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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 150 · 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 3:34. What time will it show 19 minutes later? (a) 4:03 (b) 4:53 (c) 3:43 (d) 3:53
  2. 2.What is the smaller angle between the hour hand and the minute hand at 11:04? (in degrees) =
  3. 3.What is the smaller angle between the hour hand and the minute hand at 6:52? (in degrees) =
  4. 4.How many degrees does the minute hand of a clock turn in 44 minutes? =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 11:00? (in degrees) =
  6. 6.How many degrees does the hour hand of a clock turn in 10 minutes? =
  7. 7.How many degrees does the minute hand of a clock turn in 14 minutes? =
  8. 8.What is the smaller angle between the hour hand and the minute hand at 11:06? (in degrees) =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 8:54? (in degrees) =
  10. 10.What is the smaller angle between the hour hand and the minute hand at 3:17? (in degrees) =
  11. 11.What is the smaller angle between the hour hand and the minute hand at 11:48? (in degrees) =
  12. 12.A clock shows 12:29. What time will it show 154 minutes later? (a) 3:03 (b) 4:03 (c) 2:53 (d) 3:13
  13. 13.What is the smaller angle between the hour hand and the minute hand at 4:28? (in degrees) =
  14. 14.How many degrees does the hour hand of a clock turn in 45 minutes? =
  15. 15.What is the smaller angle between the hour hand and the minute hand at 12:46? (in degrees) =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 2:45? (in degrees) =
  17. 17.A clock shows 2:10. What time will it show 150 minutes later? (a) 5:40 (b) 4:50 (c) 4:40 (d) 4:30
  18. 18.A clock shows 4:23. What time will it show 72 minutes later? (a) 5:45 (b) 6:35 (c) 5:25 (d) 5:35
  19. 19.What is the smaller angle between the hour hand and the minute hand at 10:37? (in degrees) =
  20. 20.How many degrees does the minute hand of a clock turn in 4 minutes? =
  21. 21.What is the smaller angle between the hour hand and the minute hand at 1:37? (in degrees) =
  22. 22.What is the smaller angle between the hour hand and the minute hand at 6:23? (in degrees) =
  23. 23.How many degrees does the hour hand of a clock turn in 98 minutes? =
  24. 24.What is the smaller angle between the hour hand and the minute hand at 1:10? (in degrees) =
  25. 25.What is the smaller angle between the hour hand and the minute hand at 11:15? (in degrees) =
  26. 26.How many degrees does the minute hand of a clock turn in 17 minutes? =
  27. 27.A clock shows 1:38. What time will it show 64 minutes later? (a) 2:32 (b) 3:42 (c) 2:42 (d) 2:52
  28. 28.What is the smaller angle between the hour hand and the minute hand at 12:32? (in degrees) =
  29. 29.What is the smaller angle between the hour hand and the minute hand at 7:50? (in degrees) =
  30. 30.How many degrees does the minute hand of a clock turn in 56 minutes? =
  31. 31.A clock shows 1:07. What time will it show 43 minutes later? (a) 2:00 (b) 1:50 (c) 2:50 (d) 1:40
  32. 32.What is the smaller angle between the hour hand and the minute hand at 2:38? (in degrees) =
  33. 33.What is the smaller angle between the hour hand and the minute hand at 11:26? (in degrees) =
  34. 34.What is the smaller angle between the hour hand and the minute hand at 2:46? (in degrees) =
  35. 35.A clock shows 9:57. What time will it show 51 minutes later? (a) 10:48 (b) 11:48 (c) 10:38 (d) 10:58
  36. 36.How many degrees does the minute hand of a clock turn in 19 minutes? =
  37. 37.How many degrees does the hour hand of a clock turn in 71 minutes? =
  38. 38.How many degrees does the minute hand of a clock turn in 7 minutes? =
  39. 39.How many degrees does the minute hand of a clock turn in 54 minutes? =
  40. 40.What is the smaller angle between the hour hand and the minute hand at 3:30? (in degrees) =

Answer key

  1. 3:53
  2. 52
  3. 106
  4. 264
  5. 30
  6. 5
  7. 84
  8. 63
  9. 57
  10. 3.5
  11. 66
  12. 3:03
  13. 34
  14. 22.5
  15. 107
  16. 172.5
  17. 4:40
  18. 5:35
  19. 96.5
  20. 24
  21. 173.5
  22. 53.5
  23. 49
  24. 25
  25. 112.5
  26. 102
  27. 2:42
  28. 176
  29. 65
  30. 336
  31. 1:50
  32. 149
  33. 173
  34. 167
  35. 10:48
  36. 114
  37. 35.5
  38. 42
  39. 324
  40. 75

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