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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 627 · 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 4:41. What time will it show 36 minutes later? (a) 5:07 (b) 5:17 (c) 5:27 (d) 6:17
  2. 2.A clock shows 2:35. What time will it show 44 minutes later? (a) 3:29 (b) 3:09 (c) 4:19 (d) 3:19
  3. 3.How many degrees does the minute hand of a clock turn in 6 minutes? =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 2:23? (in degrees) =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 8:43? (in degrees) =
  6. 6.What is the smaller angle between the hour hand and the minute hand at 12:20? (in degrees) =
  7. 7.How many degrees does the minute hand of a clock turn in 35 minutes? =
  8. 8.How many degrees does the hour hand of a clock turn in 174 minutes? =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 8:59? (in degrees) =
  10. 10.How many degrees does the hour hand of a clock turn in 10 minutes? =
  11. 11.What is the smaller angle between the hour hand and the minute hand at 3:12? (in degrees) =
  12. 12.A clock shows 4:14. What time will it show 116 minutes later? (a) 6:00 (b) 7:10 (c) 6:10 (d) 6:20
  13. 13.How many degrees does the minute hand of a clock turn in 15 minutes? =
  14. 14.A clock shows 2:42. What time will it show 152 minutes later? (a) 5:14 (b) 6:14 (c) 5:04 (d) 5:24
  15. 15.A clock shows 1:19. What time will it show 104 minutes later? (a) 3:03 (b) 4:03 (c) 2:53 (d) 3:13
  16. 16.How many degrees does the hour hand of a clock turn in 129 minutes? =
  17. 17.A clock shows 1:28. What time will it show 34 minutes later? (a) 2:12 (b) 1:52 (c) 2:02 (d) 3:02
  18. 18.What is the smaller angle between the hour hand and the minute hand at 7:20? (in degrees) =
  19. 19.What is the smaller angle between the hour hand and the minute hand at 3:07? (in degrees) =
  20. 20.What is the smaller angle between the hour hand and the minute hand at 2:02? (in degrees) =
  21. 21.How many degrees does the hour hand of a clock turn in 44 minutes? =
  22. 22.What is the smaller angle between the hour hand and the minute hand at 5:00? (in degrees) =
  23. 23.A clock shows 1:39. What time will it show 35 minutes later? (a) 2:24 (b) 3:14 (c) 2:04 (d) 2:14
  24. 24.A clock shows 5:13. What time will it show 79 minutes later? (a) 7:32 (b) 6:22 (c) 6:42 (d) 6:32
  25. 25.A clock shows 2:27. What time will it show 55 minutes later? (a) 3:32 (b) 4:22 (c) 3:22 (d) 3:12
  26. 26.How many degrees does the minute hand of a clock turn in 50 minutes? =
  27. 27.A clock shows 1:59. What time will it show 68 minutes later? (a) 3:07 (b) 3:17 (c) 2:57 (d) 4:07
  28. 28.A clock shows 9:54. What time will it show 122 minutes later? (a) 12:06 (b) 11:56 (c) 11:46 (d) 12:56
  29. 29.How many degrees does the hour hand of a clock turn in 58 minutes? =
  30. 30.How many degrees does the hour hand of a clock turn in 178 minutes? =
  31. 31.A clock shows 4:31. What time will it show 66 minutes later? (a) 5:47 (b) 5:27 (c) 6:37 (d) 5:37
  32. 32.How many degrees does the hour hand of a clock turn in 22 minutes? =
  33. 33.What is the smaller angle between the hour hand and the minute hand at 4:07? (in degrees) =
  34. 34.What is the smaller angle between the hour hand and the minute hand at 3:50? (in degrees) =
  35. 35.How many degrees does the hour hand of a clock turn in 73 minutes? =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 5:22? (in degrees) =
  37. 37.How many degrees does the hour hand of a clock turn in 109 minutes? =
  38. 38.A clock shows 5:53. What time will it show 10 minutes later? (a) 6:13 (b) 6:03 (c) 5:53 (d) 7:03
  39. 39.What is the smaller angle between the hour hand and the minute hand at 3:23? (in degrees) =
  40. 40.What is the smaller angle between the hour hand and the minute hand at 10:11? (in degrees) =

Answer key

  1. 5:17
  2. 3:19
  3. 36
  4. 66.5
  5. 3.5
  6. 110
  7. 210
  8. 87
  9. 84.5
  10. 5
  11. 24
  12. 6:10
  13. 90
  14. 5:14
  15. 3:03
  16. 64.5
  17. 2:02
  18. 100
  19. 51.5
  20. 49
  21. 22
  22. 150
  23. 2:14
  24. 6:32
  25. 3:22
  26. 300
  27. 3:07
  28. 11:56
  29. 29
  30. 89
  31. 5:37
  32. 11
  33. 81.5
  34. 175
  35. 36.5
  36. 29
  37. 54.5
  38. 6:03
  39. 36.5
  40. 120.5

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