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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 721 · 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 7:23? (in degrees) =
  2. 2.What is the smaller angle between the hour hand and the minute hand at 6:53? (in degrees) =
  3. 3.What is the smaller angle between the hour hand and the minute hand at 8:57? (in degrees) =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 10:22? (in degrees) =
  5. 5.How many degrees does the hour hand of a clock turn in 29 minutes? =
  6. 6.What is the smaller angle between the hour hand and the minute hand at 9:26? (in degrees) =
  7. 7.What is the smaller angle between the hour hand and the minute hand at 4:07? (in degrees) =
  8. 8.What is the smaller angle between the hour hand and the minute hand at 8:54? (in degrees) =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 2:07? (in degrees) =
  10. 10.A clock shows 8:41. What time will it show 93 minutes later? (a) 10:04 (b) 11:14 (c) 10:14 (d) 10:24
  11. 11.What is the smaller angle between the hour hand and the minute hand at 3:24? (in degrees) =
  12. 12.A clock shows 7:00. What time will it show 123 minutes later? (a) 9:03 (b) 9:13 (c) 10:03 (d) 8:53
  13. 13.How many degrees does the minute hand of a clock turn in 59 minutes? =
  14. 14.What is the smaller angle between the hour hand and the minute hand at 9:48? (in degrees) =
  15. 15.How many degrees does the hour hand of a clock turn in 141 minutes? =
  16. 16.How many degrees does the hour hand of a clock turn in 179 minutes? =
  17. 17.What is the smaller angle between the hour hand and the minute hand at 10:35? (in degrees) =
  18. 18.How many degrees does the minute hand of a clock turn in 19 minutes? =
  19. 19.How many degrees does the hour hand of a clock turn in 113 minutes? =
  20. 20.How many degrees does the hour hand of a clock turn in 80 minutes? =
  21. 21.What is the smaller angle between the hour hand and the minute hand at 10:46? (in degrees) =
  22. 22.A clock shows 9:11. What time will it show 138 minutes later? (a) 11:29 (b) 12:29 (c) 11:39 (d) 11:19
  23. 23.How many degrees does the hour hand of a clock turn in 93 minutes? =
  24. 24.A clock shows 5:00. What time will it show 52 minutes later? (a) 6:52 (b) 5:52 (c) 5:42 (d) 6:02
  25. 25.A clock shows 11:38. What time will it show 127 minutes later? (a) 2:45 (b) 1:35 (c) 1:45 (d) 1:55
  26. 26.What is the smaller angle between the hour hand and the minute hand at 11:19? (in degrees) =
  27. 27.A clock shows 3:12. What time will it show 147 minutes later? (a) 6:39 (b) 5:49 (c) 5:39 (d) 5:29
  28. 28.How many degrees does the minute hand of a clock turn in 4 minutes? =
  29. 29.What is the smaller angle between the hour hand and the minute hand at 3:04? (in degrees) =
  30. 30.A clock shows 5:45. What time will it show 144 minutes later? (a) 8:09 (b) 8:19 (c) 7:59 (d) 9:09
  31. 31.A clock shows 8:03. What time will it show 82 minutes later? (a) 9:35 (b) 10:25 (c) 9:15 (d) 9:25
  32. 32.How many degrees does the hour hand of a clock turn in 71 minutes? =
  33. 33.A clock shows 6:49. What time will it show 43 minutes later? (a) 7:22 (b) 7:42 (c) 7:32 (d) 8:32
  34. 34.What is the smaller angle between the hour hand and the minute hand at 3:29? (in degrees) =
  35. 35.How many degrees does the minute hand of a clock turn in 53 minutes? =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 1:52? (in degrees) =
  37. 37.How many degrees does the minute hand of a clock turn in 39 minutes? =
  38. 38.How many degrees does the hour hand of a clock turn in 180 minutes? =
  39. 39.How many degrees does the minute hand of a clock turn in 46 minutes? =
  40. 40.How many degrees does the hour hand of a clock turn in 37 minutes? =

Answer key

  1. 83.5
  2. 111.5
  3. 73.5
  4. 179
  5. 14.5
  6. 127
  7. 81.5
  8. 57
  9. 21.5
  10. 10:14
  11. 42
  12. 9:03
  13. 354
  14. 6
  15. 70.5
  16. 89.5
  17. 107.5
  18. 114
  19. 56.5
  20. 40
  21. 47
  22. 11:29
  23. 46.5
  24. 5:52
  25. 1:45
  26. 134.5
  27. 5:39
  28. 24
  29. 68
  30. 8:09
  31. 9:25
  32. 35.5
  33. 7:32
  34. 69.5
  35. 318
  36. 104
  37. 234
  38. 90
  39. 276
  40. 18.5

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