All Practice Exams

Free Practice Questions for PSSA Grade 8 Mathematics

Exam-style questions and explanations by OpenExamPrep.

✓ No registration✓ No credit card
100+ Questions
100% Free

Loading practice questions...

Exam Review

Key Facts: PSSA Grade 8 Mathematics Exam

100 Questions

Full Practice Bank Size

OpenExamPrep Bank

4 Reporting Categories

PA Core Grade 8 Math Domains

PDE

Proficient ≥ 1284

Target Benchmark Scaled Score

PDE PSSA Performance Levels

The PSSA Grade 8 Math exam measures 8th-grade student proficiency across four PA Core reporting categories: Algebraic Concepts (35%), Numbers & Operations (25%), Geometry (25%), and Data Analysis & Probability (15%). Performance is reported in four performance levels: Below Basic, Basic, Proficient, and Advanced.

Sample PSSA Grade 8 Mathematics Practice Questions

Try these sample questions to review concepts for the PSSA Grade 8 Mathematics exam. Each question includes a detailed explanation. Start the interactive quiz above for the full 100+ question experience with AI tutoring.

1Which of the following numbers is an irrational number?
A.0.333...
B.√16
C.√11
D.5/8
Explanation: √11 is an irrational number because 11 is not a perfect square, so its decimal expansion (≈ 3.3166...) is non-terminating and non-repeating. In contrast, 0.333... = 1/3, √16 = 4, and 5/8 = 0.625 are all rational numbers.
2Simplify the expression: 4³ × 4⁵.
A.4¹⁵
B.4⁸
C.16⁸
D.4²
Explanation: When multiplying exponential terms with the same base, keep the base and add the exponents: 4³ × 4⁵ = 4³⁺⁵ = 4⁸.
3Write the number 0.00045 in standard scientific notation.
A.4.5 × 10⁻⁴
B.4.5 × 10⁴
C.45 × 10⁻⁵
D.4.5 × 10⁻³
Explanation: Move the decimal point 4 places to the right to create a coefficient between 1 and 10 (4.5). Moving right makes the exponent negative: 4.5 × 10⁻⁴.
4What is the value of 7⁰ + 7⁻¹?
A.0
B.1/7
C.8/7
D.8
Explanation: Any non-zero base raised to the power of 0 equals 1 (7⁰ = 1). A negative exponent indicates the reciprocal: 7⁻¹ = 1/7. Adding them gives 1 + 1/7 = 8/7.
5Evaluate: ∛64 + √49.
A.11
B.13
C.15
D.11/2
Explanation: The cube root of 64 is 4 because 4³ = 64. The square root of 49 is 7 because 7² = 49. Adding them gives 4 + 7 = 11.
6Which of the following is equivalent to (3²)³?
A.3⁵
B.3⁶
C.9⁶
D.3⁸
Explanation: According to the power-of-a-power rule, (aᵐ)ⁿ = aᵐˣⁿ. Therefore, (3²)³ = 3²ˣ³ = 3⁶.
7Convert 6.2 × 10³ to standard decimal notation.
A.620
B.6,200
C.62,000
D.0.0062
Explanation: To convert 6.2 × 10³ to standard notation, move the decimal point 3 places to the right: 6.2 × 1,000 = 6,200.
8Between which two consecutive integers does √50 lie?
A.5 and 6
B.6 and 7
C.7 and 8
D.8 and 9
Explanation: Identify perfect squares surrounding 50: 7² = 49 and 8² = 64. Since 49 < 50 < 64, taking square roots gives 7 < √50 < 8. So √50 lies between 7 and 8.
9Simplify: (5.4 × 10⁸) ÷ (1.8 × 10³). Write your answer in scientific notation.
A.3.0 × 10⁵
B.3.0 × 10¹¹
C.3.6 × 10⁵
D.3.0 × 10²⁴
Explanation: Divide the coefficients: 5.4 / 1.8 = 3.0. Subtract the exponents: 10⁸⁻³ = 10⁵. Combining these gives 3.0 × 10⁵.
10Evaluate: (2 × 10⁴) + (3.5 × 10⁵). Express the answer in scientific notation.
A.5.5 × 10⁵
B.3.7 × 10⁵
C.3.7 × 10⁴
D.5.5 × 10⁹
Explanation: Convert 2 × 10⁴ to have an exponent of 5: 0.2 × 10⁵. Now add coefficients: (0.2 + 3.5) × 10⁵ = 3.7 × 10⁵.

About the PSSA Grade 8 Mathematics Exam

The PSSA Grade 8 Mathematics assessment evaluates student mastery of Pennsylvania Core Standards in 8th grade math. The test assesses four reporting categories: Numbers and Operations (25%), Algebraic Concepts (35%), Geometry (25%), and Data Analysis and Probability (15%).

Exam sponsor: Pennsylvania Department of Education (PDE) & Data Recognition Corporation (DRC). The requirements and fees below concern the certification or admission exam, separate from our free practice resources.

Assessment

Two sections of 24 multiple-choice/technology-enhanced items and 2 open-ended items each, reported at Grade 8 as The Number System 14-17%, Expressions and Equations 30-35%, Functions 20-25%, Geometry 17-21%, and Statistics and Probability 14-17%.

Time Limit

Untimed; PDE's test design plans two sections with an estimated 78 minutes of testing each. Delivered online only beginning with the Spring 2026 administration.

Passing Score

Proficient (Scaled Score ≥ 1284)

Exam / Certification Fees

Free (State-mandated public school assessment)

Exam sponsor website

Fees, eligibility, and exam policies can change. Confirm them with the exam sponsor before applying or paying.

Our practice resources: topics covered

We aim to reflect publicly available exam outlines and topic information in our study resources. Coverage, format, and difficulty may differ from the actual exam, and we cannot guarantee that every detail is accurate or current. Confirm exam requirements, fees, and policies with the official exam sponsor.

25%

Numbers and Operations

Rational and irrational numbers, square roots, cube roots, integer exponents, and scientific notation.

35%

Algebraic Concepts

Linear equations, systems of linear equations, slope, rate of change, y = mx + b, and function properties.

25%

Geometry

Pythagorean theorem, coordinate distance, rigid transformations, dilations, and volume formulas for 3D shapes.

15%

Data Analysis and Probability

Scatter plots, lines of best fit, patterns of association, and two-way tables.

Preparing for the PSSA Grade 8 Mathematics Exam

What You Need to Know

  • Passing score: Proficient (Scaled Score ≥ 1284)
  • Assessment: Two sections of 24 multiple-choice/technology-enhanced items and 2 open-ended items each, reported at Grade 8 as The Number System 14-17%, Expressions and Equations 30-35%, Functions 20-25%, Geometry 17-21%, and Statistics and Probability 14-17%.
  • Time limit: Untimed; PDE's test design plans two sections with an estimated 78 minutes of testing each. Delivered online only beginning with the Spring 2026 administration.
  • Exam / certification fees: Free (State-mandated public school assessment) Official sources

Using Our Practice Resources

  • Work through all 100 available questions
  • Review every answer and explanation
  • Track weak areas and revisit them
  • Use our AI tutor for tough concepts

PSSA Grade 8 Mathematics: Suggested Study Strategy

1Master integer exponent rules and practice converting numbers between standard notation and scientific notation.
2Understand slope as rate of change (y = mx + b) and solve one-variable equations and 2x2 linear systems.
3Memorize and apply the Pythagorean theorem (a² + b² = c²) and volume formulas for cylinders, cones, and spheres.
4Practice interpreting scatter plots, identifying positive/negative/no association, and analyzing two-way frequency tables.

Frequently Asked Questions

What is the PSSA Grade 8 Math exam?

The PSSA Grade 8 Mathematics test is Pennsylvania's statewide standardized assessment designed to measure student progress toward PA Core Standards in 8th grade math.

What topics are covered on the PSSA Grade 8 Math test?

The exam covers four reporting categories: Algebraic Concepts (35%), Numbers and Operations (25%), Geometry (25%), and Data Analysis and Probability (15%).

Is a calculator allowed on the PSSA Grade 8 Math test?

Yes, calculators (such as scientific or graphing calculators) are permitted on designated calculator sections of the PSSA Grade 8 test.

How are PSSA Grade 8 Math scores reported?

Student performance is reported as scaled scores categorized into four performance levels: Below Basic, Basic, Proficient, and Advanced.