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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 224 · 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 3:24? (in degrees) =
  2. 2.A clock shows 7:59. What time will it show 166 minutes later? (a) 10:35 (b) 10:45 (c) 11:45 (d) 10:55
  3. 3.How many degrees does the minute hand of a clock turn in 42 minutes? =
  4. 4.How many degrees does the minute hand of a clock turn in 22 minutes? =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 11:23? (in degrees) =
  6. 6.How many degrees does the minute hand of a clock turn in 16 minutes? =
  7. 7.A clock shows 4:52. What time will it show 93 minutes later? (a) 6:35 (b) 7:25 (c) 6:25 (d) 6:15
  8. 8.How many degrees does the hour hand of a clock turn in 174 minutes? =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 7:45? (in degrees) =
  10. 10.How many degrees does the minute hand of a clock turn in 11 minutes? =
  11. 11.What is the smaller angle between the hour hand and the minute hand at 12:00? (in degrees) =
  12. 12.How many degrees does the hour hand of a clock turn in 17 minutes? =
  13. 13.How many degrees does the minute hand of a clock turn in 55 minutes? =
  14. 14.What is the smaller angle between the hour hand and the minute hand at 8:03? (in degrees) =
  15. 15.What is the smaller angle between the hour hand and the minute hand at 9:21? (in degrees) =
  16. 16.A clock shows 7:04. What time will it show 118 minutes later? (a) 9:12 (b) 9:02 (c) 10:02 (d) 8:52
  17. 17.What is the smaller angle between the hour hand and the minute hand at 12:47? (in degrees) =
  18. 18.What is the smaller angle between the hour hand and the minute hand at 9:41? (in degrees) =
  19. 19.A clock shows 6:18. What time will it show 164 minutes later? (a) 10:02 (b) 9:02 (c) 9:12 (d) 8:52
  20. 20.What is the smaller angle between the hour hand and the minute hand at 6:31? (in degrees) =
  21. 21.What is the smaller angle between the hour hand and the minute hand at 7:43? (in degrees) =
  22. 22.What is the smaller angle between the hour hand and the minute hand at 3:26? (in degrees) =
  23. 23.What is the smaller angle between the hour hand and the minute hand at 7:04? (in degrees) =
  24. 24.A clock shows 6:47. What time will it show 158 minutes later? (a) 9:25 (b) 9:15 (c) 10:25 (d) 9:35
  25. 25.What is the smaller angle between the hour hand and the minute hand at 2:40? (in degrees) =
  26. 26.How many degrees does the minute hand of a clock turn in 5 minutes? =
  27. 27.What is the smaller angle between the hour hand and the minute hand at 1:10? (in degrees) =
  28. 28.What is the smaller angle between the hour hand and the minute hand at 7:56? (in degrees) =
  29. 29.How many degrees does the minute hand of a clock turn in 57 minutes? =
  30. 30.A clock shows 7:11. What time will it show 116 minutes later? (a) 9:07 (b) 8:57 (c) 10:07 (d) 9:17
  31. 31.What is the smaller angle between the hour hand and the minute hand at 5:30? (in degrees) =
  32. 32.What is the smaller angle between the hour hand and the minute hand at 4:00? (in degrees) =
  33. 33.A clock shows 3:43. What time will it show 122 minutes later? (a) 5:55 (b) 6:45 (c) 5:45 (d) 5:35
  34. 34.How many degrees does the hour hand of a clock turn in 126 minutes? =
  35. 35.A clock shows 5:24. What time will it show 164 minutes later? (a) 8:18 (b) 7:58 (c) 9:08 (d) 8:08
  36. 36.How many degrees does the minute hand of a clock turn in 8 minutes? =
  37. 37.How many degrees does the hour hand of a clock turn in 14 minutes? =
  38. 38.What is the smaller angle between the hour hand and the minute hand at 1:33? (in degrees) =
  39. 39.What is the smaller angle between the hour hand and the minute hand at 3:27? (in degrees) =
  40. 40.What is the smaller angle between the hour hand and the minute hand at 9:27? (in degrees) =

Answer key

  1. 42
  2. 10:45
  3. 252
  4. 132
  5. 156.5
  6. 96
  7. 6:25
  8. 87
  9. 37.5
  10. 66
  11. 0
  12. 8.5
  13. 330
  14. 136.5
  15. 154.5
  16. 9:02
  17. 101.5
  18. 44.5
  19. 9:02
  20. 9.5
  21. 26.5
  22. 53
  23. 172
  24. 9:25
  25. 160
  26. 30
  27. 25
  28. 98
  29. 342
  30. 9:07
  31. 15
  32. 120
  33. 5:45
  34. 63
  35. 8:08
  36. 48
  37. 7
  38. 151.5
  39. 58.5
  40. 121.5

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