100+ Free SBAC Math Grade 8 Practice Questions

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

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2026 Statistics

Key Facts: SBAC Math Grade 8 Exam

SBAC Grade 8 Mathematics is a free, Common Core-aligned online summative assessment with a CAT and performance task, emphasizing linear equations, functions, geometry, irrational numbers, and bivariate data across the four Smarter Balanced math claims.

Sample SBAC Math Grade 8 Practice Questions

Try these sample questions to test your SBAC Math Grade 8 exam readiness. Each question includes a detailed explanation. Start the interactive quiz above for the full 100+ question experience with AI tutoring.

1Which property of integer exponents correctly simplifies 3^4 × 3^2?

A.3^6

B.3^8

C.9^6

D.6^6

Explanation: When multiplying powers with the same base, you add the exponents: 3^4 × 3^2 = 3^(4+2) = 3^6. The base stays the same.

2In a numerical expression using exponent rules, what is the value of 5^0?

A.1

B.0

C.5

D.Undefined

Explanation: Any nonzero number raised to the power of 0 equals 1. This follows from the quotient rule: 5^n / 5^n = 5^0 = 1.

3Which expression is equivalent to 2^-3?

A.1/8

B.-8

C.-6

D.1/6

Explanation: A negative exponent means the reciprocal: 2^-3 = 1/(2^3) = 1/8. The negative sign does not make the value negative.

4A student is simplifying powers with the same base. Which expression is equivalent to (4^5) / (4^2)?

A.4^3

B.4^7

C.4^10

D.1^3

Explanation: When dividing powers with the same base, subtract the exponents: 4^5 / 4^2 = 4^(5-2) = 4^3. The base stays 4.

5What is (2^3)^2 written as a single power?

A.2^6

B.2^5

C.2^9

D.4^6

Explanation: To raise a power to a power, multiply the exponents: (2^3)^2 = 2^(3×2) = 2^6. The base stays 2.

6Which number is a solution to x^2 = 49?

A.7

B.24.5

C.2401

D.√7

Explanation: The solutions to x^2 = 49 are the square roots of 49, which are 7 and -7. Since 7^2 = 49, 7 is a valid solution.

7The cube root of a number is the value that can be multiplied by itself three times to get that number. What is the cube root of 27?

A.3

B.9

C.13.5

D.√27

Explanation: The cube root of 27 is the number that, multiplied by itself three times, equals 27. Since 3 × 3 × 3 = 27, the cube root is 3.

8The number 4,500,000 is written in scientific notation as which of the following?

A.4.5 × 10^6

B.45 × 10^5

C.4.5 × 10^5

D.0.45 × 10^7

Explanation: Scientific notation requires one nonzero digit before the decimal: 4,500,000 = 4.5 × 10^6 because the decimal moves 6 places left.

9What is 3.2 × 10^-4 written in standard form?

A.0.00032

B.0.0032

C.32000

D.0.000032

Explanation: A negative exponent of -4 moves the decimal point 4 places to the left: 3.2 × 10^-4 = 0.00032.

10Compute (3 × 10^5)(2 × 10^3) and express the result in scientific notation.

A.6 × 10^8

B.6 × 10^15

C.5 × 10^8

D.6 × 10^2

Explanation: Multiply the coefficients (3 × 2 = 6) and add the exponents (5 + 3 = 8): the product is 6 × 10^8.

About the SBAC Math Grade 8 Exam

The Smarter Balanced Mathematics Grade 8 Summative Assessment is an online, computer-adaptive Common Core-aligned test used by member states to measure eighth-grade progress toward college and career readiness. The assessment has a computer-adaptive section and a performance task and is organized around four claims: Concepts and Procedures, Problem Solving, Communicating Reasoning, and Modeling and Data Analysis. Grade 8 content covers irrational numbers and rational approximations, integer exponents and scientific notation, proportional relationships and slope, linear equations and systems, functions, transformations and similarity, angle relationships, the Pythagorean theorem, volumes of cylinders, cones, and spheres, scatter plots, lines of best fit, and two-way tables. Results are reported on a vertical scale with four achievement levels; in CAASPP reporting, Grade 8 mathematics Level 3 begins at 2586 and Level 4 begins at 2653. The test is untimed, but Smarter Balanced estimates about 3 hours total for most Grades 6-8 mathematics students on the full form.

Questions

100 scored questions

Time Limit

Untimed; Smarter Balanced estimates about 2 hours for the full-form Grades 6-8 mathematics computer-adaptive test and about 1 hour for the performance task, for about 3 hours total for most students.

Passing Score

CAASPP reports Grade 8 Mathematics on a 2265-2860 scale. Level 3 (Standard Met) starts at 2586, and Level 4 (Standard Exceeded) starts at 2653.

Exam Fee

No separate student exam fee; the assessment is administered through statewide public-school testing programs such as CAASPP. (Smarter Balanced Assessment Consortium, administered through member states and their testing vendors)

SBAC Math Grade 8 Exam Content Outline

16-20 items

Claim 1: Concepts and Procedures

Core Grade 8 targets: irrational numbers, radicals and integer exponents, slope and linear equations, systems, functions, congruence and similarity, Pythagorean theorem, volume, and bivariate data.

8-10 items

Claim 2 and Claim 4: Problem Solving, Modeling, and Data Analysis

Multi-step problems drawn across Grade 8 domains, including selecting tools, interpreting results, mapping relationships among quantities, and improving or evaluating mathematical models.

8-10 items

Claim 3: Communicating Reasoning

Constructing arguments, identifying flawed reasoning, testing conjectures, and justifying conclusions with equations, graphs, diagrams, and quantitative evidence.

4-6 items

Performance Task

An extended computer-delivered task requiring integrated reasoning and application across multiple Grade 8 mathematics standards.

How to Pass the SBAC Math Grade 8 Exam

What You Need to Know

Passing score: CAASPP reports Grade 8 Mathematics on a 2265-2860 scale. Level 3 (Standard Met) starts at 2586, and Level 4 (Standard Exceeded) starts at 2653.
Exam length: 100 questions
Time limit: Untimed; Smarter Balanced estimates about 2 hours for the full-form Grades 6-8 mathematics computer-adaptive test and about 1 hour for the performance task, for about 3 hours total for most students.
Exam fee: No separate student exam fee; the assessment is administered through statewide public-school testing programs such as CAASPP.

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 Grade 8 Study Tips from Top Performers

1Practice solving linear equations with rational coefficients, including equations requiring distribution and collecting like terms.

2Connect graphs, tables, equations, and verbal descriptions of functions so rate of change and initial value can be found from any representation.

3Review systems of equations by graphing, substitution, elimination, and inspection, and always interpret the intersection in context.

4Memorize and apply the Pythagorean theorem, distance on the coordinate plane, and the volume formulas for cylinders, cones, and spheres.

5Use nearby perfect squares and cubes to estimate irrational numbers without a calculator.

6For statistics items, describe association, clustering, outliers, line-of-best-fit predictions, and conditional relative frequencies from two-way tables.

Frequently Asked Questions

What is the SBAC Grade 8 mathematics assessment?

It is the Smarter Balanced summative mathematics test for eighth grade, aligned to the Common Core State Standards and delivered online as a computer-adaptive test plus a performance task.

What math topics are tested in Grade 8?

Grade 8 focuses on irrational numbers, radicals and integer exponents, scientific notation, slope and linear equations, systems of equations, functions, congruence and similarity, Pythagorean theorem, volume, scatter plots, lines of best fit, and two-way tables.

How is the SBAC Grade 8 math test scored?

Scores are reported on a vertical scale with four achievement levels. In CAASPP reporting, Grade 8 mathematics Level 3, Standard Met, begins at 2586, and Level 4, Standard Exceeded, begins at 2653.

What kinds of questions appear on the test?

Students see selected-response, constructed-response, equation or numeric-entry, graphing, table, and other technology-enhanced items, along with a performance task that applies mathematics to a real-world scenario.

Is there a time limit for SBAC Grade 8 math?

No. Smarter Balanced assessments are untimed, although the estimated testing time for Grades 6-8 mathematics is about 2 hours for the full-form CAT and 1 hour for the performance task.

How much does the SBAC Grade 8 math assessment cost?

There is no separate student exam fee. The assessment is administered through statewide public-school testing programs in Smarter Balanced member states, such as CAASPP in California.