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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 #54 : How To Find The Area Of A Rectangle

Find the area of a rectangle with a length of 8cm and a width of 6cm.

Possible Answers:

$42\text{cm}^2$

$28\text{cm}^2$

$48\text{cm}^2$

$36\text{cm}^2$

$54\text{cm}^2$

Correct answer:

$48\text{cm}^2$

Explanation:

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

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

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

Now, we know the length of the rectangle is 8cm. We also know the width of the rectangle is 6cm. Knowing this, we can substitute into the formula. We get

$\text{area of rectangle} = 8\text{cm} \cdot 6\text{cm}$

$\text{area of rectangle} = 48\text{cm}^2$

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Example Question #86 : Geometry

Use the following rectangle to answer the question:

Rectangle1

Find the area.

Possible Answers:

$36\text{in}^2$

$18\text{in}^2$

$9\text{in}^2$

$12\text{in}^2$

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

Correct answer:

$18\text{in}^2$

Explanation:

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

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

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

Now, let's look at the rectangle.

Rectangle1

We can see the length is 6 inches. We can also see the width is 3 inches.

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

$\text{area of rectangle} = 6\text{in} \cdot 3\text{in}$

$\text{area of rectangle} = 18\text{in}^2$

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Example Question #55 : How To Find The Area Of A Rectangle

Find the area of a rectangle with a width of 5cm and a length that is two times the width.

Possible Answers:

$20\text{cm}^2$

$50\text{cm}^2$

$30\text{cm}^2$

$10\text{cm}^2$

$15\text{cm}^2$

Correct answer:

$50\text{cm}^2$

Explanation:

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

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

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

Now, we know the width of the rectangle is 5cm. We also know the length is two times the width. Therefore, the length is 10cm.

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

$\text{area of rectangle} = 10\text{cm} \cdot 5\text{cm}$

$\text{area of rectangle} = 50\text{cm}^2$

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Example Question #71 : Plane Geometry

Use the following image to answer the question:

Rectangle4

Find the area.

Possible Answers:

$72\text{cm}^2$

$63\text{cm}^2$

$16\text{cm}^2$

$32\text{cm}^2$

$25\text{cm}^2$

Correct answer:

$63\text{cm}^2$

Explanation:

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

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

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

Now, given the rectangle

Rectangle4

We can see the length is 9cm. We can also see the width is 7cm.

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

$\text{area of rectangle} = 9\text{cm} \cdot 7\text{cm}$

$\text{area of rectangle} = 63\text{cm}^2$

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Example Question #51 : How To Find The Area Of A Rectangle

Use the following rectangle to answer the question:

Rectangle2

Find the area.

Possible Answers:

$16\text{in}^2$

$32\text{in}$

$55\text{in}$

$55\text{in}^2$

$32\text{in}^2$

Correct answer:

$55\text{in}^2$

Explanation:

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

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

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

So, given the rectangle

Rectangle2

we can see the length is 11in and the width is 5in.

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

$\text{area of rectangle} = 11\text{in} \cdot 5\text{in}$

$\text{area of rectangle} = 55\text{in}^2$

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Example Question #1021 : Isee Lower Level (Grades 5 6) Mathematics Achievement

Find the area of a rectangle with a width of 3cm and a length that is four times the width.

Possible Answers:

$14\text{cm}^2$

$12\text{cm}^2$

$18\text{cm}^2$

$24\text{cm}^2$

$36\text{cm}^2$

Correct answer:

$36\text{cm}^2$

Explanation:

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

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

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

Now, we know the width of the rectangle is 3cm. We also know the length is four times the width. Therefore, the length is 12cm.

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

$\text{area of rectangle} = 12\text{cm} \cdot 3\text{cm}$

$\text{area of rectangle} = 36\text{cm}^2$

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Example Question #61 : Rectangles

Find the area of a rectangle with a length of 16in and a width that is half the length.

Possible Answers:

$128\text{in}^2$

$32\text{in}^2$

$64\text{in}^2$

$76\text{in}^2$

$36\text{in}^2$

Correct answer:

$128\text{in}^2$

Explanation:

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

$A = l \cdot w$

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

Now, we know the length of the rectangle is 16in. We also know the width is half of the length. Therefore, the width is 8in.

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

$A = 16\text{in} \cdot 8\text{in}$

$A = 128\text{in}^2$

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Example Question #61 : How To Find The Area Of A Rectangle

Find the area of the following rectangle:

Rectangle2

Possible Answers:

$55\text{in}^2$

$22\text{in}^2$

$32\text{in}^2$

$27\text{in}^2$

$16\text{in}^2$

Correct answer:

$55\text{in}^2$

Explanation:

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

$A = l \cdot w$

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

Now, given the rectangle

Rectangle2

we can see the length is 11in and the width is 5in. Knowing this, we can substitute into the formula. We get

$A = 11\text{in} \cdot 5\text{in}$

$A = 55\text{in}^2$

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Example Question #71 : Plane Geometry

Find the area of a rectangle with a width of 4in and a length that is two times the width.

Possible Answers:

$12\text{in}^2$

$24\text{in}^2$

$8\text{in}^2$

$32\text{in}^2$

$48\text{in}^2$

Correct answer:

$32\text{in}^2$

Explanation:

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

$A = l \cdot w$

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

Now, we know the width of the rectangle is 4in. We also know the length of the rectangle is two times the width. Therefore, the length is 8in. So, we get

$A = 8\text{in} \cdot 4\text{in}$

$A = 32\text{in}^2$

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

Dennis is building a fence around his field to keep his cattle from getting off the property. If Dennis’ field is $\small 3$ miles long and $\small 2$ miles wide, how much fence will Dennis need to surround all of his property?

Possible Answers:

$6\ mi$

$7\ mi$

$12\ mi$

$10\ mi$

$5\ mi$

Correct answer:

$10\ mi$

Explanation:

In order to determine how much fence Dennis will need, we must find the perimeter of his property, which can be found using the formula $\small \small 2W+ 2L$ . When we plug $\small 2\ mi$ in the $\small W$ and $\small 3\ mi$ in for $\small L$ , we find that Dennis needs $\small 10\ mi$ of fence to surround his property.

$\small 2(2\ mi) + 2(3\ mi) = 10\ mi$

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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 #54 : How To Find The Area Of A Rectangle

Example Question #86 : Geometry

Example Question #55 : How To Find The Area Of A Rectangle

Example Question #71 : Plane Geometry

Example Question #51 : How To Find The Area Of A Rectangle

Example Question #1021 : Isee Lower Level (Grades 5 6) Mathematics Achievement

Example Question #61 : Rectangles

Example Question #61 : How To Find The Area Of A Rectangle

Example Question #71 : Plane Geometry

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

All ISEE Lower Level Math Resources

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