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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 778 · 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 5:59. What time will it show 72 minutes later? (a) 8:11 (b) 7:01 (c) 7:21 (d) 7:11
  2. 2.What is the smaller angle between the hour hand and the minute hand at 7:26? (in degrees) =
  3. 3.How many degrees does the hour hand of a clock turn in 96 minutes? =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 6:49? (in degrees) =
  5. 5.How many degrees does the hour hand of a clock turn in 160 minutes? =
  6. 6.What is the smaller angle between the hour hand and the minute hand at 7:52? (in degrees) =
  7. 7.A clock shows 5:15. What time will it show 25 minutes later? (a) 5:50 (b) 6:40 (c) 5:30 (d) 5:40
  8. 8.What is the smaller angle between the hour hand and the minute hand at 1:10? (in degrees) =
  9. 9.How many degrees does the minute hand of a clock turn in 14 minutes? =
  10. 10.A clock shows 3:09. What time will it show 134 minutes later? (a) 5:33 (b) 6:23 (c) 5:23 (d) 5:13
  11. 11.A clock shows 3:56. What time will it show 51 minutes later? (a) 4:37 (b) 4:47 (c) 5:47 (d) 4:57
  12. 12.How many degrees does the minute hand of a clock turn in 18 minutes? =
  13. 13.What is the smaller angle between the hour hand and the minute hand at 3:58? (in degrees) =
  14. 14.A clock shows 10:45. What time will it show 77 minutes later? (a) 12:12 (b) 1:02 (c) 12:02 (d) 11:52
  15. 15.What is the smaller angle between the hour hand and the minute hand at 9:36? (in degrees) =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 8:29? (in degrees) =
  17. 17.How many degrees does the hour hand of a clock turn in 137 minutes? =
  18. 18.How many degrees does the minute hand of a clock turn in 37 minutes? =
  19. 19.What is the smaller angle between the hour hand and the minute hand at 4:30? (in degrees) =
  20. 20.What is the smaller angle between the hour hand and the minute hand at 9:48? (in degrees) =
  21. 21.What is the smaller angle between the hour hand and the minute hand at 1:54? (in degrees) =
  22. 22.A clock shows 5:35. What time will it show 53 minutes later? (a) 7:28 (b) 6:38 (c) 6:28 (d) 6:18
  23. 23.What is the smaller angle between the hour hand and the minute hand at 5:23? (in degrees) =
  24. 24.How many degrees does the minute hand of a clock turn in 44 minutes? =
  25. 25.What is the smaller angle between the hour hand and the minute hand at 3:21? (in degrees) =
  26. 26.What is the smaller angle between the hour hand and the minute hand at 11:09? (in degrees) =
  27. 27.How many degrees does the minute hand of a clock turn in 53 minutes? =
  28. 28.A clock shows 2:22. What time will it show 44 minutes later? (a) 4:06 (b) 3:16 (c) 3:06 (d) 2:56
  29. 29.How many degrees does the minute hand of a clock turn in 6 minutes? =
  30. 30.How many degrees does the minute hand of a clock turn in 29 minutes? =
  31. 31.A clock shows 11:14. What time will it show 17 minutes later? (a) 11:21 (b) 11:31 (c) 12:31 (d) 11:41
  32. 32.What is the smaller angle between the hour hand and the minute hand at 7:05? (in degrees) =
  33. 33.How many degrees does the minute hand of a clock turn in 30 minutes? =
  34. 34.How many degrees does the hour hand of a clock turn in 40 minutes? =
  35. 35.How many degrees does the hour hand of a clock turn in 145 minutes? =
  36. 36.How many degrees does the minute hand of a clock turn in 25 minutes? =
  37. 37.How many degrees does the hour hand of a clock turn in 109 minutes? =
  38. 38.A clock shows 8:36. What time will it show 99 minutes later? (a) 11:15 (b) 10:15 (c) 10:25 (d) 10:05
  39. 39.A clock shows 8:06. What time will it show 155 minutes later? (a) 11:41 (b) 10:51 (c) 10:41 (d) 10:31
  40. 40.What is the smaller angle between the hour hand and the minute hand at 7:00? (in degrees) =

Answer key

  1. 7:11
  2. 67
  3. 48
  4. 89.5
  5. 80
  6. 76
  7. 5:40
  8. 25
  9. 84
  10. 5:23
  11. 4:47
  12. 108
  13. 131
  14. 12:02
  15. 72
  16. 80.5
  17. 68.5
  18. 222
  19. 45
  20. 6
  21. 93
  22. 6:28
  23. 23.5
  24. 264
  25. 25.5
  26. 79.5
  27. 318
  28. 3:06
  29. 36
  30. 174
  31. 11:31
  32. 177.5
  33. 180
  34. 20
  35. 72.5
  36. 150
  37. 54.5
  38. 10:15
  39. 10:41
  40. 150

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