Top 10 SHSAT Math Practice Questions

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 2020 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.

The Absolute Best Book to Ace the SHSAT Math Test

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 \(3^6 \) ?______

Best SHSAT Math Exercise Resource for 2020

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):
\([6 {\times} (- 24) + 8] – (- 4) + [4 × 5] {\div} 2 \)
\( [- 144 + 8] – (- 4) + [20] {\div} 2 =
[- 144 + 8] – (- 4) + 10 \)
\([- 136] – (- 4) + 10 = [- 136] + 4 + 10 = – 122\)

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

Related to "Top 10 SHSAT Math Practice Questions"

FREE SHSAT Math Practice Test
FREE SHSAT Math Practice Test
10 Most Common SHSAT Math Questions
10 Most Common SHSAT Math Questions
The Ultimate SHSAT Math Formula Cheat Sheet
The Ultimate SHSAT Math Formula Cheat Sheet
SHSAT Math FREE Sample Practice Questions
SHSAT Math FREE Sample Practice Questions
SHSAT Math Practice Test Questions
SHSAT Math Practice Test Questions
How to prepare for SHSAT Math Test
How to prepare for SHSAT Math Test
The Ultimate SHSAT Math Course
The Ultimate SHSAT Math Course

Leave a Reply

Your email address will not be published. Required fields are marked *

49% OFF

Download Instantly

X

How Does It Work?

Find Books

1. Find eBooks

Locate the eBook you wish to purchase by searching for the test or title.

add to cart

2. Add to Cart

Add the eBook to your cart.

checkout

3. Checkout

Complete the quick and easy checkout process.

download

4. Download

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

Why Buy eBook From Effortlessmath?

Save money

Save up to 70% compared to print

Instantly download

Instantly download and access your eBook

help environment

Help save the environment

Access

Lifetime access to your eBook

Test titles

Over 2,000 Test Prep titles available

Customers

Over 80,000 happy customers

Star

Over 10,000 reviews with an average rating of 4.5 out of 5

Support

24/7 support

Anywhere

Anytime, Anywhere Access

Find Your Test

Schools, tutoring centers, instructors, and parents can purchase Effortless Math eBooks individually or in bulk with a credit card or PayPal. Find out more…