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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 338 · 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 69 minutes? =
  2. 2.What is the smaller angle between the hour hand and the minute hand at 2:53? (in degrees) =
  3. 3.What is the smaller angle between the hour hand and the minute hand at 11:52? (in degrees) =
  4. 4.A clock shows 12:31. What time will it show 130 minutes later? (a) 3:41 (b) 2:51 (c) 2:31 (d) 2:41
  5. 5.What is the smaller angle between the hour hand and the minute hand at 1:26? (in degrees) =
  6. 6.How many degrees does the hour hand of a clock turn in 133 minutes? =
  7. 7.A clock shows 1:15. What time will it show 29 minutes later? (a) 2:44 (b) 1:34 (c) 1:44 (d) 1:54
  8. 8.What is the smaller angle between the hour hand and the minute hand at 9:11? (in degrees) =
  9. 9.A clock shows 6:22. What time will it show 23 minutes later? (a) 6:35 (b) 6:45 (c) 6:55 (d) 7:45
  10. 10.A clock shows 4:16. What time will it show 55 minutes later? (a) 5:11 (b) 6:11 (c) 5:21 (d) 5:01
  11. 11.How many degrees does the hour hand of a clock turn in 172 minutes? =
  12. 12.A clock shows 11:58. What time will it show 166 minutes later? (a) 2:54 (b) 3:44 (c) 2:44 (d) 2:34
  13. 13.What is the smaller angle between the hour hand and the minute hand at 1:54? (in degrees) =
  14. 14.How many degrees does the minute hand of a clock turn in 19 minutes? =
  15. 15.What is the smaller angle between the hour hand and the minute hand at 8:37? (in degrees) =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 3:05? (in degrees) =
  17. 17.A clock shows 7:07. What time will it show 40 minutes later? (a) 7:37 (b) 8:47 (c) 7:47 (d) 7:57
  18. 18.What is the smaller angle between the hour hand and the minute hand at 6:23? (in degrees) =
  19. 19.A clock shows 2:52. What time will it show 38 minutes later? (a) 3:40 (b) 3:30 (c) 3:20 (d) 4:30
  20. 20.How many degrees does the hour hand of a clock turn in 90 minutes? =
  21. 21.How many degrees does the hour hand of a clock turn in 22 minutes? =
  22. 22.What is the smaller angle between the hour hand and the minute hand at 5:08? (in degrees) =
  23. 23.How many degrees does the hour hand of a clock turn in 83 minutes? =
  24. 24.What is the smaller angle between the hour hand and the minute hand at 9:29? (in degrees) =
  25. 25.How many degrees does the minute hand of a clock turn in 3 minutes? =
  26. 26.A clock shows 8:24. What time will it show 81 minutes later? (a) 9:35 (b) 9:55 (c) 9:45 (d) 10:45
  27. 27.What is the smaller angle between the hour hand and the minute hand at 6:13? (in degrees) =
  28. 28.A clock shows 11:18. What time will it show 17 minutes later? (a) 11:25 (b) 11:45 (c) 12:35 (d) 11:35
  29. 29.How many degrees does the hour hand of a clock turn in 32 minutes? =
  30. 30.A clock shows 6:39. What time will it show 169 minutes later? (a) 9:28 (b) 9:18 (c) 9:38 (d) 10:28
  31. 31.What is the smaller angle between the hour hand and the minute hand at 5:13? (in degrees) =
  32. 32.A clock shows 6:29. What time will it show 164 minutes later? (a) 9:23 (b) 10:13 (c) 9:03 (d) 9:13
  33. 33.A clock shows 7:07. What time will it show 13 minutes later? (a) 8:20 (b) 7:30 (c) 7:10 (d) 7:20
  34. 34.What is the smaller angle between the hour hand and the minute hand at 6:35? (in degrees) =
  35. 35.What is the smaller angle between the hour hand and the minute hand at 2:12? (in degrees) =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 8:41? (in degrees) =
  37. 37.What is the smaller angle between the hour hand and the minute hand at 4:03? (in degrees) =
  38. 38.How many degrees does the minute hand of a clock turn in 44 minutes? =
  39. 39.A clock shows 3:23. What time will it show 96 minutes later? (a) 4:59 (b) 5:59 (c) 5:09 (d) 4:49
  40. 40.How many degrees does the minute hand of a clock turn in 42 minutes? =

Answer key

  1. 34.5
  2. 128.5
  3. 44
  4. 2:41
  5. 113
  6. 66.5
  7. 1:44
  8. 150.5
  9. 6:45
  10. 5:11
  11. 86
  12. 2:44
  13. 93
  14. 114
  15. 36.5
  16. 62.5
  17. 7:47
  18. 53.5
  19. 3:30
  20. 45
  21. 11
  22. 106
  23. 41.5
  24. 110.5
  25. 18
  26. 9:45
  27. 108.5
  28. 11:35
  29. 16
  30. 9:28
  31. 78.5
  32. 9:13
  33. 7:20
  34. 12.5
  35. 6
  36. 14.5
  37. 103.5
  38. 264
  39. 4:59
  40. 252

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