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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 #261 : Geometry

Find the area of a square with a length of 13in.

Possible Answers:

$169\text{in}^2$

$154\text{in}^2$

$144\text{in}^2$

$39\text{in}^2$

$52\text{in}^2$

Correct answer:

$169\text{in}^2$

Explanation:

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

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

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

Now, we know the length of the square is 13in. Because it is a square, all sides are equal. Therefore, the length is also 13in.

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

$\text{area of square} = 13\text{in} \cdot 13\text{in}$

$\text{area of square} = 169\text{in}^2$

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Example Question #111 : Squares

Find the area of a square with a length of 11in.

Possible Answers:

$111\text{in}^2$

$44\text{in}^2$

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

$110\text{in}^2$

$121\text{in}^2$

Correct answer:

$121\text{in}^2$

Explanation:

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

$A = l \cdot w$

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

Now, we know the length of the square is 11in. Because it is a square, all sides are equal. Therefore, the width is also 11in.

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

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

$A = 121\text{in}^2$

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Example Question #1201 : Isee Lower Level (Grades 5 6) Mathematics Achievement

Find the length of one side of a square with an area of 64in.

Possible Answers:

$14\text{in}$

$16\text{in}$

$9\text{in}$

$7\text{in}$

$8\text{in}$

Correct answer:

$8\text{in}$

Explanation:

The formula to find area of a square is

A = x^2

where x is the length of one side of a square. Now, to find the length of a side, we will solve for x.

So, we know the area of the square is 64in. Knowing this, we can substitute into the formula. We get

$64\text{in} = x^2$

$\sqrt{64\text{in}} = \sqrt{x^2}$

$8\text{in} = x$

$x = 8\text{in}$

Therefore, the length of one side of the square is 8in.

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Example Question #46 : How To Find The Area Of A Square

Find the area of a square with a width of 7cm.

Possible Answers:

$42\text{cm}^2$

$49\text{cm}^2$

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

$28\text{cm}^2$

$56\text{cm}^2$

Correct answer:

$49\text{cm}^2$

Explanation:

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

$A = l \cdot w$

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

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

$A = 7\text{cm} \cdot 7\text{cm}$

$A = 49\text{cm}^2$

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

Calculate the area of the trapezoid:

Possible Answers:

$18\ ft^2$

$66\ ft^2$

$48\ ft^2$

$84\ ft^2$

Correct answer:

$66\ ft^2$

Explanation:

Break the figure into a rectangle and a triangle. Use the dotted line as a guide. The rectangle has a length of 8 and a width of 6. The triangle has a base of 6 and width of 6.

Area of the rectangle:

$A=l\times w$

$A=6\times 8=48\ ft^2$

Area of the triangle:

$A=\frac{1}{2}b\times h$

$A=\frac{1}{2}\times 6\times 6=3\times 6=18\ ft^2$

Add them together:

$A=48\ ft^2+18\ ft^2=66\ ft^2$

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Example Question #1202 : Isee Lower Level (Grades 5 6) Mathematics Achievement

Find the area of the trapezoid:

Question_10

Possible Answers:

Correct answer:

Explanation:

$A=\frac{1}{2}(b_1+b_2)(h)$

$A=\frac{1}{2}(6+10)(4)$

$A=\frac{1}{2}(16)(4)$

A=(8)(4)=32

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Example Question #273 : Geometry

Set_3

Figure not drawn to scale

Find the area of the trapezoid.

Possible Answers:

$48\ in^{2}$

$60\ in^{2}$

$72\ in^{2}$

$122\ in^{2}$

$84\ in^{2}$

Correct answer:

$72\ in^{2}$

Explanation:

In order to find the area of the trapezoid, we must follow the formula below:

$A=\frac{1}{2}(b_{1}+b_{2})*h$

$b_{1}=$ One of the bases of the trapezoid

$b_{2}=$ The other base of the trapezoid

The height of the trapezoid

In this question, $b_{1}=10\ in$ , $b_{2}=14\ in$ , and $h=6\ in$

$A=\frac{1}{2}(b_{1}+b_{2})*h\rightarrow A=\frac{1}{2}(10+14)*6\rightarrow$

$A=\frac{1}{2}(24)*6\rightarrow$

$A=12*6\rightarrow$

A = 72

By following the formula and order of operations, we are able to solve the problem. The area of the trapezoid is 72 in.²

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Example Question #1203 : Isee Lower Level (Grades 5 6) Mathematics Achievement

A trapezoid has two bases measuring 3cm and 5cm , and a height measuring 4cm

What is its area?

Possible Answers:

$40cm^{2}$

$2cm^{2}$

$16cm^{2}$

$32cm^{2}$

$18cm^{2}$

Correct answer:

$16cm^{2}$

Explanation:

To find the area of a trapezoid, use this formula: $area= \frac{base +base}{2}\times height$ .

Use the information from the question to solve.

$a= \frac{3cm+5cm}{2}\times4cm$

$a=\frac{8cm}{2}\times 4cm$

$a=4cm\times 4cm=16cm^2$

The area is $16cm^{2}$ .

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

In a trapezoid, the top base is equal to 5 and the bottom base is equal to 11. It has a height of 6. What is the area?

Possible Answers:

Correct answer:

Explanation:

The area of a trapezoid is equal to the sum of the bases, divided by 2, and then multiplied by the height:

$Area=\frac{base+base}{2}\cdot height$

$\frac{5+11}{2}\cdot 6$

$\frac{16}{2}\cdot 6$

$8\cdot 6$

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Example Question #275 : Geometry

A trapezoid's bases are 6 cm and 8 cm long. It's height is 5 cm . What is the area of this trapezoid?

Possible Answers:

$120 cm^{2}$

$240 cm^{2}$

$70 cm^{2}$

$35 cm^{^{2}}$

$48 cm^{2}$

Correct answer:

$35 cm^{^{2}}$

Explanation:

The formula to calculate the area of a trapezoid is:

$A = \frac{base + base}{2}\times height$

$A = \frac{6cm+8cm}{2cm}\times5cm$

$A= \frac{14cm}{2cm}\times5cm$

$A= 7cm\times5cm$

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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 #261 : Geometry

Example Question #111 : Squares

Example Question #1201 : Isee Lower Level (Grades 5 6) Mathematics Achievement

Example Question #46 : How To Find The Area Of A Square

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

Example Question #1202 : Isee Lower Level (Grades 5 6) Mathematics Achievement

Example Question #273 : Geometry

Example Question #1203 : Isee Lower Level (Grades 5 6) Mathematics Achievement

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

Example Question #275 : Geometry

All ISEE Lower Level Math Resources

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