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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 591 · 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 124 minutes? =
  2. 2.What is the smaller angle between the hour hand and the minute hand at 12:15? (in degrees) =
  3. 3.What is the smaller angle between the hour hand and the minute hand at 5:24? (in degrees) =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 4:04? (in degrees) =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 4:22? (in degrees) =
  6. 6.A clock shows 6:14. What time will it show 85 minutes later? (a) 7:29 (b) 8:39 (c) 7:39 (d) 7:49
  7. 7.How many degrees does the hour hand of a clock turn in 107 minutes? =
  8. 8.A clock shows 3:35. What time will it show 143 minutes later? (a) 5:48 (b) 6:08 (c) 5:58 (d) 6:58
  9. 9.A clock shows 9:28. What time will it show 106 minutes later? (a) 11:24 (b) 12:14 (c) 11:04 (d) 11:14
  10. 10.A clock shows 3:34. What time will it show 144 minutes later? (a) 6:58 (b) 5:48 (c) 5:58 (d) 6:08
  11. 11.How many degrees does the minute hand of a clock turn in 42 minutes? =
  12. 12.What is the smaller angle between the hour hand and the minute hand at 3:17? (in degrees) =
  13. 13.How many degrees does the minute hand of a clock turn in 20 minutes? =
  14. 14.What is the smaller angle between the hour hand and the minute hand at 2:18? (in degrees) =
  15. 15.What is the smaller angle between the hour hand and the minute hand at 1:24? (in degrees) =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 3:01? (in degrees) =
  17. 17.A clock shows 1:45. What time will it show 99 minutes later? (a) 4:24 (b) 3:34 (c) 3:14 (d) 3:24
  18. 18.What is the smaller angle between the hour hand and the minute hand at 9:32? (in degrees) =
  19. 19.A clock shows 2:02. What time will it show 44 minutes later? (a) 2:46 (b) 2:36 (c) 2:56 (d) 3:46
  20. 20.How many degrees does the hour hand of a clock turn in 19 minutes? =
  21. 21.How many degrees does the minute hand of a clock turn in 3 minutes? =
  22. 22.What is the smaller angle between the hour hand and the minute hand at 10:54? (in degrees) =
  23. 23.How many degrees does the hour hand of a clock turn in 60 minutes? =
  24. 24.How many degrees does the hour hand of a clock turn in 109 minutes? =
  25. 25.A clock shows 12:22. What time will it show 24 minutes later? (a) 12:36 (b) 12:56 (c) 12:46 (d) 1:46
  26. 26.A clock shows 1:16. What time will it show 83 minutes later? (a) 2:29 (b) 2:49 (c) 3:39 (d) 2:39
  27. 27.A clock shows 3:59. What time will it show 60 minutes later? (a) 5:59 (b) 5:09 (c) 4:49 (d) 4:59
  28. 28.What is the smaller angle between the hour hand and the minute hand at 7:16? (in degrees) =
  29. 29.How many degrees does the minute hand of a clock turn in 9 minutes? =
  30. 30.A clock shows 6:09. What time will it show 16 minutes later? (a) 6:35 (b) 6:15 (c) 6:25 (d) 7:25
  31. 31.What is the smaller angle between the hour hand and the minute hand at 5:33? (in degrees) =
  32. 32.How many degrees does the minute hand of a clock turn in 58 minutes? =
  33. 33.What is the smaller angle between the hour hand and the minute hand at 8:18? (in degrees) =
  34. 34.How many degrees does the minute hand of a clock turn in 45 minutes? =
  35. 35.A clock shows 1:38. What time will it show 62 minutes later? (a) 2:30 (b) 2:50 (c) 2:40 (d) 3:40
  36. 36.How many degrees does the minute hand of a clock turn in 26 minutes? =
  37. 37.How many degrees does the minute hand of a clock turn in 19 minutes? =
  38. 38.How many degrees does the minute hand of a clock turn in 47 minutes? =
  39. 39.What is the smaller angle between the hour hand and the minute hand at 2:50? (in degrees) =
  40. 40.How many degrees does the minute hand of a clock turn in 38 minutes? =

Answer key

  1. 62
  2. 82.5
  3. 18
  4. 98
  5. 1
  6. 7:39
  7. 53.5
  8. 5:58
  9. 11:14
  10. 5:58
  11. 252
  12. 3.5
  13. 120
  14. 39
  15. 102
  16. 84.5
  17. 3:24
  18. 94
  19. 2:46
  20. 9.5
  21. 18
  22. 3
  23. 30
  24. 54.5
  25. 12:46
  26. 2:39
  27. 4:59
  28. 122
  29. 54
  30. 6:25
  31. 31.5
  32. 348
  33. 141
  34. 270
  35. 2:40
  36. 156
  37. 114
  38. 282
  39. 145
  40. 228

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