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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 700 · 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.How many degrees does the hour hand of a clock turn in 55 minutes? =
  2. 2.A clock shows 5:15. What time will it show 24 minutes later? (a) 5:29 (b) 6:39 (c) 5:49 (d) 5:39
  3. 3.What is the smaller angle between the hour hand and the minute hand at 7:36? (in degrees) =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 1:21? (in degrees) =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 10:00? (in degrees) =
  6. 6.A clock shows 1:16. What time will it show 125 minutes later? (a) 3:11 (b) 4:21 (c) 3:31 (d) 3:21
  7. 7.How many degrees does the minute hand of a clock turn in 2 minutes? =
  8. 8.What is the smaller angle between the hour hand and the minute hand at 1:39? (in degrees) =
  9. 9.A clock shows 7:47. What time will it show 17 minutes later? (a) 8:04 (b) 7:54 (c) 8:14 (d) 9:04
  10. 10.What is the smaller angle between the hour hand and the minute hand at 12:17? (in degrees) =
  11. 11.A clock shows 8:15. What time will it show 34 minutes later? (a) 9:49 (b) 8:59 (c) 8:49 (d) 8:39
  12. 12.A clock shows 7:26. What time will it show 132 minutes later? (a) 10:38 (b) 9:28 (c) 9:48 (d) 9:38
  13. 13.A clock shows 1:54. What time will it show 157 minutes later? (a) 4:31 (b) 5:31 (c) 4:41 (d) 4:21
  14. 14.A clock shows 11:13. What time will it show 97 minutes later? (a) 12:40 (b) 1:50 (c) 1:00 (d) 12:50
  15. 15.What is the smaller angle between the hour hand and the minute hand at 4:48? (in degrees) =
  16. 16.How many degrees does the minute hand of a clock turn in 45 minutes? =
  17. 17.A clock shows 9:55. What time will it show 24 minutes later? (a) 10:09 (b) 11:19 (c) 10:29 (d) 10:19
  18. 18.A clock shows 9:36. What time will it show 75 minutes later? (a) 10:51 (b) 11:51 (c) 10:41 (d) 11:01
  19. 19.What is the smaller angle between the hour hand and the minute hand at 1:08? (in degrees) =
  20. 20.What is the smaller angle between the hour hand and the minute hand at 4:11? (in degrees) =
  21. 21.How many degrees does the minute hand of a clock turn in 26 minutes? =
  22. 22.How many degrees does the hour hand of a clock turn in 84 minutes? =
  23. 23.What is the smaller angle between the hour hand and the minute hand at 10:04? (in degrees) =
  24. 24.How many degrees does the hour hand of a clock turn in 22 minutes? =
  25. 25.A clock shows 1:15. What time will it show 28 minutes later? (a) 1:53 (b) 1:33 (c) 2:43 (d) 1:43
  26. 26.What is the smaller angle between the hour hand and the minute hand at 1:00? (in degrees) =
  27. 27.A clock shows 2:42. What time will it show 141 minutes later? (a) 5:03 (b) 6:03 (c) 4:53 (d) 5:13
  28. 28.What is the smaller angle between the hour hand and the minute hand at 11:49? (in degrees) =
  29. 29.How many degrees does the hour hand of a clock turn in 77 minutes? =
  30. 30.How many degrees does the minute hand of a clock turn in 47 minutes? =
  31. 31.How many degrees does the minute hand of a clock turn in 6 minutes? =
  32. 32.A clock shows 11:26. What time will it show 160 minutes later? (a) 1:56 (b) 3:06 (c) 2:06 (d) 2:16
  33. 33.What is the smaller angle between the hour hand and the minute hand at 4:59? (in degrees) =
  34. 34.A clock shows 5:21. What time will it show 162 minutes later? (a) 9:03 (b) 8:13 (c) 8:03 (d) 7:53
  35. 35.What is the smaller angle between the hour hand and the minute hand at 1:23? (in degrees) =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 8:09? (in degrees) =
  37. 37.How many degrees does the minute hand of a clock turn in 21 minutes? =
  38. 38.What is the smaller angle between the hour hand and the minute hand at 6:30? (in degrees) =
  39. 39.What is the smaller angle between the hour hand and the minute hand at 12:22? (in degrees) =
  40. 40.What is the smaller angle between the hour hand and the minute hand at 2:52? (in degrees) =

Answer key

  1. 27.5
  2. 5:39
  3. 12
  4. 85.5
  5. 60
  6. 3:21
  7. 12
  8. 175.5
  9. 8:04
  10. 93.5
  11. 8:49
  12. 9:38
  13. 4:31
  14. 12:50
  15. 144
  16. 270
  17. 10:19
  18. 10:51
  19. 14
  20. 59.5
  21. 156
  22. 42
  23. 82
  24. 11
  25. 1:43
  26. 30
  27. 5:03
  28. 60.5
  29. 38.5
  30. 282
  31. 36
  32. 2:06
  33. 155.5
  34. 8:03
  35. 96.5
  36. 169.5
  37. 126
  38. 15
  39. 121
  40. 134

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