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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 260 · 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 89 minutes? =
  2. 2.How many degrees does the minute hand of a clock turn in 14 minutes? =
  3. 3.What is the smaller angle between the hour hand and the minute hand at 1:40? (in degrees) =
  4. 4.How many degrees does the minute hand of a clock turn in 52 minutes? =
  5. 5.A clock shows 6:17. What time will it show 38 minutes later? (a) 6:45 (b) 6:55 (c) 7:55 (d) 7:05
  6. 6.How many degrees does the minute hand of a clock turn in 40 minutes? =
  7. 7.A clock shows 6:09. What time will it show 87 minutes later? (a) 7:26 (b) 8:36 (c) 7:36 (d) 7:46
  8. 8.A clock shows 2:35. What time will it show 82 minutes later? (a) 4:07 (b) 3:57 (c) 4:57 (d) 3:47
  9. 9.What is the smaller angle between the hour hand and the minute hand at 5:45? (in degrees) =
  10. 10.A clock shows 7:28. What time will it show 155 minutes later? (a) 10:13 (b) 10:03 (c) 11:03 (d) 9:53
  11. 11.What is the smaller angle between the hour hand and the minute hand at 3:41? (in degrees) =
  12. 12.How many degrees does the minute hand of a clock turn in 54 minutes? =
  13. 13.A clock shows 10:37. What time will it show 126 minutes later? (a) 12:33 (b) 1:43 (c) 12:43 (d) 12:53
  14. 14.What is the smaller angle between the hour hand and the minute hand at 11:28? (in degrees) =
  15. 15.How many degrees does the hour hand of a clock turn in 11 minutes? =
  16. 16.How many degrees does the minute hand of a clock turn in 22 minutes? =
  17. 17.How many degrees does the hour hand of a clock turn in 76 minutes? =
  18. 18.A clock shows 1:33. What time will it show 101 minutes later? (a) 4:14 (b) 3:24 (c) 3:04 (d) 3:14
  19. 19.How many degrees does the hour hand of a clock turn in 144 minutes? =
  20. 20.What is the smaller angle between the hour hand and the minute hand at 3:13? (in degrees) =
  21. 21.A clock shows 5:01. What time will it show 42 minutes later? (a) 5:33 (b) 6:43 (c) 5:53 (d) 5:43
  22. 22.What is the smaller angle between the hour hand and the minute hand at 2:11? (in degrees) =
  23. 23.How many degrees does the hour hand of a clock turn in 66 minutes? =
  24. 24.A clock shows 5:08. What time will it show 78 minutes later? (a) 6:16 (b) 7:26 (c) 6:26 (d) 6:36
  25. 25.A clock shows 1:43. What time will it show 71 minutes later? (a) 2:44 (b) 2:54 (c) 3:54 (d) 3:04
  26. 26.A clock shows 11:24. What time will it show 43 minutes later? (a) 11:57 (b) 12:17 (c) 12:07 (d) 1:07
  27. 27.What is the smaller angle between the hour hand and the minute hand at 7:06? (in degrees) =
  28. 28.What is the smaller angle between the hour hand and the minute hand at 12:38? (in degrees) =
  29. 29.What is the smaller angle between the hour hand and the minute hand at 1:56? (in degrees) =
  30. 30.What is the smaller angle between the hour hand and the minute hand at 12:23? (in degrees) =
  31. 31.How many degrees does the minute hand of a clock turn in 53 minutes? =
  32. 32.How many degrees does the hour hand of a clock turn in 60 minutes? =
  33. 33.What is the smaller angle between the hour hand and the minute hand at 10:52? (in degrees) =
  34. 34.What is the smaller angle between the hour hand and the minute hand at 3:16? (in degrees) =
  35. 35.What is the smaller angle between the hour hand and the minute hand at 4:41? (in degrees) =
  36. 36.How many degrees does the hour hand of a clock turn in 64 minutes? =
  37. 37.What is the smaller angle between the hour hand and the minute hand at 9:41? (in degrees) =
  38. 38.What is the smaller angle between the hour hand and the minute hand at 2:36? (in degrees) =
  39. 39.How many degrees does the hour hand of a clock turn in 15 minutes? =
  40. 40.A clock shows 5:14. What time will it show 22 minutes later? (a) 5:46 (b) 5:26 (c) 6:36 (d) 5:36

Answer key

  1. 44.5
  2. 84
  3. 170
  4. 312
  5. 6:55
  6. 240
  7. 7:36
  8. 3:57
  9. 97.5
  10. 10:03
  11. 135.5
  12. 324
  13. 12:43
  14. 176
  15. 5.5
  16. 132
  17. 38
  18. 3:14
  19. 72
  20. 18.5
  21. 5:43
  22. 0.5
  23. 33
  24. 6:26
  25. 2:54
  26. 12:07
  27. 177
  28. 151
  29. 82
  30. 126.5
  31. 318
  32. 30
  33. 14
  34. 2
  35. 105.5
  36. 32
  37. 44.5
  38. 138
  39. 7.5
  40. 5:36

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