Top 10 OAR Math Practice Questions

Preparing for the OAR (ASTB) Math test? The best way to prepare for your OAR Math test is to work through as many OAR Math practice questions as possible. Here are the top 10 OAR Math practice questions to help you review the most important OAR Math concepts. These OAR 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 2022 OAR guidelines. Answers and full explanations are provided at the end of the post.

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

The Absolute Best Book to Ace the OAR Math Test

OAR 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 OAR Math Tutor Resource for 2022

Answers:

1- D
Plug in the value of \(x\) and \(y\).
\(x=3\) and \(y=-2\)
\((5(x-2y)+(2-x)^2)=(5(3-2(-2))+(2-3)^2)=(5(3+4)+(-1)^2)= (35)+1=36\)

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 OAR Math test?

The Best Book to Ace the OAR Test

More from Effortless Math for OAR Test …

Have you read all the math content of the OAR test well and you are ready now?

Now it’s time to use the practice test to evaluate yourself !: FREE OAR Math Practice Test

Tired of learning OAR math formulas sporadically?

So you need a list of essential formulas: OAR Math Formulas

Have you ever wondered how the OAR test is scored?

If you have this question, find the answer here: How Is the OAR Test Scored?

The Perfect Prep Books for the OAR Math Test

Have any questions about the OAR Test?

Write your questions about the OAR or any other topics below and we’ll reply!

Related to "Top 10 OAR Math Practice Questions"

Top 5 Free Websites for OAR Math PreparationTop 5 Free Websites for OAR Math Preparation
How Is the OAR Test Scored?How Is the OAR Test Scored?
OAR Math Worksheets: FREE & PrintableOAR Math Worksheets: FREE & Printable
The Ultimate OAR Math Course (+FREE Worksheets & Tests)The Ultimate OAR Math Course (+FREE Worksheets & Tests)
OAR Math FormulasOAR Math Formulas
FREE OAR Math Practice TestFREE OAR Math Practice Test
10 Most Common OAR Math Questions10 Most Common OAR Math Questions
OAR Math FREE Sample Practice QuestionsOAR Math FREE Sample Practice Questions
OAR Math Practice Test QuestionsOAR Math Practice Test Questions
How to Prepare for the OAR Math Test?How to Prepare for the OAR Math Test?

What people say about "Top 10 OAR Math Practice Questions"?

No one replied yet.

Leave a Reply