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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 564 · 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 12:14. What time will it show 66 minutes later? (a) 1:20 (b) 1:30 (c) 2:20 (d) 1:10
  2. 2.What is the smaller angle between the hour hand and the minute hand at 2:11? (in degrees) =
  3. 3.What is the smaller angle between the hour hand and the minute hand at 3:05? (in degrees) =
  4. 4.How many degrees does the hour hand of a clock turn in 147 minutes? =
  5. 5.A clock shows 6:14. What time will it show 130 minutes later? (a) 9:24 (b) 8:14 (c) 8:34 (d) 8:24
  6. 6.A clock shows 6:07. What time will it show 49 minutes later? (a) 7:56 (b) 6:46 (c) 7:06 (d) 6:56
  7. 7.What is the smaller angle between the hour hand and the minute hand at 8:27? (in degrees) =
  8. 8.How many degrees does the hour hand of a clock turn in 153 minutes? =
  9. 9.How many degrees does the hour hand of a clock turn in 46 minutes? =
  10. 10.A clock shows 10:20. What time will it show 84 minutes later? (a) 12:44 (b) 11:54 (c) 11:34 (d) 11:44
  11. 11.A clock shows 1:25. What time will it show 166 minutes later? (a) 4:11 (b) 5:11 (c) 4:01 (d) 4:21
  12. 12.What is the smaller angle between the hour hand and the minute hand at 7:33? (in degrees) =
  13. 13.How many degrees does the minute hand of a clock turn in 8 minutes? =
  14. 14.What is the smaller angle between the hour hand and the minute hand at 2:14? (in degrees) =
  15. 15.What is the smaller angle between the hour hand and the minute hand at 10:56? (in degrees) =
  16. 16.How many degrees does the hour hand of a clock turn in 167 minutes? =
  17. 17.What is the smaller angle between the hour hand and the minute hand at 5:57? (in degrees) =
  18. 18.How many degrees does the hour hand of a clock turn in 133 minutes? =
  19. 19.What is the smaller angle between the hour hand and the minute hand at 1:10? (in degrees) =
  20. 20.A clock shows 9:29. What time will it show 140 minutes later? (a) 11:39 (b) 12:49 (c) 11:59 (d) 11:49
  21. 21.What is the smaller angle between the hour hand and the minute hand at 12:52? (in degrees) =
  22. 22.How many degrees does the minute hand of a clock turn in 5 minutes? =
  23. 23.What is the smaller angle between the hour hand and the minute hand at 7:28? (in degrees) =
  24. 24.A clock shows 9:59. What time will it show 52 minutes later? (a) 10:51 (b) 11:51 (c) 10:41 (d) 11:01
  25. 25.What is the smaller angle between the hour hand and the minute hand at 5:30? (in degrees) =
  26. 26.What is the smaller angle between the hour hand and the minute hand at 9:05? (in degrees) =
  27. 27.How many degrees does the hour hand of a clock turn in 128 minutes? =
  28. 28.How many degrees does the hour hand of a clock turn in 173 minutes? =
  29. 29.How many degrees does the hour hand of a clock turn in 47 minutes? =
  30. 30.What is the smaller angle between the hour hand and the minute hand at 5:20? (in degrees) =
  31. 31.What is the smaller angle between the hour hand and the minute hand at 5:43? (in degrees) =
  32. 32.A clock shows 4:36. What time will it show 123 minutes later? (a) 6:29 (b) 7:39 (c) 6:49 (d) 6:39
  33. 33.How many degrees does the hour hand of a clock turn in 86 minutes? =
  34. 34.What is the smaller angle between the hour hand and the minute hand at 12:26? (in degrees) =
  35. 35.What is the smaller angle between the hour hand and the minute hand at 3:11? (in degrees) =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 7:19? (in degrees) =
  37. 37.A clock shows 9:42. What time will it show 73 minutes later? (a) 10:45 (b) 10:55 (c) 11:55 (d) 11:05
  38. 38.What is the smaller angle between the hour hand and the minute hand at 10:17? (in degrees) =
  39. 39.How many degrees does the hour hand of a clock turn in 74 minutes? =
  40. 40.A clock shows 4:01. What time will it show 53 minutes later? (a) 4:54 (b) 5:04 (c) 4:44 (d) 5:54

Answer key

  1. 1:20
  2. 0.5
  3. 62.5
  4. 73.5
  5. 8:24
  6. 6:56
  7. 91.5
  8. 76.5
  9. 23
  10. 11:44
  11. 4:11
  12. 28.5
  13. 48
  14. 17
  15. 8
  16. 83.5
  17. 163.5
  18. 66.5
  19. 25
  20. 11:49
  21. 74
  22. 30
  23. 56
  24. 10:51
  25. 15
  26. 117.5
  27. 64
  28. 86.5
  29. 23.5
  30. 40
  31. 86.5
  32. 6:39
  33. 43
  34. 143
  35. 29.5
  36. 105.5
  37. 10:55
  38. 153.5
  39. 37
  40. 4:54

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