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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 990 · 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 30 minutes? =
  2. 2.What is the smaller angle between the hour hand and the minute hand at 5:14? (in degrees) =
  3. 3.What is the smaller angle between the hour hand and the minute hand at 10:51? (in degrees) =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 7:50? (in degrees) =
  5. 5.A clock shows 2:59. What time will it show 124 minutes later? (a) 4:53 (b) 5:03 (c) 5:13 (d) 6:03
  6. 6.A clock shows 5:56. What time will it show 55 minutes later? (a) 6:51 (b) 7:01 (c) 6:41 (d) 7:51
  7. 7.What is the smaller angle between the hour hand and the minute hand at 3:17? (in degrees) =
  8. 8.What is the smaller angle between the hour hand and the minute hand at 5:43? (in degrees) =
  9. 9.A clock shows 5:04. What time will it show 90 minutes later? (a) 6:24 (b) 6:44 (c) 7:34 (d) 6:34
  10. 10.What is the smaller angle between the hour hand and the minute hand at 7:47? (in degrees) =
  11. 11.A clock shows 1:16. What time will it show 80 minutes later? (a) 2:46 (b) 2:36 (c) 3:36 (d) 2:26
  12. 12.A clock shows 7:49. What time will it show 124 minutes later? (a) 10:03 (b) 9:43 (c) 9:53 (d) 10:53
  13. 13.A clock shows 2:01. What time will it show 73 minutes later? (a) 4:14 (b) 3:04 (c) 3:14 (d) 3:24
  14. 14.What is the smaller angle between the hour hand and the minute hand at 4:31? (in degrees) =
  15. 15.What is the smaller angle between the hour hand and the minute hand at 12:01? (in degrees) =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 5:24? (in degrees) =
  17. 17.What is the smaller angle between the hour hand and the minute hand at 6:21? (in degrees) =
  18. 18.A clock shows 2:20. What time will it show 91 minutes later? (a) 4:01 (b) 3:41 (c) 3:51 (d) 4:51
  19. 19.How many degrees does the minute hand of a clock turn in 35 minutes? =
  20. 20.How many degrees does the hour hand of a clock turn in 171 minutes? =
  21. 21.What is the smaller angle between the hour hand and the minute hand at 10:54? (in degrees) =
  22. 22.A clock shows 11:48. What time will it show 84 minutes later? (a) 1:22 (b) 1:02 (c) 2:12 (d) 1:12
  23. 23.How many degrees does the minute hand of a clock turn in 30 minutes? =
  24. 24.How many degrees does the minute hand of a clock turn in 6 minutes? =
  25. 25.What is the smaller angle between the hour hand and the minute hand at 12:06? (in degrees) =
  26. 26.What is the smaller angle between the hour hand and the minute hand at 9:49? (in degrees) =
  27. 27.What is the smaller angle between the hour hand and the minute hand at 1:03? (in degrees) =
  28. 28.What is the smaller angle between the hour hand and the minute hand at 2:02? (in degrees) =
  29. 29.How many degrees does the minute hand of a clock turn in 26 minutes? =
  30. 30.A clock shows 11:51. What time will it show 76 minutes later? (a) 1:07 (b) 2:07 (c) 1:17 (d) 12:57
  31. 31.What is the smaller angle between the hour hand and the minute hand at 12:30? (in degrees) =
  32. 32.A clock shows 3:14. What time will it show 33 minutes later? (a) 3:47 (b) 3:37 (c) 4:47 (d) 3:57
  33. 33.How many degrees does the hour hand of a clock turn in 73 minutes? =
  34. 34.How many degrees does the minute hand of a clock turn in 54 minutes? =
  35. 35.What is the smaller angle between the hour hand and the minute hand at 3:51? (in degrees) =
  36. 36.A clock shows 9:21. What time will it show 19 minutes later? (a) 9:50 (b) 10:40 (c) 9:40 (d) 9:30
  37. 37.How many degrees does the hour hand of a clock turn in 97 minutes? =
  38. 38.A clock shows 12:41. What time will it show 43 minutes later? (a) 1:34 (b) 2:24 (c) 1:24 (d) 1:14
  39. 39.How many degrees does the hour hand of a clock turn in 33 minutes? =
  40. 40.What is the smaller angle between the hour hand and the minute hand at 8:07? (in degrees) =

Answer key

  1. 15
  2. 73
  3. 19.5
  4. 65
  5. 5:03
  6. 6:51
  7. 3.5
  8. 86.5
  9. 6:34
  10. 48.5
  11. 2:36
  12. 9:53
  13. 3:14
  14. 50.5
  15. 5.5
  16. 18
  17. 64.5
  18. 3:51
  19. 210
  20. 85.5
  21. 3
  22. 1:12
  23. 180
  24. 36
  25. 33
  26. 0.5
  27. 13.5
  28. 49
  29. 156
  30. 1:07
  31. 165
  32. 3:47
  33. 36.5
  34. 324
  35. 169.5
  36. 9:40
  37. 48.5
  38. 1:24
  39. 16.5
  40. 158.5

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