hand and the minute hand at 4:42? (in degrees) =
  21. 21.What is the smaller angle between the hour hand and the minute hand at 3:33? (in degrees) =
  22. 22.A clock shows 1:15. What time will it show 95 minutes later? (a) 2:40 (b) 2:50 (c) 3:50 (d) 3:00
  23. 23.What is the smaller angle between the hour hand and the minute hand at 6:16? (in degrees) =
  24. 24.What is the smaller angle between the hour hand and the minute hand at 9:13? (in degrees) =
  25. 25.What is the smaller angle between the hour hand and the minute hand at 1:13? (in degrees) =
  26. 26.How many degrees does the hour hand of a clock turn in 116 minutes? =
  27. 27.How many degrees does the hour hand of a clock turn in 165 minutes? =
  28. 28.What is the smaller angle between the hour hand and the minute hand at 9:27? (in degrees) =
  29. 29.A clock shows 2:23. What time will it show 13 minutes later? (a) 2:46 (b) 2:36 (c) 2:26 (d) 3:36
  30. 30.What is the smaller angle between the hour hand and the minute hand at 11:25? (in degrees) =
  31. 31.How many degrees does the minute hand of a clock turn in 47 minutes? =
  32. 32.A clock shows 9:19. What time will it show 160 minutes later? (a) 12:09 (b) 12:59 (c) 11:59 (d) 11:49
  33. 33.How many degrees does the hour hand of a clock turn in 122 minutes? =
  34. 34.What is the smaller angle between the hour hand and the minute hand at 10:56? (in degrees) =
  35. 35.What is the smaller angle between the hour hand and the minute hand at 1:55? (in degrees) =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 2:32? (in degrees) =
  37. 37.What is the smaller angle between the hour hand and the minute hand at 6:28? (in degrees) =
  38. 38.What is the smaller angle between the hour hand and the minute hand at 7:15? (in degrees) =
  39. 39.What is the smaller angle between the hour hand and the minute hand at 1:40? (in degrees) =
  40. 40.A clock shows 4:02. What time will it show 23 minutes later? (a) 4:35 (b) 5:25 (c) 4:25 (d) 4:15

Answer key

  1. 76.5
  2. 14.5
  3. 3:19
  4. 294
  5. 51.5
  6. 26
  7. 59
  8. 180
  9. 79
  10. 106
  11. 29
  12. 8:02
  13. 124.5
  14. 150.5
  15. 21.5
  16. 90
  17. 5
  18. 66
  19. 141.5
  20. 111
  21. 91.5
  22. 2:50
  23. 92
  24. 161.5
  25. 41.5
  26. 58
  27. 82.5
  28. 121.5
  29. 2:36
  30. 167.5
  31. 282
  32. 11:59
  33. 61
  34. 8
  35. 87.5
  36. 116
  37. 26
  38. 127.5
  39. 170
  40. 4:25

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