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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 125 · 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 30 minutes? =
  2. 2.What is the smaller angle between the hour hand and the minute hand at 9:38? (in degrees) =
  3. 3.How many degrees does the hour hand of a clock turn in 124 minutes? =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 4:17? (in degrees) =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 9:41? (in degrees) =
  6. 6.What is the smaller angle between the hour hand and the minute hand at 7:14? (in degrees) =
  7. 7.How many degrees does the hour hand of a clock turn in 12 minutes? =
  8. 8.A clock shows 9:44. What time will it show 19 minutes later? (a) 10:03 (b) 9:53 (c) 10:13 (d) 11:03
  9. 9.How many degrees does the hour hand of a clock turn in 65 minutes? =
  10. 10.A clock shows 3:12. What time will it show 48 minutes later? (a) 4:00 (b) 3:50 (c) 4:10 (d) 5:00
  11. 11.What is the smaller angle between the hour hand and the minute hand at 2:24? (in degrees) =
  12. 12.What is the smaller angle between the hour hand and the minute hand at 3:14? (in degrees) =
  13. 13.A clock shows 3:31. What time will it show 33 minutes later? (a) 4:04 (b) 4:14 (c) 3:54 (d) 5:04
  14. 14.What is the smaller angle between the hour hand and the minute hand at 1:45? (in degrees) =
  15. 15.How many degrees does the hour hand of a clock turn in 91 minutes? =
  16. 16.A clock shows 3:44. What time will it show 104 minutes later? (a) 5:18 (b) 5:28 (c) 5:38 (d) 6:28
  17. 17.How many degrees does the hour hand of a clock turn in 38 minutes? =
  18. 18.What is the smaller angle between the hour hand and the minute hand at 12:40? (in degrees) =
  19. 19.A clock shows 8:02. What time will it show 66 minutes later? (a) 10:08 (b) 8:58 (c) 9:08 (d) 9:18
  20. 20.What is the smaller angle between the hour hand and the minute hand at 2:15? (in degrees) =
  21. 21.What is the smaller angle between the hour hand and the minute hand at 1:05? (in degrees) =
  22. 22.How many degrees does the hour hand of a clock turn in 177 minutes? =
  23. 23.How many degrees does the minute hand of a clock turn in 8 minutes? =
  24. 24.What is the smaller angle between the hour hand and the minute hand at 4:54? (in degrees) =
  25. 25.A clock shows 6:19. What time will it show 98 minutes later? (a) 8:57 (b) 8:07 (c) 7:57 (d) 7:47
  26. 26.How many degrees does the minute hand of a clock turn in 15 minutes? =
  27. 27.What is the smaller angle between the hour hand and the minute hand at 12:18? (in degrees) =
  28. 28.What is the smaller angle between the hour hand and the minute hand at 3:31? (in degrees) =
  29. 29.How many degrees does the hour hand of a clock turn in 56 minutes? =
  30. 30.How many degrees does the minute hand of a clock turn in 45 minutes? =
  31. 31.How many degrees does the minute hand of a clock turn in 51 minutes? =
  32. 32.How many degrees does the minute hand of a clock turn in 57 minutes? =
  33. 33.A clock shows 11:50. What time will it show 51 minutes later? (a) 1:41 (b) 12:31 (c) 12:41 (d) 12:51
  34. 34.What is the smaller angle between the hour hand and the minute hand at 10:17? (in degrees) =
  35. 35.A clock shows 7:38. What time will it show 46 minutes later? (a) 9:24 (b) 8:24 (c) 8:34 (d) 8:14
  36. 36.How many degrees does the minute hand of a clock turn in 19 minutes? =
  37. 37.A clock shows 2:05. What time will it show 52 minutes later? (a) 3:57 (b) 2:47 (c) 3:07 (d) 2:57
  38. 38.What is the smaller angle between the hour hand and the minute hand at 10:27? (in degrees) =
  39. 39.A clock shows 1:41. What time will it show 132 minutes later? (a) 3:43 (b) 4:03 (c) 4:53 (d) 3:53
  40. 40.A clock shows 6:04. What time will it show 48 minutes later? (a) 7:52 (b) 6:52 (c) 6:42 (d) 7:02

Answer key

  1. 180
  2. 61
  3. 62
  4. 26.5
  5. 44.5
  6. 133
  7. 6
  8. 10:03
  9. 32.5
  10. 4:00
  11. 72
  12. 13
  13. 4:04
  14. 142.5
  15. 45.5
  16. 5:28
  17. 19
  18. 140
  19. 9:08
  20. 22.5
  21. 2.5
  22. 88.5
  23. 48
  24. 177
  25. 7:57
  26. 90
  27. 99
  28. 80.5
  29. 28
  30. 270
  31. 306
  32. 342
  33. 12:41
  34. 153.5
  35. 8:24
  36. 114
  37. 2:57
  38. 151.5
  39. 3:53
  40. 6:52

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