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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 479 · 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 177 minutes? =
  2. 2.What is the smaller angle between the hour hand and the minute hand at 7:44? (in degrees) =
  3. 3.What is the smaller angle between the hour hand and the minute hand at 11:55? (in degrees) =
  4. 4.How many degrees does the minute hand of a clock turn in 3 minutes? =
  5. 5.How many degrees does the hour hand of a clock turn in 156 minutes? =
  6. 6.What is the smaller angle between the hour hand and the minute hand at 5:13? (in degrees) =
  7. 7.How many degrees does the minute hand of a clock turn in 2 minutes? =
  8. 8.A clock shows 12:10. What time will it show 142 minutes later? (a) 3:32 (b) 2:42 (c) 2:22 (d) 2:32
  9. 9.What is the smaller angle between the hour hand and the minute hand at 10:03? (in degrees) =
  10. 10.How many degrees does the hour hand of a clock turn in 53 minutes? =
  11. 11.A clock shows 10:46. What time will it show 141 minutes later? (a) 2:07 (b) 1:07 (c) 12:57 (d) 1:17
  12. 12.A clock shows 5:21. What time will it show 98 minutes later? (a) 6:59 (b) 7:09 (c) 7:59 (d) 6:49
  13. 13.What is the smaller angle between the hour hand and the minute hand at 6:24? (in degrees) =
  14. 14.What is the smaller angle between the hour hand and the minute hand at 2:58? (in degrees) =
  15. 15.What is the smaller angle between the hour hand and the minute hand at 4:11? (in degrees) =
  16. 16.How many degrees does the hour hand of a clock turn in 131 minutes? =
  17. 17.What is the smaller angle between the hour hand and the minute hand at 2:54? (in degrees) =
  18. 18.What is the smaller angle between the hour hand and the minute hand at 2:44? (in degrees) =
  19. 19.A clock shows 7:49. What time will it show 109 minutes later? (a) 9:38 (b) 10:38 (c) 9:48 (d) 9:28
  20. 20.What is the smaller angle between the hour hand and the minute hand at 6:52? (in degrees) =
  21. 21.What is the smaller angle between the hour hand and the minute hand at 3:50? (in degrees) =
  22. 22.How many degrees does the minute hand of a clock turn in 15 minutes? =
  23. 23.What is the smaller angle between the hour hand and the minute hand at 1:08? (in degrees) =
  24. 24.How many degrees does the hour hand of a clock turn in 68 minutes? =
  25. 25.How many degrees does the hour hand of a clock turn in 31 minutes? =
  26. 26.A clock shows 11:28. What time will it show 74 minutes later? (a) 12:32 (b) 1:42 (c) 12:52 (d) 12:42
  27. 27.A clock shows 5:00. What time will it show 102 minutes later? (a) 6:32 (b) 7:42 (c) 6:52 (d) 6:42
  28. 28.What is the smaller angle between the hour hand and the minute hand at 3:20? (in degrees) =
  29. 29.What is the smaller angle between the hour hand and the minute hand at 5:41? (in degrees) =
  30. 30.How many degrees does the hour hand of a clock turn in 52 minutes? =
  31. 31.What is the smaller angle between the hour hand and the minute hand at 2:25? (in degrees) =
  32. 32.What is the smaller angle between the hour hand and the minute hand at 4:57? (in degrees) =
  33. 33.What is the smaller angle between the hour hand and the minute hand at 9:39? (in degrees) =
  34. 34.How many degrees does the minute hand of a clock turn in 56 minutes? =
  35. 35.What is the smaller angle between the hour hand and the minute hand at 6:45? (in degrees) =
  36. 36.A clock shows 12:50. What time will it show 121 minutes later? (a) 3:01 (b) 3:51 (c) 2:51 (d) 2:41
  37. 37.What is the smaller angle between the hour hand and the minute hand at 2:46? (in degrees) =
  38. 38.How many degrees does the minute hand of a clock turn in 46 minutes? =
  39. 39.What is the smaller angle between the hour hand and the minute hand at 11:24? (in degrees) =
  40. 40.A clock shows 12:07. What time will it show 135 minutes later? (a) 3:22 (b) 2:32 (c) 2:22 (d) 2:12

Answer key

  1. 88.5
  2. 32
  3. 27.5
  4. 18
  5. 78
  6. 78.5
  7. 12
  8. 2:32
  9. 76.5
  10. 26.5
  11. 1:07
  12. 6:59
  13. 48
  14. 101
  15. 59.5
  16. 65.5
  17. 123
  18. 178
  19. 9:38
  20. 106
  21. 175
  22. 90
  23. 14
  24. 34
  25. 15.5
  26. 12:42
  27. 6:42
  28. 20
  29. 75.5
  30. 26
  31. 77.5
  32. 166.5
  33. 55.5
  34. 336
  35. 67.5
  36. 2:51
  37. 167
  38. 276
  39. 162
  40. 2:22

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