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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 475 · 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 3:03? (in degrees) =
  2. 2.A clock shows 11:10. What time will it show 33 minutes later? (a) 12:43 (b) 11:53 (c) 11:33 (d) 11:43
  3. 3.A clock shows 11:53. What time will it show 142 minutes later? (a) 3:15 (b) 2:05 (c) 2:25 (d) 2:15
  4. 4.What is the smaller angle between the hour hand and the minute hand at 6:32? (in degrees) =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 7:26? (in degrees) =
  6. 6.What is the smaller angle between the hour hand and the minute hand at 1:54? (in degrees) =
  7. 7.A clock shows 4:41. What time will it show 38 minutes later? (a) 5:19 (b) 5:29 (c) 5:09 (d) 6:19
  8. 8.A clock shows 9:12. What time will it show 96 minutes later? (a) 10:48 (b) 11:48 (c) 10:58 (d) 10:38
  9. 9.A clock shows 4:12. What time will it show 77 minutes later? (a) 5:19 (b) 5:29 (c) 6:29 (d) 5:39
  10. 10.A clock shows 4:43. What time will it show 48 minutes later? (a) 5:21 (b) 5:41 (c) 5:31 (d) 6:31
  11. 11.A clock shows 6:40. What time will it show 48 minutes later? (a) 8:28 (b) 7:38 (c) 7:28 (d) 7:18
  12. 12.How many degrees does the hour hand of a clock turn in 47 minutes? =
  13. 13.A clock shows 4:13. What time will it show 30 minutes later? (a) 5:43 (b) 4:53 (c) 4:43 (d) 4:33
  14. 14.How many degrees does the hour hand of a clock turn in 132 minutes? =
  15. 15.What is the smaller angle between the hour hand and the minute hand at 9:02? (in degrees) =
  16. 16.How many degrees does the minute hand of a clock turn in 58 minutes? =
  17. 17.How many degrees does the hour hand of a clock turn in 80 minutes? =
  18. 18.What is the smaller angle between the hour hand and the minute hand at 1:18? (in degrees) =
  19. 19.What is the smaller angle between the hour hand and the minute hand at 5:01? (in degrees) =
  20. 20.A clock shows 12:42. What time will it show 58 minutes later? (a) 2:40 (b) 1:50 (c) 1:40 (d) 1:30
  21. 21.What is the smaller angle between the hour hand and the minute hand at 2:06? (in degrees) =
  22. 22.A clock shows 5:20. What time will it show 45 minutes later? (a) 6:15 (b) 7:05 (c) 6:05 (d) 5:55
  23. 23.What is the smaller angle between the hour hand and the minute hand at 7:52? (in degrees) =
  24. 24.How many degrees does the minute hand of a clock turn in 25 minutes? =
  25. 25.A clock shows 6:04. What time will it show 159 minutes later? (a) 8:33 (b) 9:43 (c) 8:53 (d) 8:43
  26. 26.How many degrees does the hour hand of a clock turn in 11 minutes? =
  27. 27.What is the smaller angle between the hour hand and the minute hand at 10:52? (in degrees) =
  28. 28.A clock shows 9:26. What time will it show 122 minutes later? (a) 12:28 (b) 11:38 (c) 11:28 (d) 11:18
  29. 29.What is the smaller angle between the hour hand and the minute hand at 4:13? (in degrees) =
  30. 30.What is the smaller angle between the hour hand and the minute hand at 2:02? (in degrees) =
  31. 31.How many degrees does the minute hand of a clock turn in 11 minutes? =
  32. 32.What is the smaller angle between the hour hand and the minute hand at 10:29? (in degrees) =
  33. 33.A clock shows 2:12. What time will it show 99 minutes later? (a) 3:51 (b) 4:01 (c) 3:41 (d) 4:51
  34. 34.What is the smaller angle between the hour hand and the minute hand at 7:55? (in degrees) =
  35. 35.How many degrees does the minute hand of a clock turn in 36 minutes? =
  36. 36.How many degrees does the minute hand of a clock turn in 46 minutes? =
  37. 37.What is the smaller angle between the hour hand and the minute hand at 7:17? (in degrees) =
  38. 38.What is the smaller angle between the hour hand and the minute hand at 3:17? (in degrees) =
  39. 39.What is the smaller angle between the hour hand and the minute hand at 2:48? (in degrees) =
  40. 40.What is the smaller angle between the hour hand and the minute hand at 6:01? (in degrees) =

Answer key

  1. 73.5
  2. 11:43
  3. 2:15
  4. 4
  5. 67
  6. 93
  7. 5:19
  8. 10:48
  9. 5:29
  10. 5:31
  11. 7:28
  12. 23.5
  13. 4:43
  14. 66
  15. 101
  16. 348
  17. 40
  18. 69
  19. 144.5
  20. 1:40
  21. 27
  22. 6:05
  23. 76
  24. 150
  25. 8:43
  26. 5.5
  27. 14
  28. 11:28
  29. 48.5
  30. 49
  31. 66
  32. 140.5
  33. 3:51
  34. 92.5
  35. 216
  36. 276
  37. 116.5
  38. 3.5
  39. 156
  40. 174.5

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