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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 341 · 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 4:16? (in degrees) =
  2. 2.A clock shows 9:29. What time will it show 32 minutes later? (a) 10:01 (b) 9:51 (c) 11:01 (d) 10:11
  3. 3.What is the smaller angle between the hour hand and the minute hand at 9:41? (in degrees) =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 5:07? (in degrees) =
  5. 5.A clock shows 6:55. What time will it show 133 minutes later? (a) 9:08 (b) 8:58 (c) 9:18 (d) 10:08
  6. 6.What is the smaller angle between the hour hand and the minute hand at 10:53? (in degrees) =
  7. 7.A clock shows 4:19. What time will it show 51 minutes later? (a) 6:10 (b) 5:00 (c) 5:20 (d) 5:10
  8. 8.A clock shows 10:43. What time will it show 158 minutes later? (a) 1:31 (b) 1:21 (c) 1:11 (d) 2:21
  9. 9.A clock shows 10:42. What time will it show 86 minutes later? (a) 1:08 (b) 12:08 (c) 12:18 (d) 11:58
  10. 10.A clock shows 2:47. What time will it show 76 minutes later? (a) 4:03 (b) 5:03 (c) 3:53 (d) 4:13
  11. 11.What is the smaller angle between the hour hand and the minute hand at 3:05? (in degrees) =
  12. 12.What is the smaller angle between the hour hand and the minute hand at 10:22? (in degrees) =
  13. 13.What is the smaller angle between the hour hand and the minute hand at 11:45? (in degrees) =
  14. 14.A clock shows 3:09. What time will it show 81 minutes later? (a) 5:30 (b) 4:20 (c) 4:40 (d) 4:30
  15. 15.What is the smaller angle between the hour hand and the minute hand at 11:52? (in degrees) =
  16. 16.How many degrees does the hour hand of a clock turn in 159 minutes? =
  17. 17.How many degrees does the minute hand of a clock turn in 5 minutes? =
  18. 18.What is the smaller angle between the hour hand and the minute hand at 4:26? (in degrees) =
  19. 19.How many degrees does the hour hand of a clock turn in 130 minutes? =
  20. 20.How many degrees does the hour hand of a clock turn in 163 minutes? =
  21. 21.What is the smaller angle between the hour hand and the minute hand at 2:20? (in degrees) =
  22. 22.What is the smaller angle between the hour hand and the minute hand at 3:18? (in degrees) =
  23. 23.A clock shows 5:56. What time will it show 56 minutes later? (a) 7:52 (b) 6:52 (c) 6:42 (d) 7:02
  24. 24.How many degrees does the minute hand of a clock turn in 7 minutes? =
  25. 25.A clock shows 2:45. What time will it show 30 minutes later? (a) 3:15 (b) 3:25 (c) 4:15 (d) 3:05
  26. 26.What is the smaller angle between the hour hand and the minute hand at 8:43? (in degrees) =
  27. 27.What is the smaller angle between the hour hand and the minute hand at 9:52? (in degrees) =
  28. 28.What is the smaller angle between the hour hand and the minute hand at 2:17? (in degrees) =
  29. 29.A clock shows 10:27. What time will it show 93 minutes later? (a) 12:00 (b) 11:50 (c) 1:00 (d) 12:10
  30. 30.A clock shows 6:31. What time will it show 71 minutes later? (a) 8:42 (b) 7:52 (c) 7:32 (d) 7:42
  31. 31.What is the smaller angle between the hour hand and the minute hand at 2:03? (in degrees) =
  32. 32.What is the smaller angle between the hour hand and the minute hand at 12:49? (in degrees) =
  33. 33.What is the smaller angle between the hour hand and the minute hand at 4:47? (in degrees) =
  34. 34.How many degrees does the hour hand of a clock turn in 165 minutes? =
  35. 35.How many degrees does the minute hand of a clock turn in 47 minutes? =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 7:17? (in degrees) =
  37. 37.How many degrees does the minute hand of a clock turn in 30 minutes? =
  38. 38.What is the smaller angle between the hour hand and the minute hand at 9:43? (in degrees) =
  39. 39.What is the smaller angle between the hour hand and the minute hand at 1:12? (in degrees) =
  40. 40.What is the smaller angle between the hour hand and the minute hand at 3:39? (in degrees) =

Answer key

  1. 32
  2. 10:01
  3. 44.5
  4. 111.5
  5. 9:08
  6. 8.5
  7. 5:10
  8. 1:21
  9. 12:08
  10. 4:03
  11. 62.5
  12. 179
  13. 82.5
  14. 4:30
  15. 44
  16. 79.5
  17. 30
  18. 23
  19. 65
  20. 81.5
  21. 50
  22. 9
  23. 6:52
  24. 42
  25. 3:15
  26. 3.5
  27. 16
  28. 33.5
  29. 12:00
  30. 7:42
  31. 43.5
  32. 90.5
  33. 138.5
  34. 82.5
  35. 282
  36. 116.5
  37. 180
  38. 33.5
  39. 36
  40. 124.5

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