Math Practice Questions
The Math section tests four domains across two adaptive 35-minute modules. Algebra and Advanced Math each make up about 35% of your math score—master those first, then sharpen Problem Solving and Geometry for the remaining points.
Math Domains
Algebra
~35% of Math sectionAlgebra is the backbone of the Math section, accounting for roughly a third of your total math score. Mastering linear equations, functions, and inequalities here directly translates to points—and builds the foundation for every advanced topic that follows.
Advanced Math
~35% of Math sectionAdvanced Math questions are where the test separates good scores from great scores. Covering quadratics, polynomials, exponentials, and equivalent expressions, these problems demand algebraic fluency and strategic thinking—exactly the skills that push scores above 650.
Problem Solving & Data Analysis
~15% of Math sectionProblem Solving & Data Analysis tests your ability to interpret real-world data, work fluently with ratios and percentages, and draw valid conclusions from statistics. These questions are calculator-permitted and reward careful reading of tables and graphs over raw computation.
Geometry & Trigonometry
~15% of Math sectionGeometry & Trigonometry questions cover area, volume, angle relationships, the Pythagorean theorem, and the basics of right-triangle trigonometry. A reference sheet with key formulas is provided during the test, but knowing when and how to apply each formula efficiently is the real skill being assessed.
About the Math Section
The Math section consists of two 35-minute modules of 22 questions each (44 total). The first module contains questions of mixed difficulty; your performance determines whether Module 2 is the easier or harder version. To reach a score above 650, you need to be routed into the harder Module 2.
The built-in graphing calculator is available for every question in the Math section. For Algebra and Advanced Math, this is a powerful tool for checking solutions and visualizing functions. Practice using the calculator strategically—it can turn a 90-second algebraic solve into a 30-second graph intersection.
Sample Math Questions
See all questionsIf 4x - 7 = 17, what is the value of x?
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Correct answer: C. x = 6
Explanation
Add 7 to both sides: 4x = 24. Divide both sides by 4: x = 6. Checking: 4(6) - 7 = 24 - 7 = 17. ✓
Solving 3(x + 4) = 27 gives what value of x?
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Correct answer: A. x = 5
Explanation
Divide both sides by 3: x + 4 = 9. Subtract 4: x = 5. Alternatively, distribute: 3x + 12 = 27, so 3x = 15, x = 5.
Which of the following is equivalent to 3x^2 + 6x?
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Correct answer: A. 3x(x + 2)
Explanation
Factor out the GCF of 3 and x: 3x^2 + 6x = 3x(x + 2). Choice B would equal 3x^2 + 18x. Choice C equals 6x^2 + 6x. Choice D is not valid.
Which expression is equivalent to (x + 3)(x - 3)?
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Correct answer: B. x^2 - 9
Explanation
This is a difference of squares: (x + 3)(x - 3) = x^2 - 3^2 = x^2 - 9. Choice C is (x-3)^2 = x^2 - 6x + 9.
A recipe calls for 3 cups of flour for every 2 cups of sugar. If a baker wants to use 9 cups of flour, how many cups of sugar are needed?
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Correct answer: C. 6
Explanation
Set up a proportion: 3/2 = 9/x. Cross-multiplying gives 3x = 18, so x = 6. The baker needs 6 cups of sugar.
A car travels 240 miles in 4 hours. At this constant rate, how many miles will the car travel in 7 hours?
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Correct answer: C. 420
Explanation
Rate = 240 miles / 4 hours = 60 miles per hour. In 7 hours: 60 × 7 = 420 miles.
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