Question bank / SAT / SAT Math SAT Math practice questions Original, AI-authored English practice with worked guidance. Selected topics only; independent teacher review is pending. This is not a complete syllabus, official past-paper collection or predicted exam score. SubjectScout is not affiliated with or endorsed by College Board. SAT practice is not a full adaptive test; AP practice does not simulate an entire exam.
28 original questions across 4 selected topic areas. No account or payment required to practise.
All topics Algebra (7) Advanced Math (6) Problem-Solving and Data Analysis (9) Geometry and Trigonometry (6) Official SAT framework reference (framework only, not a source of copied questions).
Topic All topics Algebra Advanced Math Problem-Solving and Data Analysis Geometry and Trigonometry Skill All skills Linear equations in one variable Linear equations in two variables Linear functions Systems of two linear equations Linear inequalities Equivalent expressions Nonlinear equations and systems Nonlinear functions Ratios, rates, proportions and units Percentages One-variable data: centre and spread Two-variable data and models Probability and conditional probability Sample inference and margin of error Observational studies and experiments Area and volume Lines, angles and triangles Right triangles and trigonometry Circles Practice view All questions Unanswered Bookmarked Review mistakes Difficulty All levels Foundation Standard Challenge Search questions
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Loading saved progress Question 1 · Algebra · foundation
If 3(2x - 5) = 21, what is x? A. 1B. 4C. 6D. 12Check answer Question 2 · Algebra · foundation
The equations x + y = 11 and 2x - y = 4 hold. What is y? A. 4B. 5C. 6D. 7Check answer Question 3 · Advanced Math · foundation
What is the larger solution of x^2 - 7x + 10 = 0? A. 2B. 5C. 7D. 10Check answer Question 4 · Advanced Math · foundation
A model gives P(t) = 800(1.05)^t for t years after an initial measurement. What annual percentage increase does it represent? A. 0.05%B. 1.05%C. 5%D. 105%Check answer Question 5 · Problem-Solving and Data Analysis · foundation
A jacket costs $80 before a 15% discount. What is its discounted price, before tax? A. $12B. $65C. $68D. $92Check answer Question 6 · Problem-Solving and Data Analysis · foundation
A bag contains 4 red, 3 blue and 5 green counters. One counter is chosen at random, each equally likely. What is the probability it is blue? A. 1/4B. 1/3C. 3/5D. 3/8Check answer Question 7 · Geometry and Trigonometry · foundation
A right triangle has perpendicular sides of lengths 6 and 8. What is the hypotenuse length? A. 7B. 10C. 14D. 100Check answer Question 8 · Geometry and Trigonometry · foundation
A circle has radius 3. What is its area? A. 3 piB. 6 piC. 9 piD. 18 piCheck answer Question 9 · Algebra · challenge
For what value of a do ax + 6y = 12 and 2x + 3y = 6 represent the same line? A. 2B. 3C. 4D. 6Check answer Question 10 · Algebra · standard
A taxi charges a fixed fee plus $2 per kilometre. A 7 km trip costs $19. What is the fixed fee? A. $2B. $5C. $12D. $14Check answer Question 11 · Advanced Math · challenge
For what value of k does x^2 - 6x + k = 0 have exactly one distinct real solution? A. 3B. 6C. 9D. 36Check answer Question 12 · Advanced Math · challenge
Which real value solves sqrt(x + 6) = x, where sqrt denotes the nonnegative square root? A. -3B. -2C. 2D. 3Check answer Question 13 · Problem-Solving and Data Analysis · standard
Ten students have a mean score of 72 and fifteen other students have a mean score of 82. What is the combined mean? A. 77B. 78C. 79D. 80Check answer Question 14 · Problem-Solving and Data Analysis · challenge
In a group of 60 students, 30 study music and 18 play a sport; 12 do both. A student is selected at random from the music students. What is the probability that student plays a sport? A. 1/5B. 2/5C. 3/5D. 2/3Check answer Question 15 · Geometry and Trigonometry · standard
Two triangles are similar. Each side of the larger is three times the corresponding side of the smaller. If the smaller has area 7, what is the larger's area? A. 21B. 42C. 49D. 63Check answer Question 16 · Geometry and Trigonometry · standard
In a right triangle, an angle is 30 degrees and its opposite side has length 5. What is the hypotenuse length? A. 5B. 5 sqrt(3)C. 10D. 15Check answer Question 17 · Algebra · standard
A linear function f satisfies f(2) = 9 and f(6) = 21. What is f(0)? A. 3B. 6C. 9D. 12Check answer Question 18 · Algebra · standard
The point (4, b) lies on the line 3x + 2y = 22. What is b? A. 2B. 5C. 7D. 10Check answer Question 19 · Algebra · standard
A club has $180 for a $36 booking fee and tickets costing $12 each. What is the greatest whole number of tickets it can buy without exceeding its budget? A. 11B. 12C. 15D. 18Check answer Question 20 · Advanced Math · standard
For x != 3, which expression is equivalent to (x^2 - 9)/(x - 3)? A. x - 3B. x^2 + 3C. x + 3D. 1Check answer Question 21 · Problem-Solving and Data Analysis · standard
A cyclist travels at a constant 18 kilometres per hour. How many metres does the cyclist travel in 40 seconds? A. 120B. 200C. 720D. 1200Check answer Question 22 · Problem-Solving and Data Analysis · standard
For a dataset of plants observed from day 1 through day 20, the fitted line h = 2.4d + 5 models height h in centimetres on day d. What height does the model predict on day 10? A. 24 cmB. 25.4 cmC. 29 cmD. 74 cmCheck answer Question 23 · Problem-Solving and Data Analysis · standard
A random sample estimates that 62% of a city's adults support a proposal, with a margin of error of 4 percentage points. Which interval is formed by that estimate plus or minus the margin of error? A. 58% to 66%B. 60% to 64%C. 62% to 66%D. 4% to 62%Check answer Question 24 · Problem-Solving and Data Analysis · challenge
A researcher selects 120 seedlings available at one nursery, not a random sample of all plants, and randomly assigns them to fertilizer or no fertilizer, keeping light, water and soil conditions matched. Which conclusion best describes what random assignment supports? A. Any result automatically applies to every plant species.B. Random assignment guarantees identical heights in both groups.C. A difference in mean growth can never occur by chance.D. It helps support a causal comparison for these seedlings, but does not by itself establish generalization to all plants.Check answer Question 25 · Geometry and Trigonometry · standard
Two parallel lines are crossed by a transversal. A pair of interior angles on the same side of the transversal measures (3x + 10) degrees and 80 degrees. What is x? A. 20B. 30C. 40D. 90Check answer Question 26 · Geometry and Trigonometry · standard
A circle has equation (x - 2)^2 + (y + 3)^2 = 25. Which choice gives its centre and radius? A. Centre (-2, 3), radius 5B. Centre (2, -3), radius 25C. Centre (2, -3), radius 5D. Centre (-2, 3), radius 25Check answer Question 27 · Advanced Math · challenge
The curves y = x^2 and y = x + 2 intersect. What is the sum of the x-coordinates of their intersection points? A. -2B. -1C. 1D. 2Check answer Question 28 · Problem-Solving and Data Analysis · standard
Dataset A is 3, 5, 7, 9, 11. Dataset B is formed by adding 4 to every value in A. Which statement correctly compares their means and standard deviations? A. Both increase by 4.B. The mean increases by 4; the standard deviation is unchanged.C. The mean is unchanged; the standard deviation increases by 4.D. Both are unchanged.Check answer All SAT subjects
