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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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Example Questions

Example Question #31 : How To Find The Area Of A Rectangle

A rectangle has a width of $\frac{3}{4}$ foot and a length of $\frac{1}{2}$ foot. Find the area of the rectangle.

Possible Answers:

4ft^2

127in^2

27in^2

54in^2

5.5ft^2

Correct answer:

54in^2

Explanation:

To find the area of a rectangle apply the formula:

$Area= Width\times Length$

This problem provides the measurements for both the width and length of the rectangle. However, to select the correct answer it's necessary to convert the width and length measurements from feet to inches.

Since an inch is equal to $\frac{1}{12}$ of foot, the width and length conversions are:

$\frac{3}{4}=\frac{3}{4}\times \frac{3}{3}=\frac{9}{12}=9 in.$

$\frac{1}{2}=\frac{1}{2}\times \frac{6}{6}=\frac{6}{12}=6in.$

Thus, the solution is:

$Area=9\times6=54in^2$

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Example Question #41 : Quadrilaterals

A rectangle has a width of and a perimeter measurement of . Find the area of the rectangle.

Possible Answers:

Correct answer:

Explanation:

In this problem you are given the width and perimeter of the rectangle. However, to solve for the area of the rectangle you must first find the length of the rectangle. To do so, work backwards using the formula:

Perimeter=2(W+L)

34=2(9+L)

34=18+2L

2L=34-18=16

$L=\frac{16}{2}=8$

Now that you know the width and length of the rectangle, apply the area formula:

$Area=Width\times Length$

$Area=9\times 8= 72$

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Example Question #31 : How To Find The Area Of A Rectangle

A rectangle has a width of and a length of . Find the area of the rectangle.

Possible Answers:

150

250

175

200

225

Correct answer:

200

Explanation:

To find the area of a rectangle apply the formula:

$Area= Width\times Length$

This problem provides the measurements for both the width and length of the rectangle.

Thus, the solution is:

$Area=8\times25=200$

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Example Question #1001 : Isee Lower Level (Grades 5 6) Mathematics Achievement

Find the area of a rectangle whose width is and length is .

Possible Answers:

Correct answer:

Explanation:

To solve, simply use the formula for the area of a rectangle. Thus,

A=w*l=2*4=8

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Example Question #1002 : Isee Lower Level (Grades 5 6) Mathematics Achievement

Find the area of a rectanlge whose length is and width is .

Possible Answers:

Correct answer:

Explanation:

To solve, simply use the formula for the area of a rectangle. Thus,

A=l*w=5*8=40

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Example Question #1003 : Isee Lower Level (Grades 5 6) Mathematics Achievement

A garden is 7 by 5 in size and you need to know how much fence is needed to surround it. What is the perimeter?

Possible Answers:

Correct answer:

Explanation:

The perimeter is all four sides added together so you have two sides that are and two that are . So the answer would be 7+7+5+5=24 .

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Example Question #1004 : Isee Lower Level (Grades 5 6) Mathematics Achievement

A computer screen has a height of 9 inches and a width of 16 inches. Find its area.

Possible Answers:

50in^2

288in^2

25in^2

144in^2

Correct answer:

144in^2

Explanation:

A computer screen has a height of 9 inches and a width of 16 inches. Find its area.

Area can be found by multiplying the length by the width.

A=9*16=144

So our answer is 144

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Example Question #74 : Geometry

A rectangle measures inches on its short side, and y + 1 inches on its long side. What is its area?

Possible Answers:

2xy + 2

xy + 1

y + x

xy + x

2xy

Correct answer:

xy + x

Explanation:

To find the area of a rectangle, multiply the length of the long side by the length of the short side. The best way to find the answer is:

x * (y + 1) = xy + x

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Example Question #42 : Rectangles

A rectangle measures inches on its short side, and u - 1 inches on its long side. What is its area?

Possible Answers:

7u - 1

14u - 1

7u - 7

14u - 14

7u^2 - 7

Correct answer:

7u - 7

Explanation:

To find the area of a rectangle, multiply the length of the long side by the length of the short side. The best way to find the answer is:

7(u-1) = 7u - 7

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Example Question #1005 : Isee Lower Level (Grades 5 6) Mathematics Achievement

A swimming pool is in the shape of a rectangle that is 20 feet wide and 30 feet long. Find the area of the swimming pool.

Possible Answers:

$50\text{ft}$

$100\text{ft}$

$50\text{ft}^2$

$600\text{ft}^2$

$600\text{ft}$

Correct answer:

$600\text{ft}^2$

Explanation:

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

$\text{area of rectangle} = l \cdot w$

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

In this case, we know the length of the swimming pool is 30 feet. We also know the width of the pool is 20 feet. So, we can substitute into the formula. We get

$\text{area of rectangle} = 30\text{ft} \cdot 20\text{ft}$

$\text{area of rectangle} = 600\text{ft}^2$

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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 #31 : How To Find The Area Of A Rectangle

Example Question #41 : Quadrilaterals

Example Question #31 : How To Find The Area Of A Rectangle

Example Question #1001 : Isee Lower Level (Grades 5 6) Mathematics Achievement

Example Question #1002 : Isee Lower Level (Grades 5 6) Mathematics Achievement

Example Question #1003 : Isee Lower Level (Grades 5 6) Mathematics Achievement

Example Question #1004 : Isee Lower Level (Grades 5 6) Mathematics Achievement

Example Question #74 : Geometry

Example Question #42 : Rectangles

Example Question #1005 : Isee Lower Level (Grades 5 6) Mathematics Achievement

All ISEE Lower Level Math Resources

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