10 Most Common PSAT 10 Math Questions
☐B. \(14.5\)
☐C. \(14\)
☐D. \(13.5\)
Best PSAT 10 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 10 Math test?
The Best Books to Ace the PSAT 10 Math Test
Related to This Article
More math articles
- How to Solve Inverse Trigonometric Functions?
- Top 20 Math Websites for Virtual Learning
- How to Mastering the Art of Function Transformations
- Top 10 6th Grade SBAC Math Practice Questions
- A Parents’ Guide To Supporting Teens With Their Math Skills
- 6th Grade ILEARN Math Worksheets: FREE & Printable
- How to Discover the Key to Math Mastery: “TABE Math for Beginners” Solution Manual Unveiled
- How to Find Missing Sides and Angles of a Right Triangle? (+FREE Worksheet!)
- The Best TABE Math Worksheets: FREE & Printable
- Unraveling More about Limits at Infinity
What people say about "10 Most Common PSAT 10 Math Questions - Effortless Math: We Help Students Learn to LOVE Mathematics"?
No one replied yet.