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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 229 · 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 minute hand of a clock turn in 35 minutes? =
  2. 2.What is the smaller angle between the hour hand and the minute hand at 11:03? (in degrees) =
  3. 3.How many degrees does the minute hand of a clock turn in 18 minutes? =
  4. 4.How many degrees does the hour hand of a clock turn in 18 minutes? =
  5. 5.A clock shows 6:10. What time will it show 101 minutes later? (a) 7:41 (b) 7:51 (c) 8:51 (d) 8:01
  6. 6.How many degrees does the hour hand of a clock turn in 135 minutes? =
  7. 7.How many degrees does the minute hand of a clock turn in 55 minutes? =
  8. 8.What is the smaller angle between the hour hand and the minute hand at 2:12? (in degrees) =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 6:47? (in degrees) =
  10. 10.What is the smaller angle between the hour hand and the minute hand at 7:30? (in degrees) =
  11. 11.What is the smaller angle between the hour hand and the minute hand at 4:26? (in degrees) =
  12. 12.A clock shows 11:36. What time will it show 79 minutes later? (a) 12:45 (b) 12:55 (c) 1:55 (d) 1:05
  13. 13.A clock shows 6:05. What time will it show 19 minutes later? (a) 6:34 (b) 7:24 (c) 6:14 (d) 6:24
  14. 14.What is the smaller angle between the hour hand and the minute hand at 7:00? (in degrees) =
  15. 15.How many degrees does the minute hand of a clock turn in 49 minutes? =
  16. 16.A clock shows 4:42. What time will it show 50 minutes later? (a) 5:22 (b) 6:32 (c) 5:42 (d) 5:32
  17. 17.What is the smaller angle between the hour hand and the minute hand at 2:02? (in degrees) =
  18. 18.What is the smaller angle between the hour hand and the minute hand at 9:31? (in degrees) =
  19. 19.How many degrees does the minute hand of a clock turn in 46 minutes? =
  20. 20.How many degrees does the minute hand of a clock turn in 7 minutes? =
  21. 21.What is the smaller angle between the hour hand and the minute hand at 2:34? (in degrees) =
  22. 22.How many degrees does the hour hand of a clock turn in 156 minutes? =
  23. 23.What is the smaller angle between the hour hand and the minute hand at 7:19? (in degrees) =
  24. 24.What is the smaller angle between the hour hand and the minute hand at 12:39? (in degrees) =
  25. 25.What is the smaller angle between the hour hand and the minute hand at 6:13? (in degrees) =
  26. 26.What is the smaller angle between the hour hand and the minute hand at 7:03? (in degrees) =
  27. 27.A clock shows 3:53. What time will it show 31 minutes later? (a) 4:34 (b) 4:24 (c) 4:14 (d) 5:24
  28. 28.What is the smaller angle between the hour hand and the minute hand at 12:03? (in degrees) =
  29. 29.What is the smaller angle between the hour hand and the minute hand at 2:58? (in degrees) =
  30. 30.A clock shows 2:41. What time will it show 99 minutes later? (a) 4:10 (b) 4:30 (c) 5:20 (d) 4:20
  31. 31.How many degrees does the hour hand of a clock turn in 169 minutes? =
  32. 32.How many degrees does the minute hand of a clock turn in 4 minutes? =
  33. 33.A clock shows 5:48. What time will it show 109 minutes later? (a) 7:47 (b) 7:27 (c) 7:37 (d) 8:37
  34. 34.What is the smaller angle between the hour hand and the minute hand at 2:14? (in degrees) =
  35. 35.How many degrees does the minute hand of a clock turn in 5 minutes? =
  36. 36.How many degrees does the hour hand of a clock turn in 58 minutes? =
  37. 37.How many degrees does the minute hand of a clock turn in 52 minutes? =
  38. 38.How many degrees does the hour hand of a clock turn in 39 minutes? =
  39. 39.How many degrees does the hour hand of a clock turn in 44 minutes? =
  40. 40.How many degrees does the hour hand of a clock turn in 79 minutes? =

Answer key

  1. 210
  2. 46.5
  3. 108
  4. 9
  5. 7:51
  6. 67.5
  7. 330
  8. 6
  9. 78.5
  10. 45
  11. 23
  12. 12:55
  13. 6:24
  14. 150
  15. 294
  16. 5:32
  17. 49
  18. 99.5
  19. 276
  20. 42
  21. 127
  22. 78
  23. 105.5
  24. 145.5
  25. 108.5
  26. 166.5
  27. 4:24
  28. 16.5
  29. 101
  30. 4:20
  31. 84.5
  32. 24
  33. 7:37
  34. 17
  35. 30
  36. 29
  37. 312
  38. 19.5
  39. 22
  40. 39.5

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