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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 943 · 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.How many degrees does the minute hand of a clock turn in 40 minutes? =
  2. 2.A clock shows 3:04. What time will it show 18 minutes later? (a) 3:12 (b) 4:22 (c) 3:32 (d) 3:22
  3. 3.A clock shows 11:19. What time will it show 53 minutes later? (a) 1:12 (b) 12:02 (c) 12:12 (d) 12:22
  4. 4.How many degrees does the hour hand of a clock turn in 104 minutes? =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 11:31? (in degrees) =
  6. 6.How many degrees does the minute hand of a clock turn in 6 minutes? =
  7. 7.How many degrees does the hour hand of a clock turn in 63 minutes? =
  8. 8.A clock shows 5:43. What time will it show 73 minutes later? (a) 7:56 (b) 7:06 (c) 6:46 (d) 6:56
  9. 9.How many degrees does the minute hand of a clock turn in 16 minutes? =
  10. 10.A clock shows 3:17. What time will it show 35 minutes later? (a) 3:52 (b) 4:02 (c) 3:42 (d) 4:52
  11. 11.What is the smaller angle between the hour hand and the minute hand at 1:32? (in degrees) =
  12. 12.What is the smaller angle between the hour hand and the minute hand at 1:39? (in degrees) =
  13. 13.How many degrees does the minute hand of a clock turn in 12 minutes? =
  14. 14.A clock shows 4:43. What time will it show 135 minutes later? (a) 6:58 (b) 6:48 (c) 7:08 (d) 7:58
  15. 15.How many degrees does the minute hand of a clock turn in 56 minutes? =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 3:44? (in degrees) =
  17. 17.How many degrees does the hour hand of a clock turn in 125 minutes? =
  18. 18.What is the smaller angle between the hour hand and the minute hand at 12:19? (in degrees) =
  19. 19.What is the smaller angle between the hour hand and the minute hand at 3:05? (in degrees) =
  20. 20.How many degrees does the hour hand of a clock turn in 120 minutes? =
  21. 21.What is the smaller angle between the hour hand and the minute hand at 2:03? (in degrees) =
  22. 22.How many degrees does the minute hand of a clock turn in 18 minutes? =
  23. 23.How many degrees does the minute hand of a clock turn in 20 minutes? =
  24. 24.A clock shows 7:05. What time will it show 131 minutes later? (a) 9:06 (b) 9:16 (c) 10:16 (d) 9:26
  25. 25.What is the smaller angle between the hour hand and the minute hand at 9:10? (in degrees) =
  26. 26.What is the smaller angle between the hour hand and the minute hand at 8:51? (in degrees) =
  27. 27.What is the smaller angle between the hour hand and the minute hand at 5:07? (in degrees) =
  28. 28.A clock shows 6:40. What time will it show 57 minutes later? (a) 7:27 (b) 8:37 (c) 7:37 (d) 7:47
  29. 29.A clock shows 3:49. What time will it show 38 minutes later? (a) 4:17 (b) 4:37 (c) 5:27 (d) 4:27
  30. 30.What is the smaller angle between the hour hand and the minute hand at 5:12? (in degrees) =
  31. 31.What is the smaller angle between the hour hand and the minute hand at 2:48? (in degrees) =
  32. 32.A clock shows 12:25. What time will it show 36 minutes later? (a) 1:11 (b) 12:51 (c) 2:01 (d) 1:01
  33. 33.How many degrees does the minute hand of a clock turn in 21 minutes? =
  34. 34.How many degrees does the minute hand of a clock turn in 37 minutes? =
  35. 35.How many degrees does the hour hand of a clock turn in 161 minutes? =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 2:00? (in degrees) =
  37. 37.How many degrees does the hour hand of a clock turn in 157 minutes? =
  38. 38.How many degrees does the minute hand of a clock turn in 50 minutes? =
  39. 39.How many degrees does the hour hand of a clock turn in 93 minutes? =
  40. 40.What is the smaller angle between the hour hand and the minute hand at 1:59? (in degrees) =

Answer key

  1. 240
  2. 3:22
  3. 12:12
  4. 52
  5. 159.5
  6. 36
  7. 31.5
  8. 6:56
  9. 96
  10. 3:52
  11. 146
  12. 175.5
  13. 72
  14. 6:58
  15. 336
  16. 152
  17. 62.5
  18. 104.5
  19. 62.5
  20. 60
  21. 43.5
  22. 108
  23. 120
  24. 9:16
  25. 145
  26. 40.5
  27. 111.5
  28. 7:37
  29. 4:27
  30. 84
  31. 156
  32. 1:01
  33. 126
  34. 222
  35. 80.5
  36. 60
  37. 78.5
  38. 300
  39. 46.5
  40. 65.5

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