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ISEE Middle Level Math : ISEE Middle Level (grades 7-8) Mathematics Achievement

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

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All ISEE Middle Level Math Resources

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

Example Questions

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 #1 : How To Find The Area Of A Parallelogram

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 #221 : Geometry

Which of the following is a vertex of the square?

Question_12

Possible Answers:

$\small (2,4)$

$\small (-1,-4)$

$\small (-1,2)$

$\small (1,-4)$

$\small (-2,1)$

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 #2 : How To Do Coordinate Geometry

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

Possible Answers:

(0,-30)

(-30,30)

(30,30)

(30,-30)

(30, 0)

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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Example Question #3 : How To Do Coordinate Geometry

Which of the following points is on the -axis?

Possible Answers:

(20,1)

(10,10)

(0,20)

(20,0)

(0,10)

Correct answer:

(20,0)

Explanation:

A point is located on the -axis if and only if it has a -coordinate equal to zero. So the answer is (20,0) .

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Example Question #282 : Geometry

A line segment on the coordinate plane has its endpoints at the points with coordinates (7.32, -3. 16) and (10, 10) . Give the midpoint of the segment.

Possible Answers:

(8.66, 6.84)

(8.66, 3.42 )

(2.68, 6.84)

(2.68 , 3.42 )

Correct answer:

(8.66, 3.42 )

Explanation:

The -coordinate of the midpoint can be found by dividing the sum of the -coordinates of the endpoints by 2:

$(7.32 + 10) \div 2 = 17.32 \div 2 = 8.66$

The -coordinate of the midpoints is found similarly:

$(-3.16 + 10) \div 2 =(10 -3.16 ) \div 2 = 6.84 \div 2 = 3.42$

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Example Question #1 : Coordinate Geometry

A line segment on the coordinate plane has its endpoints at the points with coordinates $\left ( - 300, 200 \right )$ and $\left ( -200, 300 \right )$ . Give the coordinates of the midpoint of the segment.

Possible Answers:

(-100, 100 )

(-50, 50)

(-250, 250)

(-500, 500)

Correct answer:

(-250, 250)

Explanation:

The -coordinate of the midpoint can be found by dividing the sum of the -coordinates of the endpoints by 2:

$[ -300 + (-200) ] \div 2 = [ -(300 + 200) ] \div 2 = -500 \div 2 = - (500 \div 2) = -250$

The -coordinate of the midpoint is found similarly:

$(200 + 300) \div 2 = 500 \div 2 = 250$ .

The correct response is (-250, 250) .

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Example Question #284 : Geometry

A line segment on the coordinate plane has its endpoints at the points with coordinates $\left ( 3 \frac{1}{3}, - 1 \frac{1}{2}\right )$ and $\left ( 10, 5 \frac{1}{4}\right )$ . Give the coordinates of the midpoint of the segment.

Possible Answers:

$\left (6 \frac{2}{3}, 1 \frac{7}{8}\right )$

$\left ( 3 \frac{1}{3}, 3 \frac{3}{8}\right )$

$\left (6 \frac{2}{3}, 6 \frac{3}{4}\right )$

$\left (13 \frac{1}{3}, 3 \frac{3}{4}\right )$

Correct answer:

$\left (6 \frac{2}{3}, 1 \frac{7}{8}\right )$

Explanation:

The -coordinate of the midpoint is half the sum of the -coordinates of the endpoints:

$\frac{1}{2} \times \left ( 3 \frac{1}{3} + 10 \right )$

$= \frac{1}{2} \times 13 \frac{1}{3}$

$= \frac{1}{2} \times \frac{40}{3}$

$= \frac{1}{1} \times \frac{20}{3}$

$= \frac{20}{3}$

$= 6 \frac{1}{3}$

The -coordinate of the midpoint is found similarly:

$\frac{1}{2} \times \left ( - 1 \frac{1}{2} + 5 \frac{1}{4} \right )$

$= \frac{1}{2} \times \left ( 5 \frac{1}{4} - 1 \frac{1}{2} \right )$

$= \frac{1}{2} \times \left ( 5 \frac{1}{4} - 1 \frac{2}{4} \right )$

$= \frac{1}{2} \times \left ( 4 \frac{5}{4} - 1 \frac{2}{4} \right )$

$= \frac{1}{2} \times 3 \frac{3}{4}$

$= \frac{1}{2} \times \frac{15}{4}$

$= \frac{ 15}{8}$

$=1 \frac{7}{8}$

The correct response is $\left (6 \frac{2}{3}, 1 \frac{7}{8}\right )$ .

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

Angela plotted points A through E on the coordinate plane shown below.

Points_grid

Which point is located at the ordered pair (2, 8)?

Possible Answers:

Point C

Point D

Point B

Point A

Point E

Correct answer:

Point B

Explanation:

Start at point (0, 0) in the bottom, left corner of the the coordinate plane. From there, count right 2 spaces. This is the first number in the given ordered pair. From that point, count up 8 spaces. This is the second number in the given ordered pair.

By moving right 2 and up 8, you should have found Point B.

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All ISEE Middle Level Math Resources

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ISEE Middle Level Math : ISEE Middle Level (grades 7-8) Mathematics Achievement

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

All ISEE Middle Level Math Resources

Example Questions

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

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

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

Example Question #221 : Geometry

Example Question #2 : How To Do Coordinate Geometry

Example Question #3 : How To Do Coordinate Geometry

Example Question #282 : Geometry

Example Question #1 : Coordinate Geometry

Example Question #284 : Geometry

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

All ISEE Middle Level Math Resources

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