SAT Math quiz

Mixed SAT Math Practice Quizzes

Practice 10 mixed SAT Math questions combining Algebra, Advanced Math, Problem-Solving and Data Analysis, Geometry and Trigonometry, and multi-step mathematical modeling. Use hints when needed and review the explanation after each answer.

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1 Question 1 of 10

Not answered

Solve for x: 3(2x + 1) = 5x + 14

Hint: Distribute 3, then collect the x-terms on one side.

Explanation: Distribute: 6x + 3 = 5x + 14. Subtract 5x to get x + 3 = 14. Therefore, x = 11.

2 Question 2 of 10

Not answered

What is the greater solution of x² - 2x - 15 = 0?

Hint: Factor the quadratic using two numbers that multiply to -15 and add to -2.

Explanation: x² - 2x - 15 = (x - 5)(x + 3). The solutions are x = 5 and x = -3, so the greater solution is 5.

3 Question 3 of 10

Not answered

A survey of 250 randomly selected students finds that 42% prefer online homework. Based on the sample, about how many of 1,800 students at the school would be expected to prefer online homework?

Hint: Use 42% of the school population as the estimate.

Explanation: Estimate 42% of 1,800: 0.42 × 1,800 = 756. About 756 students would be expected to prefer online homework.

4 Question 4 of 10

Not answered

A circle has radius 8. What is the area of a 90° sector of the circle?

Hint: A 90° sector is one-fourth of the circle.

Explanation: The full circle area is π(8²) = 64π. A 90° sector is 90/360 = 1/4 of the circle, so the sector area is 64π ÷ 4 = 16π.

5 Question 5 of 10

Not answered

At a concert, adult tickets cost $18 and student tickets cost $12. A total of 150 tickets are sold for $2,340. How many adult tickets were sold?

Hint: Let a be adult tickets and use 150 - a for student tickets.

Explanation: Write 18a + 12(150 - a) = 2,340. Then 18a + 1,800 - 12a = 2,340, so 6a = 540 and a = 90.

6 Question 6 of 10

Not answered

A quantity is modeled by Q(t) = 320(1.25)^t. What is Q(2)?

Hint: Substitute t = 2 and apply the growth factor twice.

Explanation: Q(2) = 320(1.25)² = 320 × 1.5625 = 500.

7 Question 7 of 10

Not answered

A bag contains 4 red, 6 blue, and 5 green marbles. One marble is selected at random. What is the probability that it is red or green?

Hint: Count the red and green marbles together, then divide by the total.

Explanation: There are 4 + 5 = 9 favorable marbles out of 15 total. The probability is 9/15 = 3/5.

8 Question 8 of 10

Not answered

In a right triangle, sin θ = 5/13. If θ is acute, what is cos θ?

Hint: A 5-12-13 right triangle matches sin θ = opposite/hypotenuse = 5/13.

Explanation: If the opposite side is 5 and the hypotenuse is 13, the adjacent side is 12 by the Pythagorean theorem. Therefore, cos θ = adjacent/hypotenuse = 12/13.

9 Question 9 of 10

Not answered

A store marks a $160 item down by 25%, then charges 8% sales tax on the discounted price. What is the final price?

Hint: Apply the discount first, then apply tax to the discounted price.

Explanation: After the 25% discount, the price is $160 × 0.75 = $120. Applying 8% tax gives $120 × 1.08 = $129.60.

10 Question 10 of 10

Not answered

A linear function f satisfies f(2) = 7 and f(6) = 19. What is f(10)?

Hint: Find the slope from the two given points, then continue the linear pattern.

Explanation: The slope is (19 - 7)/(6 - 2) = 12/4 = 3. From x = 6 to x = 10 is an increase of 4, so f increases by 3 × 4 = 12. Therefore, f(10) = 19 + 12 = 31.

Your result

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Mixed SAT Math Practice

Mixed practice removes the topic label, so the first task is deciding what kind of mathematics you are looking at

These 10 questions deliberately switch among Algebra, Advanced Math, Problem-Solving and Data Analysis, Geometry and Trigonometry, and contextual multi-step reasoning. That makes the set closer to exam conditions: you must recognize the domain before choosing a method.

Algebra

Advanced Math

Data Analysis

Geometry & Trig

Strategy switching

Mixed SAT sets test how quickly you can switch representations

Equationisolate a variable

Quadraticfactor or transform

Dataratio, probability, inference

Geometrydiagram and relationship

Modelingtranslate the context

Question triage

The first few seconds should identify structure, not start random arithmetic

Fast recognition What domain is this?

Linear, nonlinear, proportional, statistical, geometric, or mixed-context?

Best representation What form exposes the answer?

Equation, factorization, unit rate, diagram, table, or substitution?

Answer check What should the result look like?

Sign, unit, scale, probability range, or geometric size can reject bad answers quickly.

Algebra 3(2x + 1) = 5x + 14 → x = 11

Advanced Math x² − 2x − 15 = (x − 5)(x + 3)

Data vs geometry

Two questions can use similar arithmetic but require completely different interpretations

Data estimate

A sample proportion of 42% is used to estimate a count in a larger school population.

0.42 × 1800 = 756

Geometry fraction

A 90° sector is one-fourth of a circle, so the area is one-fourth of 64π.

(90/360)(64π) = 16π

Multi-step contextual chain

In mixed practice, a contextual problem may combine two familiar operations in one question

The discount-and-tax question is easy only if the percentages are applied in the correct order.

1Original$160

225% discount$160 × 0.75 = $120

38% tax$120 × 1.08

4Final$129.60

Mixed-set diagnostic

A mixed score matters less than the pattern of missed domains

After the quiz, classify each error before deciding what to practice next.

Algebralinear equations, systems, functions

Advanced Mathquadratics, exponentials, nonlinear structure

Data Analysisratios, probability, samples, percentages

Geometry & Trigcircles, angles, right triangles, measurement

SAT Math Quizzes SAT Algebra SAT Advanced Math