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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 117 · 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.A clock shows 5:28. What time will it show 116 minutes later? (a) 8:24 (b) 7:34 (c) 7:14 (d) 7:24
  2. 2.How many degrees does the hour hand of a clock turn in 95 minutes? =
  3. 3.A clock shows 9:50. What time will it show 82 minutes later? (a) 11:22 (b) 11:12 (c) 11:02 (d) 12:12
  4. 4.How many degrees does the hour hand of a clock turn in 34 minutes? =
  5. 5.How many degrees does the hour hand of a clock turn in 161 minutes? =
  6. 6.What is the smaller angle between the hour hand and the minute hand at 12:28? (in degrees) =
  7. 7.How many degrees does the minute hand of a clock turn in 40 minutes? =
  8. 8.What is the smaller angle between the hour hand and the minute hand at 2:55? (in degrees) =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 11:35? (in degrees) =
  10. 10.What is the smaller angle between the hour hand and the minute hand at 6:49? (in degrees) =
  11. 11.How many degrees does the hour hand of a clock turn in 140 minutes? =
  12. 12.A clock shows 8:27. What time will it show 131 minutes later? (a) 10:48 (b) 10:38 (c) 11:38 (d) 10:28
  13. 13.What is the smaller angle between the hour hand and the minute hand at 4:10? (in degrees) =
  14. 14.How many degrees does the minute hand of a clock turn in 53 minutes? =
  15. 15.How many degrees does the hour hand of a clock turn in 118 minutes? =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 8:16? (in degrees) =
  17. 17.What is the smaller angle between the hour hand and the minute hand at 5:11? (in degrees) =
  18. 18.What is the smaller angle between the hour hand and the minute hand at 11:22? (in degrees) =
  19. 19.How many degrees does the minute hand of a clock turn in 58 minutes? =
  20. 20.What is the smaller angle between the hour hand and the minute hand at 4:26? (in degrees) =
  21. 21.How many degrees does the minute hand of a clock turn in 45 minutes? =
  22. 22.A clock shows 10:14. What time will it show 43 minutes later? (a) 11:07 (b) 10:57 (c) 10:47 (d) 11:57
  23. 23.A clock shows 8:12. What time will it show 24 minutes later? (a) 8:26 (b) 9:36 (c) 8:36 (d) 8:46
  24. 24.How many degrees does the hour hand of a clock turn in 32 minutes? =
  25. 25.What is the smaller angle between the hour hand and the minute hand at 4:23? (in degrees) =
  26. 26.A clock shows 11:47. What time will it show 118 minutes later? (a) 1:35 (b) 2:45 (c) 1:55 (d) 1:45
  27. 27.What is the smaller angle between the hour hand and the minute hand at 2:39? (in degrees) =
  28. 28.How many degrees does the hour hand of a clock turn in 45 minutes? =
  29. 29.What is the smaller angle between the hour hand and the minute hand at 7:31? (in degrees) =
  30. 30.How many degrees does the minute hand of a clock turn in 31 minutes? =
  31. 31.What is the smaller angle between the hour hand and the minute hand at 2:14? (in degrees) =
  32. 32.How many degrees does the minute hand of a clock turn in 21 minutes? =
  33. 33.A clock shows 4:31. What time will it show 162 minutes later? (a) 7:03 (b) 8:13 (c) 7:13 (d) 7:23
  34. 34.What is the smaller angle between the hour hand and the minute hand at 2:31? (in degrees) =
  35. 35.How many degrees does the minute hand of a clock turn in 59 minutes? =
  36. 36.How many degrees does the minute hand of a clock turn in 9 minutes? =
  37. 37.A clock shows 6:23. What time will it show 68 minutes later? (a) 7:31 (b) 8:31 (c) 7:21 (d) 7:41
  38. 38.What is the smaller angle between the hour hand and the minute hand at 2:32? (in degrees) =
  39. 39.How many degrees does the minute hand of a clock turn in 17 minutes? =
  40. 40.What is the smaller angle between the hour hand and the minute hand at 12:24? (in degrees) =

Answer key

  1. 7:24
  2. 47.5
  3. 11:12
  4. 17
  5. 80.5
  6. 154
  7. 240
  8. 117.5
  9. 137.5
  10. 89.5
  11. 70
  12. 10:38
  13. 65
  14. 318
  15. 59
  16. 152
  17. 89.5
  18. 151
  19. 348
  20. 23
  21. 270
  22. 10:57
  23. 8:36
  24. 16
  25. 6.5
  26. 1:45
  27. 154.5
  28. 22.5
  29. 39.5
  30. 186
  31. 17
  32. 126
  33. 7:13
  34. 110.5
  35. 354
  36. 54
  37. 7:31
  38. 116
  39. 102
  40. 132

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