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SSAT Upper Level Math : SSAT Upper Level Quantitative (Math)

Study concepts, example questions & explanations for SSAT Upper Level Math

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All SSAT Upper Level Math Resources

6 Diagnostic Tests 311 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #4 : How To Find The Area Of An Acute / Obtuse Triangle

The height of an acute triangle is , and the base is . What is the area of this triangle?

Possible Answers:

280

490

560

360

Correct answer:

280

Explanation:

Use the following formula to find the area of a triangle:

$\text{Area}=\frac{base\times height}{2}$

Now, substitute in for the base and for the height.

$\text{Area}=\frac{40\times14}{2}=\frac{560}{2}=280$

The area of the triangle is 280 .

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Example Question #4 : How To Find The Area Of An Acute / Obtuse Triangle

The base of a triangle is , and the height is . In terms of , what is the area of the triangle?

Possible Answers:

9t^2

20t^2

10t^2

Correct answer:

10t^2

Explanation:

Use the following formula to find the area of a triangle:

$\text{Area}=\frac{base\times height}{2}$

Now, substitute in for the base and for the height.

$\text{Area}=\frac{4t\times 5t}{2}=\frac{20t^2}{2}=10t^2$

The area of the triangle is 10t^2 .

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Example Question #5 : How To Find The Area Of An Acute / Obtuse Triangle

The base of a triangle is , and the height is . What is the area of this triangle?

Possible Answers:

Correct answer:

Explanation:

Use the following formula to find the area of a triangle:

$\text{Area}=\frac{base\times height}{2}$

Now, substitute in for the base and for the height.

$\text{Area}=\frac{4\times20}{2}=\frac{80}{2}=40$

The area of the triangle is .

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Example Question #6 : How To Find The Area Of An Acute / Obtuse Triangle

The height of a triangle is , and the base is . In terms of , what is the area of the triangle?

Possible Answers:

48a^2

36a^2

24a^2

14a

Correct answer:

24a^2

Explanation:

Use the following formula to find the area of a triangle:

$\text{Area}=\frac{base\times height}{2}$

Now, substitute in for the base and for the height.

$\text{Area}=\frac{6a\times8a}{2}=\frac{48a^2}{2}=24a^2$

The area of the triangle is 24a^2 .

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Example Question #7 : How To Find The Area Of An Acute / Obtuse Triangle

The height of a triangle is , and the base of the triangle is . In terms of , what is the area of the triangle?

Possible Answers:

54y^2

27y^2

36y^2

15y

Correct answer:

27y^2

Explanation:

Use the following formula to find the area of a triangle:

$\text{Area}=\frac{base\times height}{2}$

Now, substitute in for the base and for the height.

$\text{Area}=\frac{9y\times6y}{2}=\frac{54y^2}{2}=27y^2$

The area of the triangle is 27y^2 .

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Example Question #8 : How To Find The Area Of An Acute / Obtuse Triangle

The height of a triangle is , and the base is . What is the area of the triangle?

Possible Answers:

Correct answer:

Explanation:

Use the following formula to find the area of a triangle:

$\text{Area}=\frac{base\times height}{2}$

Now, substitute in for the base and for the height.

$\text{Area}=\frac{4\times14}{2}=\frac{56}{2}=28$

The area of the triangle is .

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Example Question #11 : How To Find The Area Of An Acute / Obtuse Triangle

The height of a triangle is 10g , and the base is . In terms of , what is the area of the triangle?

Possible Answers:

22g

60g^2

40g^2

30g^2

Correct answer:

30g^2

Explanation:

Use the following formula to find the area of a triangle:

$\text{Area}=\frac{base\times height}{2}$

Now, substitute in for the base and 10g for the height.

$\text{Area}=\frac{6g\times10g}{2}=\frac{60g^2}{2}=30g^2$

The area of the triangle is 30g^2 .

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Example Question #82 : Acute / Obtuse Triangles

The base of a triangle is inches, and the height of the triangle is inches. In terms of , what is the area of the triangle?

Possible Answers:

$\frac{y}{2}$ in^2

in^2

Correct answer:

in^2

Explanation:

Find the area of the triangle by using the formula $\frac{base\times height}{2}$ .

Now, substitute in for the base and for the height.

$\text{Area}=\frac{y\times8}{2}=\frac{8y}{2}=4y$

Don't forget to include the units, in^2

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Example Question #173 : Properties Of Triangles

The base of a triangle is 12x , and the height of the triangle is . If the area of the triangle is 120 , what is the value of ?

Possible Answers:

Correct answer:

Explanation:

Use the following formula to find the area of a triangle:

$\text{Area}=\frac{base\times height}{2}$

Now, substitute in 12x for the base, for the height, and 120 for the area..

Use algebraic opertions to solve for x.

$120=\frac{12x\times5}{2}$

60x=120

x=4

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Example Question #174 : Properties Of Triangles

The height of the triangle is , and the base of the triangle is . If the area of the triangle is , what is the value of ?

Possible Answers:

Correct answer:

Explanation:

Use the formula for the area of a triangle.

$\text{Area}=\frac{base \times height}{2}$

Substitute in for height, for the base, and for the area.

From here, use algebraic operations to isolate d on one side and all other numbers on the other side.

$80=\frac{5d\times 8}{2}$

40d=160

d=4

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All SSAT Upper Level Math Resources

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SSAT Upper Level Math : SSAT Upper Level Quantitative (Math)

Study concepts, example questions & explanations for SSAT Upper Level Math

All SSAT Upper Level Math Resources

Example Questions

Example Question #4 : How To Find The Area Of An Acute / Obtuse Triangle

Example Question #4 : How To Find The Area Of An Acute / Obtuse Triangle

Example Question #5 : How To Find The Area Of An Acute / Obtuse Triangle

Example Question #6 : How To Find The Area Of An Acute / Obtuse Triangle

Example Question #7 : How To Find The Area Of An Acute / Obtuse Triangle

Example Question #8 : How To Find The Area Of An Acute / Obtuse Triangle

Example Question #11 : How To Find The Area Of An Acute / Obtuse Triangle

Example Question #82 : Acute / Obtuse Triangles

Example Question #173 : Properties Of Triangles

Example Question #174 : Properties Of Triangles

All SSAT Upper Level Math Resources

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