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ISEE Middle Level Math : Geometry

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6 Diagnostic Tests 303 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #3 : How To Find The Perimeter Of A Parallelogram

If a parallelogram has side lengths of and , what is the perimeter?

Possible Answers:

Correct answer:

Explanation:

The perimeter of a parallelogram is two times the two side lengths and add them together.

$\\P=s_1+s_2+s_3+s_4 \\s_1=s_3 \\s_2=s_4 \\P=s_a+s_a+s_b+s_b \\P=2s_a+2s_b$

Therefore, this particular problem becomes as follows.

2*7=14

and

2*3=6

14+6=20 .

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Example Question #1303 : Concepts

Parallelogram

Note: Figure NOT drawn to scale.

$a = 18\; \textrm{in} ,b=26\; \textrm{in},h=12\; \textrm{in}$ , where and represent side lengths of the parallelogram and represents the height.

Find the perimeter of the parallelogram in the diagram.

Possible Answers:

$88 \;\textup{in}$

$76 \;\textup{in}$

$44 \;\textup{in}$

$60 \;\textup{in}$

$46 \;\textup{in}$

Correct answer:

$88 \;\textup{in}$

Explanation:

The perimeter of the parallelogram is the sum of the four side lengths - here, that formula becomes

P = a + b + a + b = 18 + 26 + 18 + 26 = 88 .

Note that the height is irrelevant to the answer.

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Example Question #1 : Parallelograms

Find the area of the following parallelogram:

Note: The formula for the area of a parallelogram is $A=b\times h$ .

Possible Answers:

$50\: in^2$

$30\: in^2$

$60\: in^2$

$32\: in^2$

Correct answer:

$50\: in^2$

Explanation:

The base of the parallelogram is 10, while the height is 5.

$A=b\times h$

$A=10\times5=50\: in^2$

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Example Question #1 : How To Find The Area Of A Parallelogram

Find the area:

Question_5

Possible Answers:

$\small 12$

$\small 32$

$\small 16$

$\small 24$

Correct answer:

$\small 24$

Explanation:

The area of a parallelogram can be determined using the following equation:

$\small A=bh$

Therefore,

$\small A=8\times3=24$

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Example Question #1 : How To Find The Area Of A Parallelogram

You can solve the area of a parallelogram when you know the lengths of each of the sides. True or False?

Possible Answers:

TRUE

FALSE

Correct answer:

FALSE

Explanation:

The area of a parallelogram is found by computing base * height . In this situation, you would have the base which is the bottom side but you would not have the height measurement. Since you would not be able to solve for the area with just the side lengths, the statement is FALSE .

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Example Question #2 : How To Find The Area Of A Parallelogram

If a parallelogram has side lengths of and , what is the area?

Possible Answers:

Cannot be determined.

Correct answer:

Cannot be determined.

Explanation:

To find the area of a parallelogram, you use the formula,

A=base*height .

Since the height in this problem is not known, you cannot solve for area.

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Example Question #3 : How To Find The Area Of A Parallelogram

Find the area of a parallelogram with a base of 6 inches and a height of 9 inches.

Possible Answers:

$27\text{in}$

$54\text{in}^2$

$27\text{in}^2$

$54\text{in}$

$30\text{in}^2$

Correct answer:

$54\text{in}^2$

Explanation:

To find the area of a parallelogram, we will use the following formula:

$\text{area of a parallelogram} = b \cdot h$

where b is the base and h is the height of the parallelogram.

Now, we know the base has a length of 6 inches. We also know it has a height of 9 inches. Knowing this, we can substitute into the formula. We get

$\text{area of a parallelogram} = 6\text{in} \cdot 9\text{in}$

$\text{area of a parallelogram} = 54\text{in}^2$

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Example Question #2 : Parallelograms

Find the area of the parallelogram with a base length of 6 and a height of 15.

Possible Answers:

Correct answer:

Explanation:

Write the area formula of a parallelogram.

A=bh

Substitute the dimensions into the formula.

A=6(15) = 90

The answer is:

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Example Question #1 : How To Find A Square On A Coordinate Plane

Which of the following is a vertex of the square?

Question_12

Possible Answers:

$\small (-2,1)$

$\small (-1,-4)$

$\small (-1,2)$

$\small (2,4)$

$\small (1,-4)$

Correct answer:

$\small (-1,2)$

Explanation:

The coordinates of a point are determined by the distance from the origin. The first point in the ordered pair is the number of units to the left or right of the origin. Negative numbers indicate the number of units to the left while positive numbers indicate the number of units to the right. The second number indicates the number of units above or below the origin. Positive numbers indicate the number of units above while negative numbrs indicate the number of units below the origin. The vertices of the square are:
$\small (-1,2); (-1,4); (1,2); (-1,4)$

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Example Question #1 : How To Find The Points On A Coordinate Plane

Which of the following points will you find on the -axis?

Possible Answers:

(-30,30)

(30,30)

(0,-30)

(30, 0)

(30,-30)

Correct answer:

(0,-30)

Explanation:

A point is located on the -axis if and only if it has -coordinate (first coordinate) 0. Of the five choices, only (0,-30) fits that description.

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All ISEE Middle Level Math Resources

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ISEE Middle Level Math : Geometry

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

All ISEE Middle Level Math Resources

Example Questions

Example Question #3 : How To Find The Perimeter Of A Parallelogram

Example Question #1303 : Concepts

Example Question #1 : Parallelograms

Example Question #1 : How To Find The Area Of A Parallelogram

Example Question #1 : How To Find The Area Of A Parallelogram

Example Question #2 : How To Find The Area Of A Parallelogram

Example Question #3 : How To Find The Area Of A Parallelogram

Example Question #2 : Parallelograms

Example Question #1 : How To Find A Square On A Coordinate Plane

Example Question #1 : How To Find The Points On A Coordinate Plane

All ISEE Middle Level Math Resources

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