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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 739 · 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 8:50. What time will it show 106 minutes later? (a) 10:46 (b) 10:26 (c) 11:36 (d) 10:36
  2. 2.What is the smaller angle between the hour hand and the minute hand at 3:29? (in degrees) =
  3. 3.What is the smaller angle between the hour hand and the minute hand at 1:03? (in degrees) =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 2:27? (in degrees) =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 12:23? (in degrees) =
  6. 6.What is the smaller angle between the hour hand and the minute hand at 4:11? (in degrees) =
  7. 7.A clock shows 7:28. What time will it show 54 minutes later? (a) 8:32 (b) 9:22 (c) 8:12 (d) 8:22
  8. 8.A clock shows 10:40. What time will it show 21 minutes later? (a) 10:51 (b) 11:01 (c) 12:01 (d) 11:11
  9. 9.What is the smaller angle between the hour hand and the minute hand at 9:19? (in degrees) =
  10. 10.What is the smaller angle between the hour hand and the minute hand at 12:58? (in degrees) =
  11. 11.How many degrees does the hour hand of a clock turn in 71 minutes? =
  12. 12.How many degrees does the hour hand of a clock turn in 25 minutes? =
  13. 13.How many degrees does the minute hand of a clock turn in 10 minutes? =
  14. 14.A clock shows 11:53. What time will it show 37 minutes later? (a) 12:30 (b) 12:40 (c) 12:20 (d) 1:30
  15. 15.What is the smaller angle between the hour hand and the minute hand at 4:53? (in degrees) =
  16. 16.How many degrees does the hour hand of a clock turn in 98 minutes? =
  17. 17.What is the smaller angle between the hour hand and the minute hand at 10:21? (in degrees) =
  18. 18.What is the smaller angle between the hour hand and the minute hand at 2:57? (in degrees) =
  19. 19.How many degrees does the minute hand of a clock turn in 31 minutes? =
  20. 20.What is the smaller angle between the hour hand and the minute hand at 5:00? (in degrees) =
  21. 21.What is the smaller angle between the hour hand and the minute hand at 10:34? (in degrees) =
  22. 22.What is the smaller angle between the hour hand and the minute hand at 11:23? (in degrees) =
  23. 23.How many degrees does the hour hand of a clock turn in 56 minutes? =
  24. 24.What is the smaller angle between the hour hand and the minute hand at 8:27? (in degrees) =
  25. 25.How many degrees does the minute hand of a clock turn in 33 minutes? =
  26. 26.What is the smaller angle between the hour hand and the minute hand at 6:06? (in degrees) =
  27. 27.What is the smaller angle between the hour hand and the minute hand at 6:34? (in degrees) =
  28. 28.What is the smaller angle between the hour hand and the minute hand at 6:57? (in degrees) =
  29. 29.A clock shows 6:17. What time will it show 64 minutes later? (a) 7:11 (b) 8:21 (c) 7:21 (d) 7:31
  30. 30.A clock shows 8:15. What time will it show 40 minutes later? (a) 8:45 (b) 9:05 (c) 9:55 (d) 8:55
  31. 31.How many degrees does the minute hand of a clock turn in 51 minutes? =
  32. 32.A clock shows 1:45. What time will it show 167 minutes later? (a) 4:22 (b) 5:32 (c) 4:32 (d) 4:42
  33. 33.What is the smaller angle between the hour hand and the minute hand at 2:06? (in degrees) =
  34. 34.A clock shows 9:11. What time will it show 53 minutes later? (a) 11:04 (b) 10:14 (c) 9:54 (d) 10:04
  35. 35.A clock shows 12:15. What time will it show 162 minutes later? (a) 2:47 (b) 2:57 (c) 3:57 (d) 3:07
  36. 36.A clock shows 1:49. What time will it show 23 minutes later? (a) 2:22 (b) 2:12 (c) 2:02 (d) 3:12
  37. 37.How many degrees does the minute hand of a clock turn in 52 minutes? =
  38. 38.How many degrees does the hour hand of a clock turn in 149 minutes? =
  39. 39.A clock shows 12:24. What time will it show 165 minutes later? (a) 4:09 (b) 3:09 (c) 2:59 (d) 3:19
  40. 40.A clock shows 10:24. What time will it show 60 minutes later? (a) 11:14 (b) 12:24 (c) 11:24 (d) 11:34

Answer key

  1. 10:36
  2. 69.5
  3. 13.5
  4. 88.5
  5. 126.5
  6. 59.5
  7. 8:22
  8. 11:01
  9. 165.5
  10. 41
  11. 35.5
  12. 12.5
  13. 60
  14. 12:30
  15. 171.5
  16. 49
  17. 175.5
  18. 106.5
  19. 186
  20. 150
  21. 113
  22. 156.5
  23. 28
  24. 91.5
  25. 198
  26. 147
  27. 7
  28. 133.5
  29. 7:21
  30. 8:55
  31. 306
  32. 4:32
  33. 27
  34. 10:04
  35. 2:57
  36. 2:12
  37. 312
  38. 74.5
  39. 3:09
  40. 11:24

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