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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 692 · 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 32 minutes? =
  2. 2.How many degrees does the hour hand of a clock turn in 29 minutes? =
  3. 3.What is the smaller angle between the hour hand and the minute hand at 12:30? (in degrees) =
  4. 4.How many degrees does the hour hand of a clock turn in 130 minutes? =
  5. 5.A clock shows 7:01. What time will it show 40 minutes later? (a) 7:41 (b) 7:31 (c) 7:51 (d) 8:41
  6. 6.What is the smaller angle between the hour hand and the minute hand at 5:24? (in degrees) =
  7. 7.A clock shows 4:35. What time will it show 91 minutes later? (a) 5:56 (b) 7:06 (c) 6:16 (d) 6:06
  8. 8.How many degrees does the hour hand of a clock turn in 106 minutes? =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 5:26? (in degrees) =
  10. 10.A clock shows 10:07. What time will it show 70 minutes later? (a) 11:17 (b) 11:27 (c) 11:07 (d) 12:17
  11. 11.How many degrees does the hour hand of a clock turn in 173 minutes? =
  12. 12.What is the smaller angle between the hour hand and the minute hand at 1:12? (in degrees) =
  13. 13.A clock shows 4:00. What time will it show 18 minutes later? (a) 4:08 (b) 4:18 (c) 5:18 (d) 4:28
  14. 14.A clock shows 11:53. What time will it show 129 minutes later? (a) 2:12 (b) 2:02 (c) 1:52 (d) 3:02
  15. 15.How many degrees does the hour hand of a clock turn in 45 minutes? =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 9:46? (in degrees) =
  17. 17.What is the smaller angle between the hour hand and the minute hand at 1:20? (in degrees) =
  18. 18.How many degrees does the minute hand of a clock turn in 37 minutes? =
  19. 19.What is the smaller angle between the hour hand and the minute hand at 7:12? (in degrees) =
  20. 20.What is the smaller angle between the hour hand and the minute hand at 12:03? (in degrees) =
  21. 21.What is the smaller angle between the hour hand and the minute hand at 10:35? (in degrees) =
  22. 22.A clock shows 6:10. What time will it show 143 minutes later? (a) 8:43 (b) 9:33 (c) 8:23 (d) 8:33
  23. 23.What is the smaller angle between the hour hand and the minute hand at 11:37? (in degrees) =
  24. 24.How many degrees does the minute hand of a clock turn in 28 minutes? =
  25. 25.How many degrees does the hour hand of a clock turn in 74 minutes? =
  26. 26.How many degrees does the hour hand of a clock turn in 126 minutes? =
  27. 27.How many degrees does the hour hand of a clock turn in 14 minutes? =
  28. 28.What is the smaller angle between the hour hand and the minute hand at 2:02? (in degrees) =
  29. 29.How many degrees does the hour hand of a clock turn in 31 minutes? =
  30. 30.What is the smaller angle between the hour hand and the minute hand at 1:34? (in degrees) =
  31. 31.How many degrees does the hour hand of a clock turn in 146 minutes? =
  32. 32.What is the smaller angle between the hour hand and the minute hand at 10:15? (in degrees) =
  33. 33.How many degrees does the minute hand of a clock turn in 8 minutes? =
  34. 34.A clock shows 3:19. What time will it show 34 minutes later? (a) 3:43 (b) 4:03 (c) 4:53 (d) 3:53
  35. 35.What is the smaller angle between the hour hand and the minute hand at 1:03? (in degrees) =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 12:00? (in degrees) =
  37. 37.A clock shows 6:57. What time will it show 82 minutes later? (a) 8:29 (b) 8:19 (c) 9:19 (d) 8:09
  38. 38.How many degrees does the minute hand of a clock turn in 24 minutes? =
  39. 39.What is the smaller angle between the hour hand and the minute hand at 7:27? (in degrees) =
  40. 40.A clock shows 6:35. What time will it show 16 minutes later? (a) 6:41 (b) 6:51 (c) 7:51 (d) 7:01

Answer key

  1. 192
  2. 14.5
  3. 165
  4. 65
  5. 7:41
  6. 18
  7. 6:06
  8. 53
  9. 7
  10. 11:17
  11. 86.5
  12. 36
  13. 4:18
  14. 2:02
  15. 22.5
  16. 17
  17. 80
  18. 222
  19. 144
  20. 16.5
  21. 107.5
  22. 8:33
  23. 126.5
  24. 168
  25. 37
  26. 63
  27. 7
  28. 49
  29. 15.5
  30. 157
  31. 73
  32. 142.5
  33. 48
  34. 3:53
  35. 13.5
  36. 0
  37. 8:19
  38. 144
  39. 61.5
  40. 6:51

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