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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 287 · 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 8:18. What time will it show 36 minutes later? (a) 8:54 (b) 8:44 (c) 9:54 (d) 9:04
  2. 2.What is the smaller angle between the hour hand and the minute hand at 6:11? (in degrees) =
  3. 3.How many degrees does the hour hand of a clock turn in 44 minutes? =
  4. 4.A clock shows 5:18. What time will it show 108 minutes later? (a) 6:56 (b) 7:06 (c) 7:16 (d) 8:06
  5. 5.What is the smaller angle between the hour hand and the minute hand at 12:41? (in degrees) =
  6. 6.What is the smaller angle between the hour hand and the minute hand at 2:35? (in degrees) =
  7. 7.What is the smaller angle between the hour hand and the minute hand at 7:05? (in degrees) =
  8. 8.What is the smaller angle between the hour hand and the minute hand at 5:08? (in degrees) =
  9. 9.A clock shows 8:23. What time will it show 154 minutes later? (a) 10:57 (b) 11:07 (c) 10:47 (d) 11:57
  10. 10.What is the smaller angle between the hour hand and the minute hand at 5:03? (in degrees) =
  11. 11.What is the smaller angle between the hour hand and the minute hand at 2:39? (in degrees) =
  12. 12.How many degrees does the minute hand of a clock turn in 10 minutes? =
  13. 13.What is the smaller angle between the hour hand and the minute hand at 10:06? (in degrees) =
  14. 14.What is the smaller angle between the hour hand and the minute hand at 7:20? (in degrees) =
  15. 15.How many degrees does the minute hand of a clock turn in 54 minutes? =
  16. 16.A clock shows 8:14. What time will it show 107 minutes later? (a) 10:01 (b) 11:01 (c) 9:51 (d) 10:11
  17. 17.A clock shows 2:52. What time will it show 91 minutes later? (a) 5:23 (b) 4:23 (c) 4:33 (d) 4:13
  18. 18.A clock shows 8:12. What time will it show 103 minutes later? (a) 10:05 (b) 9:45 (c) 9:55 (d) 10:55
  19. 19.What is the smaller angle between the hour hand and the minute hand at 9:32? (in degrees) =
  20. 20.A clock shows 11:12. What time will it show 65 minutes later? (a) 1:17 (b) 12:07 (c) 12:17 (d) 12:27
  21. 21.What is the smaller angle between the hour hand and the minute hand at 7:52? (in degrees) =
  22. 22.What is the smaller angle between the hour hand and the minute hand at 9:40? (in degrees) =
  23. 23.What is the smaller angle between the hour hand and the minute hand at 2:22? (in degrees) =
  24. 24.How many degrees does the minute hand of a clock turn in 53 minutes? =
  25. 25.What is the smaller angle between the hour hand and the minute hand at 12:52? (in degrees) =
  26. 26.A clock shows 10:52. What time will it show 169 minutes later? (a) 1:51 (b) 2:41 (c) 1:31 (d) 1:41
  27. 27.A clock shows 4:50. What time will it show 135 minutes later? (a) 7:15 (b) 7:05 (c) 8:05 (d) 6:55
  28. 28.How many degrees does the minute hand of a clock turn in 26 minutes? =
  29. 29.A clock shows 8:14. What time will it show 73 minutes later? (a) 9:27 (b) 9:17 (c) 9:37 (d) 10:27
  30. 30.A clock shows 8:36. What time will it show 131 minutes later? (a) 10:57 (b) 10:47 (c) 11:47 (d) 10:37
  31. 31.A clock shows 5:36. What time will it show 21 minutes later? (a) 5:47 (b) 5:57 (c) 6:07 (d) 6:57
  32. 32.How many degrees does the minute hand of a clock turn in 40 minutes? =
  33. 33.What is the smaller angle between the hour hand and the minute hand at 1:22? (in degrees) =
  34. 34.How many degrees does the minute hand of a clock turn in 20 minutes? =
  35. 35.What is the smaller angle between the hour hand and the minute hand at 8:22? (in degrees) =
  36. 36.How many degrees does the hour hand of a clock turn in 36 minutes? =
  37. 37.What is the smaller angle between the hour hand and the minute hand at 10:14? (in degrees) =
  38. 38.What is the smaller angle between the hour hand and the minute hand at 5:57? (in degrees) =
  39. 39.What is the smaller angle between the hour hand and the minute hand at 4:17? (in degrees) =
  40. 40.What is the smaller angle between the hour hand and the minute hand at 3:06? (in degrees) =

Answer key

  1. 8:54
  2. 119.5
  3. 22
  4. 7:06
  5. 134.5
  6. 132.5
  7. 177.5
  8. 106
  9. 10:57
  10. 133.5
  11. 154.5
  12. 60
  13. 93
  14. 100
  15. 324
  16. 10:01
  17. 4:23
  18. 9:55
  19. 94
  20. 12:17
  21. 76
  22. 50
  23. 61
  24. 318
  25. 74
  26. 1:41
  27. 7:05
  28. 156
  29. 9:27
  30. 10:47
  31. 5:57
  32. 240
  33. 91
  34. 120
  35. 119
  36. 18
  37. 137
  38. 163.5
  39. 26.5
  40. 57

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