# Top 10 SHSAT Math Practice Questions Preparing for the SHSAT Math test? The best way to prepare for your SHSAT Math test is to work through as many SHSAT Math practice questions as possible. Here are the top 10 SHSAT Math practice questions to help you review the most important SHSAT Math concepts. These SHSAT Math practice questions are designed to cover mathematics concepts and topics that are found on the actual test. The questions have been fully updated to reflect the latest 2021 SHSAT guidelines. Answers and full explanations are provided at the end of the post.

Start your SHSAT Math test prep journey right now with these sample SHSAT Math questions.

## SHSAT Math Practice Questions

1- What is the value of the expression $$(5(x-2y)+(2-x))^2$$ when$$x=3$$ and $$y=-2$$ ?

☐A. 20

☐B. 50

☐C. 1156

☐D. 36

2- What is the slope of a line that is perpendicular to the line
$$4x-2y=12$$?

☐A. $$-2$$

☐B. 4

☐C. 2

☐D.$$-\frac{1}{2}$$

3- Which of the following is equal to the expression below?
$$(2x+2y)(2x-y)$$

☐A. $$4x^2- 2y^2$$

☐B. $$2x^2+6xy-2y^2$$

☐C. $$24x^2+2xy-2y^2$$

☐D. $$4x^2+2xy-2y^2$$

4- What is the product of all possible values of x in the following equation?
$$|x-10| = 3$$

☐A. 3

☐B. 7

☐C. 13

☐D. 91

5- $$[6 \times (- 24) + 8] – (-4) + [4 \times 5] \div 2 =$$?

☐A. 111

☐B. $$-112$$

☐C. $$-122$$

☐D. $$-144$$

6- What is the value of $$x$$ in the following system of equations?
$$2x+5y=11$$
$$4x-2y=-14$$

☐A. $$-1$$

☐B. 1

☐C. 4

☐D. $$-2$$

7- What is the median of these numbers? 2, 27, 28, 19, 67, 44, 35

☐A. 19

☐B. 28

☐C. 44

☐D. 35

8- A swimming pool holds 2,000 cubic feet of water. The swimming pool is 25 feet long and 10 feet wide. How deep is the swimming pool?_______

9- The area of a circle is $$64 π$$. Which of the following is the circumference of the circle?

☐A. 8$$\pi$$

☐B. 12$$\pi$$

☐C. 16$$\pi$$

☐D. 64$$\pi$$

10- What is the value of $$3^6$$ ?______

## Answers:

1- D
Plug in the value of $$x$$ and $$y$$.
$$x=3$$ and $$y=-2$$
$$(5(x-2y)+(2-x))^2=(5(3-2(-2))+(2-3))^2=(5(3+4)+(-1))^2 = (34)^2=36$$

2- D
The equation of a line in slope intercept form is: $$y=mx+b$$
Solve for y.
$$4x-2y=12 {\Rightarrow} -2y=12-4x {\Rightarrow} y=(12-4x){\div}(-2) {\Rightarrow} y=2x-6$$
The slope of this line is 2.
The product of the slopes of two perpendicular lines is $$-1$$.
Therefore, the slope of a line that is perpendicular to this line is:
$$m_{1} {\times} m_{2} = -1 {\Rightarrow} 2 {\times} m_{2} = -1 {\Rightarrow} m_{2} = \frac{-1}{2}$$

3- D
Use FOIL method.
$$(2x+2y)(2x-y) = 4x^2-2xy+4xy-2y^2=4x^2+2xy-2y^2$$

4- D
To solve absolute values equations, write two equations.
$$x-10$$ could be positive 3, or negative 3. Therefore,
$$x-10=3 \Rightarrow x=13$$
$$x-10=-3 \Rightarrow x=7$$
Find the product of solutions: $$7 \times 13 = 91$$

5- C
Use PEMDAS (order of operation):
$$[6 {\times} (- 24) + 8] – (- 4) + [4 × 5] {\div} 2$$
$$[- 144 + 8] – (- 4) +  {\div} 2 = [- 144 + 8] – (- 4) + 10$$
$$[- 136] – (- 4) + 10 = [- 136] + 4 + 10 = – 122$$

6- D
Solving Systems of Equations by Elimination
Multiply the first equation by (-2), then add it to the second equation.
$${-2(2x+5y= 11) \ 4x-2y=-14} {\Rightarrow} {-4x-10y= -22 \ 4x-2y=-14} {\Rightarrow} {-12y= -36} {\Rightarrow} {y= 3}$$
Plug in the value of y into one of the equations and solve for x.
$$2x+5(3)= 11 {\Rightarrow} 2x+15= 11 {\Rightarrow} 2x= -4 {\Rightarrow} x= -2$$

7- B
Write the numbers in order:
2, 19, 27, 28, 35, 44, 67
Median is the number in the middle. So, the median is 28

8- 8
Use formula of rectangle prism volume.
$$V = (length) (width) (height) {\Rightarrow} 2000 = (25) (10) (height) {\Rightarrow} height = 2000 {\div} 250 = 8$$

9- C
Area of the circle is $$16 π$$. Use the formula of areas of circles.
$$Area = πr^2 ⇒ 64 π> πr^2⇒ 64 > r^2⇒ r < 8$$
Radius of the circle is 8. Let’s put 8 for the radius. Now, use the circumference formula:
$$Circumference =2πr=2π (8)=16π$$

10- 729
$$(3^6 ) = 3 × 3 × 3 × 3 × 3 × 3 = 729$$

Looking for the best resource to help you succeed on the SHSAT Math test?

### The Best Books to Ace the SHSAT Math Test 49% OFF

X

## How Does It Work? ### 1. Find eBooks

Locate the eBook you wish to purchase by searching for the test or title. ### 2. Add to Cart

Add the eBook to your cart. ### 3. Checkout

Complete the quick and easy checkout process. ### 4. Download

Immediately receive the download link and get the eBook in PDF format.

## Why Buy eBook From Effortlessmath? Save up to 70% compared to print Instantly download and access your eBook Help save the environment Lifetime access to your eBook Over 2,000 Test Prep titles available Over 80,000 happy customers Over 10,000 reviews with an average rating of 4.5 out of 5 24/7 support Anytime, Anywhere Access