MAP 7th Grade Math : Geometry

Study concepts, example questions & explanations for MAP 7th Grade Math

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Example Questions

Example Question #1 : Map 7th Grade Math

What is the area of the circle provided? 


6

Possible Answers:

\displaystyle 1\textup,023\pi\textup{ in}^2

\displaystyle 1\textup,024\pi\textup{ in}^2

\displaystyle 1\textup,026\pi\textup{ in}^2

\displaystyle 1\textup,025\pi\textup{ in}^2

Correct answer:

\displaystyle 1\textup,024\pi\textup{ in}^2

Explanation:

In order to solve this problem, we need to recall the formula for the area of a circle: 

\displaystyle A= r^2\pi

The circle in this question provides us with the radius, so we can use the formula to solve:

\displaystyle A=32^2\pi

Solve:

\displaystyle A=1\textup,024\pi\textup{ in}^2

Example Question #2 : Map 7th Grade Math

The figure represents a set of complementary angles, solve for \displaystyle x.


4

Possible Answers:

\displaystyle 70^\circ

\displaystyle 69^\circ

\displaystyle 68^\circ

\displaystyle 71^\circ

Correct answer:

\displaystyle 70^\circ

Explanation:

Complementary angles are defined as two angles that when added together equal \displaystyle 90^\circ

From the question, we know that the two angles are complimentary, and thus equal \displaystyle 90^\circ, so we can set up the following equation:

\displaystyle x+20=90

Next we can solve for \displaystyle x:

\displaystyle \frac{\begin{array}[b]{r}x+20=90\\ -20-20\end{array}}{x= 70}

Example Question #3 : Map 7th Grade Math

Calculate the volume of the provided figure.


8

Possible Answers:

\displaystyle 213\textup{ in}^3

\displaystyle 215\textup{ in}^3

\displaystyle 216\textup{ in}^3

\displaystyle 214\textup{ in}^3

Correct answer:

\displaystyle 216\textup{ in}^3

Explanation:

In order to solve this problem, we need to recall the volume formula for a cube:

\displaystyle V=l\times w\times h

Now that we have the correct formula, we can substitute in our known values and solve: 

\displaystyle V=6\times6\times6

\displaystyle V=216\textup{ in}^3

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