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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 86 · 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 36 minutes? =
  2. 2.What is the smaller angle between the hour hand and the minute hand at 4:10? (in degrees) =
  3. 3.How many degrees does the minute hand of a clock turn in 16 minutes? =
  4. 4.How many degrees does the hour hand of a clock turn in 105 minutes? =
  5. 5.A clock shows 3:05. What time will it show 97 minutes later? (a) 4:52 (b) 4:42 (c) 4:32 (d) 5:42
  6. 6.What is the smaller angle between the hour hand and the minute hand at 7:38? (in degrees) =
  7. 7.How many degrees does the hour hand of a clock turn in 90 minutes? =
  8. 8.What is the smaller angle between the hour hand and the minute hand at 9:48? (in degrees) =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 4:21? (in degrees) =
  10. 10.What is the smaller angle between the hour hand and the minute hand at 9:18? (in degrees) =
  11. 11.How many degrees does the minute hand of a clock turn in 35 minutes? =
  12. 12.What is the smaller angle between the hour hand and the minute hand at 1:01? (in degrees) =
  13. 13.A clock shows 6:03. What time will it show 124 minutes later? (a) 9:07 (b) 7:57 (c) 8:17 (d) 8:07
  14. 14.What is the smaller angle between the hour hand and the minute hand at 2:29? (in degrees) =
  15. 15.What is the smaller angle between the hour hand and the minute hand at 4:31? (in degrees) =
  16. 16.How many degrees does the hour hand of a clock turn in 152 minutes? =
  17. 17.What is the smaller angle between the hour hand and the minute hand at 7:30? (in degrees) =
  18. 18.A clock shows 9:34. What time will it show 43 minutes later? (a) 10:27 (b) 11:17 (c) 10:17 (d) 10:07
  19. 19.A clock shows 1:02. What time will it show 136 minutes later? (a) 3:28 (b) 4:18 (c) 3:08 (d) 3:18
  20. 20.What is the smaller angle between the hour hand and the minute hand at 6:59? (in degrees) =
  21. 21.A clock shows 12:06. What time will it show 51 minutes later? (a) 1:57 (b) 1:07 (c) 12:47 (d) 12:57
  22. 22.How many degrees does the minute hand of a clock turn in 3 minutes? =
  23. 23.How many degrees does the hour hand of a clock turn in 82 minutes? =
  24. 24.How many degrees does the hour hand of a clock turn in 30 minutes? =
  25. 25.How many degrees does the minute hand of a clock turn in 56 minutes? =
  26. 26.A clock shows 8:10. What time will it show 98 minutes later? (a) 9:58 (b) 9:38 (c) 9:48 (d) 10:48
  27. 27.What is the smaller angle between the hour hand and the minute hand at 3:18? (in degrees) =
  28. 28.How many degrees does the minute hand of a clock turn in 20 minutes? =
  29. 29.How many degrees does the hour hand of a clock turn in 52 minutes? =
  30. 30.What is the smaller angle between the hour hand and the minute hand at 7:04? (in degrees) =
  31. 31.How many degrees does the minute hand of a clock turn in 46 minutes? =
  32. 32.How many degrees does the minute hand of a clock turn in 14 minutes? =
  33. 33.A clock shows 12:19. What time will it show 148 minutes later? (a) 2:37 (b) 2:57 (c) 3:47 (d) 2:47
  34. 34.A clock shows 1:02. What time will it show 154 minutes later? (a) 3:46 (b) 3:26 (c) 3:36 (d) 4:36
  35. 35.A clock shows 5:34. What time will it show 29 minutes later? (a) 7:03 (b) 6:03 (c) 6:13 (d) 5:53
  36. 36.What is the smaller angle between the hour hand and the minute hand at 2:17? (in degrees) =
  37. 37.What is the smaller angle between the hour hand and the minute hand at 5:18? (in degrees) =
  38. 38.How many degrees does the minute hand of a clock turn in 57 minutes? =
  39. 39.How many degrees does the minute hand of a clock turn in 6 minutes? =
  40. 40.How many degrees does the hour hand of a clock turn in 134 minutes? =

Answer key

  1. 216
  2. 65
  3. 96
  4. 52.5
  5. 4:42
  6. 1
  7. 45
  8. 6
  9. 4.5
  10. 171
  11. 210
  12. 24.5
  13. 8:07
  14. 99.5
  15. 50.5
  16. 76
  17. 45
  18. 10:17
  19. 3:18
  20. 144.5
  21. 12:57
  22. 18
  23. 41
  24. 15
  25. 336
  26. 9:48
  27. 9
  28. 120
  29. 26
  30. 172
  31. 276
  32. 84
  33. 2:47
  34. 3:36
  35. 6:03
  36. 33.5
  37. 51
  38. 342
  39. 36
  40. 67

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