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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 703 · 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 4:21? (in degrees) =
  2. 2.How many degrees does the minute hand of a clock turn in 13 minutes? =
  3. 3.A clock shows 9:52. What time will it show 17 minutes later? (a) 9:59 (b) 10:09 (c) 10:19 (d) 11:09
  4. 4.How many degrees does the minute hand of a clock turn in 45 minutes? =
  5. 5.How many degrees does the minute hand of a clock turn in 26 minutes? =
  6. 6.How many degrees does the minute hand of a clock turn in 59 minutes? =
  7. 7.A clock shows 6:45. What time will it show 116 minutes later? (a) 8:31 (b) 8:41 (c) 8:51 (d) 9:41
  8. 8.What is the smaller angle between the hour hand and the minute hand at 6:38? (in degrees) =
  9. 9.A clock shows 9:08. What time will it show 154 minutes later? (a) 11:52 (b) 12:42 (c) 11:42 (d) 11:32
  10. 10.How many degrees does the minute hand of a clock turn in 44 minutes? =
  11. 11.What is the smaller angle between the hour hand and the minute hand at 10:04? (in degrees) =
  12. 12.How many degrees does the hour hand of a clock turn in 88 minutes? =
  13. 13.What is the smaller angle between the hour hand and the minute hand at 12:26? (in degrees) =
  14. 14.What is the smaller angle between the hour hand and the minute hand at 7:06? (in degrees) =
  15. 15.What is the smaller angle between the hour hand and the minute hand at 3:15? (in degrees) =
  16. 16.How many degrees does the minute hand of a clock turn in 17 minutes? =
  17. 17.How many degrees does the minute hand of a clock turn in 15 minutes? =
  18. 18.A clock shows 10:38. What time will it show 120 minutes later? (a) 1:38 (b) 12:48 (c) 12:28 (d) 12:38
  19. 19.How many degrees does the hour hand of a clock turn in 50 minutes? =
  20. 20.A clock shows 10:34. What time will it show 157 minutes later? (a) 1:21 (b) 1:01 (c) 1:11 (d) 2:11
  21. 21.How many degrees does the hour hand of a clock turn in 11 minutes? =
  22. 22.What is the smaller angle between the hour hand and the minute hand at 2:20? (in degrees) =
  23. 23.A clock shows 11:02. What time will it show 166 minutes later? (a) 1:38 (b) 1:48 (c) 1:58 (d) 2:48
  24. 24.How many degrees does the hour hand of a clock turn in 35 minutes? =
  25. 25.What is the smaller angle between the hour hand and the minute hand at 11:57? (in degrees) =
  26. 26.What is the smaller angle between the hour hand and the minute hand at 5:02? (in degrees) =
  27. 27.How many degrees does the hour hand of a clock turn in 105 minutes? =
  28. 28.How many degrees does the minute hand of a clock turn in 9 minutes? =
  29. 29.A clock shows 7:34. What time will it show 14 minutes later? (a) 7:38 (b) 8:48 (c) 7:58 (d) 7:48
  30. 30.A clock shows 1:19. What time will it show 53 minutes later? (a) 3:12 (b) 2:22 (c) 2:12 (d) 2:02
  31. 31.What is the smaller angle between the hour hand and the minute hand at 1:34? (in degrees) =
  32. 32.How many degrees does the hour hand of a clock turn in 83 minutes? =
  33. 33.What is the smaller angle between the hour hand and the minute hand at 9:25? (in degrees) =
  34. 34.What is the smaller angle between the hour hand and the minute hand at 4:01? (in degrees) =
  35. 35.A clock shows 11:05. What time will it show 39 minutes later? (a) 11:34 (b) 11:54 (c) 11:44 (d) 12:44
  36. 36.A clock shows 7:53. What time will it show 22 minutes later? (a) 8:05 (b) 9:15 (c) 8:15 (d) 8:25
  37. 37.What is the smaller angle between the hour hand and the minute hand at 7:50? (in degrees) =
  38. 38.How many degrees does the hour hand of a clock turn in 95 minutes? =
  39. 39.A clock shows 10:01. What time will it show 55 minutes later? (a) 11:56 (b) 10:56 (c) 10:46 (d) 11:06
  40. 40.How many degrees does the hour hand of a clock turn in 177 minutes? =

Answer key

  1. 4.5
  2. 78
  3. 10:09
  4. 270
  5. 156
  6. 354
  7. 8:41
  8. 29
  9. 11:42
  10. 264
  11. 82
  12. 44
  13. 143
  14. 177
  15. 7.5
  16. 102
  17. 90
  18. 12:38
  19. 25
  20. 1:11
  21. 5.5
  22. 50
  23. 1:48
  24. 17.5
  25. 16.5
  26. 139
  27. 52.5
  28. 54
  29. 7:48
  30. 2:12
  31. 157
  32. 41.5
  33. 132.5
  34. 114.5
  35. 11:44
  36. 8:15
  37. 65
  38. 47.5
  39. 10:56
  40. 88.5

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