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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 858 · 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 10:22? (in degrees) =
  2. 2.What is the smaller angle between the hour hand and the minute hand at 12:04? (in degrees) =
  3. 3.How many degrees does the minute hand of a clock turn in 19 minutes? =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 8:06? (in degrees) =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 8:16? (in degrees) =
  6. 6.A clock shows 4:05. What time will it show 38 minutes later? (a) 4:33 (b) 4:43 (c) 4:53 (d) 5:43
  7. 7.What is the smaller angle between the hour hand and the minute hand at 11:11? (in degrees) =
  8. 8.A clock shows 10:50. What time will it show 17 minutes later? (a) 12:07 (b) 11:07 (c) 11:17 (d) 10:57
  9. 9.What is the smaller angle between the hour hand and the minute hand at 10:53? (in degrees) =
  10. 10.A clock shows 10:26. What time will it show 59 minutes later? (a) 11:35 (b) 11:15 (c) 11:25 (d) 12:25
  11. 11.What is the smaller angle between the hour hand and the minute hand at 8:30? (in degrees) =
  12. 12.What is the smaller angle between the hour hand and the minute hand at 4:04? (in degrees) =
  13. 13.What is the smaller angle between the hour hand and the minute hand at 12:56? (in degrees) =
  14. 14.How many degrees does the minute hand of a clock turn in 35 minutes? =
  15. 15.What is the smaller angle between the hour hand and the minute hand at 5:05? (in degrees) =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 3:19? (in degrees) =
  17. 17.A clock shows 1:08. What time will it show 104 minutes later? (a) 3:52 (b) 2:42 (c) 2:52 (d) 3:02
  18. 18.How many degrees does the minute hand of a clock turn in 44 minutes? =
  19. 19.What is the smaller angle between the hour hand and the minute hand at 12:18? (in degrees) =
  20. 20.What is the smaller angle between the hour hand and the minute hand at 7:07? (in degrees) =
  21. 21.What is the smaller angle between the hour hand and the minute hand at 5:54? (in degrees) =
  22. 22.What is the smaller angle between the hour hand and the minute hand at 7:15? (in degrees) =
  23. 23.A clock shows 4:55. What time will it show 90 minutes later? (a) 6:15 (b) 7:25 (c) 6:25 (d) 6:35
  24. 24.A clock shows 5:01. What time will it show 25 minutes later? (a) 5:16 (b) 5:36 (c) 5:26 (d) 6:26
  25. 25.What is the smaller angle between the hour hand and the minute hand at 11:35? (in degrees) =
  26. 26.A clock shows 7:17. What time will it show 32 minutes later? (a) 7:59 (b) 7:39 (c) 8:49 (d) 7:49
  27. 27.What is the smaller angle between the hour hand and the minute hand at 2:31? (in degrees) =
  28. 28.How many degrees does the minute hand of a clock turn in 54 minutes? =
  29. 29.What is the smaller angle between the hour hand and the minute hand at 10:11? (in degrees) =
  30. 30.How many degrees does the hour hand of a clock turn in 125 minutes? =
  31. 31.How many degrees does the hour hand of a clock turn in 171 minutes? =
  32. 32.A clock shows 12:16. What time will it show 104 minutes later? (a) 1:50 (b) 2:00 (c) 2:10 (d) 3:00
  33. 33.How many degrees does the minute hand of a clock turn in 38 minutes? =
  34. 34.How many degrees does the minute hand of a clock turn in 42 minutes? =
  35. 35.How many degrees does the hour hand of a clock turn in 20 minutes? =
  36. 36.How many degrees does the minute hand of a clock turn in 16 minutes? =
  37. 37.How many degrees does the minute hand of a clock turn in 46 minutes? =
  38. 38.What is the smaller angle between the hour hand and the minute hand at 12:00? (in degrees) =
  39. 39.What is the smaller angle between the hour hand and the minute hand at 3:17? (in degrees) =
  40. 40.How many degrees does the minute hand of a clock turn in 26 minutes? =

Answer key

  1. 179
  2. 22
  3. 114
  4. 153
  5. 152
  6. 4:43
  7. 90.5
  8. 11:07
  9. 8.5
  10. 11:25
  11. 75
  12. 98
  13. 52
  14. 210
  15. 122.5
  16. 14.5
  17. 2:52
  18. 264
  19. 99
  20. 171.5
  21. 147
  22. 127.5
  23. 6:25
  24. 5:26
  25. 137.5
  26. 7:49
  27. 110.5
  28. 324
  29. 120.5
  30. 62.5
  31. 85.5
  32. 2:00
  33. 228
  34. 252
  35. 10
  36. 96
  37. 276
  38. 0
  39. 3.5
  40. 156

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