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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 965 · 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 10:33. What time will it show 159 minutes later? (a) 1:02 (b) 2:12 (c) 1:12 (d) 1:22
  2. 2.How many degrees does the hour hand of a clock turn in 71 minutes? =
  3. 3.How many degrees does the minute hand of a clock turn in 37 minutes? =
  4. 4.How many degrees does the minute hand of a clock turn in 31 minutes? =
  5. 5.How many degrees does the minute hand of a clock turn in 33 minutes? =
  6. 6.How many degrees does the hour hand of a clock turn in 135 minutes? =
  7. 7.What is the smaller angle between the hour hand and the minute hand at 7:11? (in degrees) =
  8. 8.A clock shows 11:32. What time will it show 20 minutes later? (a) 12:52 (b) 11:42 (c) 11:52 (d) 12:02
  9. 9.How many degrees does the minute hand of a clock turn in 6 minutes? =
  10. 10.A clock shows 1:28. What time will it show 129 minutes later? (a) 3:27 (b) 4:37 (c) 3:37 (d) 3:47
  11. 11.How many degrees does the hour hand of a clock turn in 31 minutes? =
  12. 12.How many degrees does the minute hand of a clock turn in 24 minutes? =
  13. 13.A clock shows 4:12. What time will it show 49 minutes later? (a) 5:11 (b) 5:01 (c) 4:51 (d) 6:01
  14. 14.How many degrees does the minute hand of a clock turn in 13 minutes? =
  15. 15.A clock shows 4:05. What time will it show 55 minutes later? (a) 5:10 (b) 6:00 (c) 4:50 (d) 5:00
  16. 16.What is the smaller angle between the hour hand and the minute hand at 6:34? (in degrees) =
  17. 17.What is the smaller angle between the hour hand and the minute hand at 9:16? (in degrees) =
  18. 18.What is the smaller angle between the hour hand and the minute hand at 9:01? (in degrees) =
  19. 19.What is the smaller angle between the hour hand and the minute hand at 3:21? (in degrees) =
  20. 20.What is the smaller angle between the hour hand and the minute hand at 11:36? (in degrees) =
  21. 21.What is the smaller angle between the hour hand and the minute hand at 1:44? (in degrees) =
  22. 22.How many degrees does the minute hand of a clock turn in 7 minutes? =
  23. 23.A clock shows 3:59. What time will it show 97 minutes later? (a) 5:26 (b) 5:36 (c) 5:46 (d) 6:36
  24. 24.A clock shows 6:33. What time will it show 121 minutes later? (a) 8:44 (b) 8:34 (c) 9:34 (d) 8:24
  25. 25.What is the smaller angle between the hour hand and the minute hand at 12:30? (in degrees) =
  26. 26.What is the smaller angle between the hour hand and the minute hand at 5:57? (in degrees) =
  27. 27.What is the smaller angle between the hour hand and the minute hand at 4:37? (in degrees) =
  28. 28.What is the smaller angle between the hour hand and the minute hand at 12:59? (in degrees) =
  29. 29.What is the smaller angle between the hour hand and the minute hand at 10:03? (in degrees) =
  30. 30.What is the smaller angle between the hour hand and the minute hand at 7:10? (in degrees) =
  31. 31.A clock shows 11:29. What time will it show 154 minutes later? (a) 2:03 (b) 3:03 (c) 1:53 (d) 2:13
  32. 32.What is the smaller angle between the hour hand and the minute hand at 4:25? (in degrees) =
  33. 33.What is the smaller angle between the hour hand and the minute hand at 5:07? (in degrees) =
  34. 34.A clock shows 8:49. What time will it show 97 minutes later? (a) 10:26 (b) 11:26 (c) 10:16 (d) 10:36
  35. 35.How many degrees does the minute hand of a clock turn in 54 minutes? =
  36. 36.A clock shows 11:54. What time will it show 42 minutes later? (a) 1:36 (b) 12:46 (c) 12:36 (d) 12:26
  37. 37.How many degrees does the minute hand of a clock turn in 49 minutes? =
  38. 38.How many degrees does the hour hand of a clock turn in 75 minutes? =
  39. 39.What is the smaller angle between the hour hand and the minute hand at 2:12? (in degrees) =
  40. 40.What is the smaller angle between the hour hand and the minute hand at 9:07? (in degrees) =

Answer key

  1. 1:12
  2. 35.5
  3. 222
  4. 186
  5. 198
  6. 67.5
  7. 149.5
  8. 11:52
  9. 36
  10. 3:37
  11. 15.5
  12. 144
  13. 5:01
  14. 78
  15. 5:00
  16. 7
  17. 178
  18. 95.5
  19. 25.5
  20. 132
  21. 148
  22. 42
  23. 5:36
  24. 8:34
  25. 165
  26. 163.5
  27. 83.5
  28. 35.5
  29. 76.5
  30. 155
  31. 2:03
  32. 17.5
  33. 111.5
  34. 10:26
  35. 324
  36. 12:36
  37. 294
  38. 37.5
  39. 6
  40. 128.5

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