ISEE Lower Level Math : ISEE Lower Level (grades 5-6) Mathematics Achievement

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

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Example Questions

Example Question #47 : How To Find The Perimeter Of A Square

What is the perimeter of the square below? 

Screen shot 2015 11 05 at 9.04.50 am

Possible Answers:

\displaystyle 60cm

\displaystyle 100cm

\displaystyle 120cm

\displaystyle 80cm

\displaystyle 40cm

Correct answer:

\displaystyle 80cm

Explanation:

To solve this problem, we need to remember is that a square has four sides of equal length. This means that given one side length, we know all the other side lengths. The formula for perimeter is \displaystyle P=2l+2w, which is the same thing as adding all the side lengths together. 

\displaystyle P=2(20)+2(20) or \displaystyle P=20+20+20+20

\displaystyle P=80cm

Example Question #48 : How To Find The Perimeter Of A Square

What is the perimeter of the square below? 

Screen shot 2015 11 05 at 9.05.00 am

Possible Answers:

\displaystyle 44cm

\displaystyle 77cm

\displaystyle 88cm

\displaystyle 66cm

\displaystyle 55cm

Correct answer:

\displaystyle 88cm

Explanation:

To solve this problem, we need to remember is that a square has four sides of equal length. This means that given one side length, we know all the other side lengths. The formula for perimeter is \displaystyle P=2l+2w, which is the same thing as adding all the side lengths together. 

\displaystyle P=2(22)+2(22) or \displaystyle P=22+22+22+22

\displaystyle P=88cm

Example Question #41 : How To Find The Perimeter Of A Square

What is the perimeter of the square below? 

Screen shot 2015 11 05 at 9.05.10 am

Possible Answers:

\displaystyle 98cm

\displaystyle 86cm

\displaystyle 84cm

\displaystyle 96cm

\displaystyle 100cm

Correct answer:

\displaystyle 96cm

Explanation:

To solve this problem, we need to remember is that a square has four sides of equal length. This means that given one side length, we know all the other side lengths. The formula for perimeter is \displaystyle P=2l+2w, which is the same thing as adding all the side lengths together. 

\displaystyle P=2(24)+2(24) or \displaystyle P=24+24+24+24

\displaystyle P=96cm

Example Question #1131 : Isee Lower Level (Grades 5 6) Mathematics Achievement

A squares sides measure \displaystyle x -2 inches each.  What is its perimeter?

Possible Answers:

\displaystyle 2x - 2

\displaystyle 4x - 8

\displaystyle 4x + 8

\displaystyle -4x - 8

\displaystyle 2x - 4

Correct answer:

\displaystyle 4x - 8

Explanation:

To find the perimeter of any object, simply add the length of each side together.  With a square, all of the sides are uniform, so you can take the side length and multiply it by four (or add it to itself four times). The best answer is:

\displaystyle (x -2) * 4 = 4x - 8

Example Question #1132 : Isee Lower Level (Grades 5 6) Mathematics Achievement

A squares sides measure \displaystyle 3.2 inches each.  What is its perimeter?

Possible Answers:

\displaystyle 12.4

\displaystyle 12.8

\displaystyle 11.8

\displaystyle 14.8

\displaystyle 12.6

Correct answer:

\displaystyle 12.8

Explanation:

To find the perimeter of any object, simply add the length of each side together.  With a square, all of the sides are uniform, so you can take the side length and multiply it by four (or add it to itself four times). The best answer is:

\displaystyle 3.2 * 4 = 12.8

Example Question #52 : How To Find The Perimeter Of A Square

A squares sides measure \displaystyle y + 6 inches each.  What is its perimeter?

Possible Answers:

\displaystyle 4y + 28

\displaystyle 6y + 24

\displaystyle 8y + 24

\displaystyle 4y + 20

\displaystyle 4y + 24

Correct answer:

\displaystyle 4y + 24

Explanation:

To find the perimeter of any object, simply add the length of each side together.  With a square, all of the sides are uniform, so you can take the side length and multiply it by four (or add it to itself four times). The best answer is:

\displaystyle 4 * (y + 6) = \displaystyle 4y + 24

Example Question #1133 : Isee Lower Level (Grades 5 6) Mathematics Achievement

A squares sides measure \displaystyle 3r inches each.  What is its perimeter?

Possible Answers:

\displaystyle 12r

\displaystyle 6r

\displaystyle 4r

\displaystyle 9r

\displaystyle 16r

Correct answer:

\displaystyle 12r

Explanation:

To find the perimeter of any object, simply add the length of each side together.  With a square, all of the sides are uniform, so you can take the side length and multiply it by four (or add it to itself four times). The best answer is:

\displaystyle 3r * 4 = 12r

Example Question #54 : How To Find The Perimeter Of A Square

Find the perimeter of a square with a width of 7ft. 

Possible Answers:

\displaystyle \text{There is not enough information to solve the problem.}

\displaystyle 49\text{ft}

\displaystyle 49\text{ft}^2

\displaystyle 28\text{ft}

\displaystyle 28\text{ft}^2

Correct answer:

\displaystyle 28\text{ft}

Explanation:

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

\displaystyle \text{perimeter of square} = a+b+c+d

where a, b, c, and d are the lengths of the sides of the square.

 

Now, we know the width of the square is 7ft.  Because it is a square, we know that all sides are equal.  This means that all sides have the same length.  Therefore, every side is 7ft.  Knowing this, we can substitute into the formula.  We get

\displaystyle \text{perimeter of square} = 7\text{ft} +7\text{ft} +7\text{ft} +7\text{ft}

\displaystyle \text{perimeter of square} = 28\text{ft}

Example Question #55 : How To Find The Perimeter Of A Square

Find the perimeter of a square with a base of length 8 inches.

Possible Answers:

\displaystyle 64\text{in}

\displaystyle 64\text{in}^2

\displaystyle 32\text{in}

\displaystyle 32\text{in}^2

\displaystyle 28\text{in}

Correct answer:

\displaystyle 32\text{in}

Explanation:

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

\displaystyle \text{perimeter of square} = a+b+c+d

where a, b, c, and d are the lengths of the sides of the square.

 

We know the base of this square has a length of 8 inches.  Because it is a square, we know that all sides are equal.  This means that all sides are the same length.  Therefore, all sides are 8 inches.  Knowing this, we can substitute into the formula.  We get

\displaystyle \text{perimeter of square} = 8\text{in} +8\text{in} +8\text{in} +8\text{in}

\displaystyle \text{perimeter of square} = 32\text{in}

Example Question #56 : How To Find The Perimeter Of A Square

Find the perimeter of a square with a base of length 7 inches.

Possible Answers:

\displaystyle \text{There is not enough information to answer the question.}

\displaystyle 49\text{in}

\displaystyle 49\text{in}^2

\displaystyle 28\text{in}^2

\displaystyle 28\text{in}

Correct answer:

\displaystyle 28\text{in}

Explanation:

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

\displaystyle \text{perimeter of square} = a+b+c+d

where a, b, c, and d are the lengths of the sides of the square.

 

Now, we know the base of the square has a length of 7in.  Because it is a square, we know that all sides are equal.  Therefore, all sides have a length of 7in.  Knowing this, we can substitute into the formula.  We get

\displaystyle \text{perimeter of square} = 7\text{in} + 7\text{in} + 7\text{in} + 7\text{in}

\displaystyle \text{perimeter of square} = 28\text{in}

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