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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 689 · 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 4:27? (in degrees) =
  2. 2.A clock shows 7:58. What time will it show 87 minutes later? (a) 9:35 (b) 9:25 (c) 10:25 (d) 9:15
  3. 3.How many degrees does the minute hand of a clock turn in 56 minutes? =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 11:26? (in degrees) =
  5. 5.A clock shows 1:39. What time will it show 46 minutes later? (a) 2:15 (b) 2:35 (c) 3:25 (d) 2:25
  6. 6.What is the smaller angle between the hour hand and the minute hand at 10:47? (in degrees) =
  7. 7.How many degrees does the minute hand of a clock turn in 49 minutes? =
  8. 8.What is the smaller angle between the hour hand and the minute hand at 6:41? (in degrees) =
  9. 9.How many degrees does the minute hand of a clock turn in 15 minutes? =
  10. 10.What is the smaller angle between the hour hand and the minute hand at 1:52? (in degrees) =
  11. 11.What is the smaller angle between the hour hand and the minute hand at 1:36? (in degrees) =
  12. 12.A clock shows 7:05. What time will it show 115 minutes later? (a) 9:00 (b) 10:00 (c) 8:50 (d) 9:10
  13. 13.What is the smaller angle between the hour hand and the minute hand at 1:58? (in degrees) =
  14. 14.What is the smaller angle between the hour hand and the minute hand at 11:13? (in degrees) =
  15. 15.What is the smaller angle between the hour hand and the minute hand at 8:25? (in degrees) =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 8:31? (in degrees) =
  17. 17.How many degrees does the hour hand of a clock turn in 25 minutes? =
  18. 18.A clock shows 10:36. What time will it show 84 minutes later? (a) 11:50 (b) 12:10 (c) 12:00 (d) 1:00
  19. 19.A clock shows 7:51. What time will it show 170 minutes later? (a) 10:31 (b) 10:51 (c) 11:41 (d) 10:41
  20. 20.A clock shows 7:49. What time will it show 92 minutes later? (a) 10:21 (b) 9:31 (c) 9:21 (d) 9:11
  21. 21.A clock shows 5:11. What time will it show 169 minutes later? (a) 8:00 (b) 8:10 (c) 9:00 (d) 7:50
  22. 22.What is the smaller angle between the hour hand and the minute hand at 1:39? (in degrees) =
  23. 23.What is the smaller angle between the hour hand and the minute hand at 12:21? (in degrees) =
  24. 24.How many degrees does the minute hand of a clock turn in 28 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 10:07? (in degrees) =
  27. 27.How many degrees does the minute hand of a clock turn in 46 minutes? =
  28. 28.What is the smaller angle between the hour hand and the minute hand at 5:02? (in degrees) =
  29. 29.A clock shows 9:13. What time will it show 160 minutes later? (a) 12:03 (b) 11:53 (c) 12:53 (d) 11:43
  30. 30.What is the smaller angle between the hour hand and the minute hand at 6:36? (in degrees) =
  31. 31.What is the smaller angle between the hour hand and the minute hand at 12:37? (in degrees) =
  32. 32.A clock shows 9:59. What time will it show 106 minutes later? (a) 11:35 (b) 11:45 (c) 11:55 (d) 12:45
  33. 33.How many degrees does the hour hand of a clock turn in 93 minutes? =
  34. 34.How many degrees does the hour hand of a clock turn in 122 minutes? =
  35. 35.How many degrees does the minute hand of a clock turn in 48 minutes? =
  36. 36.A clock shows 3:11. What time will it show 126 minutes later? (a) 5:07 (b) 6:17 (c) 5:27 (d) 5:17
  37. 37.How many degrees does the minute hand of a clock turn in 59 minutes? =
  38. 38.A clock shows 7:27. What time will it show 28 minutes later? (a) 8:05 (b) 8:55 (c) 7:45 (d) 7:55
  39. 39.How many degrees does the minute hand of a clock turn in 34 minutes? =
  40. 40.A clock shows 3:14. What time will it show 113 minutes later? (a) 5:07 (b) 4:57 (c) 5:17 (d) 6:07

Answer key

  1. 28.5
  2. 9:25
  3. 336
  4. 173
  5. 2:25
  6. 41.5
  7. 294
  8. 45.5
  9. 90
  10. 104
  11. 168
  12. 9:00
  13. 71
  14. 101.5
  15. 102.5
  16. 69.5
  17. 12.5
  18. 12:00
  19. 10:41
  20. 9:21
  21. 8:00
  22. 175.5
  23. 115.5
  24. 168
  25. 43.5
  26. 98.5
  27. 276
  28. 139
  29. 11:53
  30. 18
  31. 156.5
  32. 11:45
  33. 46.5
  34. 61
  35. 288
  36. 5:17
  37. 354
  38. 7:55
  39. 204
  40. 5:07

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