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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 301 · 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 11:58. What time will it show 29 minutes later? (a) 12:37 (b) 12:17 (c) 1:27 (d) 12:27
  2. 2.A clock shows 10:34. What time will it show 42 minutes later? (a) 11:06 (b) 12:16 (c) 11:16 (d) 11:26
  3. 3.What is the smaller angle between the hour hand and the minute hand at 4:13? (in degrees) =
  4. 4.A clock shows 9:02. What time will it show 151 minutes later? (a) 11:43 (b) 11:33 (c) 11:23 (d) 12:33
  5. 5.How many degrees does the minute hand of a clock turn in 29 minutes? =
  6. 6.What is the smaller angle between the hour hand and the minute hand at 11:53? (in degrees) =
  7. 7.How many degrees does the minute hand of a clock turn in 33 minutes? =
  8. 8.What is the smaller angle between the hour hand and the minute hand at 4:15? (in degrees) =
  9. 9.How many degrees does the minute hand of a clock turn in 19 minutes? =
  10. 10.How many degrees does the hour hand of a clock turn in 41 minutes? =
  11. 11.What is the smaller angle between the hour hand and the minute hand at 3:30? (in degrees) =
  12. 12.What is the smaller angle between the hour hand and the minute hand at 12:58? (in degrees) =
  13. 13.What is the smaller angle between the hour hand and the minute hand at 3:43? (in degrees) =
  14. 14.How many degrees does the minute hand of a clock turn in 56 minutes? =
  15. 15.What is the smaller angle between the hour hand and the minute hand at 2:05? (in degrees) =
  16. 16.A clock shows 10:34. What time will it show 115 minutes later? (a) 12:29 (b) 1:29 (c) 12:19 (d) 12:39
  17. 17.A clock shows 3:45. What time will it show 41 minutes later? (a) 4:16 (b) 4:26 (c) 5:26 (d) 4:36
  18. 18.A clock shows 8:07. What time will it show 56 minutes later? (a) 10:03 (b) 9:13 (c) 9:03 (d) 8:53
  19. 19.How many degrees does the hour hand of a clock turn in 120 minutes? =
  20. 20.How many degrees does the hour hand of a clock turn in 83 minutes? =
  21. 21.What is the smaller angle between the hour hand and the minute hand at 2:09? (in degrees) =
  22. 22.What is the smaller angle between the hour hand and the minute hand at 1:52? (in degrees) =
  23. 23.What is the smaller angle between the hour hand and the minute hand at 7:08? (in degrees) =
  24. 24.A clock shows 8:18. What time will it show 137 minutes later? (a) 10:35 (b) 10:25 (c) 11:35 (d) 10:45
  25. 25.How many degrees does the minute hand of a clock turn in 16 minutes? =
  26. 26.What is the smaller angle between the hour hand and the minute hand at 2:24? (in degrees) =
  27. 27.A clock shows 3:54. What time will it show 107 minutes later? (a) 6:41 (b) 5:51 (c) 5:31 (d) 5:41
  28. 28.What is the smaller angle between the hour hand and the minute hand at 1:13? (in degrees) =
  29. 29.What is the smaller angle between the hour hand and the minute hand at 3:33? (in degrees) =
  30. 30.How many degrees does the hour hand of a clock turn in 150 minutes? =
  31. 31.What is the smaller angle between the hour hand and the minute hand at 4:46? (in degrees) =
  32. 32.What is the smaller angle between the hour hand and the minute hand at 9:20? (in degrees) =
  33. 33.What is the smaller angle between the hour hand and the minute hand at 10:15? (in degrees) =
  34. 34.What is the smaller angle between the hour hand and the minute hand at 1:35? (in degrees) =
  35. 35.What is the smaller angle between the hour hand and the minute hand at 12:44? (in degrees) =
  36. 36.How many degrees does the minute hand of a clock turn in 50 minutes? =
  37. 37.A clock shows 4:27. What time will it show 131 minutes later? (a) 6:28 (b) 7:38 (c) 6:48 (d) 6:38
  38. 38.A clock shows 8:43. What time will it show 62 minutes later? (a) 10:45 (b) 9:45 (c) 9:35 (d) 9:55
  39. 39.How many degrees does the hour hand of a clock turn in 89 minutes? =
  40. 40.How many degrees does the hour hand of a clock turn in 174 minutes? =

Answer key

  1. 12:27
  2. 11:16
  3. 48.5
  4. 11:33
  5. 174
  6. 38.5
  7. 198
  8. 37.5
  9. 114
  10. 20.5
  11. 75
  12. 41
  13. 146.5
  14. 336
  15. 32.5
  16. 12:29
  17. 4:26
  18. 9:03
  19. 60
  20. 41.5
  21. 10.5
  22. 104
  23. 166
  24. 10:35
  25. 96
  26. 72
  27. 5:41
  28. 41.5
  29. 91.5
  30. 75
  31. 133
  32. 160
  33. 142.5
  34. 162.5
  35. 118
  36. 300
  37. 6:38
  38. 9:45
  39. 44.5
  40. 87

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