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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 809 · 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 43 minutes? =
  2. 2.What is the smaller angle between the hour hand and the minute hand at 6:15? (in degrees) =
  3. 3.How many degrees does the minute hand of a clock turn in 46 minutes? =
  4. 4.A clock shows 6:11. What time will it show 134 minutes later? (a) 8:35 (b) 9:25 (c) 8:15 (d) 8:25
  5. 5.What is the smaller angle between the hour hand and the minute hand at 1:00? (in degrees) =
  6. 6.How many degrees does the minute hand of a clock turn in 59 minutes? =
  7. 7.How many degrees does the minute hand of a clock turn in 23 minutes? =
  8. 8.A clock shows 2:57. What time will it show 39 minutes later? (a) 3:26 (b) 3:36 (c) 4:36 (d) 3:46
  9. 9.How many degrees does the hour hand of a clock turn in 169 minutes? =
  10. 10.A clock shows 2:22. What time will it show 96 minutes later? (a) 3:58 (b) 4:58 (c) 4:08 (d) 3:48
  11. 11.A clock shows 11:09. What time will it show 86 minutes later? (a) 1:35 (b) 12:35 (c) 12:25 (d) 12:45
  12. 12.What is the smaller angle between the hour hand and the minute hand at 2:36? (in degrees) =
  13. 13.A clock shows 9:37. What time will it show 18 minutes later? (a) 10:05 (b) 9:55 (c) 9:45 (d) 10:55
  14. 14.A clock shows 3:40. What time will it show 163 minutes later? (a) 7:23 (b) 6:13 (c) 6:23 (d) 6:33
  15. 15.A clock shows 12:42. What time will it show 18 minutes later? (a) 1:00 (b) 1:10 (c) 12:50 (d) 2:00
  16. 16.How many degrees does the hour hand of a clock turn in 149 minutes? =
  17. 17.What is the smaller angle between the hour hand and the minute hand at 4:56? (in degrees) =
  18. 18.What is the smaller angle between the hour hand and the minute hand at 12:54? (in degrees) =
  19. 19.What is the smaller angle between the hour hand and the minute hand at 6:11? (in degrees) =
  20. 20.How many degrees does the hour hand of a clock turn in 110 minutes? =
  21. 21.How many degrees does the hour hand of a clock turn in 57 minutes? =
  22. 22.How many degrees does the minute hand of a clock turn in 18 minutes? =
  23. 23.How many degrees does the minute hand of a clock turn in 16 minutes? =
  24. 24.How many degrees does the hour hand of a clock turn in 12 minutes? =
  25. 25.How many degrees does the hour hand of a clock turn in 34 minutes? =
  26. 26.How many degrees does the hour hand of a clock turn in 175 minutes? =
  27. 27.What is the smaller angle between the hour hand and the minute hand at 5:07? (in degrees) =
  28. 28.A clock shows 8:18. What time will it show 68 minutes later? (a) 10:26 (b) 9:36 (c) 9:16 (d) 9:26
  29. 29.A clock shows 11:52. What time will it show 166 minutes later? (a) 2:48 (b) 3:38 (c) 2:38 (d) 2:28
  30. 30.What is the smaller angle between the hour hand and the minute hand at 6:36? (in degrees) =
  31. 31.What is the smaller angle between the hour hand and the minute hand at 3:01? (in degrees) =
  32. 32.What is the smaller angle between the hour hand and the minute hand at 2:32? (in degrees) =
  33. 33.What is the smaller angle between the hour hand and the minute hand at 12:41? (in degrees) =
  34. 34.What is the smaller angle between the hour hand and the minute hand at 1:59? (in degrees) =
  35. 35.What is the smaller angle between the hour hand and the minute hand at 3:06? (in degrees) =
  36. 36.How many degrees does the minute hand of a clock turn in 30 minutes? =
  37. 37.What is the smaller angle between the hour hand and the minute hand at 11:13? (in degrees) =
  38. 38.How many degrees does the hour hand of a clock turn in 171 minutes? =
  39. 39.A clock shows 3:48. What time will it show 39 minutes later? (a) 4:27 (b) 4:37 (c) 4:17 (d) 5:27
  40. 40.A clock shows 11:41. What time will it show 109 minutes later? (a) 1:20 (b) 2:30 (c) 1:30 (d) 1:40

Answer key

  1. 21.5
  2. 97.5
  3. 276
  4. 8:25
  5. 30
  6. 354
  7. 138
  8. 3:36
  9. 84.5
  10. 3:58
  11. 12:35
  12. 138
  13. 9:55
  14. 6:23
  15. 1:00
  16. 74.5
  17. 172
  18. 63
  19. 119.5
  20. 55
  21. 28.5
  22. 108
  23. 96
  24. 6
  25. 17
  26. 87.5
  27. 111.5
  28. 9:26
  29. 2:38
  30. 18
  31. 84.5
  32. 116
  33. 134.5
  34. 65.5
  35. 57
  36. 180
  37. 101.5
  38. 85.5
  39. 4:27
  40. 1:30

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