MCQ in Plane Geometry Part 1 Answer Key | Mathematics Board Exam

MCQ in Plane Geometry Part 1 Answer Key | Mathematics Board Exam

You have worked through Part 1 of the Plane Geometry MCQ Series. Now this is where the real review begins.

This answer key covers every item in the first set, compiled from past board exam problems, engineering mathematics textbooks, academic journals, and other references that have helped serious reviewees prepare for the Mathematics section of the board exam. The answers are here to do more than confirm what you got right. They are here to show you exactly where your understanding holds up and where it still needs work.

Plane geometry has a way of feeling easier than it actually is. The figures look familiar, the concepts seem basic, and then the exam asks something just slightly different from what you expected and the answer slips away. That is why checking your work carefully matters more than just tallying your score.

For every item you got wrong, go back to the question and work through the correct solution from the beginning. Do not just read the answer and accept it. Understand the reasoning behind it. Figure out where your thinking went off and what you need to correct before the next set.

If you came here without attempting the questions first, go back to Part 1 and do the work. The answer key only helps if you have already wrestled with the problems on your own.

Check everything. Learn from every mistake. Then carry that into Part 2.

1. B. 2

Solution: Find the angle in mils subtended by a line 10 yards long

2. A. 335.10 km

Solution: Find the distance along a 3 degree arc at the equator

3. C. 18.85 cm

Solution: If the radius of the circle is 45 cm, find the length of arc

4. D. 995

Solution: Calculate for the linear cm that the rat was carried by the bucket

5. A. 1.26 m

Solution: Find the length of the major arc CD

6. A. 67.5°

Solution: A certain angle has a supplement 5 times its complement

7. B. 150°

Solution: What is the value of each angle of a regular dodecagon?

8. D. 8

Solution: How many sides has a polygon?

9. C. 5

Solution: Find the number of sides of a polygon

10. D. 180°

Solution: Find the sum of the interior angles of the vertices of a five pointed star

11. B. 24

Solution: How many sides are in a polygon if each interior angle is 165°

12. B. 170

Solution: How many diagonals are there in a polygon of 20 sides?

13. B. 120°

Solution: Find each interior angle of a hexagon

14. B. 27 m

Solution: Given a triangle, C = 100°, A = 15 m, B = 20 m. Find C.

15. D. 30.1 m

Solution: What is the length of the side opposite angle A?

16. A. 36.3 m

Solution: What is the length of the median drawn from vertex A to side BC?

17. C. 19.95 m

Solution: What is the length of one side of a triangle?

18. C. 2.45 cm

Solution: Determine the radius of the inscribed circle in a triangle

19. A. 12.73 m

Solution: What is the radius of the circle circumscribing an isosceles?

20. A. 7.14 cm

Solution: Determine the radius of the circumscribing circle of a triangle

21. D. 86.38°

Solution: What is the interior angle opposite the longest side of a triangle?

22. A. 1.76 cm

Solution: Find the width of the border of a circle

23. B. 33.52 in.

Solution: The area of a circle is 89.42 sq. inches. What is its circumference?

24. C. 150°

Solution: Find the angle AED of a square

25. D. 105.25

Solution: What is the area of the triangle in sq. m?

26. A. 104.7

Solution: What is the area of the circle circumscribed?

27. D. 14 cm

Solution: Find the third side of the triangle inscribed in a circle

28. B. 181.5 m

Solution: What is the length of the longest side of a triangle?

29. C. 58.9

Solution: What is the area of the sector in sq. cm?

30. B. 31 cm²

Solution: If the radius of the circle is 13 cm, find the area of the smallest part

31. C. 64π

Solution: What is the area of the largest circle?

32. B. 13.5

Solution: What is the area of the sector in square units?

33. B. 363.68 sq. m

Solution: Compute the area of the bigger segment created by a chord

34. D. 410 m²

Solution: Find the area of the swimming pool

35. C. 173.5 cm²

Solution: Find the difference of the area of the square

36. C. 22.5 cm²

Solution: Find the length of the fold of a rectangle

37. D. 16, 20

Solution: What are the lengths of the bases of a trapezoid?

38. C. 320 in²

Solution: Find the area of a rhombus given diagonals

39. C. 10.73

Solution: Find the length of the shorter diagonal of a parallelogram

40. B. 100 sq. m

Solution: Find the area of a quadrilateral given the sides

41. A. 2721.66 cm²

Solution: Determine the area of the quadrilateral shown

42. C. 168 m²

Solution: Find the area of the quadrilateral

43. C. 2.598

Solution: Find the area of a regular hexagon inscribed in a circle of radius 1?

44. A. 283

Solution: Find the area of a regular octagon inscribed in a circle

45. D. 54. 36 sq. m

Solution: Find the area of the 6 segments of the circle formed

46. A. 1075 m²

Solution: Find the area of a regular pentagon given side and apothem

47. B. 5.335 in.

Solution: What is the length of the side of a regular hexagon?

48. C. 50.5 sq. m

Solution: What is the area of the circle not covered by the star?

49. D. 516.14 cm³

Solution: Determine the area inside and concentric to the larger pentagon

50. C. 519.60 cm²

Solution: Determine the area of a regular 6-star polygon

Online Question and Answer in Plane Geometry Series

Following is the list of practice exam test questions in this brand new series: