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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 573 · 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 32 minutes? =
  2. 2.What is the smaller angle between the hour hand and the minute hand at 1:40? (in degrees) =
  3. 3.How many degrees does the hour hand of a clock turn in 150 minutes? =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 4:08? (in degrees) =
  5. 5.How many degrees does the hour hand of a clock turn in 119 minutes? =
  6. 6.What is the smaller angle between the hour hand and the minute hand at 8:16? (in degrees) =
  7. 7.What is the smaller angle between the hour hand and the minute hand at 6:06? (in degrees) =
  8. 8.What is the smaller angle between the hour hand and the minute hand at 9:34? (in degrees) =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 2:40? (in degrees) =
  10. 10.How many degrees does the hour hand of a clock turn in 39 minutes? =
  11. 11.What is the smaller angle between the hour hand and the minute hand at 11:05? (in degrees) =
  12. 12.A clock shows 9:20. What time will it show 34 minutes later? (a) 10:54 (b) 9:54 (c) 9:44 (d) 10:04
  13. 13.How many degrees does the minute hand of a clock turn in 47 minutes? =
  14. 14.What is the smaller angle between the hour hand and the minute hand at 12:46? (in degrees) =
  15. 15.What is the smaller angle between the hour hand and the minute hand at 8:49? (in degrees) =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 2:47? (in degrees) =
  17. 17.How many degrees does the minute hand of a clock turn in 27 minutes? =
  18. 18.A clock shows 4:52. What time will it show 115 minutes later? (a) 6:57 (b) 6:37 (c) 7:47 (d) 6:47
  19. 19.What is the smaller angle between the hour hand and the minute hand at 4:50? (in degrees) =
  20. 20.How many degrees does the minute hand of a clock turn in 38 minutes? =
  21. 21.How many degrees does the minute hand of a clock turn in 16 minutes? =
  22. 22.What is the smaller angle between the hour hand and the minute hand at 1:13? (in degrees) =
  23. 23.A clock shows 6:01. What time will it show 89 minutes later? (a) 7:40 (b) 8:30 (c) 7:30 (d) 7:20
  24. 24.What is the smaller angle between the hour hand and the minute hand at 11:48? (in degrees) =
  25. 25.A clock shows 6:49. What time will it show 148 minutes later? (a) 10:17 (b) 9:17 (c) 9:07 (d) 9:27
  26. 26.What is the smaller angle between the hour hand and the minute hand at 3:44? (in degrees) =
  27. 27.What is the smaller angle between the hour hand and the minute hand at 2:25? (in degrees) =
  28. 28.How many degrees does the minute hand of a clock turn in 55 minutes? =
  29. 29.How many degrees does the hour hand of a clock turn in 20 minutes? =
  30. 30.What is the smaller angle between the hour hand and the minute hand at 8:27? (in degrees) =
  31. 31.How many degrees does the minute hand of a clock turn in 20 minutes? =
  32. 32.How many degrees does the minute hand of a clock turn in 48 minutes? =
  33. 33.How many degrees does the hour hand of a clock turn in 122 minutes? =
  34. 34.A clock shows 5:14. What time will it show 53 minutes later? (a) 6:07 (b) 7:07 (c) 6:17 (d) 5:57
  35. 35.How many degrees does the hour hand of a clock turn in 46 minutes? =
  36. 36.A clock shows 3:02. What time will it show 157 minutes later? (a) 5:29 (b) 5:39 (c) 5:49 (d) 6:39
  37. 37.What is the smaller angle between the hour hand and the minute hand at 9:37? (in degrees) =
  38. 38.How many degrees does the minute hand of a clock turn in 15 minutes? =
  39. 39.What is the smaller angle between the hour hand and the minute hand at 11:40? (in degrees) =
  40. 40.A clock shows 10:49. What time will it show 114 minutes later? (a) 1:43 (b) 12:53 (c) 12:33 (d) 12:43

Answer key

  1. 16
  2. 170
  3. 75
  4. 76
  5. 59.5
  6. 152
  7. 147
  8. 83
  9. 160
  10. 19.5
  11. 57.5
  12. 9:54
  13. 282
  14. 107
  15. 29.5
  16. 161.5
  17. 162
  18. 6:47
  19. 155
  20. 228
  21. 96
  22. 41.5
  23. 7:30
  24. 66
  25. 9:17
  26. 152
  27. 77.5
  28. 330
  29. 10
  30. 91.5
  31. 120
  32. 288
  33. 61
  34. 6:07
  35. 23
  36. 5:39
  37. 66.5
  38. 90
  39. 110
  40. 12:43

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