SSAT Middle Level Math : SSAT Middle Level Quantitative (Math)

Study concepts, example questions & explanations for SSAT Middle Level Math

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Example Questions

Example Question #10 : How To Find The Perimeter Of A Trapezoid

Measured in units, the bases of a trapezoid are \(\displaystyle 10\) and \(\displaystyle 5\), the lengths are \(\displaystyle 2\), and the height is unknown.  What is the perimeter of the trapezoid in units?

Possible Answers:

Impossible to calculate.

\(\displaystyle 19\)

\(\displaystyle 15\)

\(\displaystyle 10\)

\(\displaystyle 20\)

Correct answer:

\(\displaystyle 19\)

Explanation:

The perimeter is solved by adding the two bases together, \(\displaystyle 10\) and \(\displaystyle 5\), along with both the lengths, \(\displaystyle 4\).

Therefore the equation becomes,

\(\displaystyle 10+5+2+2=19\)

Example Question #191 : Geometry

Measured in units, the bases of a trapezoid are \(\displaystyle 15\) and \(\displaystyle 50\), the lengths are \(\displaystyle 20\), and the height is unknown.  What is the perimeter of the trapezoid in units?

Possible Answers:

\(\displaystyle 45\)

\(\displaystyle 95\)

Impossible to calculate.

\(\displaystyle 105\)

\(\displaystyle 80\)

Correct answer:

\(\displaystyle 105\)

Explanation:

The perimeter is solved by adding the two bases together, \(\displaystyle 15\) and \(\displaystyle 50\), along with both the lengths, \(\displaystyle 40\).

Therefore the equation becomes,

\(\displaystyle 15+50+20+20=105\)

Example Question #381 : Ssat Middle Level Quantitative (Math)

Measured in units, the bases of a trapezoid are \(\displaystyle 50\) and \(\displaystyle 20\), the lengths are \(\displaystyle 20\), and the height is unknown.  What is the perimeter of the trapezoid in units?

Possible Answers:

Impossible to calculate.

\(\displaystyle 110\)

\(\displaystyle 90\)

\(\displaystyle 80\)

\(\displaystyle 100\)

Correct answer:

\(\displaystyle 110\)

Explanation:

The perimeter is solved by adding the two bases together, \(\displaystyle 50\) and \(\displaystyle 20\), along with both the lengths, \(\displaystyle 40\).

Therefore the equation becomes,

\(\displaystyle 50+20+20+20=110\)

Example Question #121 : Quadrilaterals

Measured in units, the bases of a trapezoid are \(\displaystyle 5\) and \(\displaystyle 2\), the lengths are \(\displaystyle 20\), and the height is unknown.  What is the perimeter of the trapezoid in units?

Possible Answers:

\(\displaystyle 27\)

\(\displaystyle 25\)

\(\displaystyle 22\)

Impossible to calculate.

\(\displaystyle 47\)

Correct answer:

\(\displaystyle 47\)

Explanation:

The perimeter is solved by adding the two bases together, \(\displaystyle 5\) and \(\displaystyle 2\), along with both the lengths, \(\displaystyle 40\).

Therefore the equation becomes,

\(\displaystyle 5+2+20+20=47\)

Example Question #194 : Geometry

Measured in units, the bases of a trapezoid are \(\displaystyle 5\) and \(\displaystyle 2\), the lengths are \(\displaystyle 10\), and the height is unknown.  What is the perimeter of the trapezoid in units?

Possible Answers:

\(\displaystyle 22\)

\(\displaystyle 50\)

\(\displaystyle 25\)

Impossible to calculate.

\(\displaystyle 27\)

Correct answer:

\(\displaystyle 27\)

Explanation:

The perimeter is solved by adding the two bases together, \(\displaystyle 5\) and \(\displaystyle 2\), along with both the lengths, \(\displaystyle 20\).

Therefore the equation becomes,

\(\displaystyle 5+2+10+10=27\)

Example Question #151 : Plane Geometry

Measured in units, the bases of a trapezoid are \(\displaystyle 5\) and \(\displaystyle 10\), the lengths are \(\displaystyle 10\), and the height is unknown.  What is the perimeter of the trapezoid in units?

Possible Answers:

\(\displaystyle 35\)

\(\displaystyle 25\)

Impossible to calculate.

\(\displaystyle 20\)

\(\displaystyle 15\)

Correct answer:

\(\displaystyle 35\)

Explanation:

The perimeter is solved by adding the two bases together, \(\displaystyle 5\) and \(\displaystyle 10\), along with both the lengths, \(\displaystyle 20\).

Therefore the equation becomes,

\(\displaystyle 5+10+10+10=35\)

Example Question #383 : Ssat Middle Level Quantitative (Math)

Measured in units, the bases of a trapezoid are \(\displaystyle 10\) and \(\displaystyle 15\), the lengths are \(\displaystyle 10\), and the height is unknown.  What is the perimeter of the trapezoid in units?

Possible Answers:

\(\displaystyle 45\)

\(\displaystyle 35\)

Impossible to calculate

\(\displaystyle 20\)

\(\displaystyle 25\)

Correct answer:

\(\displaystyle 45\)

Explanation:

The perimeter is solved by adding the two bases together, \(\displaystyle 15\) and \(\displaystyle 10\), along with both the lengths, \(\displaystyle 20\).

Therefore the equation becomes,

\(\displaystyle 10+15+10+10=45\)

Example Question #11 : How To Find The Perimeter Of A Trapezoid

Find the perimeter of the trapezoid:
Question_12

Possible Answers:

\(\displaystyle \small 23.5\)

\(\displaystyle \small 21\)

\(\displaystyle \small 26\)

\(\displaystyle \small 40\)

Correct answer:

\(\displaystyle \small 21\)

Explanation:

The perimeter of any shape is equal to the sum of the lengths of its sides:

\(\displaystyle \small P=4+6+3+8=21\)

Example Question #122 : Quadrilaterals

Trapezoid

Find the perimeter of the given trapezoid if \(\displaystyle l=9, h=7, b_{1}=8, b_{2}=10\)

Possible Answers:

\(\displaystyle 34\)

\(\displaystyle 36\)

\(\displaystyle 35\)

\(\displaystyle 43\)

\(\displaystyle 26\)

Correct answer:

\(\displaystyle 36\)

Explanation:

In order to find the perimeter, we must find the sum of the outer edges: 

Trapezoid_labeled

\(\displaystyle 9+8+ 9+10=36\)

Notice that we didn't use height in our calculation. 

Example Question #11 : How To Find The Perimeter Of A Trapezoid

Trapezoid

Find the perimeter of the given trapezoid if \(\displaystyle l=6, h=4, b_{1}=2, b_{2}=5\)

Possible Answers:

\(\displaystyle 19\)

\(\displaystyle 23\)

\(\displaystyle 13\)

\(\displaystyle 17\)

Correct answer:

\(\displaystyle 19\)

Explanation:

In order to find the perimeter, find the sum of the outer edges:

Trapezoid_labeled

\(\displaystyle 6+2+6+5=19\)

Notice that we didn't use height in our calculation. 

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