If 5(x-2)=3x+10, what is the value of x?
Use the distributive property and isolate x.
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The graph of the equation y=2x^2+8x+c passes through the point (1, 15). What is the value of c?
Substitute the point (x, y) into the equation and solve for c.
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Which of the following equations represents a line that is perpendicular to the line passing through the points (1, 4) and (3, 0)?
Perpendicular slopes are negative reciprocals. Calculate the slope of the line passing through the given points.
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If a+b=15 and a-b=5, what is the value of a^2-b^2?
Recognize the difference of squares identity.
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The graph of the function f(x)=(x-3)(x+k) has a minimum value at x=1. What is the value of k?
The minimum of a parabola occurs halfway between its roots (x-intercepts).
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A polynomial P(x) is defined by P(x)=x^3-9x^2+20x. Which of the following is NOT a root of P(x)?
Factor the polynomial to find its roots.
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The system of equations below has a solution (x, y). What is the value of 2x-y?
Use the elimination method to solve for x and y, then substitute.
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A clothing store is having a sale where every item is 30% off the original price. A customer buys a jacket that originally cost 80 and then uses a 5 off coupon. What is the final cost of the jacket, in dollars, before sales tax?
Calculate the percentage discount first, then apply the coupon.
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A researcher surveys 400 people and finds that the mean amount of time they spend reading per week is 7.5 hours, with a margin of error of \pm 0.8 hours. Which of the following is the most appropriate conclusion?
The margin of error defines the confidence interval (range).
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A company's sales increased from 200 units in 2020 to 350 units in 2021. What was the percent increase in sales from 2020 to 2021?
Percent Increase = (New - Original) / Original * 100
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A student received scores of 82, 90, and 85 on the first three tests. If the student wants an average score of at least 88 after the fourth test, what is the minimum score the student must receive on the fourth test?
Total needed = (Number of tests) * (Target average).
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A machine fills bags with concrete mix. The machine is set to dispense 50 pounds per bag, but the actual weight has a tolerance of \pm 2 pounds. If W is the actual weight of a bag, which inequality represents the acceptable range of weights?
Absolute value represents the distance between the actual value and the target value.
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In a circle with center O, the radius is 10. Point P is on the circumference of the circle. If the angle formed by two radii to P and another point Q on the circumference, \angle POQ, measures 36^{\circ}, what is the length of the arc PQ?
Use the arc length formula: L = 2\pi r \cdot \frac{\theta}{360}
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A right triangular garden has legs measuring 15 feet and 20 feet. What is the perimeter of the garden, in feet?
First, find the hypotenuse using the Pythagorean theorem, then sum all sides for the perimeter.
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A cube has a total surface area of 150 square inches. What is the length of one side of the cube, in inches?
The surface area of a cube is A=6s^2.
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PSAT Math Practice Set
Math Mastery!
Outstanding command of PSAT Math concepts! You are proficient in Algebra, Geometry, and Data Analysis. Keep practicing timed sections.
Solid Math Skills!
You're demonstrating a strong grasp of the material. Review the areas you missed (especially word problems or absolute value) to secure a top score.
Practice Needed!
Focus your study time on the foundational topics of Algebra and Problem Solving. Consistent practice and reviewing formulas will lead to rapid improvement.
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