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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 503 · 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 31 minutes? =
  2. 2.How many degrees does the hour hand of a clock turn in 55 minutes? =
  3. 3.A clock shows 2:19. What time will it show 137 minutes later? (a) 4:36 (b) 5:36 (c) 4:26 (d) 4:46
  4. 4.A clock shows 2:46. What time will it show 114 minutes later? (a) 4:50 (b) 5:40 (c) 4:40 (d) 4:30
  5. 5.What is the smaller angle between the hour hand and the minute hand at 9:46? (in degrees) =
  6. 6.What is the smaller angle between the hour hand and the minute hand at 12:27? (in degrees) =
  7. 7.What is the smaller angle between the hour hand and the minute hand at 1:13? (in degrees) =
  8. 8.How many degrees does the hour hand of a clock turn in 93 minutes? =
  9. 9.A clock shows 7:23. What time will it show 95 minutes later? (a) 8:58 (b) 9:58 (c) 8:48 (d) 9:08
  10. 10.How many degrees does the minute hand of a clock turn in 16 minutes? =
  11. 11.A clock shows 9:55. What time will it show 73 minutes later? (a) 11:18 (b) 10:58 (c) 12:08 (d) 11:08
  12. 12.What is the smaller angle between the hour hand and the minute hand at 4:17? (in degrees) =
  13. 13.How many degrees does the minute hand of a clock turn in 29 minutes? =
  14. 14.A clock shows 1:22. What time will it show 11 minutes later? (a) 1:43 (b) 1:23 (c) 1:33 (d) 2:33
  15. 15.How many degrees does the hour hand of a clock turn in 47 minutes? =
  16. 16.How many degrees does the hour hand of a clock turn in 107 minutes? =
  17. 17.What is the smaller angle between the hour hand and the minute hand at 11:51? (in degrees) =
  18. 18.What is the smaller angle between the hour hand and the minute hand at 4:05? (in degrees) =
  19. 19.How many degrees does the hour hand of a clock turn in 126 minutes? =
  20. 20.What is the smaller angle between the hour hand and the minute hand at 11:32? (in degrees) =
  21. 21.What is the smaller angle between the hour hand and the minute hand at 9:18? (in degrees) =
  22. 22.What is the smaller angle between the hour hand and the minute hand at 1:51? (in degrees) =
  23. 23.A clock shows 1:59. What time will it show 23 minutes later? (a) 2:32 (b) 2:22 (c) 3:22 (d) 2:12
  24. 24.What is the smaller angle between the hour hand and the minute hand at 8:37? (in degrees) =
  25. 25.How many degrees does the hour hand of a clock turn in 162 minutes? =
  26. 26.A clock shows 12:33. What time will it show 53 minutes later? (a) 1:36 (b) 1:16 (c) 2:26 (d) 1:26
  27. 27.A clock shows 2:04. What time will it show 93 minutes later? (a) 3:47 (b) 4:37 (c) 3:27 (d) 3:37
  28. 28.What is the smaller angle between the hour hand and the minute hand at 10:51? (in degrees) =
  29. 29.How many degrees does the hour hand of a clock turn in 176 minutes? =
  30. 30.What is the smaller angle between the hour hand and the minute hand at 7:37? (in degrees) =
  31. 31.How many degrees does the hour hand of a clock turn in 29 minutes? =
  32. 32.What is the smaller angle between the hour hand and the minute hand at 5:21? (in degrees) =
  33. 33.What is the smaller angle between the hour hand and the minute hand at 2:38? (in degrees) =
  34. 34.What is the smaller angle between the hour hand and the minute hand at 4:56? (in degrees) =
  35. 35.What is the smaller angle between the hour hand and the minute hand at 11:30? (in degrees) =
  36. 36.How many degrees does the minute hand of a clock turn in 38 minutes? =
  37. 37.What is the smaller angle between the hour hand and the minute hand at 9:58? (in degrees) =
  38. 38.What is the smaller angle between the hour hand and the minute hand at 1:14? (in degrees) =
  39. 39.What is the smaller angle between the hour hand and the minute hand at 11:20? (in degrees) =
  40. 40.What is the smaller angle between the hour hand and the minute hand at 3:18? (in degrees) =

Answer key

  1. 186
  2. 27.5
  3. 4:36
  4. 4:40
  5. 17
  6. 148.5
  7. 41.5
  8. 46.5
  9. 8:58
  10. 96
  11. 11:08
  12. 26.5
  13. 174
  14. 1:33
  15. 23.5
  16. 53.5
  17. 49.5
  18. 92.5
  19. 63
  20. 154
  21. 171
  22. 109.5
  23. 2:22
  24. 36.5
  25. 81
  26. 1:26
  27. 3:37
  28. 19.5
  29. 88
  30. 6.5
  31. 14.5
  32. 34.5
  33. 149
  34. 172
  35. 165
  36. 228
  37. 49
  38. 47
  39. 140
  40. 9

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