Free Digital SAT Math practice questions

One or two original questions from each content domain. Answer them here and see a full explanation straight away. These are not official College Board questions.

Algebra

Question 1Linear equationsMedium

Solve $\dfrac{2x + 1}{3} = \dfrac{x - 2}{2}$ .

Question 2Systems of linear equationsMedium

If $2x + 3y = 13$ and $x - y = 4$ , what is the value of $x + y$ ?

Advanced Math

Question 3Quadratic equationsMedium

What is the positive solution of $x^2 + 2x - 15 = 0$ ?

Question 4Exponential growth and decayMedium

A machine is worth 1200 and its value decreases by 15% each year. Which function gives its value after t years?

Problem-Solving and Data Analysis

Question 5PercentagesMedium

After a $20\%$ increase, the price of a ticket is $96$ . What was the price before the increase?

Question 6Ratio and proportionMedium

$y$ is directly proportional to $x$ , and $y = 12$ when $x = 4$ . What is $y$ when $x = 10$ ?

Geometry and Trigonometry

Question 7Pythagoras and right-triangle trigonometryMedium

A right-angled triangle has a hypotenuse of 13 and one leg of 5. What is the length of the other leg?

Question 8Circles: area, arcs, sectors and equationsMedium

Which equation represents a circle with centre $(2, -3)$ and radius $4$ ?

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