100+ Free SBAC Math High School Practice Questions

Pass your Smarter Balanced Mathematics Summative Assessment, Grade 11 exam on the first try — instant access, no signup required.

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A recipe uses 3 cups of flour for 12 muffins. At the same rate, how many cups of flour are needed for 30 muffins?

6 cups

7.5 cups

120 cups

9 cups

to track

2026 Statistics

Key Facts: SBAC Math High School Exam

Grade 11

High school Smarter Balanced mathematics grade in CAASPP

CAASPP Smarter Balanced Assessments for ELA and Mathematics

CAT + PT

Official assessment structure

Smarter Balanced Summative Assessments

33-36 CAT + 4-6 PT items

Grade 11 mathematics full blueprint item range

Smarter Balanced Full and Adjusted Form Blueprints

2 hr 30 min estimated

Grade 11 mathematics estimated testing time

CAASPP Get Answers: Estimated Testing Times

2628

Grade 11 mathematics Standard Met cut score

CAASPP Scale Score Ranges

Common Core high school conceptual categories

Common Core State Standards for Mathematics

SBAC Math High School is the Smarter Balanced Grade 11 Common Core mathematics summative assessment: an untimed CAT plus performance task covering high school algebra, functions, geometry, statistics, number and quantity, modeling, problem solving, and reasoning.

Sample SBAC Math High School Practice Questions

Try these sample questions to test your SBAC Math High School exam readiness. Each question includes a detailed explanation. Start the interactive quiz above for the full 100+ question experience with AI tutoring.

1Which expression is equivalent to x^2 - 9?

A.(x - 3)(x + 3)

B.(x - 3)^2

C.(x + 3)^2

D.(x - 9)(x + 1)

Explanation: x^2 - 9 is a difference of two squares, a^2 - b^2 = (a - b)(a + b), with a = x and b = 3. This factors to (x - 3)(x + 3). Multiplying back gives x^2 + 3x - 3x - 9 = x^2 - 9.

2Solve for x: 3x - 7 = 2x + 5.

A.12

B.-2

C.2

D.-12

Explanation: Subtract 2x from both sides to get x - 7 = 5, then add 7 to both sides to get x = 12. Checking: 3(12) - 7 = 29 and 2(12) + 5 = 29, so the solution is correct.

3What are the solutions to x^2 - 5x + 6 = 0?

A.x = 2 and x = 3

B.x = -2 and x = -3

C.x = 1 and x = 6

D.x = -1 and x = -6

Explanation: Factor the quadratic into (x - 2)(x - 3) = 0 because -2 and -3 multiply to 6 and add to -5. Setting each factor to zero gives x = 2 and x = 3.

4A line passes through points (1, 2) and (3, 8). What is its slope?

A.3

B.2

C.1/3

D.6

Explanation: Slope equals the change in y over the change in x: (8 - 2)/(3 - 1) = 6/2 = 3. The line rises 3 units for every 1 unit it moves right.

5Which expression is the complete factorization of x^2 + 7x + 12?

A.(x + 3)(x + 4)

B.(x + 2)(x + 6)

C.(x + 1)(x + 12)

D.(x - 3)(x - 4)

Explanation: Find two numbers that multiply to 12 and add to 7: those are 3 and 4. So x^2 + 7x + 12 = (x + 3)(x + 4). Expanding confirms x^2 + 4x + 3x + 12 = x^2 + 7x + 12.

6Solve the inequality: 2x + 3 < 11.

A.x < 4

B.x > 4

C.x < 7

D.x > 7

Explanation: Subtract 3 from both sides to get 2x < 8, then divide by 2 to get x < 4. The inequality direction does not change because 2 is positive.

7What is the y-intercept of the line y = -2x + 5?

A.5

B.-2

C.-5

D.2

Explanation: In slope-intercept form y = mx + b, the y-intercept is b. Here b = 5, so the line crosses the y-axis at (0, 5). Substituting x = 0 gives y = 5.

8Simplify the expression: (2x^3)(4x^2).

A.8x^5

B.8x^6

C.6x^5

D.8x^1

Explanation: Multiply the coefficients: 2 times 4 = 8. Add the exponents of like bases: x^3 times x^2 = x^(3+2) = x^5. The product is 8x^5.

9A savings account starts at $500 and grows 4% per year. Which function models the balance after t years?

A.B(t) = 500(1.04)^t

B.B(t) = 500(0.04)^t

C.B(t) = 500 + 0.04t

D.B(t) = 500(4)^t

Explanation: Exponential growth uses the form B(t) = a(1 + r)^t, where a = 500 is the starting value and r = 0.04 is the growth rate. So the growth factor is 1.04 and B(t) = 500(1.04)^t.

10Solve the system: y = 2x + 1 and y = -x + 7.

A.(2, 5)

B.(5, 2)

C.(2, 7)

D.(1, 3)

Explanation: Set the expressions equal: 2x + 1 = -x + 7. Adding x to both sides gives 3x + 1 = 7, so 3x = 6 and x = 2. Substituting back, y = 2(2) + 1 = 5, giving the point (2, 5).

About the SBAC Math High School Exam

The SBAC Mathematics High School assessment is the Smarter Balanced Grade 11 mathematics summative assessment used by participating states to measure college- and career-readiness aligned to the Common Core State Standards. It is delivered online as a computer-adaptive test plus a performance task. The Grade 11 blueprint reports four mathematics claims: Concepts and Procedures; Problem Solving; Communicating Reasoning; and Modeling and Data Analysis. Claim 1 samples high school targets in expressions, equations, inequalities, functions, right-triangle trigonometry, data, rational exponents, rational and irrational numbers, and quantitative reasoning with units. The other claims require students to solve contextual problems, explain and critique reasoning, build or improve mathematical models, and interpret data in real-world settings. In California, students in grade eleven take the Smarter Balanced mathematics assessment as part of CAASPP. Scores are reported as scale scores and achievement levels rather than pass/fail grades, with Grade 11 Mathematics Standard Met beginning at 2628 on the CAASPP reporting scale.

Assessment

Official Grade 11 mathematics forms combine a computer-adaptive test and a performance task. The full Smarter Balanced blueprint specifies about 33-36 CAT items and 4-6 performance-task items across four mathematics claims.

Time Limit

Untimed; current CAASPP guidance estimates Grade 11 mathematics testing time at about 1 hour for the CAT plus 1 hour 30 minutes for the performance task, about 2 hours 30 minutes total.

Passing Score

CAASPP reports Grade 11 Mathematics scale scores from 2280 to 2900. Standard Met is 2628-2717 and Standard Exceeded is 2718-2900; Level 3 or higher indicates the high school standard is met or exceeded.

Exam Fee

No direct fee to students or families; the assessment is administered through participating state and local education agencies, such as CAASPP in California. (Smarter Balanced Assessment Consortium, administered through member state education agencies and local education agencies; in California, through CAASPP)

SBAC Math High School Exam Content Outline

19-22 CAT items

Claim 1: Concepts and Procedures

Expressions, equivalent forms, polynomial arithmetic, creating equations, solving equations and inequalities, graphical solution reasoning, function notation, interpreting and analyzing functions, building functions, right-triangle trigonometry, data on one variable, rational exponents, number systems, and units.

3 CAT items plus 1-2 PT items

Claim 2: Problem Solving

Apply mathematics to solve well-posed problems, choose tools strategically, interpret results in context, and map relationships among important quantities.

8 CAT items plus 0-2 PT items

Claim 3: Communicating Reasoning

Test propositions with examples, justify or refute conjectures, identify flawed reasoning, state assumptions, and reason from diagrams, drawings, or concrete referents.

3 CAT items plus 1-3 PT items

Claim 4: Modeling and Data Analysis

Develop mathematical models, interpret and improve models, identify important quantities, analyze data, synthesize information, and solve practical problems in context.

Integrated Common Core categories

High School Mathematics Content

Number and Quantity, Algebra, Functions, Modeling, Geometry, and Statistics and Probability are the Common Core high school conceptual categories reflected across the SBAC Grade 11 mathematics targets.

How to Pass the SBAC Math High School Exam

What You Need to Know

Passing score: CAASPP reports Grade 11 Mathematics scale scores from 2280 to 2900. Standard Met is 2628-2717 and Standard Exceeded is 2718-2900; Level 3 or higher indicates the high school standard is met or exceeded.
Assessment: Official Grade 11 mathematics forms combine a computer-adaptive test and a performance task. The full Smarter Balanced blueprint specifies about 33-36 CAT items and 4-6 performance-task items across four mathematics claims.
Time limit: Untimed; current CAASPP guidance estimates Grade 11 mathematics testing time at about 1 hour for the CAT plus 1 hour 30 minutes for the performance task, about 2 hours 30 minutes total.
Exam fee: No direct fee to students or families; the assessment is administered through participating state and local education agencies, such as CAASPP in California.

Keys to Passing

Complete 500+ practice questions
Score 80%+ consistently before scheduling
Focus on highest-weighted sections
Use our AI tutor for tough concepts

SBAC Math High School Study Tips from Top Performers

1Start with algebra fluency: factoring, solving equations and inequalities, systems, quadratics, rational expressions, and rearranging formulas.

2Practice interpreting functions from equations, tables, graphs, and contexts, including average rate of change, domain restrictions, transformations, and exponential models.

3Review geometry targets that connect diagrams to calculations: similarity, congruence transformations, coordinate geometry, circles, right-triangle trigonometry, area, volume, and scale factors.

4Work statistics and probability questions that require interpretation, not just computation: residuals, lines of best fit, conditional probability, sampling, spread, and correlation versus causation.

5For modeling items, define variables and units before computing, then check that the answer is reasonable in the original context.

6Practice writing short justifications and identifying counterexamples because communicating reasoning is a separate Smarter Balanced mathematics claim.

Frequently Asked Questions

What is the SBAC high school mathematics assessment?

It is the Smarter Balanced Grade 11 Mathematics Summative Assessment, an online Common Core-aligned test that combines a computer-adaptive section with a performance task.

What grades take the Smarter Balanced math test?

CAASPP states that Smarter Balanced ELA and mathematics are taken in grades three through eight and grade eleven. Other member states administer the high school assessment according to their own state programs.

How many items are on the Grade 11 SBAC math test?

The Smarter Balanced Grade 11 Mathematics full blueprint specifies about 33-36 computer-adaptive test items and 4-6 performance-task items. This practice bank provides 100 original multiple-choice practice questions.

Is the SBAC high school math test timed?

The assessment is untimed. Current CAASPP guidance estimates about 1 hour for the Grade 11 mathematics CAT and about 1 hour 30 minutes for the performance task.

How is Grade 11 SBAC mathematics scored?

Scores are reported as scale scores and achievement levels. On the CAASPP 2020-21-and-forward scale, Grade 11 Mathematics Standard Met is 2628-2717 and Standard Exceeded is 2718-2900.

What math topics should I review?

Review high school algebra, equations and inequalities, functions, right-triangle trigonometry, geometry, statistics and probability, rational exponents, number systems, units, modeling, and explaining mathematical reasoning.