Top 10 ASTB Math Practice Questions
Start your ASTB Math test prep journey right now with these sample ASTB Math questions.
The Absolute Best Book to Ace the ASTB Math Test
. 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 ASTB Math Prep Resource for 2026
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
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 ASTB Math test?
The Best Books to Ace the ASTB Math Test
Related to This Article
More math articles
- 6th Grade WY-TOPP Math Worksheets: FREE & Printable
- Praxis Core Math Worksheets: FREE & Printable
- 3rd Grade IAR Math Practice Test Questions
- How to Work with the Intermediate Value Theorem?
- How to Unlock the Secrets of Algebra 1: Mastering the Basics with the ‘Grade 9 Algebra 1 for Beginners’ Comprehensive Solution Guide
- How to Solve Rational Exponents?
- FREE AFOQT Math Practice Test
- How to Deciphering the Puzzle of Time: A Step-by-Step Guide to Solving Age Problems in Mathematics
- The Math Behind Slots: Understanding Probability and Payouts
- How to Write a Point-slope Form Equation from a Graph?
What people say about "Top 10 ASTB Math Practice Questions - Effortless Math: We Help Students Learn to LOVE Mathematics"?
No one replied yet.