10 Most Common PSAT Math Questions
B. \(14.5\)
C. \(14\)
D. \(13.5\)
Best PSAT Math Prep Resource for 2026
Answers:
1- C
First, find the factors of numerator and denominator of the expression. Then simplify.
\(\frac{5x^2+75x-80}{x^2-1}=\frac{5(x^2+15x-16)}{(x-1)(x+1)}\)
\(\frac{5(x+16)(x-1)}{ (x-1)(x+1)}=\frac{5(x+16)}{ (x+1)} \)
\(=\frac{(5x+80)}{ (x+1)} \)
2- A
If \(r=55→ \frac{x^2+6x-55}{x-5}\) = \(\frac{(x+11)(x-5)}{x-5}\) \(= x + 11\)
For all other options, the numerator expression is not divisible by \((x-5)\).
3- D
Plug in the values of \(x\) and \(y\) in the equation of the parabola. Then:
\(12=a(2)^2+5(2)+10→12=4a+10+10→12=4a+20\)
\(→4a=12-20=-8→a=\frac{-8}{4}=-2→a^2=(-2)^2=4\)
4- 50
\(\frac{y}{4} = x – \frac{2}{5}x + 10 \)
Multiply both sides of the equation by \(5\). Then:
\(5×\frac{y}{4} = 5× (x – \frac{2}{5}x + 10)\)
\(→y=5x-2x+50→y=3x+50\)
Now, subtract \(3x\) from both sides of the equation. Then:
\(y – 3x = 50\)
5- 4
First, factorize the numerator and simplify.
\(\frac{(x-3)(x+3)}{x+3}+2x+8=17\)
\(→x-3+2x+8=15→3x+5=17\)
Subtract \(5\) from both sides of the equation. Then:
\(→3x=17-5→x=\frac{12}{3} x=4\)
6- 25
\(\frac{100x^2 y^4}{4x^2 y^4}\)
Remove \(x^2 y^4\) from both numerator and denominator.
\(\frac{100x^2 y^4}{4x^2 y^4}=\frac{100}{4}=\frac{50}{2}=25\)
7- 1
Remember that, the reflection of the point \((x,y)\) over the line \(y=x\) is the point \((y,x)\). Then:
The reflected point of \(A(2,-1)\), is \((-1,2)\)
The reflected point of \(B(6,3)\) is point \((3,6)\)
Therefore, the slope of the reflected line is:
\(\frac{y_{2} – y_{1}}{x_{2} – x_{1}}=\frac{6-2}{3-(-1)}=\frac{4}{4} \space or\space 1\)
8- C
The amount of petrol consumed after \(x\) hours is: \(6 × x = 6x\)
Petrol remaining after \(x\) hours driving: \(80 – 6x\)
9- D
Let \(x\) be the integer. Then:
\(2x – 5 = 83\)
Add 5 both sides: \(2x = 88\)
Divide both sides by \(2:\) \(x = 44\)
10- B
\(mean) = \frac{sum \space of \space terms}{number \space of \space terms}=\frac{9+12+15+16+19+16+14.5}{7}=14.5\)
College Entrance Tests
Looking for the best resource to help you succeed on the PSAT Math test?
The Best Books to Ace the PSAT Math Test
Related to This Article
More math articles
- 5th Grade Common Core Math Worksheets: FREE & Printable
- SAT versus PSAT: What You Need to Know
- 10 Most Common 8th Grade SBAC Math Questions
- 6th Grade ISTEP Math Worksheets: FREE & Printable
- Subtracting Decimals for 5th Grade: Regrouping and Practice
- GED Test: Everything You Need to Know
- 10 Most Common ParaPro Math Questions
- How to Solve Integers and Absolute Value Problems? (+FREE Worksheet!)
- The Best TSI Math Worksheets: FREE & Printable
- 8th Grade MCAS Math Worksheets: FREE & Printable
What people say about "10 Most Common PSAT Math Questions - Effortless Math: We Help Students Learn to LOVE Mathematics"?
No one replied yet.