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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 460 · 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 2:41. What time will it show 155 minutes later? (a) 5:06 (b) 6:16 (c) 5:26 (d) 5:16
  2. 2.What is the smaller angle between the hour hand and the minute hand at 4:28? (in degrees) =
  3. 3.How many degrees does the hour hand of a clock turn in 121 minutes? =
  4. 4.A clock shows 7:06. What time will it show 162 minutes later? (a) 9:58 (b) 9:48 (c) 10:48 (d) 9:38
  5. 5.A clock shows 5:17. What time will it show 56 minutes later? (a) 6:23 (b) 6:13 (c) 6:03 (d) 7:13
  6. 6.How many degrees does the minute hand of a clock turn in 19 minutes? =
  7. 7.How many degrees does the hour hand of a clock turn in 10 minutes? =
  8. 8.What is the smaller angle between the hour hand and the minute hand at 7:19? (in degrees) =
  9. 9.How many degrees does the hour hand of a clock turn in 167 minutes? =
  10. 10.What is the smaller angle between the hour hand and the minute hand at 4:45? (in degrees) =
  11. 11.What is the smaller angle between the hour hand and the minute hand at 11:55? (in degrees) =
  12. 12.How many degrees does the hour hand of a clock turn in 52 minutes? =
  13. 13.What is the smaller angle between the hour hand and the minute hand at 10:26? (in degrees) =
  14. 14.What is the smaller angle between the hour hand and the minute hand at 4:55? (in degrees) =
  15. 15.A clock shows 1:41. What time will it show 137 minutes later? (a) 3:58 (b) 4:08 (c) 4:58 (d) 3:48
  16. 16.How many degrees does the minute hand of a clock turn in 8 minutes? =
  17. 17.What is the smaller angle between the hour hand and the minute hand at 11:28? (in degrees) =
  18. 18.How many degrees does the minute hand of a clock turn in 5 minutes? =
  19. 19.What is the smaller angle between the hour hand and the minute hand at 1:09? (in degrees) =
  20. 20.What is the smaller angle between the hour hand and the minute hand at 5:48? (in degrees) =
  21. 21.How many degrees does the minute hand of a clock turn in 25 minutes? =
  22. 22.A clock shows 11:57. What time will it show 144 minutes later? (a) 2:11 (b) 2:31 (c) 3:21 (d) 2:21
  23. 23.How many degrees does the minute hand of a clock turn in 58 minutes? =
  24. 24.How many degrees does the minute hand of a clock turn in 9 minutes? =
  25. 25.A clock shows 3:45. What time will it show 22 minutes later? (a) 4:07 (b) 3:57 (c) 4:17 (d) 5:07
  26. 26.A clock shows 9:49. What time will it show 107 minutes later? (a) 11:26 (b) 11:46 (c) 11:36 (d) 12:36
  27. 27.What is the smaller angle between the hour hand and the minute hand at 12:50? (in degrees) =
  28. 28.How many degrees does the hour hand of a clock turn in 164 minutes? =
  29. 29.How many degrees does the minute hand of a clock turn in 12 minutes? =
  30. 30.A clock shows 2:41. What time will it show 45 minutes later? (a) 3:16 (b) 4:26 (c) 3:36 (d) 3:26
  31. 31.A clock shows 2:27. What time will it show 138 minutes later? (a) 4:55 (b) 4:35 (c) 5:45 (d) 4:45
  32. 32.What is the smaller angle between the hour hand and the minute hand at 6:52? (in degrees) =
  33. 33.How many degrees does the hour hand of a clock turn in 170 minutes? =
  34. 34.How many degrees does the minute hand of a clock turn in 13 minutes? =
  35. 35.How many degrees does the hour hand of a clock turn in 85 minutes? =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 11:48? (in degrees) =
  37. 37.A clock shows 9:14. What time will it show 29 minutes later? (a) 10:43 (b) 9:33 (c) 9:53 (d) 9:43
  38. 38.How many degrees does the hour hand of a clock turn in 150 minutes? =
  39. 39.A clock shows 2:35. What time will it show 53 minutes later? (a) 3:38 (b) 3:28 (c) 3:18 (d) 4:28
  40. 40.How many degrees does the hour hand of a clock turn in 58 minutes? =

Answer key

  1. 5:16
  2. 34
  3. 60.5
  4. 9:48
  5. 6:13
  6. 114
  7. 5
  8. 105.5
  9. 83.5
  10. 127.5
  11. 27.5
  12. 26
  13. 157
  14. 177.5
  15. 3:58
  16. 48
  17. 176
  18. 30
  19. 19.5
  20. 114
  21. 150
  22. 2:21
  23. 348
  24. 54
  25. 4:07
  26. 11:36
  27. 85
  28. 82
  29. 72
  30. 3:26
  31. 4:45
  32. 106
  33. 85
  34. 78
  35. 42.5
  36. 66
  37. 9:43
  38. 75
  39. 3:28
  40. 29

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