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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 62 · 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.What is the smaller angle between the hour hand and the minute hand at 3:27? (in degrees) =
  2. 2.How many degrees does the minute hand of a clock turn in 56 minutes? =
  3. 3.How many degrees does the minute hand of a clock turn in 22 minutes? =
  4. 4.A clock shows 4:06. What time will it show 52 minutes later? (a) 5:08 (b) 4:48 (c) 4:58 (d) 5:58
  5. 5.What is the smaller angle between the hour hand and the minute hand at 4:31? (in degrees) =
  6. 6.How many degrees does the hour hand of a clock turn in 57 minutes? =
  7. 7.How many degrees does the minute hand of a clock turn in 52 minutes? =
  8. 8.A clock shows 11:42. What time will it show 93 minutes later? (a) 1:05 (b) 2:15 (c) 1:15 (d) 1:25
  9. 9.How many degrees does the hour hand of a clock turn in 173 minutes? =
  10. 10.What is the smaller angle between the hour hand and the minute hand at 3:53? (in degrees) =
  11. 11.How many degrees does the minute hand of a clock turn in 38 minutes? =
  12. 12.What is the smaller angle between the hour hand and the minute hand at 12:12? (in degrees) =
  13. 13.A clock shows 2:05. What time will it show 136 minutes later? (a) 4:11 (b) 4:31 (c) 5:21 (d) 4:21
  14. 14.What is the smaller angle between the hour hand and the minute hand at 1:05? (in degrees) =
  15. 15.What is the smaller angle between the hour hand and the minute hand at 9:58? (in degrees) =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 8:47? (in degrees) =
  17. 17.A clock shows 7:33. What time will it show 76 minutes later? (a) 8:59 (b) 9:49 (c) 8:39 (d) 8:49
  18. 18.A clock shows 2:03. What time will it show 71 minutes later? (a) 3:04 (b) 3:24 (c) 4:14 (d) 3:14
  19. 19.What is the smaller angle between the hour hand and the minute hand at 3:06? (in degrees) =
  20. 20.What is the smaller angle between the hour hand and the minute hand at 2:38? (in degrees) =
  21. 21.What is the smaller angle between the hour hand and the minute hand at 1:25? (in degrees) =
  22. 22.How many degrees does the hour hand of a clock turn in 42 minutes? =
  23. 23.What is the smaller angle between the hour hand and the minute hand at 1:12? (in degrees) =
  24. 24.How many degrees does the hour hand of a clock turn in 145 minutes? =
  25. 25.How many degrees does the minute hand of a clock turn in 40 minutes? =
  26. 26.What is the smaller angle between the hour hand and the minute hand at 6:38? (in degrees) =
  27. 27.What is the smaller angle between the hour hand and the minute hand at 4:17? (in degrees) =
  28. 28.What is the smaller angle between the hour hand and the minute hand at 3:02? (in degrees) =
  29. 29.How many degrees does the hour hand of a clock turn in 28 minutes? =
  30. 30.How many degrees does the minute hand of a clock turn in 36 minutes? =
  31. 31.What is the smaller angle between the hour hand and the minute hand at 4:07? (in degrees) =
  32. 32.How many degrees does the hour hand of a clock turn in 179 minutes? =
  33. 33.What is the smaller angle between the hour hand and the minute hand at 2:00? (in degrees) =
  34. 34.How many degrees does the hour hand of a clock turn in 94 minutes? =
  35. 35.What is the smaller angle between the hour hand and the minute hand at 5:56? (in degrees) =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 5:58? (in degrees) =
  37. 37.What is the smaller angle between the hour hand and the minute hand at 3:43? (in degrees) =
  38. 38.How many degrees does the hour hand of a clock turn in 11 minutes? =
  39. 39.How many degrees does the minute hand of a clock turn in 37 minutes? =
  40. 40.How many degrees does the minute hand of a clock turn in 23 minutes? =

Answer key

  1. 58.5
  2. 336
  3. 132
  4. 4:58
  5. 50.5
  6. 28.5
  7. 312
  8. 1:15
  9. 86.5
  10. 158.5
  11. 228
  12. 66
  13. 4:21
  14. 2.5
  15. 49
  16. 18.5
  17. 8:49
  18. 3:14
  19. 57
  20. 149
  21. 107.5
  22. 21
  23. 36
  24. 72.5
  25. 240
  26. 29
  27. 26.5
  28. 79
  29. 14
  30. 216
  31. 81.5
  32. 89.5
  33. 60
  34. 47
  35. 158
  36. 169
  37. 146.5
  38. 5.5
  39. 222
  40. 138

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