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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 149 · 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 6:40. What time will it show 122 minutes later? (a) 8:52 (b) 9:42 (c) 8:32 (d) 8:42
  2. 2.What is the smaller angle between the hour hand and the minute hand at 10:17? (in degrees) =
  3. 3.What is the smaller angle between the hour hand and the minute hand at 10:13? (in degrees) =
  4. 4.A clock shows 5:09. What time will it show 26 minutes later? (a) 6:35 (b) 5:45 (c) 5:25 (d) 5:35
  5. 5.What is the smaller angle between the hour hand and the minute hand at 9:11? (in degrees) =
  6. 6.How many degrees does the hour hand of a clock turn in 123 minutes? =
  7. 7.How many degrees does the hour hand of a clock turn in 92 minutes? =
  8. 8.How many degrees does the minute hand of a clock turn in 3 minutes? =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 10:48? (in degrees) =
  10. 10.A clock shows 5:06. What time will it show 36 minutes later? (a) 6:42 (b) 5:32 (c) 5:52 (d) 5:42
  11. 11.How many degrees does the hour hand of a clock turn in 57 minutes? =
  12. 12.What is the smaller angle between the hour hand and the minute hand at 3:53? (in degrees) =
  13. 13.A clock shows 4:46. What time will it show 121 minutes later? (a) 6:37 (b) 6:47 (c) 6:57 (d) 7:47
  14. 14.What is the smaller angle between the hour hand and the minute hand at 2:43? (in degrees) =
  15. 15.A clock shows 2:32. What time will it show 50 minutes later? (a) 3:12 (b) 3:32 (c) 3:22 (d) 4:22
  16. 16.A clock shows 11:06. What time will it show 50 minutes later? (a) 11:56 (b) 12:06 (c) 12:56 (d) 11:46
  17. 17.How many degrees does the hour hand of a clock turn in 159 minutes? =
  18. 18.A clock shows 10:18. What time will it show 162 minutes later? (a) 2:00 (b) 1:10 (c) 12:50 (d) 1:00
  19. 19.How many degrees does the minute hand of a clock turn in 59 minutes? =
  20. 20.What is the smaller angle between the hour hand and the minute hand at 8:39? (in degrees) =
  21. 21.A clock shows 6:43. What time will it show 113 minutes later? (a) 9:36 (b) 8:26 (c) 8:36 (d) 8:46
  22. 22.What is the smaller angle between the hour hand and the minute hand at 6:54? (in degrees) =
  23. 23.A clock shows 8:12. What time will it show 100 minutes later? (a) 10:02 (b) 10:52 (c) 9:42 (d) 9:52
  24. 24.How many degrees does the hour hand of a clock turn in 141 minutes? =
  25. 25.What is the smaller angle between the hour hand and the minute hand at 2:55? (in degrees) =
  26. 26.How many degrees does the minute hand of a clock turn in 39 minutes? =
  27. 27.What is the smaller angle between the hour hand and the minute hand at 1:15? (in degrees) =
  28. 28.How many degrees does the hour hand of a clock turn in 33 minutes? =
  29. 29.What is the smaller angle between the hour hand and the minute hand at 3:36? (in degrees) =
  30. 30.What is the smaller angle between the hour hand and the minute hand at 1:23? (in degrees) =
  31. 31.How many degrees does the hour hand of a clock turn in 59 minutes? =
  32. 32.What is the smaller angle between the hour hand and the minute hand at 11:37? (in degrees) =
  33. 33.How many degrees does the hour hand of a clock turn in 178 minutes? =
  34. 34.How many degrees does the hour hand of a clock turn in 165 minutes? =
  35. 35.What is the smaller angle between the hour hand and the minute hand at 10:50? (in degrees) =
  36. 36.How many degrees does the minute hand of a clock turn in 38 minutes? =
  37. 37.How many degrees does the minute hand of a clock turn in 4 minutes? =
  38. 38.A clock shows 3:37. What time will it show 51 minutes later? (a) 4:18 (b) 4:38 (c) 5:28 (d) 4:28
  39. 39.A clock shows 5:41. What time will it show 123 minutes later? (a) 8:44 (b) 7:34 (c) 7:44 (d) 7:54
  40. 40.What is the smaller angle between the hour hand and the minute hand at 11:54? (in degrees) =

Answer key

  1. 8:42
  2. 153.5
  3. 131.5
  4. 5:35
  5. 150.5
  6. 61.5
  7. 46
  8. 18
  9. 36
  10. 5:42
  11. 28.5
  12. 158.5
  13. 6:47
  14. 176.5
  15. 3:22
  16. 11:56
  17. 79.5
  18. 1:00
  19. 354
  20. 25.5
  21. 8:36
  22. 117
  23. 9:52
  24. 70.5
  25. 117.5
  26. 234
  27. 52.5
  28. 16.5
  29. 108
  30. 96.5
  31. 29.5
  32. 126.5
  33. 89
  34. 82.5
  35. 25
  36. 228
  37. 24
  38. 4:28
  39. 7:44
  40. 33

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