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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 900 · 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 11:26? (in degrees) =
  2. 2.How many degrees does the minute hand of a clock turn in 56 minutes? =
  3. 3.What is the smaller angle between the hour hand and the minute hand at 4:14? (in degrees) =
  4. 4.How many degrees does the minute hand of a clock turn in 17 minutes? =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 11:13? (in degrees) =
  6. 6.A clock shows 4:42. What time will it show 137 minutes later? (a) 6:49 (b) 7:59 (c) 7:09 (d) 6:59
  7. 7.What is the smaller angle between the hour hand and the minute hand at 2:45? (in degrees) =
  8. 8.What is the smaller angle between the hour hand and the minute hand at 4:55? (in degrees) =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 1:06? (in degrees) =
  10. 10.How many degrees does the minute hand of a clock turn in 13 minutes? =
  11. 11.How many degrees does the hour hand of a clock turn in 100 minutes? =
  12. 12.How many degrees does the hour hand of a clock turn in 168 minutes? =
  13. 13.What is the smaller angle between the hour hand and the minute hand at 12:00? (in degrees) =
  14. 14.How many degrees does the minute hand of a clock turn in 3 minutes? =
  15. 15.What is the smaller angle between the hour hand and the minute hand at 1:19? (in degrees) =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 4:18? (in degrees) =
  17. 17.What is the smaller angle between the hour hand and the minute hand at 8:12? (in degrees) =
  18. 18.How many degrees does the minute hand of a clock turn in 15 minutes? =
  19. 19.How many degrees does the minute hand of a clock turn in 35 minutes? =
  20. 20.How many degrees does the hour hand of a clock turn in 74 minutes? =
  21. 21.What is the smaller angle between the hour hand and the minute hand at 3:26? (in degrees) =
  22. 22.A clock shows 2:35. What time will it show 143 minutes later? (a) 5:08 (b) 5:58 (c) 4:48 (d) 4:58
  23. 23.What is the smaller angle between the hour hand and the minute hand at 11:03? (in degrees) =
  24. 24.A clock shows 3:06. What time will it show 27 minutes later? (a) 3:43 (b) 3:23 (c) 3:33 (d) 4:33
  25. 25.A clock shows 4:45. What time will it show 122 minutes later? (a) 6:37 (b) 7:47 (c) 6:57 (d) 6:47
  26. 26.How many degrees does the hour hand of a clock turn in 155 minutes? =
  27. 27.What is the smaller angle between the hour hand and the minute hand at 7:56? (in degrees) =
  28. 28.How many degrees does the hour hand of a clock turn in 109 minutes? =
  29. 29.A clock shows 11:14. What time will it show 170 minutes later? (a) 2:04 (b) 2:14 (c) 1:54 (d) 3:04
  30. 30.A clock shows 3:12. What time will it show 63 minutes later? (a) 4:25 (b) 5:15 (c) 4:05 (d) 4:15
  31. 31.A clock shows 2:26. What time will it show 161 minutes later? (a) 6:07 (b) 4:57 (c) 5:17 (d) 5:07
  32. 32.What is the smaller angle between the hour hand and the minute hand at 9:17? (in degrees) =
  33. 33.What is the smaller angle between the hour hand and the minute hand at 12:30? (in degrees) =
  34. 34.What is the smaller angle between the hour hand and the minute hand at 10:48? (in degrees) =
  35. 35.How many degrees does the hour hand of a clock turn in 60 minutes? =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 8:59? (in degrees) =
  37. 37.A clock shows 11:04. What time will it show 128 minutes later? (a) 1:22 (b) 1:02 (c) 1:12 (d) 2:12
  38. 38.How many degrees does the minute hand of a clock turn in 36 minutes? =
  39. 39.How many degrees does the hour hand of a clock turn in 20 minutes? =
  40. 40.A clock shows 4:04. What time will it show 10 minutes later? (a) 4:04 (b) 4:24 (c) 5:14 (d) 4:14

Answer key

  1. 173
  2. 336
  3. 43
  4. 102
  5. 101.5
  6. 6:59
  7. 172.5
  8. 177.5
  9. 3
  10. 78
  11. 50
  12. 84
  13. 0
  14. 18
  15. 74.5
  16. 21
  17. 174
  18. 90
  19. 210
  20. 37
  21. 53
  22. 4:58
  23. 46.5
  24. 3:33
  25. 6:47
  26. 77.5
  27. 98
  28. 54.5
  29. 2:04
  30. 4:15
  31. 5:07
  32. 176.5
  33. 165
  34. 36
  35. 30
  36. 84.5
  37. 1:12
  38. 216
  39. 10
  40. 4:14

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