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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 650 · 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 12:15. What time will it show 47 minutes later? (a) 1:12 (b) 12:52 (c) 1:02 (d) 2:02
  2. 2.A clock shows 3:09. What time will it show 144 minutes later? (a) 5:23 (b) 6:33 (c) 5:43 (d) 5:33
  3. 3.What is the smaller angle between the hour hand and the minute hand at 7:23? (in degrees) =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 2:31? (in degrees) =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 9:20? (in degrees) =
  6. 6.What is the smaller angle between the hour hand and the minute hand at 10:09? (in degrees) =
  7. 7.What is the smaller angle between the hour hand and the minute hand at 6:36? (in degrees) =
  8. 8.What is the smaller angle between the hour hand and the minute hand at 5:47? (in degrees) =
  9. 9.How many degrees does the hour hand of a clock turn in 121 minutes? =
  10. 10.How many degrees does the hour hand of a clock turn in 36 minutes? =
  11. 11.What is the smaller angle between the hour hand and the minute hand at 3:32? (in degrees) =
  12. 12.How many degrees does the minute hand of a clock turn in 52 minutes? =
  13. 13.A clock shows 5:07. What time will it show 81 minutes later? (a) 6:18 (b) 6:28 (c) 7:28 (d) 6:38
  14. 14.How many degrees does the hour hand of a clock turn in 83 minutes? =
  15. 15.How many degrees does the hour hand of a clock turn in 135 minutes? =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 12:55? (in degrees) =
  17. 17.A clock shows 9:06. What time will it show 139 minutes later? (a) 11:35 (b) 12:25 (c) 11:15 (d) 11:25
  18. 18.A clock shows 9:05. What time will it show 11 minutes later? (a) 9:06 (b) 10:16 (c) 9:26 (d) 9:16
  19. 19.How many degrees does the minute hand of a clock turn in 28 minutes? =
  20. 20.A clock shows 3:08. What time will it show 75 minutes later? (a) 4:23 (b) 4:33 (c) 5:23 (d) 4:13
  21. 21.What is the smaller angle between the hour hand and the minute hand at 3:49? (in degrees) =
  22. 22.A clock shows 12:24. What time will it show 137 minutes later? (a) 3:41 (b) 2:51 (c) 2:31 (d) 2:41
  23. 23.What is the smaller angle between the hour hand and the minute hand at 2:54? (in degrees) =
  24. 24.What is the smaller angle between the hour hand and the minute hand at 6:39? (in degrees) =
  25. 25.A clock shows 6:37. What time will it show 139 minutes later? (a) 9:06 (b) 8:56 (c) 9:56 (d) 8:46
  26. 26.How many degrees does the hour hand of a clock turn in 52 minutes? =
  27. 27.What is the smaller angle between the hour hand and the minute hand at 10:08? (in degrees) =
  28. 28.What is the smaller angle between the hour hand and the minute hand at 10:41? (in degrees) =
  29. 29.What is the smaller angle between the hour hand and the minute hand at 6:07? (in degrees) =
  30. 30.How many degrees does the hour hand of a clock turn in 162 minutes? =
  31. 31.A clock shows 5:01. What time will it show 94 minutes later? (a) 7:35 (b) 6:25 (c) 6:35 (d) 6:45
  32. 32.How many degrees does the minute hand of a clock turn in 14 minutes? =
  33. 33.How many degrees does the minute hand of a clock turn in 16 minutes? =
  34. 34.A clock shows 9:17. What time will it show 123 minutes later? (a) 11:10 (b) 11:20 (c) 12:20 (d) 11:30
  35. 35.How many degrees does the hour hand of a clock turn in 118 minutes? =
  36. 36.How many degrees does the hour hand of a clock turn in 158 minutes? =
  37. 37.How many degrees does the minute hand of a clock turn in 56 minutes? =
  38. 38.What is the smaller angle between the hour hand and the minute hand at 11:43? (in degrees) =
  39. 39.What is the smaller angle between the hour hand and the minute hand at 6:01? (in degrees) =
  40. 40.What is the smaller angle between the hour hand and the minute hand at 4:45? (in degrees) =

Answer key

  1. 1:02
  2. 5:33
  3. 83.5
  4. 110.5
  5. 160
  6. 109.5
  7. 18
  8. 108.5
  9. 60.5
  10. 18
  11. 86
  12. 312
  13. 6:28
  14. 41.5
  15. 67.5
  16. 57.5
  17. 11:25
  18. 9:16
  19. 168
  20. 4:23
  21. 179.5
  22. 2:41
  23. 123
  24. 34.5
  25. 8:56
  26. 26
  27. 104
  28. 74.5
  29. 141.5
  30. 81
  31. 6:35
  32. 84
  33. 96
  34. 11:20
  35. 59
  36. 79
  37. 336
  38. 93.5
  39. 174.5
  40. 127.5

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