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MAP 7th Grade Math : Geometry

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

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Example Questions

Example Question #1 : Geometry

What is the area of the circle provided?

Possible Answers:

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

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

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

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

Correct answer:

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

Explanation:

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

$A= r^2\pi$ $\displaystyle A= r^2\pi$

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

$A=32^2\pi$ $\displaystyle A=32^2\pi$

Solve:

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

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Example Question #2 : Geometry

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

Possible Answers:

$71^\circ$ $\displaystyle 71^\circ$

$69^\circ$ $\displaystyle 69^\circ$

$70^\circ$ $\displaystyle 70^\circ$

$68^\circ$ $\displaystyle 68^\circ$

Correct answer:

$70^\circ$ $\displaystyle 70^\circ$

Explanation:

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

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

x+20=90 $\displaystyle x+20=90$

Next we can solve for $\displaystyle x$:

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

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Example Question #3 : Geometry

Calculate the volume of the provided figure.

Possible Answers:

$214\textup{ in}^3$ $\displaystyle 214\textup{ in}^3$

$216\textup{ in}^3$ $\displaystyle 216\textup{ in}^3$

$215\textup{ in}^3$ $\displaystyle 215\textup{ in}^3$

$213\textup{ in}^3$ $\displaystyle 213\textup{ in}^3$

Correct answer:

$216\textup{ in}^3$ $\displaystyle 216\textup{ in}^3$

Explanation:

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

$V=l\times w\times h$ $\displaystyle V=l\times w\times h$

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

$V=6\times6\times6$ $\displaystyle V=6\times6\times6$

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

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MAP 7th Grade Math : Geometry

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

All MAP 7th Grade Math Resources

Example Questions

Example Question #1 : Geometry

Example Question #2 : Geometry

Example Question #3 : Geometry

All MAP 7th Grade Math Resources

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