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 2024
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 the FOIL method.
\((2x+2y)(2x-y) = 4x^2-2xy+4xy-2y^2=4x^2+2xy-2y^2\)
4- D
To solve absolute value 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
The median is the number in the middle. So, the median is 28
8- 8
Use the formula of rectangle prism volume.
\(V = (length) (width) (height) {\Rightarrow} 2000 = (25) (10) (height) {\Rightarrow} height = 2000 {\div} 250 = 8\)
9- C
The area of the circle is \(16 π\). Use the formula of areas of circles.
\(Area = πr^2 ⇒ 64 π> πr^2⇒ 64 > r^2⇒ r < 8\)
The 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 This Article
More math articles
- How Is the TSI Test Scored?
- Full-Length ISEE Middle Level Math Practice Test-Answers and Explanations
- How to Determine Functions?
- 5 Best Desks for Online Math Teachers in 2024
- How to Find the Constant of Variation
- The Ultimate ATI TEAS 7 Math Formula Cheat Sheet
- SIFT Math FREE Sample Practice Questions
- 10 Most Common 8th Grade SBAC Math Questions
- Overview of the ISEE Middle-Level Mathematics Test
- Top 10 6th Grade MEAP Math Practice Questions
What people say about "Top 10 OAR Math Practice Questions - Effortless Math: We Help Students Learn to LOVE Mathematics"?
No one replied yet.