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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 608 · 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.What is the smaller angle between the hour hand and the minute hand at 7:09? (in degrees) =
  2. 2.How many degrees does the hour hand of a clock turn in 141 minutes? =
  3. 3.How many degrees does the hour hand of a clock turn in 97 minutes? =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 11:53? (in degrees) =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 2:43? (in degrees) =
  6. 6.A clock shows 6:37. What time will it show 41 minutes later? (a) 7:08 (b) 8:18 (c) 7:28 (d) 7:18
  7. 7.How many degrees does the hour hand of a clock turn in 68 minutes? =
  8. 8.How many degrees does the hour hand of a clock turn in 43 minutes? =
  9. 9.How many degrees does the minute hand of a clock turn in 41 minutes? =
  10. 10.A clock shows 7:02. What time will it show 20 minutes later? (a) 7:32 (b) 7:12 (c) 7:22 (d) 8:22
  11. 11.What is the smaller angle between the hour hand and the minute hand at 4:27? (in degrees) =
  12. 12.A clock shows 3:24. What time will it show 62 minutes later? (a) 5:26 (b) 4:36 (c) 4:16 (d) 4:26
  13. 13.What is the smaller angle between the hour hand and the minute hand at 4:05? (in degrees) =
  14. 14.How many degrees does the hour hand of a clock turn in 49 minutes? =
  15. 15.What is the smaller angle between the hour hand and the minute hand at 1:55? (in degrees) =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 3:14? (in degrees) =
  17. 17.What is the smaller angle between the hour hand and the minute hand at 1:11? (in degrees) =
  18. 18.A clock shows 9:04. What time will it show 97 minutes later? (a) 10:41 (b) 10:31 (c) 10:51 (d) 11:41
  19. 19.How many degrees does the minute hand of a clock turn in 8 minutes? =
  20. 20.How many degrees does the hour hand of a clock turn in 101 minutes? =
  21. 21.How many degrees does the minute hand of a clock turn in 29 minutes? =
  22. 22.What is the smaller angle between the hour hand and the minute hand at 10:41? (in degrees) =
  23. 23.A clock shows 7:02. What time will it show 72 minutes later? (a) 9:14 (b) 8:24 (c) 8:14 (d) 8:04
  24. 24.A clock shows 10:47. What time will it show 120 minutes later? (a) 12:37 (b) 1:47 (c) 12:57 (d) 12:47
  25. 25.How many degrees does the minute hand of a clock turn in 30 minutes? =
  26. 26.A clock shows 2:17. What time will it show 161 minutes later? (a) 4:58 (b) 5:58 (c) 5:08 (d) 4:48
  27. 27.What is the smaller angle between the hour hand and the minute hand at 1:56? (in degrees) =
  28. 28.A clock shows 8:42. What time will it show 167 minutes later? (a) 11:29 (b) 12:29 (c) 11:39 (d) 11:19
  29. 29.How many degrees does the minute hand of a clock turn in 21 minutes? =
  30. 30.What is the smaller angle between the hour hand and the minute hand at 1:29? (in degrees) =
  31. 31.How many degrees does the minute hand of a clock turn in 26 minutes? =
  32. 32.What is the smaller angle between the hour hand and the minute hand at 9:16? (in degrees) =
  33. 33.How many degrees does the hour hand of a clock turn in 120 minutes? =
  34. 34.How many degrees does the minute hand of a clock turn in 45 minutes? =
  35. 35.How many degrees does the minute hand of a clock turn in 49 minutes? =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 5:09? (in degrees) =
  37. 37.What is the smaller angle between the hour hand and the minute hand at 2:32? (in degrees) =
  38. 38.A clock shows 3:38. What time will it show 20 minutes later? (a) 4:58 (b) 3:48 (c) 4:08 (d) 3:58
  39. 39.What is the smaller angle between the hour hand and the minute hand at 3:36? (in degrees) =
  40. 40.What is the smaller angle between the hour hand and the minute hand at 8:26? (in degrees) =

Answer key

  1. 160.5
  2. 70.5
  3. 48.5
  4. 38.5
  5. 176.5
  6. 7:18
  7. 34
  8. 21.5
  9. 246
  10. 7:22
  11. 28.5
  12. 4:26
  13. 92.5
  14. 24.5
  15. 87.5
  16. 13
  17. 30.5
  18. 10:41
  19. 48
  20. 50.5
  21. 174
  22. 74.5
  23. 8:14
  24. 12:47
  25. 180
  26. 4:58
  27. 82
  28. 11:29
  29. 126
  30. 129.5
  31. 156
  32. 178
  33. 60
  34. 270
  35. 294
  36. 100.5
  37. 116
  38. 3:58
  39. 108
  40. 97

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