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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 459 · 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 12:05. What time will it show 156 minutes later? (a) 2:51 (b) 3:41 (c) 2:41 (d) 2:31
  2. 2.What is the smaller angle between the hour hand and the minute hand at 10:11? (in degrees) =
  3. 3.A clock shows 2:55. What time will it show 124 minutes later? (a) 4:59 (b) 5:09 (c) 4:49 (d) 5:59
  4. 4.How many degrees does the minute hand of a clock turn in 17 minutes? =
  5. 5.How many degrees does the minute hand of a clock turn in 2 minutes? =
  6. 6.How many degrees does the minute hand of a clock turn in 6 minutes? =
  7. 7.How many degrees does the hour hand of a clock turn in 74 minutes? =
  8. 8.What is the smaller angle between the hour hand and the minute hand at 6:15? (in degrees) =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 10:14? (in degrees) =
  10. 10.What is the smaller angle between the hour hand and the minute hand at 3:20? (in degrees) =
  11. 11.How many degrees does the hour hand of a clock turn in 108 minutes? =
  12. 12.How many degrees does the hour hand of a clock turn in 12 minutes? =
  13. 13.A clock shows 1:57. What time will it show 131 minutes later? (a) 4:18 (b) 4:08 (c) 5:08 (d) 3:58
  14. 14.What is the smaller angle between the hour hand and the minute hand at 10:56? (in degrees) =
  15. 15.A clock shows 1:35. What time will it show 123 minutes later? (a) 4:38 (b) 3:38 (c) 3:48 (d) 3:28
  16. 16.How many degrees does the hour hand of a clock turn in 89 minutes? =
  17. 17.A clock shows 2:12. What time will it show 42 minutes later? (a) 3:04 (b) 2:54 (c) 2:44 (d) 3:54
  18. 18.How many degrees does the hour hand of a clock turn in 44 minutes? =
  19. 19.A clock shows 9:37. What time will it show 33 minutes later? (a) 11:10 (b) 10:20 (c) 10:10 (d) 10:00
  20. 20.How many degrees does the minute hand of a clock turn in 43 minutes? =
  21. 21.What is the smaller angle between the hour hand and the minute hand at 1:50? (in degrees) =
  22. 22.What is the smaller angle between the hour hand and the minute hand at 8:38? (in degrees) =
  23. 23.What is the smaller angle between the hour hand and the minute hand at 1:25? (in degrees) =
  24. 24.A clock shows 7:23. What time will it show 68 minutes later? (a) 8:41 (b) 8:31 (c) 9:31 (d) 8:21
  25. 25.What is the smaller angle between the hour hand and the minute hand at 9:00? (in degrees) =
  26. 26.A clock shows 8:14. What time will it show 21 minutes later? (a) 8:45 (b) 8:25 (c) 9:35 (d) 8:35
  27. 27.How many degrees does the minute hand of a clock turn in 10 minutes? =
  28. 28.What is the smaller angle between the hour hand and the minute hand at 8:24? (in degrees) =
  29. 29.What is the smaller angle between the hour hand and the minute hand at 4:36? (in degrees) =
  30. 30.What is the smaller angle between the hour hand and the minute hand at 11:22? (in degrees) =
  31. 31.A clock shows 8:38. What time will it show 118 minutes later? (a) 10:36 (b) 11:36 (c) 10:46 (d) 10:26
  32. 32.A clock shows 2:20. What time will it show 85 minutes later? (a) 4:45 (b) 3:55 (c) 3:45 (d) 3:35
  33. 33.What is the smaller angle between the hour hand and the minute hand at 2:13? (in degrees) =
  34. 34.What is the smaller angle between the hour hand and the minute hand at 10:42? (in degrees) =
  35. 35.What is the smaller angle between the hour hand and the minute hand at 5:29? (in degrees) =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 6:13? (in degrees) =
  37. 37.A clock shows 4:36. What time will it show 135 minutes later? (a) 6:41 (b) 7:01 (c) 7:51 (d) 6:51
  38. 38.How many degrees does the minute hand of a clock turn in 7 minutes? =
  39. 39.A clock shows 8:55. What time will it show 166 minutes later? (a) 11:51 (b) 12:41 (c) 11:31 (d) 11:41
  40. 40.What is the smaller angle between the hour hand and the minute hand at 11:20? (in degrees) =

Answer key

  1. 2:41
  2. 120.5
  3. 4:59
  4. 102
  5. 12
  6. 36
  7. 37
  8. 97.5
  9. 137
  10. 20
  11. 54
  12. 6
  13. 4:08
  14. 8
  15. 3:38
  16. 44.5
  17. 2:54
  18. 22
  19. 10:10
  20. 258
  21. 115
  22. 31
  23. 107.5
  24. 8:31
  25. 90
  26. 8:35
  27. 60
  28. 108
  29. 78
  30. 151
  31. 10:36
  32. 3:45
  33. 11.5
  34. 69
  35. 9.5
  36. 108.5
  37. 6:51
  38. 42
  39. 11:41
  40. 140

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