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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 95 · 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 17 minutes? =
  2. 2.What is the smaller angle between the hour hand and the minute hand at 3:31? (in degrees) =
  3. 3.What is the smaller angle between the hour hand and the minute hand at 6:57? (in degrees) =
  4. 4.A clock shows 6:55. What time will it show 165 minutes later? (a) 9:50 (b) 10:40 (c) 9:30 (d) 9:40
  5. 5.A clock shows 10:46. What time will it show 33 minutes later? (a) 11:29 (b) 12:19 (c) 11:19 (d) 11:09
  6. 6.What is the smaller angle between the hour hand and the minute hand at 5:20? (in degrees) =
  7. 7.How many degrees does the hour hand of a clock turn in 47 minutes? =
  8. 8.A clock shows 7:43. What time will it show 163 minutes later? (a) 10:36 (b) 10:16 (c) 10:26 (d) 11:26
  9. 9.A clock shows 8:20. What time will it show 115 minutes later? (a) 10:25 (b) 10:05 (c) 11:15 (d) 10:15
  10. 10.How many degrees does the hour hand of a clock turn in 76 minutes? =
  11. 11.What is the smaller angle between the hour hand and the minute hand at 11:08? (in degrees) =
  12. 12.How many degrees does the hour hand of a clock turn in 10 minutes? =
  13. 13.How many degrees does the hour hand of a clock turn in 74 minutes? =
  14. 14.How many degrees does the hour hand of a clock turn in 115 minutes? =
  15. 15.What is the smaller angle between the hour hand and the minute hand at 6:15? (in degrees) =
  16. 16.How many degrees does the hour hand of a clock turn in 164 minutes? =
  17. 17.A clock shows 11:54. What time will it show 110 minutes later? (a) 1:54 (b) 1:34 (c) 2:44 (d) 1:44
  18. 18.How many degrees does the hour hand of a clock turn in 101 minutes? =
  19. 19.A clock shows 2:53. What time will it show 119 minutes later? (a) 4:42 (b) 5:02 (c) 5:52 (d) 4:52
  20. 20.How many degrees does the hour hand of a clock turn in 175 minutes? =
  21. 21.What is the smaller angle between the hour hand and the minute hand at 9:24? (in degrees) =
  22. 22.How many degrees does the hour hand of a clock turn in 54 minutes? =
  23. 23.A clock shows 5:26. What time will it show 39 minutes later? (a) 6:15 (b) 5:55 (c) 7:05 (d) 6:05
  24. 24.How many degrees does the minute hand of a clock turn in 46 minutes? =
  25. 25.What is the smaller angle between the hour hand and the minute hand at 4:27? (in degrees) =
  26. 26.A clock shows 3:13. What time will it show 168 minutes later? (a) 6:01 (b) 6:11 (c) 7:01 (d) 5:51
  27. 27.A clock shows 12:18. What time will it show 56 minutes later? (a) 2:14 (b) 1:04 (c) 1:14 (d) 1:24
  28. 28.What is the smaller angle between the hour hand and the minute hand at 8:47? (in degrees) =
  29. 29.What is the smaller angle between the hour hand and the minute hand at 5:37? (in degrees) =
  30. 30.What is the smaller angle between the hour hand and the minute hand at 12:57? (in degrees) =
  31. 31.What is the smaller angle between the hour hand and the minute hand at 4:00? (in degrees) =
  32. 32.What is the smaller angle between the hour hand and the minute hand at 4:59? (in degrees) =
  33. 33.What is the smaller angle between the hour hand and the minute hand at 6:00? (in degrees) =
  34. 34.A clock shows 6:34. What time will it show 49 minutes later? (a) 7:33 (b) 7:13 (c) 8:23 (d) 7:23
  35. 35.How many degrees does the minute hand of a clock turn in 3 minutes? =
  36. 36.How many degrees does the minute hand of a clock turn in 48 minutes? =
  37. 37.How many degrees does the minute hand of a clock turn in 27 minutes? =
  38. 38.How many degrees does the minute hand of a clock turn in 6 minutes? =
  39. 39.How many degrees does the hour hand of a clock turn in 73 minutes? =
  40. 40.A clock shows 11:54. What time will it show 151 minutes later? (a) 3:25 (b) 2:15 (c) 2:35 (d) 2:25

Answer key

  1. 102
  2. 80.5
  3. 133.5
  4. 9:40
  5. 11:19
  6. 40
  7. 23.5
  8. 10:26
  9. 10:15
  10. 38
  11. 74
  12. 5
  13. 37
  14. 57.5
  15. 97.5
  16. 82
  17. 1:44
  18. 50.5
  19. 4:52
  20. 87.5
  21. 138
  22. 27
  23. 6:05
  24. 276
  25. 28.5
  26. 6:01
  27. 1:14
  28. 18.5
  29. 53.5
  30. 46.5
  31. 120
  32. 155.5
  33. 180
  34. 7:23
  35. 18
  36. 288
  37. 162
  38. 36
  39. 36.5
  40. 2:25

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