SAT Math practice test: free drills for all four domains

The SAT Math section has 44 questions in 70 minutes, in two modules of 22, with a calculator allowed throughout. Pick a domain below for a free 12-question drill at the real pace of about 95 seconds a question, every step explained: Algebra, Advanced Math, Problem-Solving and Data Analysis, or Geometry and Trigonometry.

44
questions on the real section: 70 min
in two 35-minute modules: 4
domains, a free drill each: ~95 s
per question

Last checked 22 October 2026 · Section facts from College Board, read 22 October 2026

Free drills: 12 original SAT-style questions each, at the real module pace, then every step explained. No sign-up.

12
questions
19:05
time limit
Free
every answer explained

By the LifeScore Editorial Team · Updated 22 October 2026 · How we check facts · How this is scored

What math is on the SAT?

Algebra and Advanced Math make up about 70% of the section; Problem-Solving and Data Analysis and Geometry and Trigonometry about 15% each. Nothing goes beyond Algebra II and basic trigonometry.

Math domains (College Board), with the count in our practice module
Domain	Share of the section	In our module	What it covers
Algebra	about 35%	8	Linear equations, linear functions, systems of two equations and linear inequalities
Advanced Math	about 35%	8	Quadratics, exponentials, polynomials, rational and radical expressions, nonlinear systems
Problem-Solving and Data Analysis	about 15%	3	Ratios, rates, units, percentages, tables, statistics and probability
Geometry and Trigonometry	about 15%	3	Area and volume, lines and angles, triangles, right-triangle trigonometry and circles

About a quarter of real SAT Math questions ask you to type your own answer instead of choosing one. Our drills and mocks ask every question as multiple choice, so on those questions practise working the answer out before you look at the options; that habit carries over directly.

What Algebra is on the SAT?

Linear equations and inequalities, linear functions and their graphs, and systems of two linear equations, often wrapped in a word problem.

SAT-style question 1 · Linear equations
A phone plan costs $25 a month plus $0.10 for each text message. Last month the bill was $31.40. How many text messages were sent?
1. A64
2. B314
3. C56
4. D6
Worked answer
A: 64. Write the equation 25 + 0.10t = 31.40. Subtract 25 to get 0.10t = 6.40, so t = 64.
1. Set up: 25 + 0.10t = 31.40.
2. Subtract 25: 0.10t = 6.40.
3. Divide by 0.10: t = 64.
The trap: Dividing the whole bill by 0.10 (314) and forgetting the $25 monthly charge.

Slope-intercept form y = mx + b: m is the rate, b the starting value.
No solution: same slope, different intercepts. Infinitely many: the same line.
Multiplying an inequality by a negative flips the sign.

What is Advanced Math on the SAT?

Quadratics, exponential growth and decay, polynomials, rational and radical expressions, equivalent expressions and systems with a curve. It is the domain most worth drilling, because it is large and its questions are slow.

SAT-style question 2 · Quadratics
What is the sum of the solutions to 3x² - 12x + 5 = 0?
1. A4
2. B-4
3. C5/3
4. D12
Worked answer
A: 4. For ax² + bx + c = 0, the solutions add to -b/a. Here -(-12)/3 = 4. No need to solve the equation.
1. Identify a = 3, b = -12.
2. Sum of roots = -b/a.
3. -(-12)/3 = 4.
The trap: Using b alone (12) or forgetting the sign (-4).

Sum of roots -b/a, product c/a.
Vertex at x = -b/(2a).
Growth: start × (1 + rate)^time; decay: start × (1 - rate)^time.
Discriminant b² - 4ac: positive gives two real solutions, zero gives one, negative gives none.

Sixteen Math drills, every step shown

The SAT Pass Pack has four drills for each Math domain and eight full mocks, with the working for every answer.

The SAT Pass Pack gives you 8 full mocks on the real clock, 32 drills of 12 questions for the sections that cost you points, and a predictor that turns your mocks into the odds of reaching your target. One payment, no subscription, and your free score stays free.

Prep courses for these tests usually cost $19 to $129. The SAT Pass Pack is US$39 (£29), once.

See the SAT Pass Pack How our questions are built and checked

8
timed mocks: 32
topic drills: 1
score predictor

What is Problem-Solving and Data Analysis?

Ratios, rates and unit conversions, percentages and percent change, reading tables and graphs, probability, and the mean, median and spread of data.

SAT-style question 3 · Percentages
A jacket's price is raised 20% and then the new price is cut by 20%. Compared with the original price, the final price is:
1. A4% lower
2. Bthe same
3. C4% higher
4. D40% lower
Worked answer
A: 4% lower. Multiply: 1.20 × 0.80 = 0.96, so the final price is 96% of the original, which is 4% lower.
1. A 20% rise multiplies by 1.20.
2. A 20% cut multiplies by 0.80.
3. 1.20 × 0.80 = 0.96: 4% lower.
The trap: Thinking the changes cancel. The cut is 20% of a bigger number, so it removes more than the rise added.

Percent change is always the change divided by the original. In a two-way table, the group named after "of" is the total you divide by: "what fraction of the juniors" divides by the junior total, not the grand total.

What geometry is on the SAT?

Area and volume, lines and angles, triangles (including similar and right triangles), sine, cosine and tangent, and circles, including the circle equation. A reference sheet of formulas is available in Bluebook.

SAT-style question 4 · Circles
A circle in the xy-plane has the equation (x + 3)² + (y - 4)² = 36. What are its center and radius?
1. ACenter (-3, 4), radius 6
2. BCenter (3, -4), radius 6
3. CCenter (-3, 4), radius 36
4. DCenter (3, 4), radius 18
Worked answer
A: Center (-3, 4), radius 6. The form (x - h)² + (y - k)² = r² has center (h, k). x + 3 is x - (-3), so h = -3; k = 4; r² = 36, so r = 6.
1. Rewrite x + 3 as x - (-3): h = -3.
2. y - 4: k = 4.
3. r² = 36, so r = 6.
The trap: Taking the signs as written (3, -4), or giving 36 as the radius instead of its square root.

The reference sheet helps, but looking things up costs time. Know the Pythagorean triples (3-4-5, 5-12-13, 8-15-17), SOH-CAH-TOA and the circle equation by heart, and keep the sheet for volume formulas.

Can you use a calculator on SAT Math, and how should you pace it?

Yes, on every Math question: Desmos is built into Bluebook, and an approved handheld calculator is also allowed. Pace at about 95 seconds a question, faster on the early, easier questions.

Desmos is fastest for graphing two equations to see where they meet, or for checking a quadratic's roots. For most linear algebra, solving by hand is quicker than typing. Practise both ways during drills, so on test day you choose without thinking.

The slips that cost the most points are small: a dropped negative sign when distributing, a percent change divided by the new value, the diameter used where a formula needs the radius, or an answer for x when the question asked for 2x. Before you choose, reread the last line of the question and check that your number answers it.

Then put it together: the free SAT practice test ends with a full Math module of 22 questions in 35 minutes. Reading and Writing drills are on the SAT Reading and Writing practice test page, and the SAT score calculator shows how a Math section score compares with the 530 benchmark.

Frequently asked questions

How many math questions are on the SAT?

44, in two modules of 22 questions and 35 minutes each.

Is there a no-calculator section?

No. The digital SAT allows a calculator on every Math question.

What is the hardest SAT math topic?

For most students, Advanced Math: nonlinear functions, quadratics and exponential models. It is also about 35% of the section, so it rewards the most practice.

Are formulas given on the SAT?

Yes. A reference sheet with area, volume and triangle formulas is available in Bluebook. The circle equation and trig ratios are worth memorizing anyway.

Is this the real SAT?

No. It is an SAT-style practice test with original questions written for LifeScore. The real SAT is given by College Board in the Bluebook app. LifeScore is not affiliated with College Board.

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