MCAS 2002, 10th Grade Math, Questions 21 to 24

Click here for a PDF version of this set of questions. The PDF format may offer a clearer version when you print these pages (requires the free Adobe Acrobat Reader). Your printer may also be able to print directly from the version which is now appearing on your computer screen.

Question #21 (Open-Response Question)

Alex wanted to find a pattern to predict the total number of diagonals in a convex polygon. He used each of the figures below to determine the number of diagonals in the 4-sided convex polygon and the 5-sided convex polygon shown below.

a. Create a table like the one shown below in your Student Answer Booklet. Complete the table to show the relationship between the number of sides, the number of diagonals drawn from each vertex, and the total number of diagonals in each of the convex polygons listed.

b. What is the total number of diagonals that a convex polygon of 12 sides has?

c. Write an expression which represents the number of diagonals that a convex polygon of n sides has.

Question #22

The rectangle shown below has a width of 2.5 feet and a perimeter of 13 feet.

What is the area of the rectangle?

A. 4 square feet

B. 8 square feet

C. 10 square feet

D. 10.5 square feet

Question #23

Isaac is going to draw triangle STU on the grid shown below so that it is congruent to triangle PQR.

He located point S at (-1, 0) and point T at (-4, 4). Which of the following coordinates represents a possible location for point U?

A. (-3, 6)

B. (-3, 7)

C. (-4, 3)

D. (-4, 7)

Question #24

An important formula in statistics is

Which of the following represents this equation solved for x in terms of z, m, and j?

Go to another week's questions
Return to AchievementInfo.Com Home Page