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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Example Questions

Example Question #52 : Squares

Find the area of a square with a length of 12in.

Possible Answers:

Correct answer:

Explanation:

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

where l is the length and w is the width of the square.

 

Now, we know the length of the square is 12in.  Because it is a square, all sides are equal.  Therefore, the width is also 12in.  So, we can substitute.

Example Question #61 : Squares

Find the area of a square with a width of 5in.

Possible Answers:

Correct answer:

Explanation:

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

where l is the length and w is the width of the square.

 

Now, we know the width of the square is 5in.  Because it is a square, all sides are equal.  Therefore, the length is also 5in.  So, we can substitute.  We get

Example Question #61 : Squares

Find the area of a square with a length of 9in.

Possible Answers:

Correct answer:

Explanation:

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

where l is the length and w is the width of the square.

 

Now, we know the length of the square is 9in.  Because it is a square, all sides are equal.  Therefore, the width is also 9in.  So, we get

Example Question #151 : Geometry

Find the area of a square that has a width of 13in. 

Possible Answers:

Correct answer:

Explanation:

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

where l is the length and w is the width of the square.

 

Now, we know the width of the square is 13in.  Because it is a square, all sides are equal.  Therefore, the length is also 13in.

Knowing this, we can substitute into the formula.  We get

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

What is the area of a rectangle with length  and width ?

Possible Answers:

Correct answer:

Explanation:

The formula for the area, , of a rectangle when we are given its length, , and width, , is .

To calculate this area, just multiply the two terms.

Example Question #321 : Ssat Middle Level Quantitative (Math)

Order the following from least area to greatest area:

Figure A: A rectangle with length 10 inches and width 14 inches.

Figure B: A square with side length 1 foot.

Figure C: A triangle with base 16 inches and height 20 inches.

Possible Answers:

Correct answer:

Explanation:

Figure A has area  square inches.

Figure B has area  square inches, 1 foot being equal to 12 inches.

Figure C has area  square inches.

The figures, arranged from least area to greatest, are A, B, C.

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

Prism

Give the surface area of the above box in square inches.

Possible Answers:

Correct answer:

Explanation:

Use the surface area formula, substituting  :

 square inches

Example Question #161 : Geometry

The area of the following rectangle is . Solve for .

Isee_mid_question_4

 

Possible Answers:

Correct answer:

Explanation:

The area of a rectangle can be found by multiplying the length by the width.

Example Question #322 : Ssat Middle Level Quantitative (Math)

Rectangle

Give the area of the above rectangle in square feet.

Possible Answers:

Correct answer:

Explanation:

Since 1 yard = 3 feet, multiply each dimension by 3 to convert from yards to feet:

Use the area formula, substituting :

 square feet

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

The ratio of the perimeter of one square to that of another square is . What is the ratio of the area of the first square to that of the second square?

Possible Answers:

Correct answer:

Explanation:

For the sake of simplicity, we will assume that the second square has sidelength 1; Then its perimeter is , and its area is .

The perimeter of the first square is  , and its sidelength is . The area of this square is therefore .

The ratio of the areas is therefore .

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