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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 491 · 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 12:59? (in degrees) =
  2. 2.A clock shows 3:13. What time will it show 32 minutes later? (a) 3:45 (b) 3:35 (c) 4:45 (d) 3:55
  3. 3.What is the smaller angle between the hour hand and the minute hand at 8:20? (in degrees) =
  4. 4.A clock shows 8:23. What time will it show 87 minutes later? (a) 9:50 (b) 10:50 (c) 10:00 (d) 9:40
  5. 5.A clock shows 1:25. What time will it show 135 minutes later? (a) 3:50 (b) 3:40 (c) 4:40 (d) 3:30
  6. 6.How many degrees does the hour hand of a clock turn in 136 minutes? =
  7. 7.What is the smaller angle between the hour hand and the minute hand at 10:55? (in degrees) =
  8. 8.What is the smaller angle between the hour hand and the minute hand at 4:10? (in degrees) =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 7:47? (in degrees) =
  10. 10.How many degrees does the minute hand of a clock turn in 2 minutes? =
  11. 11.How many degrees does the hour hand of a clock turn in 96 minutes? =
  12. 12.A clock shows 4:22. What time will it show 131 minutes later? (a) 6:33 (b) 6:43 (c) 6:23 (d) 7:33
  13. 13.A clock shows 11:56. What time will it show 40 minutes later? (a) 1:36 (b) 12:26 (c) 12:46 (d) 12:36
  14. 14.What is the smaller angle between the hour hand and the minute hand at 1:09? (in degrees) =
  15. 15.How many degrees does the minute hand of a clock turn in 55 minutes? =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 7:18? (in degrees) =
  17. 17.What is the smaller angle between the hour hand and the minute hand at 7:09? (in degrees) =
  18. 18.A clock shows 8:05. What time will it show 14 minutes later? (a) 9:19 (b) 8:09 (c) 8:19 (d) 8:29
  19. 19.What is the smaller angle between the hour hand and the minute hand at 8:01? (in degrees) =
  20. 20.What is the smaller angle between the hour hand and the minute hand at 11:29? (in degrees) =
  21. 21.What is the smaller angle between the hour hand and the minute hand at 5:15? (in degrees) =
  22. 22.What is the smaller angle between the hour hand and the minute hand at 3:45? (in degrees) =
  23. 23.How many degrees does the hour hand of a clock turn in 69 minutes? =
  24. 24.A clock shows 9:19. What time will it show 84 minutes later? (a) 11:43 (b) 10:33 (c) 10:53 (d) 10:43
  25. 25.What is the smaller angle between the hour hand and the minute hand at 1:13? (in degrees) =
  26. 26.What is the smaller angle between the hour hand and the minute hand at 8:34? (in degrees) =
  27. 27.How many degrees does the minute hand of a clock turn in 4 minutes? =
  28. 28.What is the smaller angle between the hour hand and the minute hand at 1:11? (in degrees) =
  29. 29.A clock shows 11:30. What time will it show 26 minutes later? (a) 11:56 (b) 11:46 (c) 12:56 (d) 12:06
  30. 30.What is the smaller angle between the hour hand and the minute hand at 2:17? (in degrees) =
  31. 31.What is the smaller angle between the hour hand and the minute hand at 4:56? (in degrees) =
  32. 32.What is the smaller angle between the hour hand and the minute hand at 10:23? (in degrees) =
  33. 33.What is the smaller angle between the hour hand and the minute hand at 1:00? (in degrees) =
  34. 34.What is the smaller angle between the hour hand and the minute hand at 4:17? (in degrees) =
  35. 35.What is the smaller angle between the hour hand and the minute hand at 8:05? (in degrees) =
  36. 36.A clock shows 11:27. What time will it show 110 minutes later? (a) 1:07 (b) 2:17 (c) 1:27 (d) 1:17
  37. 37.What is the smaller angle between the hour hand and the minute hand at 7:26? (in degrees) =
  38. 38.What is the smaller angle between the hour hand and the minute hand at 6:24? (in degrees) =
  39. 39.A clock shows 10:22. What time will it show 89 minutes later? (a) 11:41 (b) 11:51 (c) 12:51 (d) 12:01
  40. 40.What is the smaller angle between the hour hand and the minute hand at 5:20? (in degrees) =

Answer key

  1. 35.5
  2. 3:45
  3. 130
  4. 9:50
  5. 3:40
  6. 68
  7. 2.5
  8. 65
  9. 48.5
  10. 12
  11. 48
  12. 6:33
  13. 12:36
  14. 19.5
  15. 330
  16. 111
  17. 160.5
  18. 8:19
  19. 125.5
  20. 170.5
  21. 67.5
  22. 157.5
  23. 34.5
  24. 10:43
  25. 41.5
  26. 53
  27. 24
  28. 30.5
  29. 11:56
  30. 33.5
  31. 172
  32. 173.5
  33. 30
  34. 26.5
  35. 147.5
  36. 1:17
  37. 67
  38. 48
  39. 11:51
  40. 40

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