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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 696 · 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 104 minutes? =
  2. 2.What is the smaller angle between the hour hand and the minute hand at 9:46? (in degrees) =
  3. 3.A clock shows 3:51. What time will it show 120 minutes later? (a) 6:51 (b) 6:01 (c) 5:41 (d) 5:51
  4. 4.What is the smaller angle between the hour hand and the minute hand at 10:50? (in degrees) =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 5:21? (in degrees) =
  6. 6.A clock shows 5:49. What time will it show 12 minutes later? (a) 6:01 (b) 6:11 (c) 5:51 (d) 7:01
  7. 7.How many degrees does the minute hand of a clock turn in 3 minutes? =
  8. 8.A clock shows 4:24. What time will it show 63 minutes later? (a) 5:37 (b) 6:27 (c) 5:17 (d) 5:27
  9. 9.What is the smaller angle between the hour hand and the minute hand at 1:51? (in degrees) =
  10. 10.What is the smaller angle between the hour hand and the minute hand at 3:22? (in degrees) =
  11. 11.How many degrees does the minute hand of a clock turn in 10 minutes? =
  12. 12.What is the smaller angle between the hour hand and the minute hand at 4:33? (in degrees) =
  13. 13.What is the smaller angle between the hour hand and the minute hand at 11:45? (in degrees) =
  14. 14.How many degrees does the minute hand of a clock turn in 16 minutes? =
  15. 15.How many degrees does the hour hand of a clock turn in 90 minutes? =
  16. 16.How many degrees does the minute hand of a clock turn in 20 minutes? =
  17. 17.How many degrees does the hour hand of a clock turn in 80 minutes? =
  18. 18.What is the smaller angle between the hour hand and the minute hand at 10:43? (in degrees) =
  19. 19.What is the smaller angle between the hour hand and the minute hand at 4:37? (in degrees) =
  20. 20.A clock shows 5:46. What time will it show 92 minutes later? (a) 8:18 (b) 7:28 (c) 7:08 (d) 7:18
  21. 21.What is the smaller angle between the hour hand and the minute hand at 6:33? (in degrees) =
  22. 22.A clock shows 3:09. What time will it show 167 minutes later? (a) 5:56 (b) 6:56 (c) 5:46 (d) 6:06
  23. 23.How many degrees does the minute hand of a clock turn in 40 minutes? =
  24. 24.How many degrees does the hour hand of a clock turn in 166 minutes? =
  25. 25.What is the smaller angle between the hour hand and the minute hand at 12:28? (in degrees) =
  26. 26.A clock shows 6:55. What time will it show 74 minutes later? (a) 8:09 (b) 7:59 (c) 8:19 (d) 9:09
  27. 27.How many degrees does the minute hand of a clock turn in 58 minutes? =
  28. 28.What is the smaller angle between the hour hand and the minute hand at 5:38? (in degrees) =
  29. 29.What is the smaller angle between the hour hand and the minute hand at 7:45? (in degrees) =
  30. 30.What is the smaller angle between the hour hand and the minute hand at 4:51? (in degrees) =
  31. 31.A clock shows 3:20. What time will it show 156 minutes later? (a) 6:56 (b) 6:06 (c) 5:46 (d) 5:56
  32. 32.What is the smaller angle between the hour hand and the minute hand at 10:48? (in degrees) =
  33. 33.What is the smaller angle between the hour hand and the minute hand at 2:14? (in degrees) =
  34. 34.What is the smaller angle between the hour hand and the minute hand at 8:06? (in degrees) =
  35. 35.What is the smaller angle between the hour hand and the minute hand at 3:15? (in degrees) =
  36. 36.How many degrees does the hour hand of a clock turn in 42 minutes? =
  37. 37.A clock shows 3:35. What time will it show 122 minutes later? (a) 5:27 (b) 5:47 (c) 6:37 (d) 5:37
  38. 38.A clock shows 8:32. What time will it show 125 minutes later? (a) 10:47 (b) 10:27 (c) 10:37 (d) 11:37
  39. 39.A clock shows 7:14. What time will it show 168 minutes later? (a) 9:52 (b) 10:02 (c) 11:02 (d) 10:12
  40. 40.A clock shows 9:25. What time will it show 123 minutes later? (a) 12:28 (b) 11:18 (c) 11:28 (d) 11:38

Answer key

  1. 52
  2. 17
  3. 5:51
  4. 25
  5. 34.5
  6. 6:01
  7. 18
  8. 5:27
  9. 109.5
  10. 31
  11. 60
  12. 61.5
  13. 82.5
  14. 96
  15. 45
  16. 120
  17. 40
  18. 63.5
  19. 83.5
  20. 7:18
  21. 1.5
  22. 5:56
  23. 240
  24. 83
  25. 154
  26. 8:09
  27. 348
  28. 59
  29. 37.5
  30. 160.5
  31. 5:56
  32. 36
  33. 17
  34. 153
  35. 7.5
  36. 21
  37. 5:37
  38. 10:37
  39. 10:02
  40. 11:28

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