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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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All ISEE Lower Level Math Resources

10 Diagnostic Tests 170 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #11 : How To Find The Area Of A Rectangle

If a rectangle has an area of 18, which of the following are possible dimensions of the length and width?

Possible Answers:

$l=9,\ w=2$

$l=5,\ w=3$

$l=4,\ w=3$

None of these

$l=8,\ w=2$

Correct answer:

$l=9,\ w=2$

Explanation:

If the area of the rectangle is 18, that means that the length and the width, when multiplied together, should equal 18.

$A=l\times w=18$

The only numbers from the answer choices that would result in the product of 18 are 9 by 2, which is therefore the correct answer.

$l=9,\ w=2$

$9\times2=18$

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Example Question #11 : How To Find The Area Of A Rectangle

Ben is making a sandbox with a width of 4 feet and a length of 6 feet. What is the area of the sandbox?

Possible Answers:

$24\ \text{ft}^2$

$36\ \text{ft}^2$

$42\ \text{ft}^2$

$18\ \text{ft}^2$

$22\ \text{ft}^2$

Correct answer:

$24\ \text{ft}^2$

Explanation:

The area of a rectangle is the width times the length.

$A=w\times l$

The width is 4 feet and the length is 6 feet. Because 4 times 6 is 24, the area is 24 square feet.

$A=4\text{ft}\times6\text{ft}$

$A=24\ \text{ft}^2$

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Example Question #12 : How To Find The Area Of A Rectangle

Jerry has a mat with an area of 20 square feet and a length of 5 feet. What is the width of the mat in inches?

Possible Answers:

$20\text{in}$

$24\text{in}$

$48\text{in}$

None of these

$4\text{in}$

Correct answer:

$48\text{in}$

Explanation:

The area of a rectangle is the width times the length.

$A=w\times l$

Given that the area is 20 square feet and the length is 5 feet, the width would have to be 4 feet because 5 times 4 is 20.

$20\text{ft}^2=w\times5\text{ft}$

$w=\frac{20\text{ft}^2}{5\text{ft}}=4\text{ft}$

Given that the question asks for the width in inches, 4 should be multiplied by 12 (as there are 12 inches in a foot).

$4\text{ft}\times12\text{inches per foot}=48\text{in}$

This gives us a product of 48 inches, which is the width.

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Example Question #11 : How To Find The Area Of A Rectangle

If the length of a rectangle is 2r and the width of the rectangle is 3w, what is the area?

Possible Answers:

6rw

$3(rw)^{2}$

Correct answer:

6rw

Explanation:

The area of a rectangle is found by multiplying the length by the width. Given that the length is 2r and that the length is 3w, the area will be the product of those numbers, which is 6rw .

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Example Question #12 : How To Find The Area Of A Rectangle

A rectangle has a length of 10 feet and a width of 1 foot. What is the area of the rectangle?

Possible Answers:

$22\ \text{ft}^2$

$11\ \text{ft}^2$

$5\ \text{ft}^2$

$10\ \text{ft}^2$

$20\ \text{ft}^2$

Correct answer:

$10\ \text{ft}^2$

Explanation:

The area of a rectangle is calculated by multiplying the length by the width.

$A=l\times w$

Given that the length is 10 feet and that the width is 1 foot we can multiply to find the final area:

$A=10\text{ft}\times1\text{ft}=10\text{ft}^2$

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Example Question #13 : How To Find The Area Of A Rectangle

What is the area of a rectangle with a width of 6 inches and a length of 7 inches?

Possible Answers:

$42\ \text{in}^2$

$13\ \text{in}^2$

$84\ \text{in}^2$

$26\ \text{in}^2$

$24\ \text{in}^2$

Correct answer:

$42\ \text{in}^2$

Explanation:

The area of a rectangle is equal to the length multiplied by the width. Since the width is 6 inches and the length is 7 inches, the area is equal to 6 times 7.

$A=l\times w$

$A=7\text{in}\times6\text{in}=42\text{in}^2$

The area is 42 square inches.

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Example Question #31 : Plane Geometry

If a rectangle has a perimeter of 40, a width of 4, and a length of 4x, what is the value of x?

Possible Answers:

Correct answer:

Explanation:

The perimeter of a rectangle is equal to width+width+length+length .

Thus, 4+4+4x+4x=40 .

Add like terms:

8+8x=40

Subtract 8 from both sides:

8x=32

Divide both sides by 8:

x=4

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Example Question #982 : Isee Lower Level (Grades 5 6) Mathematics Achievement

A rectangle has a perimeter of 30. One of its sides has a length of 6. What is its area?

Possible Answers:

Correct answer:

Explanation:

If the rectangle has one side that is , we know that two of them must be that size. Therefore, we know that it looks something like this:

Rect6

If the perimeter is 30, you know that the following equation holds:

12+2x = 30

This means that the other two sides can be found by solving for :

2x = 30-12

2x = 18

$\frac{2x}{2}=\frac{18}{2}$

x=9

The area of a rectangle is equal to its base times its height:

A = 6*9=54

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Example Question #22 : Rectangles

A rectangle has two sides that are each . Its other sides are twice this length. What is the area of the rectangle?

Possible Answers:

200

150

100

Correct answer:

200

Explanation:

If one side is , the doubled side must be . Therefore, the rectangle looks like this:

Untitled_2

The area of a rectangle is equal to its base times its height:

A = BH = 10 * 20 = 200

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Example Question #32 : Plane Geometry

What is the area of the following rectangle?

Untitled_4

Possible Answers:

20.7

102.92

13.4

41.4

51.3

Correct answer:

102.92

Explanation:

The area of a rectangle is defined as the base multiplied by its height. Therefore, for this rectangle:

A=12.4*8.3=102.92

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All ISEE Lower Level Math Resources

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

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

All ISEE Lower Level Math Resources

Example Questions

Example Question #11 : How To Find The Area Of A Rectangle

Example Question #11 : How To Find The Area Of A Rectangle

Example Question #12 : How To Find The Area Of A Rectangle

Example Question #11 : How To Find The Area Of A Rectangle

Example Question #12 : How To Find The Area Of A Rectangle

Example Question #13 : How To Find The Area Of A Rectangle

Example Question #31 : Plane Geometry

Example Question #982 : Isee Lower Level (Grades 5 6) Mathematics Achievement

Example Question #22 : Rectangles

Example Question #32 : Plane Geometry

All ISEE Lower Level Math Resources

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