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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 790 · 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.A clock shows 5:03. What time will it show 32 minutes later? (a) 5:35 (b) 6:35 (c) 5:45 (d) 5:25
  2. 2.How many degrees does the minute hand of a clock turn in 45 minutes? =
  3. 3.What is the smaller angle between the hour hand and the minute hand at 10:55? (in degrees) =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 3:59? (in degrees) =
  5. 5.How many degrees does the minute hand of a clock turn in 54 minutes? =
  6. 6.What is the smaller angle between the hour hand and the minute hand at 1:01? (in degrees) =
  7. 7.How many degrees does the minute hand of a clock turn in 9 minutes? =
  8. 8.What is the smaller angle between the hour hand and the minute hand at 8:04? (in degrees) =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 6:49? (in degrees) =
  10. 10.How many degrees does the minute hand of a clock turn in 3 minutes? =
  11. 11.What is the smaller angle between the hour hand and the minute hand at 11:54? (in degrees) =
  12. 12.How many degrees does the minute hand of a clock turn in 57 minutes? =
  13. 13.What is the smaller angle between the hour hand and the minute hand at 12:04? (in degrees) =
  14. 14.A clock shows 9:10. What time will it show 117 minutes later? (a) 11:07 (b) 10:57 (c) 12:07 (d) 11:17
  15. 15.A clock shows 7:08. What time will it show 139 minutes later? (a) 9:17 (b) 9:27 (c) 9:37 (d) 10:27
  16. 16.A clock shows 4:56. What time will it show 145 minutes later? (a) 7:21 (b) 8:21 (c) 7:31 (d) 7:11
  17. 17.What is the smaller angle between the hour hand and the minute hand at 8:52? (in degrees) =
  18. 18.What is the smaller angle between the hour hand and the minute hand at 1:25? (in degrees) =
  19. 19.A clock shows 5:50. What time will it show 22 minutes later? (a) 7:12 (b) 6:12 (c) 6:02 (d) 6:22
  20. 20.A clock shows 9:26. What time will it show 17 minutes later? (a) 9:33 (b) 10:43 (c) 9:43 (d) 9:53
  21. 21.What is the smaller angle between the hour hand and the minute hand at 8:42? (in degrees) =
  22. 22.A clock shows 12:34. What time will it show 47 minutes later? (a) 1:21 (b) 1:11 (c) 1:31 (d) 2:21
  23. 23.A clock shows 9:48. What time will it show 113 minutes later? (a) 11:51 (b) 11:31 (c) 12:41 (d) 11:41
  24. 24.How many degrees does the minute hand of a clock turn in 23 minutes? =
  25. 25.How many degrees does the hour hand of a clock turn in 87 minutes? =
  26. 26.What is the smaller angle between the hour hand and the minute hand at 5:41? (in degrees) =
  27. 27.A clock shows 1:19. What time will it show 168 minutes later? (a) 4:07 (b) 4:17 (c) 3:57 (d) 5:07
  28. 28.What is the smaller angle between the hour hand and the minute hand at 6:45? (in degrees) =
  29. 29.A clock shows 2:37. What time will it show 66 minutes later? (a) 4:43 (b) 3:33 (c) 3:43 (d) 3:53
  30. 30.What is the smaller angle between the hour hand and the minute hand at 10:19? (in degrees) =
  31. 31.What is the smaller angle between the hour hand and the minute hand at 11:19? (in degrees) =
  32. 32.What is the smaller angle between the hour hand and the minute hand at 7:32? (in degrees) =
  33. 33.How many degrees does the hour hand of a clock turn in 128 minutes? =
  34. 34.A clock shows 8:08. What time will it show 98 minutes later? (a) 9:46 (b) 9:36 (c) 9:56 (d) 10:46
  35. 35.What is the smaller angle between the hour hand and the minute hand at 11:18? (in degrees) =
  36. 36.A clock shows 11:21. What time will it show 84 minutes later? (a) 12:45 (b) 12:55 (c) 12:35 (d) 1:45
  37. 37.How many degrees does the hour hand of a clock turn in 163 minutes? =
  38. 38.How many degrees does the hour hand of a clock turn in 165 minutes? =
  39. 39.What is the smaller angle between the hour hand and the minute hand at 3:52? (in degrees) =
  40. 40.How many degrees does the minute hand of a clock turn in 11 minutes? =

Answer key

  1. 5:35
  2. 270
  3. 2.5
  4. 125.5
  5. 324
  6. 24.5
  7. 54
  8. 142
  9. 89.5
  10. 18
  11. 33
  12. 342
  13. 22
  14. 11:07
  15. 9:27
  16. 7:21
  17. 46
  18. 107.5
  19. 6:12
  20. 9:43
  21. 9
  22. 1:21
  23. 11:41
  24. 138
  25. 43.5
  26. 75.5
  27. 4:07
  28. 67.5
  29. 3:43
  30. 164.5
  31. 134.5
  32. 34
  33. 64
  34. 9:46
  35. 129
  36. 12:45
  37. 81.5
  38. 82.5
  39. 164
  40. 66

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