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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 529 · 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.What is the smaller angle between the hour hand and the minute hand at 11:32? (in degrees) =
  2. 2.What is the smaller angle between the hour hand and the minute hand at 10:02? (in degrees) =
  3. 3.What is the smaller angle between the hour hand and the minute hand at 8:47? (in degrees) =
  4. 4.How many degrees does the hour hand of a clock turn in 154 minutes? =
  5. 5.How many degrees does the minute hand of a clock turn in 5 minutes? =
  6. 6.How many degrees does the hour hand of a clock turn in 31 minutes? =
  7. 7.How many degrees does the hour hand of a clock turn in 36 minutes? =
  8. 8.A clock shows 1:03. What time will it show 105 minutes later? (a) 2:58 (b) 2:38 (c) 2:48 (d) 3:48
  9. 9.What is the smaller angle between the hour hand and the minute hand at 1:51? (in degrees) =
  10. 10.A clock shows 7:07. What time will it show 28 minutes later? (a) 7:25 (b) 8:35 (c) 7:35 (d) 7:45
  11. 11.How many degrees does the minute hand of a clock turn in 28 minutes? =
  12. 12.A clock shows 9:59. What time will it show 73 minutes later? (a) 12:12 (b) 11:02 (c) 11:12 (d) 11:22
  13. 13.A clock shows 5:08. What time will it show 44 minutes later? (a) 6:02 (b) 5:42 (c) 5:52 (d) 6:52
  14. 14.A clock shows 6:53. What time will it show 104 minutes later? (a) 8:27 (b) 8:37 (c) 9:37 (d) 8:47
  15. 15.How many degrees does the hour hand of a clock turn in 34 minutes? =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 12:42? (in degrees) =
  17. 17.A clock shows 2:37. What time will it show 44 minutes later? (a) 3:31 (b) 3:21 (c) 4:21 (d) 3:11
  18. 18.What is the smaller angle between the hour hand and the minute hand at 12:37? (in degrees) =
  19. 19.What is the smaller angle between the hour hand and the minute hand at 9:37? (in degrees) =
  20. 20.What is the smaller angle between the hour hand and the minute hand at 3:14? (in degrees) =
  21. 21.How many degrees does the hour hand of a clock turn in 55 minutes? =
  22. 22.What is the smaller angle between the hour hand and the minute hand at 2:21? (in degrees) =
  23. 23.How many degrees does the minute hand of a clock turn in 26 minutes? =
  24. 24.How many degrees does the minute hand of a clock turn in 12 minutes? =
  25. 25.What is the smaller angle between the hour hand and the minute hand at 8:29? (in degrees) =
  26. 26.A clock shows 7:11. What time will it show 135 minutes later? (a) 9:26 (b) 9:36 (c) 9:16 (d) 10:26
  27. 27.A clock shows 6:36. What time will it show 158 minutes later? (a) 9:04 (b) 9:24 (c) 9:14 (d) 10:14
  28. 28.What is the smaller angle between the hour hand and the minute hand at 7:08? (in degrees) =
  29. 29.How many degrees does the minute hand of a clock turn in 30 minutes? =
  30. 30.How many degrees does the minute hand of a clock turn in 24 minutes? =
  31. 31.How many degrees does the hour hand of a clock turn in 59 minutes? =
  32. 32.What is the smaller angle between the hour hand and the minute hand at 10:03? (in degrees) =
  33. 33.What is the smaller angle between the hour hand and the minute hand at 7:59? (in degrees) =
  34. 34.A clock shows 12:32. What time will it show 44 minutes later? (a) 2:16 (b) 1:26 (c) 1:06 (d) 1:16
  35. 35.What is the smaller angle between the hour hand and the minute hand at 3:57? (in degrees) =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 5:19? (in degrees) =
  37. 37.How many degrees does the minute hand of a clock turn in 50 minutes? =
  38. 38.A clock shows 1:54. What time will it show 39 minutes later? (a) 2:23 (b) 2:43 (c) 2:33 (d) 3:33
  39. 39.A clock shows 10:23. What time will it show 18 minutes later? (a) 11:41 (b) 10:41 (c) 10:51 (d) 10:31
  40. 40.How many degrees does the hour hand of a clock turn in 161 minutes? =

Answer key

  1. 154
  2. 71
  3. 18.5
  4. 77
  5. 30
  6. 15.5
  7. 18
  8. 2:48
  9. 109.5
  10. 7:35
  11. 168
  12. 11:12
  13. 5:52
  14. 8:37
  15. 17
  16. 129
  17. 3:21
  18. 156.5
  19. 66.5
  20. 13
  21. 27.5
  22. 55.5
  23. 156
  24. 72
  25. 80.5
  26. 9:26
  27. 9:14
  28. 166
  29. 180
  30. 144
  31. 29.5
  32. 76.5
  33. 114.5
  34. 1:16
  35. 136.5
  36. 45.5
  37. 300
  38. 2:33
  39. 10:41
  40. 80.5

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