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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 450 · 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 9:39. What time will it show 80 minutes later? (a) 11:59 (b) 11:09 (c) 10:59 (d) 10:49
  2. 2.How many degrees does the minute hand of a clock turn in 58 minutes? =
  3. 3.How many degrees does the hour hand of a clock turn in 72 minutes? =
  4. 4.A clock shows 10:51. What time will it show 58 minutes later? (a) 12:49 (b) 11:39 (c) 11:59 (d) 11:49
  5. 5.A clock shows 10:24. What time will it show 153 minutes later? (a) 1:57 (b) 1:07 (c) 12:47 (d) 12:57
  6. 6.What is the smaller angle between the hour hand and the minute hand at 4:54? (in degrees) =
  7. 7.How many degrees does the hour hand of a clock turn in 31 minutes? =
  8. 8.How many degrees does the minute hand of a clock turn in 6 minutes? =
  9. 9.How many degrees does the minute hand of a clock turn in 10 minutes? =
  10. 10.How many degrees does the hour hand of a clock turn in 62 minutes? =
  11. 11.What is the smaller angle between the hour hand and the minute hand at 4:27? (in degrees) =
  12. 12.What is the smaller angle between the hour hand and the minute hand at 6:52? (in degrees) =
  13. 13.A clock shows 1:57. What time will it show 81 minutes later? (a) 3:08 (b) 4:18 (c) 3:28 (d) 3:18
  14. 14.A clock shows 2:09. What time will it show 94 minutes later? (a) 3:53 (b) 4:43 (c) 3:33 (d) 3:43
  15. 15.How many degrees does the hour hand of a clock turn in 51 minutes? =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 7:45? (in degrees) =
  17. 17.What is the smaller angle between the hour hand and the minute hand at 2:51? (in degrees) =
  18. 18.A clock shows 10:55. What time will it show 132 minutes later? (a) 1:07 (b) 2:07 (c) 12:57 (d) 1:17
  19. 19.What is the smaller angle between the hour hand and the minute hand at 8:32? (in degrees) =
  20. 20.What is the smaller angle between the hour hand and the minute hand at 4:59? (in degrees) =
  21. 21.How many degrees does the minute hand of a clock turn in 5 minutes? =
  22. 22.What is the smaller angle between the hour hand and the minute hand at 12:39? (in degrees) =
  23. 23.A clock shows 1:09. What time will it show 47 minutes later? (a) 1:56 (b) 2:06 (c) 1:46 (d) 2:56
  24. 24.How many degrees does the minute hand of a clock turn in 8 minutes? =
  25. 25.A clock shows 12:00. What time will it show 51 minutes later? (a) 1:01 (b) 1:51 (c) 12:51 (d) 12:41
  26. 26.A clock shows 9:59. What time will it show 144 minutes later? (a) 1:23 (b) 12:33 (c) 12:23 (d) 12:13
  27. 27.How many degrees does the minute hand of a clock turn in 15 minutes? =
  28. 28.A clock shows 1:12. What time will it show 92 minutes later? (a) 2:34 (b) 3:44 (c) 2:54 (d) 2:44
  29. 29.A clock shows 9:59. What time will it show 68 minutes later? (a) 12:07 (b) 11:17 (c) 11:07 (d) 10:57
  30. 30.What is the smaller angle between the hour hand and the minute hand at 3:30? (in degrees) =
  31. 31.How many degrees does the hour hand of a clock turn in 17 minutes? =
  32. 32.What is the smaller angle between the hour hand and the minute hand at 6:35? (in degrees) =
  33. 33.What is the smaller angle between the hour hand and the minute hand at 10:06? (in degrees) =
  34. 34.What is the smaller angle between the hour hand and the minute hand at 8:03? (in degrees) =
  35. 35.A clock shows 3:51. What time will it show 154 minutes later? (a) 6:35 (b) 6:25 (c) 6:15 (d) 7:25
  36. 36.How many degrees does the minute hand of a clock turn in 16 minutes? =
  37. 37.What is the smaller angle between the hour hand and the minute hand at 9:14? (in degrees) =
  38. 38.How many degrees does the hour hand of a clock turn in 59 minutes? =
  39. 39.How many degrees does the minute hand of a clock turn in 40 minutes? =
  40. 40.A clock shows 10:29. What time will it show 41 minutes later? (a) 11:00 (b) 11:20 (c) 12:10 (d) 11:10

Answer key

  1. 10:59
  2. 348
  3. 36
  4. 11:49
  5. 12:57
  6. 177
  7. 15.5
  8. 36
  9. 60
  10. 31
  11. 28.5
  12. 106
  13. 3:18
  14. 3:43
  15. 25.5
  16. 37.5
  17. 139.5
  18. 1:07
  19. 64
  20. 155.5
  21. 30
  22. 145.5
  23. 1:56
  24. 48
  25. 12:51
  26. 12:23
  27. 90
  28. 2:44
  29. 11:07
  30. 75
  31. 8.5
  32. 12.5
  33. 93
  34. 136.5
  35. 6:25
  36. 96
  37. 167
  38. 29.5
  39. 240
  40. 11:10

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