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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 442 · 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 8:36? (in degrees) =
  2. 2.How many degrees does the minute hand of a clock turn in 7 minutes? =
  3. 3.How many degrees does the hour hand of a clock turn in 48 minutes? =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 6:49? (in degrees) =
  5. 5.How many degrees does the hour hand of a clock turn in 180 minutes? =
  6. 6.How many degrees does the hour hand of a clock turn in 179 minutes? =
  7. 7.How many degrees does the minute hand of a clock turn in 54 minutes? =
  8. 8.What is the smaller angle between the hour hand and the minute hand at 1:05? (in degrees) =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 8:13? (in degrees) =
  10. 10.A clock shows 11:04. What time will it show 65 minutes later? (a) 12:09 (b) 11:59 (c) 12:19 (d) 1:09
  11. 11.What is the smaller angle between the hour hand and the minute hand at 12:52? (in degrees) =
  12. 12.What is the smaller angle between the hour hand and the minute hand at 3:02? (in degrees) =
  13. 13.A clock shows 3:02. What time will it show 25 minutes later? (a) 3:27 (b) 4:27 (c) 3:37 (d) 3:17
  14. 14.How many degrees does the hour hand of a clock turn in 35 minutes? =
  15. 15.A clock shows 3:04. What time will it show 166 minutes later? (a) 5:40 (b) 5:50 (c) 6:00 (d) 6:50
  16. 16.What is the smaller angle between the hour hand and the minute hand at 2:31? (in degrees) =
  17. 17.What is the smaller angle between the hour hand and the minute hand at 8:10? (in degrees) =
  18. 18.What is the smaller angle between the hour hand and the minute hand at 7:43? (in degrees) =
  19. 19.What is the smaller angle between the hour hand and the minute hand at 11:38? (in degrees) =
  20. 20.A clock shows 6:30. What time will it show 40 minutes later? (a) 8:10 (b) 7:00 (c) 7:20 (d) 7:10
  21. 21.What is the smaller angle between the hour hand and the minute hand at 7:09? (in degrees) =
  22. 22.What is the smaller angle between the hour hand and the minute hand at 9:39? (in degrees) =
  23. 23.A clock shows 7:52. What time will it show 85 minutes later? (a) 9:07 (b) 10:17 (c) 9:17 (d) 9:27
  24. 24.How many degrees does the minute hand of a clock turn in 4 minutes? =
  25. 25.How many degrees does the hour hand of a clock turn in 135 minutes? =
  26. 26.How many degrees does the hour hand of a clock turn in 163 minutes? =
  27. 27.How many degrees does the minute hand of a clock turn in 26 minutes? =
  28. 28.How many degrees does the hour hand of a clock turn in 101 minutes? =
  29. 29.How many degrees does the hour hand of a clock turn in 53 minutes? =
  30. 30.How many degrees does the hour hand of a clock turn in 152 minutes? =
  31. 31.A clock shows 9:01. What time will it show 52 minutes later? (a) 10:03 (b) 9:43 (c) 10:53 (d) 9:53
  32. 32.A clock shows 4:44. What time will it show 42 minutes later? (a) 5:16 (b) 5:36 (c) 5:26 (d) 6:26
  33. 33.What is the smaller angle between the hour hand and the minute hand at 8:06? (in degrees) =
  34. 34.What is the smaller angle between the hour hand and the minute hand at 2:25? (in degrees) =
  35. 35.A clock shows 9:47. What time will it show 103 minutes later? (a) 11:30 (b) 12:30 (c) 11:40 (d) 11:20
  36. 36.What is the smaller angle between the hour hand and the minute hand at 9:18? (in degrees) =
  37. 37.What is the smaller angle between the hour hand and the minute hand at 2:24? (in degrees) =
  38. 38.What is the smaller angle between the hour hand and the minute hand at 1:13? (in degrees) =
  39. 39.What is the smaller angle between the hour hand and the minute hand at 12:23? (in degrees) =
  40. 40.What is the smaller angle between the hour hand and the minute hand at 6:13? (in degrees) =

Answer key

  1. 42
  2. 42
  3. 24
  4. 89.5
  5. 90
  6. 89.5
  7. 324
  8. 2.5
  9. 168.5
  10. 12:09
  11. 74
  12. 79
  13. 3:27
  14. 17.5
  15. 5:50
  16. 110.5
  17. 175
  18. 26.5
  19. 121
  20. 7:10
  21. 160.5
  22. 55.5
  23. 9:17
  24. 24
  25. 67.5
  26. 81.5
  27. 156
  28. 50.5
  29. 26.5
  30. 76
  31. 9:53
  32. 5:26
  33. 153
  34. 77.5
  35. 11:30
  36. 171
  37. 72
  38. 41.5
  39. 126.5
  40. 108.5

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