12 Free Questions. Updated Monthly.

Answer three questions from each SAT Math domain, then check your score and explanations when you finish.

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Algebra

Question 1Building a linear function from two valuesMedium

A linear function g satisfies g(3) = 22 and g(7) = 38. Which equation defines g?

Question 2Determining when a linear equation has no solutionHard

For which value of k does the equation 5(2x + 4) = kx + 41 have no solution?

Question 3Creating and solving a system in contextHard

At a school performance, 30 tickets were sold. Adult tickets cost $14 and student tickets cost $8. The ticket revenue was $300. How many adult tickets were sold?

Advanced Math

Question 1Interpreting zeros of a quadratic modelMedium

The height of an object is modeled by h(t)=−2(t−3)(t−7), where t is measured in seconds. At what positive value of t does the object return to a height of 0?

Question 2Quadratics with one real solutionHard

The equation x² − 8x + c = 0 has exactly one real solution. What is the value of c?

Question 3Factor theorem with a parameterHard

The polynomial p(x)=x²−7x+k has x−4 as a factor. What is the value of k?

Problem Solving & Data Analysis

Question 1Multi-step rates and unit conversionMedium

A machine produces 80 parts every 8 minutes at a constant rate. The parts are packed 5 to a box. How many complete boxes can the machine fill in 2 hours?

Question 2Reverse percent changeHard

After a 20% discount, an item costs $80. What was the price of the item before the discount?

Question 3Weighted meansHard

One class of 24 students has a mean test score of 72. Another class of 12 students has a mean score of 78. What is the mean score of all 36 students?

Geometry & Trigonometry

Question 1Rectangles and the Pythagorean theoremMedium

A rectangle has width 12 and diagonal 20. What is its perimeter?

Question 2Volume scale factorsHard

A cylinder’s radius is multiplied by 4, and its height is divided by 3. By what factor is the cylinder’s volume multiplied?

Question 3Tangents and the Pythagorean theoremHard

Point P is 11 units from the center of a circle with radius 7. A tangent from P touches the circle at T. What is the length of PT?

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