Free Practice Questions for PSSA Grade 7 Mathematics
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Key Facts: PSSA Grade 7 Mathematics Exam
100
Practice Questions
OpenExamPrep
4
Reporting Categories
Pennsylvania Department of Education
35% / 25% / 20% / 20%
Standard Category Weights
PDE Assessment Anchor Standards
The PSSA Grade 7 Mathematics assessment measures student proficiency against the PA Core Standards across four key domains: Numbers & Operations (35%), Algebraic Concepts (25%), Geometry (20%), and Data Analysis & Probability (20%). Students demonstrate mastery through rational number arithmetic, proportional reasoning, multi-step algebraic equations, geometric measurement, and probability analysis.
Sample PSSA Grade 7 Mathematics Practice Questions
Try these sample questions to review concepts for the PSSA Grade 7 Mathematics exam. Each question includes a detailed explanation. Start the interactive quiz above for the full 100+ question experience with AI tutoring.
1Simplify the expression: -8 + 15
2Evaluate: (-6) × (-7)
3Add the fractions: 3/4 + 1/6
4Convert the fraction 3/5 into an equivalent decimal.
5A shirt is priced at $25.00. The sales tax rate is 6%. What is the total cost of the shirt including sales tax?
6Simplify: -12 - (-5)
7What is a 15% tip on a $40.00 restaurant bill?
8Evaluate: -48 ÷ 6
9Express 0.35 as a fraction in simplest form.
10A pair of shoes originally costs $60.00 and is on sale for 20% off. What is the sale price?
About the PSSA Grade 7 Mathematics Exam
The PSSA Grade 7 Mathematics assessment measures student achievement of the Pennsylvania Core Standards in Grade 7 mathematics. The test evaluates skills across four reporting categories: Numbers and Operations (35%), Algebraic Concepts (25%), Geometry (20%), and Data Analysis and Probability (20%).
Exam sponsor: Pennsylvania Department of Education (PDE). 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 7 as The Number System 14-17%, Ratios and Proportional Relationships 24-28%, Expressions and Equations 24-28%, Geometry 18-22%, 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 or Advanced performance level
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.
Numbers and Operations
Add, subtract, multiply, and divide rational numbers (integers, fractions, decimals); solve multi-step real-world percent problems (tax, tip, discount, markup, simple interest, percent error).
Algebraic Concepts
Analyze proportional relationships and unit rates; represent constant of proportionality with y = kx; solve multi-step linear equations and inequalities.
Geometry
Solve scale drawing problems; construct triangles and evaluate side/angle conditions; apply complementary, supplementary, and vertical angle rules; calculate area/circumference of circles and surface area/volume of 3D solids.
Data Analysis and Probability
Use random sampling to make inferences about populations; compare data distributions using mean, median, MAD, and IQR; calculate theoretical and experimental probabilities of simple and compound events.
Preparing for the PSSA Grade 7 Mathematics Exam
What You Need to Know
- Passing score: Proficient or Advanced performance level
- Assessment: Two sections of 24 multiple-choice/technology-enhanced items and 2 open-ended items each, reported at Grade 7 as The Number System 14-17%, Ratios and Proportional Relationships 24-28%, Expressions and Equations 24-28%, Geometry 18-22%, 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 7 Mathematics: Suggested Study Strategy
Frequently Asked Questions
What is the PSSA Grade 7 Mathematics assessment?
The PSSA Grade 7 Math test is Pennsylvania's statewide standardized assessment designed to evaluate student proficiency in 7th grade mathematics standards established by the Pennsylvania Department of Education.
What topics are tested on PSSA Grade 7 Math?
The exam measures performance across four reporting categories: Numbers and Operations (35%), Algebraic Concepts (25%), Geometry (20%), and Data Analysis and Probability (20%).
How many questions are included in this practice bank?
This practice bank contains exactly 100 multiple-choice questions covering topics from PA Core Standards, distributed as 35 Numbers & Operations, 25 Algebraic Concepts, 20 Geometry, and 20 Data Analysis & Probability items.
What are the PSSA performance levels?
Student performance on the PSSA is categorized into four levels: Advanced, Proficient, Basic, and Below Basic. Proficient indicates solid academic performance meeting grade-level standards.