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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 126 · 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 2:20. What time will it show 49 minutes later? (a) 4:09 (b) 3:09 (c) 2:59 (d) 3:19
  2. 2.How many degrees does the hour hand of a clock turn in 169 minutes? =
  3. 3.A clock shows 2:44. What time will it show 11 minutes later? (a) 2:45 (b) 2:55 (c) 3:05 (d) 3:55
  4. 4.How many degrees does the minute hand of a clock turn in 15 minutes? =
  5. 5.A clock shows 10:08. What time will it show 47 minutes later? (a) 11:05 (b) 11:55 (c) 10:55 (d) 10:45
  6. 6.What is the smaller angle between the hour hand and the minute hand at 5:33? (in degrees) =
  7. 7.A clock shows 3:13. What time will it show 79 minutes later? (a) 5:32 (b) 4:22 (c) 4:42 (d) 4:32
  8. 8.What is the smaller angle between the hour hand and the minute hand at 3:37? (in degrees) =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 3:04? (in degrees) =
  10. 10.What is the smaller angle between the hour hand and the minute hand at 5:13? (in degrees) =
  11. 11.A clock shows 6:21. What time will it show 57 minutes later? (a) 7:18 (b) 7:08 (c) 8:18 (d) 7:28
  12. 12.How many degrees does the hour hand of a clock turn in 38 minutes? =
  13. 13.What is the smaller angle between the hour hand and the minute hand at 8:57? (in degrees) =
  14. 14.How many degrees does the minute hand of a clock turn in 7 minutes? =
  15. 15.How many degrees does the hour hand of a clock turn in 180 minutes? =
  16. 16.How many degrees does the hour hand of a clock turn in 99 minutes? =
  17. 17.A clock shows 2:26. What time will it show 76 minutes later? (a) 3:32 (b) 4:42 (c) 3:42 (d) 3:52
  18. 18.A clock shows 8:27. What time will it show 56 minutes later? (a) 9:33 (b) 9:13 (c) 10:23 (d) 9:23
  19. 19.A clock shows 4:41. What time will it show 156 minutes later? (a) 7:27 (b) 7:07 (c) 8:17 (d) 7:17
  20. 20.What is the smaller angle between the hour hand and the minute hand at 7:59? (in degrees) =
  21. 21.What is the smaller angle between the hour hand and the minute hand at 7:01? (in degrees) =
  22. 22.What is the smaller angle between the hour hand and the minute hand at 7:00? (in degrees) =
  23. 23.A clock shows 5:56. What time will it show 150 minutes later? (a) 8:26 (b) 8:36 (c) 9:26 (d) 8:16
  24. 24.A clock shows 6:44. What time will it show 26 minutes later? (a) 8:10 (b) 7:10 (c) 7:20 (d) 7:00
  25. 25.How many degrees does the hour hand of a clock turn in 62 minutes? =
  26. 26.How many degrees does the hour hand of a clock turn in 73 minutes? =
  27. 27.What is the smaller angle between the hour hand and the minute hand at 10:23? (in degrees) =
  28. 28.How many degrees does the minute hand of a clock turn in 10 minutes? =
  29. 29.What is the smaller angle between the hour hand and the minute hand at 1:51? (in degrees) =
  30. 30.A clock shows 6:34. What time will it show 50 minutes later? (a) 7:14 (b) 8:24 (c) 7:34 (d) 7:24
  31. 31.What is the smaller angle between the hour hand and the minute hand at 7:13? (in degrees) =
  32. 32.What is the smaller angle between the hour hand and the minute hand at 11:00? (in degrees) =
  33. 33.A clock shows 12:07. What time will it show 29 minutes later? (a) 12:26 (b) 12:46 (c) 1:36 (d) 12:36
  34. 34.What is the smaller angle between the hour hand and the minute hand at 3:00? (in degrees) =
  35. 35.What is the smaller angle between the hour hand and the minute hand at 3:06? (in degrees) =
  36. 36.A clock shows 3:53. What time will it show 102 minutes later? (a) 5:35 (b) 5:25 (c) 6:35 (d) 5:45
  37. 37.How many degrees does the minute hand of a clock turn in 2 minutes? =
  38. 38.What is the smaller angle between the hour hand and the minute hand at 10:36? (in degrees) =
  39. 39.How many degrees does the minute hand of a clock turn in 18 minutes? =
  40. 40.How many degrees does the hour hand of a clock turn in 132 minutes? =

Answer key

  1. 3:09
  2. 84.5
  3. 2:55
  4. 90
  5. 10:55
  6. 31.5
  7. 4:32
  8. 113.5
  9. 68
  10. 78.5
  11. 7:18
  12. 19
  13. 73.5
  14. 42
  15. 90
  16. 49.5
  17. 3:42
  18. 9:23
  19. 7:17
  20. 114.5
  21. 155.5
  22. 150
  23. 8:26
  24. 7:10
  25. 31
  26. 36.5
  27. 173.5
  28. 60
  29. 109.5
  30. 7:24
  31. 138.5
  32. 30
  33. 12:36
  34. 90
  35. 57
  36. 5:35
  37. 12
  38. 102
  39. 108
  40. 66

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