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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 331 · 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 2:01. What time will it show 153 minutes later? (a) 4:24 (b) 4:34 (c) 5:34 (d) 4:44
  2. 2.A clock shows 8:46. What time will it show 125 minutes later? (a) 10:51 (b) 10:41 (c) 11:51 (d) 11:01
  3. 3.How many degrees does the hour hand of a clock turn in 135 minutes? =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 7:13? (in degrees) =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 8:30? (in degrees) =
  6. 6.What is the smaller angle between the hour hand and the minute hand at 4:11? (in degrees) =
  7. 7.A clock shows 12:42. What time will it show 29 minutes later? (a) 1:11 (b) 1:21 (c) 1:01 (d) 2:11
  8. 8.What is the smaller angle between the hour hand and the minute hand at 1:42? (in degrees) =
  9. 9.A clock shows 4:00. What time will it show 162 minutes later? (a) 7:42 (b) 6:42 (c) 6:32 (d) 6:52
  10. 10.How many degrees does the minute hand of a clock turn in 48 minutes? =
  11. 11.A clock shows 1:06. What time will it show 30 minutes later? (a) 2:36 (b) 1:46 (c) 1:36 (d) 1:26
  12. 12.A clock shows 2:47. What time will it show 72 minutes later? (a) 3:59 (b) 4:09 (c) 4:59 (d) 3:49
  13. 13.How many degrees does the hour hand of a clock turn in 78 minutes? =
  14. 14.How many degrees does the hour hand of a clock turn in 31 minutes? =
  15. 15.What is the smaller angle between the hour hand and the minute hand at 11:01? (in degrees) =
  16. 16.How many degrees does the hour hand of a clock turn in 94 minutes? =
  17. 17.What is the smaller angle between the hour hand and the minute hand at 3:34? (in degrees) =
  18. 18.A clock shows 11:14. What time will it show 51 minutes later? (a) 12:05 (b) 1:05 (c) 11:55 (d) 12:15
  19. 19.How many degrees does the hour hand of a clock turn in 149 minutes? =
  20. 20.How many degrees does the minute hand of a clock turn in 7 minutes? =
  21. 21.A clock shows 6:48. What time will it show 57 minutes later? (a) 7:35 (b) 8:45 (c) 7:55 (d) 7:45
  22. 22.A clock shows 6:06. What time will it show 40 minutes later? (a) 6:56 (b) 6:36 (c) 6:46 (d) 7:46
  23. 23.A clock shows 1:14. What time will it show 65 minutes later? (a) 3:19 (b) 2:19 (c) 2:09 (d) 2:29
  24. 24.What is the smaller angle between the hour hand and the minute hand at 3:01? (in degrees) =
  25. 25.What is the smaller angle between the hour hand and the minute hand at 5:48? (in degrees) =
  26. 26.What is the smaller angle between the hour hand and the minute hand at 11:41? (in degrees) =
  27. 27.How many degrees does the minute hand of a clock turn in 56 minutes? =
  28. 28.What is the smaller angle between the hour hand and the minute hand at 10:40? (in degrees) =
  29. 29.What is the smaller angle between the hour hand and the minute hand at 3:26? (in degrees) =
  30. 30.What is the smaller angle between the hour hand and the minute hand at 9:55? (in degrees) =
  31. 31.What is the smaller angle between the hour hand and the minute hand at 5:43? (in degrees) =
  32. 32.What is the smaller angle between the hour hand and the minute hand at 7:18? (in degrees) =
  33. 33.A clock shows 1:24. What time will it show 57 minutes later? (a) 2:21 (b) 2:11 (c) 2:31 (d) 3:21
  34. 34.What is the smaller angle between the hour hand and the minute hand at 10:41? (in degrees) =
  35. 35.What is the smaller angle between the hour hand and the minute hand at 12:00? (in degrees) =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 10:55? (in degrees) =
  37. 37.What is the smaller angle between the hour hand and the minute hand at 2:34? (in degrees) =
  38. 38.How many degrees does the hour hand of a clock turn in 168 minutes? =
  39. 39.How many degrees does the minute hand of a clock turn in 12 minutes? =
  40. 40.What is the smaller angle between the hour hand and the minute hand at 2:19? (in degrees) =

Answer key

  1. 4:34
  2. 10:51
  3. 67.5
  4. 138.5
  5. 75
  6. 59.5
  7. 1:11
  8. 159
  9. 6:42
  10. 288
  11. 1:36
  12. 3:59
  13. 39
  14. 15.5
  15. 35.5
  16. 47
  17. 97
  18. 12:05
  19. 74.5
  20. 42
  21. 7:45
  22. 6:46
  23. 2:19
  24. 84.5
  25. 114
  26. 104.5
  27. 336
  28. 80
  29. 53
  30. 32.5
  31. 86.5
  32. 111
  33. 2:21
  34. 74.5
  35. 0
  36. 2.5
  37. 127
  38. 84
  39. 72
  40. 44.5

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