PSAT NMSQT LATEST 2026 EXAM QUESTIONS AND
SOLUTIONS RATED A+
✔✔Before s to indicate - ✔✔a singular entity possesses something
✔✔Sum of cubes!
(a+b)(a²-ab+b²) =
(2+x)(4-2x+x²) = - ✔✔a³+b³
8+x²
✔✔Difference of cubes!
(a-b)(a²+ab+b²) =
(y-4)(y²+4y+16) = - ✔✔a³-b³
y³-4³
✔✔Slope-intercept form - ✔✔y = mx + b
✔✔b =.... - ✔✔y intercept of the line
✔✔m... - ✔✔slope, rise/run
✔✔Slope formula - ✔✔(y₂-y₁)/(x₂-x₁)
✔✔Positive correlation - ✔✔x and y values both increase or both decrease
✔✔Negative correlation - ✔✔One increases, one decreases
✔✔Linear relationship - ✔✔Represented by constant slope
y=x
✔✔Quadratic relationship - ✔✔Between two variables, not constant slope
y = x²
✔✔Exponential relationship - ✔✔y = cb^x
✔✔Percentage formula - ✔✔part/whole * 100 = percent
✔✔What is 45% of 300? - ✔✔0.45 x 300 = 135
✔✔Ratios - ✔✔Set up and cross-multiply, when there is an x
✔✔Unit conversion - ✔✔Cancel out units you do not want, think CHEM
✔✔Scientific notation - ✔✔
, ✔✔5,348.00 - ✔✔3 to the left, 5.348 x 10³
✔✔0.00476 - ✔✔3 to the right, 4.76 x 10⁻³
✔✔Inequalities - ✔✔When multiplying by negative number, change direction of
inequality sign!!!
✔✔Exponent rules - ✔✔
✔✔x^ax^b - ✔✔x^(a+b)
✔✔x^a/x^b - ✔✔x^(a-b)
✔✔(x^a)^b - ✔✔x^ab
✔✔x^-a - ✔✔1/x^a
✔✔x^a/b - ✔✔b√x^a
✔✔What is the order? - ✔✔Power over root
✔✔Absolute value - ✔✔Distance from zero
✔✔|x+2| = 4 - ✔✔x + 2 = 4
x + 2 = -4
✔✔Probability equation - ✔✔Probability = number of successes/number of possible
outcomes
✔✔Independent counting problem - ✔✔Involves drawing and object and replacing it
before drawing it again.
What you pick the first time has no impact on what you pick the second time (coin flip)
✔✔Dependent counting problem - ✔✔Each choice depends on the last (drawing name
out of hat)
✔✔distance - ✔✔distance = rate x time
✔✔200 miles in 5 hours.... - ✔✔200 miles = x * 5 hours
✔✔Measures of center - ✔✔
SOLUTIONS RATED A+
✔✔Before s to indicate - ✔✔a singular entity possesses something
✔✔Sum of cubes!
(a+b)(a²-ab+b²) =
(2+x)(4-2x+x²) = - ✔✔a³+b³
8+x²
✔✔Difference of cubes!
(a-b)(a²+ab+b²) =
(y-4)(y²+4y+16) = - ✔✔a³-b³
y³-4³
✔✔Slope-intercept form - ✔✔y = mx + b
✔✔b =.... - ✔✔y intercept of the line
✔✔m... - ✔✔slope, rise/run
✔✔Slope formula - ✔✔(y₂-y₁)/(x₂-x₁)
✔✔Positive correlation - ✔✔x and y values both increase or both decrease
✔✔Negative correlation - ✔✔One increases, one decreases
✔✔Linear relationship - ✔✔Represented by constant slope
y=x
✔✔Quadratic relationship - ✔✔Between two variables, not constant slope
y = x²
✔✔Exponential relationship - ✔✔y = cb^x
✔✔Percentage formula - ✔✔part/whole * 100 = percent
✔✔What is 45% of 300? - ✔✔0.45 x 300 = 135
✔✔Ratios - ✔✔Set up and cross-multiply, when there is an x
✔✔Unit conversion - ✔✔Cancel out units you do not want, think CHEM
✔✔Scientific notation - ✔✔
, ✔✔5,348.00 - ✔✔3 to the left, 5.348 x 10³
✔✔0.00476 - ✔✔3 to the right, 4.76 x 10⁻³
✔✔Inequalities - ✔✔When multiplying by negative number, change direction of
inequality sign!!!
✔✔Exponent rules - ✔✔
✔✔x^ax^b - ✔✔x^(a+b)
✔✔x^a/x^b - ✔✔x^(a-b)
✔✔(x^a)^b - ✔✔x^ab
✔✔x^-a - ✔✔1/x^a
✔✔x^a/b - ✔✔b√x^a
✔✔What is the order? - ✔✔Power over root
✔✔Absolute value - ✔✔Distance from zero
✔✔|x+2| = 4 - ✔✔x + 2 = 4
x + 2 = -4
✔✔Probability equation - ✔✔Probability = number of successes/number of possible
outcomes
✔✔Independent counting problem - ✔✔Involves drawing and object and replacing it
before drawing it again.
What you pick the first time has no impact on what you pick the second time (coin flip)
✔✔Dependent counting problem - ✔✔Each choice depends on the last (drawing name
out of hat)
✔✔distance - ✔✔distance = rate x time
✔✔200 miles in 5 hours.... - ✔✔200 miles = x * 5 hours
✔✔Measures of center - ✔✔
