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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 106 · 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 5:58. What time will it show 64 minutes later? (a) 7:12 (b) 6:52 (c) 8:02 (d) 7:02
  2. 2.A clock shows 8:10. What time will it show 46 minutes later? (a) 9:06 (b) 9:56 (c) 8:46 (d) 8:56
  3. 3.A clock shows 9:11. What time will it show 44 minutes later? (a) 9:55 (b) 10:55 (c) 9:45 (d) 10:05
  4. 4.How many degrees does the minute hand of a clock turn in 57 minutes? =
  5. 5.How many degrees does the minute hand of a clock turn in 45 minutes? =
  6. 6.A clock shows 11:46. What time will it show 67 minutes later? (a) 1:53 (b) 12:43 (c) 12:53 (d) 1:03
  7. 7.What is the smaller angle between the hour hand and the minute hand at 3:54? (in degrees) =
  8. 8.A clock shows 12:08. What time will it show 98 minutes later? (a) 1:46 (b) 1:36 (c) 2:46 (d) 1:56
  9. 9.How many degrees does the hour hand of a clock turn in 55 minutes? =
  10. 10.What is the smaller angle between the hour hand and the minute hand at 8:00? (in degrees) =
  11. 11.What is the smaller angle between the hour hand and the minute hand at 4:02? (in degrees) =
  12. 12.How many degrees does the minute hand of a clock turn in 19 minutes? =
  13. 13.What is the smaller angle between the hour hand and the minute hand at 8:25? (in degrees) =
  14. 14.What is the smaller angle between the hour hand and the minute hand at 6:53? (in degrees) =
  15. 15.How many degrees does the hour hand of a clock turn in 47 minutes? =
  16. 16.A clock shows 9:49. What time will it show 73 minutes later? (a) 11:12 (b) 11:02 (c) 10:52 (d) 12:02
  17. 17.What is the smaller angle between the hour hand and the minute hand at 4:10? (in degrees) =
  18. 18.What is the smaller angle between the hour hand and the minute hand at 2:09? (in degrees) =
  19. 19.A clock shows 2:55. What time will it show 91 minutes later? (a) 4:16 (b) 4:36 (c) 5:26 (d) 4:26
  20. 20.A clock shows 5:16. What time will it show 60 minutes later? (a) 6:16 (b) 6:26 (c) 7:16 (d) 6:06
  21. 21.A clock shows 7:24. What time will it show 105 minutes later? (a) 9:19 (b) 10:09 (c) 9:09 (d) 8:59
  22. 22.What is the smaller angle between the hour hand and the minute hand at 11:20? (in degrees) =
  23. 23.A clock shows 2:19. What time will it show 150 minutes later? (a) 4:49 (b) 4:39 (c) 5:49 (d) 4:59
  24. 24.How many degrees does the minute hand of a clock turn in 23 minutes? =
  25. 25.What is the smaller angle between the hour hand and the minute hand at 10:09? (in degrees) =
  26. 26.What is the smaller angle between the hour hand and the minute hand at 3:39? (in degrees) =
  27. 27.How many degrees does the minute hand of a clock turn in 9 minutes? =
  28. 28.How many degrees does the minute hand of a clock turn in 17 minutes? =
  29. 29.A clock shows 2:47. What time will it show 15 minutes later? (a) 3:12 (b) 2:52 (c) 4:02 (d) 3:02
  30. 30.A clock shows 12:57. What time will it show 65 minutes later? (a) 2:02 (b) 1:52 (c) 2:12 (d) 3:02
  31. 31.What is the smaller angle between the hour hand and the minute hand at 3:33? (in degrees) =
  32. 32.A clock shows 12:05. What time will it show 61 minutes later? (a) 2:06 (b) 1:16 (c) 1:06 (d) 12:56
  33. 33.A clock shows 5:43. What time will it show 122 minutes later? (a) 7:35 (b) 8:45 (c) 7:45 (d) 7:55
  34. 34.How many degrees does the minute hand of a clock turn in 31 minutes? =
  35. 35.A clock shows 2:50. What time will it show 103 minutes later? (a) 4:23 (b) 5:33 (c) 4:33 (d) 4:43
  36. 36.A clock shows 3:12. What time will it show 84 minutes later? (a) 4:46 (b) 4:26 (c) 4:36 (d) 5:36
  37. 37.How many degrees does the minute hand of a clock turn in 38 minutes? =
  38. 38.A clock shows 3:46. What time will it show 57 minutes later? (a) 4:53 (b) 4:43 (c) 5:43 (d) 4:33
  39. 39.What is the smaller angle between the hour hand and the minute hand at 9:33? (in degrees) =
  40. 40.How many degrees does the hour hand of a clock turn in 16 minutes? =

Answer key

  1. 7:02
  2. 8:56
  3. 9:55
  4. 342
  5. 270
  6. 12:53
  7. 153
  8. 1:46
  9. 27.5
  10. 120
  11. 109
  12. 114
  13. 102.5
  14. 111.5
  15. 23.5
  16. 11:02
  17. 65
  18. 10.5
  19. 4:26
  20. 6:16
  21. 9:09
  22. 140
  23. 4:49
  24. 138
  25. 109.5
  26. 124.5
  27. 54
  28. 102
  29. 3:02
  30. 2:02
  31. 91.5
  32. 1:06
  33. 7:45
  34. 186
  35. 4:33
  36. 4:36
  37. 228
  38. 4:43
  39. 88.5
  40. 8

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