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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 928 · 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 6:30. What time will it show 17 minutes later? (a) 6:37 (b) 6:47 (c) 7:47 (d) 6:57
  2. 2.What is the smaller angle between the hour hand and the minute hand at 6:02? (in degrees) =
  3. 3.A clock shows 9:46. What time will it show 84 minutes later? (a) 12:10 (b) 11:00 (c) 11:10 (d) 11:20
  4. 4.What is the smaller angle between the hour hand and the minute hand at 11:13? (in degrees) =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 2:56? (in degrees) =
  6. 6.What is the smaller angle between the hour hand and the minute hand at 9:12? (in degrees) =
  7. 7.A clock shows 2:54. What time will it show 89 minutes later? (a) 4:13 (b) 4:23 (c) 5:23 (d) 4:33
  8. 8.How many degrees does the minute hand of a clock turn in 17 minutes? =
  9. 9.How many degrees does the minute hand of a clock turn in 43 minutes? =
  10. 10.How many degrees does the hour hand of a clock turn in 41 minutes? =
  11. 11.What is the smaller angle between the hour hand and the minute hand at 5:19? (in degrees) =
  12. 12.What is the smaller angle between the hour hand and the minute hand at 6:13? (in degrees) =
  13. 13.How many degrees does the hour hand of a clock turn in 165 minutes? =
  14. 14.A clock shows 2:16. What time will it show 12 minutes later? (a) 2:28 (b) 3:28 (c) 2:38 (d) 2:18
  15. 15.How many degrees does the minute hand of a clock turn in 41 minutes? =
  16. 16.A clock shows 9:05. What time will it show 14 minutes later? (a) 9:29 (b) 9:09 (c) 9:19 (d) 10:19
  17. 17.What is the smaller angle between the hour hand and the minute hand at 4:41? (in degrees) =
  18. 18.What is the smaller angle between the hour hand and the minute hand at 12:43? (in degrees) =
  19. 19.What is the smaller angle between the hour hand and the minute hand at 8:11? (in degrees) =
  20. 20.A clock shows 10:28. What time will it show 125 minutes later? (a) 12:43 (b) 12:33 (c) 12:23 (d) 1:33
  21. 21.What is the smaller angle between the hour hand and the minute hand at 1:59? (in degrees) =
  22. 22.How many degrees does the minute hand of a clock turn in 56 minutes? =
  23. 23.What is the smaller angle between the hour hand and the minute hand at 10:08? (in degrees) =
  24. 24.How many degrees does the minute hand of a clock turn in 26 minutes? =
  25. 25.A clock shows 7:16. What time will it show 127 minutes later? (a) 9:33 (b) 9:13 (c) 9:23 (d) 10:23
  26. 26.How many degrees does the hour hand of a clock turn in 79 minutes? =
  27. 27.A clock shows 3:14. What time will it show 80 minutes later? (a) 4:44 (b) 5:34 (c) 4:24 (d) 4:34
  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 12:01? (in degrees) =
  30. 30.A clock shows 9:32. What time will it show 86 minutes later? (a) 10:58 (b) 11:58 (c) 11:08 (d) 10:48
  31. 31.How many degrees does the hour hand of a clock turn in 155 minutes? =
  32. 32.How many degrees does the minute hand of a clock turn in 10 minutes? =
  33. 33.What is the smaller angle between the hour hand and the minute hand at 2:19? (in degrees) =
  34. 34.A clock shows 6:55. What time will it show 18 minutes later? (a) 7:23 (b) 8:13 (c) 7:03 (d) 7:13
  35. 35.A clock shows 1:01. What time will it show 147 minutes later? (a) 3:18 (b) 3:38 (c) 3:28 (d) 4:28
  36. 36.What is the smaller angle between the hour hand and the minute hand at 10:15? (in degrees) =
  37. 37.How many degrees does the minute hand of a clock turn in 29 minutes? =
  38. 38.What is the smaller angle between the hour hand and the minute hand at 11:15? (in degrees) =
  39. 39.A clock shows 5:02. What time will it show 134 minutes later? (a) 7:26 (b) 7:06 (c) 7:16 (d) 8:16
  40. 40.How many degrees does the minute hand of a clock turn in 3 minutes? =

Answer key

  1. 6:47
  2. 169
  3. 11:10
  4. 101.5
  5. 112
  6. 156
  7. 4:23
  8. 102
  9. 258
  10. 20.5
  11. 45.5
  12. 108.5
  13. 82.5
  14. 2:28
  15. 246
  16. 9:19
  17. 105.5
  18. 123.5
  19. 179.5
  20. 12:33
  21. 65.5
  22. 336
  23. 104
  24. 156
  25. 9:23
  26. 39.5
  27. 4:34
  28. 16.5
  29. 5.5
  30. 10:58
  31. 77.5
  32. 60
  33. 44.5
  34. 7:13
  35. 3:28
  36. 142.5
  37. 174
  38. 112.5
  39. 7:16
  40. 18

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