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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 832 · 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 minute hand of a clock turn in 23 minutes? =
  2. 2.What is the smaller angle between the hour hand and the minute hand at 1:16? (in degrees) =
  3. 3.What is the smaller angle between the hour hand and the minute hand at 10:03? (in degrees) =
  4. 4.How many degrees does the hour hand of a clock turn in 26 minutes? =
  5. 5.A clock shows 9:42. What time will it show 41 minutes later? (a) 11:23 (b) 10:33 (c) 10:13 (d) 10:23
  6. 6.How many degrees does the hour hand of a clock turn in 119 minutes? =
  7. 7.A clock shows 10:52. What time will it show 43 minutes later? (a) 12:35 (b) 11:45 (c) 11:25 (d) 11:35
  8. 8.What is the smaller angle between the hour hand and the minute hand at 5:48? (in degrees) =
  9. 9.How many degrees does the minute hand of a clock turn in 34 minutes? =
  10. 10.How many degrees does the hour hand of a clock turn in 10 minutes? =
  11. 11.What is the smaller angle between the hour hand and the minute hand at 10:14? (in degrees) =
  12. 12.A clock shows 7:31. What time will it show 43 minutes later? (a) 8:24 (b) 8:04 (c) 9:14 (d) 8:14
  13. 13.A clock shows 11:35. What time will it show 10 minutes later? (a) 11:35 (b) 11:55 (c) 11:45 (d) 12:45
  14. 14.How many degrees does the hour hand of a clock turn in 121 minutes? =
  15. 15.What is the smaller angle between the hour hand and the minute hand at 12:00? (in degrees) =
  16. 16.How many degrees does the hour hand of a clock turn in 161 minutes? =
  17. 17.What is the smaller angle between the hour hand and the minute hand at 9:34? (in degrees) =
  18. 18.What is the smaller angle between the hour hand and the minute hand at 1:09? (in degrees) =
  19. 19.How many degrees does the minute hand of a clock turn in 10 minutes? =
  20. 20.How many degrees does the minute hand of a clock turn in 18 minutes? =
  21. 21.How many degrees does the minute hand of a clock turn in 19 minutes? =
  22. 22.What is the smaller angle between the hour hand and the minute hand at 2:00? (in degrees) =
  23. 23.What is the smaller angle between the hour hand and the minute hand at 3:12? (in degrees) =
  24. 24.How many degrees does the minute hand of a clock turn in 59 minutes? =
  25. 25.A clock shows 2:09. What time will it show 35 minutes later? (a) 2:44 (b) 2:34 (c) 2:54 (d) 3:44
  26. 26.What is the smaller angle between the hour hand and the minute hand at 10:28? (in degrees) =
  27. 27.How many degrees does the hour hand of a clock turn in 65 minutes? =
  28. 28.What is the smaller angle between the hour hand and the minute hand at 9:58? (in degrees) =
  29. 29.How many degrees does the hour hand of a clock turn in 117 minutes? =
  30. 30.A clock shows 2:42. What time will it show 50 minutes later? (a) 3:22 (b) 4:32 (c) 3:42 (d) 3:32
  31. 31.How many degrees does the minute hand of a clock turn in 7 minutes? =
  32. 32.What is the smaller angle between the hour hand and the minute hand at 12:46? (in degrees) =
  33. 33.What is the smaller angle between the hour hand and the minute hand at 10:13? (in degrees) =
  34. 34.A clock shows 7:47. What time will it show 14 minutes later? (a) 8:11 (b) 8:01 (c) 9:01 (d) 7:51
  35. 35.What is the smaller angle between the hour hand and the minute hand at 3:25? (in degrees) =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 1:35? (in degrees) =
  37. 37.What is the smaller angle between the hour hand and the minute hand at 6:43? (in degrees) =
  38. 38.How many degrees does the hour hand of a clock turn in 22 minutes? =
  39. 39.A clock shows 11:03. What time will it show 166 minutes later? (a) 1:59 (b) 2:49 (c) 1:39 (d) 1:49
  40. 40.How many degrees does the minute hand of a clock turn in 21 minutes? =

Answer key

  1. 138
  2. 58
  3. 76.5
  4. 13
  5. 10:23
  6. 59.5
  7. 11:35
  8. 114
  9. 204
  10. 5
  11. 137
  12. 8:14
  13. 11:45
  14. 60.5
  15. 0
  16. 80.5
  17. 83
  18. 19.5
  19. 60
  20. 108
  21. 114
  22. 60
  23. 24
  24. 354
  25. 2:44
  26. 146
  27. 32.5
  28. 49
  29. 58.5
  30. 3:32
  31. 42
  32. 107
  33. 131.5
  34. 8:01
  35. 47.5
  36. 162.5
  37. 56.5
  38. 11
  39. 1:49
  40. 126

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