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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 443 · 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 1:25? (in degrees) =
  2. 2.How many degrees does the minute hand of a clock turn in 35 minutes? =
  3. 3.What is the smaller angle between the hour hand and the minute hand at 9:11? (in degrees) =
  4. 4.How many degrees does the hour hand of a clock turn in 20 minutes? =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 7:25? (in degrees) =
  6. 6.What is the smaller angle between the hour hand and the minute hand at 4:08? (in degrees) =
  7. 7.A clock shows 12:09. What time will it show 128 minutes later? (a) 2:07 (b) 2:27 (c) 3:17 (d) 2:17
  8. 8.How many degrees does the minute hand of a clock turn in 37 minutes? =
  9. 9.A clock shows 9:34. What time will it show 157 minutes later? (a) 12:01 (b) 12:21 (c) 12:11 (d) 1:11
  10. 10.A clock shows 3:20. What time will it show 43 minutes later? (a) 4:13 (b) 5:03 (c) 4:03 (d) 3:53
  11. 11.What is the smaller angle between the hour hand and the minute hand at 7:08? (in degrees) =
  12. 12.A clock shows 5:36. What time will it show 113 minutes later? (a) 7:29 (b) 7:39 (c) 8:29 (d) 7:19
  13. 13.How many degrees does the hour hand of a clock turn in 113 minutes? =
  14. 14.What is the smaller angle between the hour hand and the minute hand at 6:27? (in degrees) =
  15. 15.A clock shows 9:11. What time will it show 90 minutes later? (a) 10:51 (b) 10:41 (c) 10:31 (d) 11:41
  16. 16.A clock shows 6:45. What time will it show 22 minutes later? (a) 8:07 (b) 7:17 (c) 7:07 (d) 6:57
  17. 17.How many degrees does the hour hand of a clock turn in 34 minutes? =
  18. 18.How many degrees does the minute hand of a clock turn in 39 minutes? =
  19. 19.How many degrees does the hour hand of a clock turn in 36 minutes? =
  20. 20.What is the smaller angle between the hour hand and the minute hand at 4:41? (in degrees) =
  21. 21.A clock shows 8:21. What time will it show 141 minutes later? (a) 10:32 (b) 10:42 (c) 11:42 (d) 10:52
  22. 22.How many degrees does the hour hand of a clock turn in 170 minutes? =
  23. 23.A clock shows 9:30. What time will it show 88 minutes later? (a) 10:58 (b) 10:48 (c) 11:58 (d) 11:08
  24. 24.What is the smaller angle between the hour hand and the minute hand at 11:01? (in degrees) =
  25. 25.How many degrees does the minute hand of a clock turn in 21 minutes? =
  26. 26.What is the smaller angle between the hour hand and the minute hand at 6:46? (in degrees) =
  27. 27.What is the smaller angle between the hour hand and the minute hand at 12:49? (in degrees) =
  28. 28.What is the smaller angle between the hour hand and the minute hand at 8:44? (in degrees) =
  29. 29.What is the smaller angle between the hour hand and the minute hand at 11:17? (in degrees) =
  30. 30.What is the smaller angle between the hour hand and the minute hand at 5:03? (in degrees) =
  31. 31.How many degrees does the hour hand of a clock turn in 166 minutes? =
  32. 32.How many degrees does the minute hand of a clock turn in 48 minutes? =
  33. 33.What is the smaller angle between the hour hand and the minute hand at 5:49? (in degrees) =
  34. 34.What is the smaller angle between the hour hand and the minute hand at 5:25? (in degrees) =
  35. 35.What is the smaller angle between the hour hand and the minute hand at 12:08? (in degrees) =
  36. 36.How many degrees does the minute hand of a clock turn in 30 minutes? =
  37. 37.A clock shows 7:04. What time will it show 157 minutes later? (a) 9:41 (b) 9:31 (c) 10:41 (d) 9:51
  38. 38.A clock shows 9:20. What time will it show 139 minutes later? (a) 11:39 (b) 11:49 (c) 12:39 (d) 11:29
  39. 39.What is the smaller angle between the hour hand and the minute hand at 4:32? (in degrees) =
  40. 40.A clock shows 9:34. What time will it show 31 minutes later? (a) 9:55 (b) 10:05 (c) 11:05 (d) 10:15

Answer key

  1. 107.5
  2. 210
  3. 150.5
  4. 10
  5. 72.5
  6. 76
  7. 2:17
  8. 222
  9. 12:11
  10. 4:03
  11. 166
  12. 7:29
  13. 56.5
  14. 31.5
  15. 10:41
  16. 7:07
  17. 17
  18. 234
  19. 18
  20. 105.5
  21. 10:42
  22. 85
  23. 10:58
  24. 35.5
  25. 126
  26. 73
  27. 90.5
  28. 2
  29. 123.5
  30. 133.5
  31. 83
  32. 288
  33. 119.5
  34. 12.5
  35. 44
  36. 180
  37. 9:41
  38. 11:39
  39. 56
  40. 10:05

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