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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 207 · 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.What is the smaller angle between the hour hand and the minute hand at 6:59? (in degrees) =
  2. 2.How many degrees does the minute hand of a clock turn in 14 minutes? =
  3. 3.How many degrees does the minute hand of a clock turn in 4 minutes? =
  4. 4.How many degrees does the minute hand of a clock turn in 2 minutes? =
  5. 5.How many degrees does the hour hand of a clock turn in 127 minutes? =
  6. 6.A clock shows 2:10. What time will it show 20 minutes later? (a) 2:20 (b) 2:30 (c) 2:40 (d) 3:30
  7. 7.How many degrees does the hour hand of a clock turn in 52 minutes? =
  8. 8.What is the smaller angle between the hour hand and the minute hand at 10:43? (in degrees) =
  9. 9.A clock shows 5:17. What time will it show 73 minutes later? (a) 6:20 (b) 7:30 (c) 6:40 (d) 6:30
  10. 10.A clock shows 10:40. What time will it show 152 minutes later? (a) 1:12 (b) 2:12 (c) 1:22 (d) 1:02
  11. 11.A clock shows 9:02. What time will it show 65 minutes later? (a) 10:07 (b) 11:07 (c) 9:57 (d) 10:17
  12. 12.A clock shows 8:40. What time will it show 111 minutes later? (a) 11:31 (b) 10:41 (c) 10:31 (d) 10:21
  13. 13.What is the smaller angle between the hour hand and the minute hand at 4:32? (in degrees) =
  14. 14.What is the smaller angle between the hour hand and the minute hand at 4:50? (in degrees) =
  15. 15.How many degrees does the hour hand of a clock turn in 117 minutes? =
  16. 16.How many degrees does the minute hand of a clock turn in 36 minutes? =
  17. 17.What is the smaller angle between the hour hand and the minute hand at 10:59? (in degrees) =
  18. 18.What is the smaller angle between the hour hand and the minute hand at 1:57? (in degrees) =
  19. 19.What is the smaller angle between the hour hand and the minute hand at 9:12? (in degrees) =
  20. 20.How many degrees does the minute hand of a clock turn in 56 minutes? =
  21. 21.A clock shows 4:40. What time will it show 29 minutes later? (a) 5:19 (b) 6:09 (c) 4:59 (d) 5:09
  22. 22.What is the smaller angle between the hour hand and the minute hand at 2:21? (in degrees) =
  23. 23.How many degrees does the minute hand of a clock turn in 47 minutes? =
  24. 24.What is the smaller angle between the hour hand and the minute hand at 9:44? (in degrees) =
  25. 25.A clock shows 2:12. What time will it show 37 minutes later? (a) 3:49 (b) 2:49 (c) 2:59 (d) 2:39
  26. 26.How many degrees does the minute hand of a clock turn in 37 minutes? =
  27. 27.A clock shows 12:51. What time will it show 152 minutes later? (a) 3:23 (b) 3:13 (c) 4:23 (d) 3:33
  28. 28.A clock shows 4:20. What time will it show 31 minutes later? (a) 4:41 (b) 5:51 (c) 4:51 (d) 5:01
  29. 29.What is the smaller angle between the hour hand and the minute hand at 1:10? (in degrees) =
  30. 30.What is the smaller angle between the hour hand and the minute hand at 5:47? (in degrees) =
  31. 31.What is the smaller angle between the hour hand and the minute hand at 5:30? (in degrees) =
  32. 32.A clock shows 6:54. What time will it show 99 minutes later? (a) 8:33 (b) 9:33 (c) 8:23 (d) 8:43
  33. 33.How many degrees does the minute hand of a clock turn in 11 minutes? =
  34. 34.A clock shows 1:42. What time will it show 19 minutes later? (a) 2:11 (b) 3:01 (c) 2:01 (d) 1:51
  35. 35.What is the smaller angle between the hour hand and the minute hand at 5:13? (in degrees) =
  36. 36.How many degrees does the hour hand of a clock turn in 75 minutes? =
  37. 37.How many degrees does the hour hand of a clock turn in 82 minutes? =
  38. 38.What is the smaller angle between the hour hand and the minute hand at 11:42? (in degrees) =
  39. 39.How many degrees does the hour hand of a clock turn in 34 minutes? =
  40. 40.A clock shows 1:07. What time will it show 84 minutes later? (a) 2:41 (b) 2:31 (c) 2:21 (d) 3:31

Answer key

  1. 144.5
  2. 84
  3. 24
  4. 12
  5. 63.5
  6. 2:30
  7. 26
  8. 63.5
  9. 6:30
  10. 1:12
  11. 10:07
  12. 10:31
  13. 56
  14. 155
  15. 58.5
  16. 216
  17. 24.5
  18. 76.5
  19. 156
  20. 336
  21. 5:09
  22. 55.5
  23. 282
  24. 28
  25. 2:49
  26. 222
  27. 3:23
  28. 4:51
  29. 25
  30. 108.5
  31. 15
  32. 8:33
  33. 66
  34. 2:01
  35. 78.5
  36. 37.5
  37. 41
  38. 99
  39. 17
  40. 2:31

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