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 #63 : Squares

Find the perimeter of a square with a width of 8in.

Possible Answers:

Correct answer:

Explanation:

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

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

 

Now, we know the width of the square is 8in.  Because it is a square, all sides are equal.  Therefore, all sides are 8in.

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

Example Question #64 : Squares

Find the length of one side of a square if it's perimeter is 28cm.

Possible Answers:

Correct answer:

Explanation:

The formula for perimeter of a square is

where a is the length of one side of the square.  So, we want to solve for a.

 

Now, we know the perimeter of the square is 28cm.  Knowing this, we can substitute into the formula.  We get

 

 

 

 

Therefore, the length of one side of the square is 7cm.

Example Question #65 : Squares

Find the perimeter of a square with a width of 12in.

Possible Answers:

Correct answer:

Explanation:

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

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

 

Now, we know the width of the square is 12in.  Because it is a square, all sides are equal.  Therefore, all sides are 12in.  Knowing this, we can substitute into the formula.  We get

 

 

 

Example Question #63 : Squares

Find the perimeter of a square with a length of 7cm.

Possible Answers:

Correct answer:

Explanation:

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

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

 

Now, we know the length of the square is 7cm.  Because it is a square, all sides are equal.  Therefore, all sides are 7cm.  So, we get

Example Question #221 : Geometry

Use the square to answer the question.

Square_perimeter

What is the perimeter of the square?

Possible Answers:

Correct answer:

Explanation:

To find the perimeter of a square, add all the sides together:

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

If the perimeter of a square is 18 cm, what must the area of this square be?

Possible Answers:

20.25cm2

81cm2

18cm2

25cm2

16cm2

Correct answer:

20.25cm2

Explanation:

Remember that a square has four sides, each side with equal lengths. If a square has a perimeter of 18 cm, that means that each side has a length of

18 ÷ 4 =

4.5 cm.

The formula for the area of a square is length x width or length squared (length x length), since each side of a square has the same length.

So,

4.5 x 4.5 =

20.25cm2

 

Example Question #1151 : Isee Lower Level (Grades 5 6) Mathematics Achievement

What is the area of a square that has a side with a length of 9 cm?

Possible Answers:

18

36

63

81

Correct answer:

81

Explanation:

The area of a square can be found using the same equation as the area of a rectangle - length times width.

However, in the case of a square, all of the sides are of equal length. Therefore, the area of a square can be found using the equation:

or

Example Question #1152 : Isee Lower Level (Grades 5 6) Mathematics Achievement

What is the area of a square that has a side with a length of 10 in.?

Possible Answers:

Correct answer:

Explanation:

To calculate the area of a square, you need to multiply the length by the width. By definition, a square has 4 equal sides. So, by knowing the length of one side of the square, you know the length measurement and the width measurement.

Since the length of one side of this square is 10 in., you would multiply to get the answer.

Because area is the number of squares that would be used to cover the inside the shape, it is given in units2. As a result, the answer is 100 in.2.

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

The perimeter of a square is .  What is the area?

Possible Answers:

Correct answer:

Explanation:

The perimeter of a square is given by .  Here , so divide by four to get .

The area of a square is given by . Substitute the side length obtained from the perimeter equation to get .

Example Question #204 : Plane Geometry

The perimeter of a square is .  What is the area?

Possible Answers:

Correct answer:

Explanation:

The perimeter of a square is given by ,  or . Divide by four to get .

The area of a square is given by . Substitute the side length obtained from the perimeter equation to get .

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