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100+ Free PSSA Grade 6 Mathematics Practice Questions

Prepare for the Pennsylvania System of School Assessment (PSSA) Grade 6 Mathematics exam with instant access — no signup required.

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2026 Statistics

Key Facts: PSSA Grade 6 Mathematics Exam

100

Practice Questions

OpenExamPrep Bank

4

Reporting Categories

PDE PSSA Grade 6 Blueprint

40%

Numbers & Operations Weight

PA Core Standards

$0

Exam Fee

Pennsylvania State Assessment

The PSSA Grade 6 Math test evaluates 6th grade math proficiency aligned to PA Core Standards. The assessment covers Numbers and Operations (40%), Algebraic Concepts (20%), Geometry (20%), and Data Analysis and Probability (20%). This 100-question practice bank provides realistic, verified calculation problems and detailed step-by-step explanations.

Sample PSSA Grade 6 Mathematics Practice Questions

Try these sample questions to test your PSSA Grade 6 Mathematics exam readiness. Each question includes a detailed explanation. Start the interactive quiz above for the full 100+ question experience with AI tutoring.

1A recipe calls for 3 cups of flour to make 24 cookies. How many cups of flour are needed to make 64 cookies?
A.6 cups
B.8 cups
C.9 cups
D.12 cups
Explanation: Find the unit rate of flour per cookie: 3 cups / 24 cookies = 1/8 cup per cookie. Then multiply the unit rate by the desired number of cookies: 64 * (1/8) = 8 cups of flour.
2Store A sells 4 cans of soup for $5.00. Store B sells 6 cans of soup for $6.90. Which store has the lower price per can, and by how much?
A.Store A by $0.10
B.Store B by $0.10
C.Store B by $0.15
D.Store A by $0.05
Explanation: Calculate the unit price at each store: Store A = $5.00 / 4 = $1.25 per can. Store B = $6.90 / 6 = $1.15 per can. Store B is lower by $1.25 - $1.15 = $0.10 per can.
3What is the value of 3/4 divided by 6?
A.1/8
B.1/2
C.9/2
D.2/9
Explanation: Dividing a fraction by a whole number is equivalent to multiplying by its reciprocal: (3/4) / 6 = (3/4) * (1/6) = 3/24 = 1/8.
4What is 5/6 divided by 2/3?
A.5/9
B.1 1/4
C.1 1/2
D.2/5
Explanation: Multiply 5/6 by the reciprocal of 2/3: (5/6) * (3/2) = 15/12 = 5/4 = 1 1/4.
5Maya had $45.50. She bought a book for $12.75 and a pencil case for $6.40. How much money does she have left?
A.$26.35
B.$27.35
C.$25.40
D.$32.75
Explanation: Total spent = $12.75 + $6.40 = $19.15. Remaining money = $45.50 - $19.15 = $26.35.
6A piece of fabric costs $3.85 per yard. How much does 4.5 yards of fabric cost?
A.$15.40
B.$16.20
C.$17.325
D.$18.50
Explanation: Multiply $3.85 by 4.5: 3.85 * 4.5 = 17.325.
7What is the greatest common factor (GCF) of 24 and 36?
A.6
B.8
C.12
D.72
Explanation: Factors of 24 are {1, 2, 3, 4, 6, 8, 12, 24}. Factors of 36 are {1, 2, 3, 4, 6, 9, 12, 18, 36}. The common factors are {1, 2, 3, 4, 6, 12}, and the greatest is 12.
8Hot dog buns come in packs of 8, while hot dogs come in packs of 12. What is the least number of hot dogs and buns you can buy to have an equal number of each?
A.16
B.24
C.48
D.96
Explanation: Find the least common multiple (LCM) of 8 and 12. Multiples of 8 are 8, 16, 24, 32... Multiples of 12 are 12, 24, 36... The smallest shared multiple is 24.
9What is the absolute value of -17, written as |-17|?
A.-17
B.0
C.17
D.-1/17
Explanation: Absolute value represents the distance of a number from zero on a number line. Distance is always non-negative, so |-17| = 17.
10In which quadrant of the coordinate plane is the point (-4, 5) located?
A.Quadrant I
B.Quadrant II
C.Quadrant III
D.Quadrant IV
Explanation: Point (-4, 5) has a negative x-coordinate and a positive y-coordinate. Points with (-, +) signs lie in Quadrant II.

About the PSSA Grade 6 Mathematics Exam

The PSSA Grade 6 Mathematics assessment measures student achievement of Pennsylvania Core Standards in Grade 6. The exam evaluates student proficiency across four reporting categories: Numbers and Operations (40%), Algebraic Concepts (20%), Geometry (20%), and Data Analysis and Probability (20%).

Assessment

Two sections of 24 multiple-choice/technology-enhanced items and 2 open-ended items each, reported at Grade 6 as The Number System 18-22%, Ratios and Proportional Relationships 17-21%, Expressions and Equations 26-30%, Geometry 14-17%, and Statistics and Probability 18-22%.

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 / Advanced performance benchmark

Exam Fee

$0 USD (Pennsylvania Department of Education (PDE))

PSSA Grade 6 Mathematics Exam Content Outline

40%

Numbers and Operations

Ratios, rates, fraction division, multi-digit decimal operations, GCF, LCM, rational numbers, absolute value, and coordinate grid graphing.

20%

Algebraic Concepts

Writing and evaluating numerical/algebraic expressions, equivalent expressions, and solving one-variable linear equations and inequalities.

20%

Geometry

Area of triangles, quadrilaterals, and composite figures; volume of rectangular prisms with fractional edge lengths; 3D surface area using nets.

20%

Data Analysis and Probability

Statistical questions, measures of center and variability (mean, median, mode, IQR, MAD), dot plots, histograms, and box plots.

How to Pass the PSSA Grade 6 Mathematics Exam

What You Need to Know

  • Passing score: Proficient / Advanced performance benchmark
  • Assessment: Two sections of 24 multiple-choice/technology-enhanced items and 2 open-ended items each, reported at Grade 6 as The Number System 18-22%, Ratios and Proportional Relationships 17-21%, Expressions and Equations 26-30%, Geometry 14-17%, and Statistics and Probability 18-22%.
  • 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 fee: $0 USD

Keys to Passing

  • 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 6 Mathematics Study Tips from Top Performers

1Master unit rates and unit rate conversions for multi-step ratio problems.
2Practice dividing fractions using the reciprocal method (keep, change, flip).
3Be confident in evaluating algebraic expressions using order of operations and exponents.
4Memorize geometry area formulas for triangles, parallelograms, and trapezoids.
5Practice finding the median, IQR, and mean absolute deviation (MAD) from statistical datasets.

Frequently Asked Questions

What is the PSSA Grade 6 Mathematics exam?

The PSSA Grade 6 Math assessment is a statewide standardized test administered to 6th-grade students in Pennsylvania public and charter schools to measure mastery of Pennsylvania Core Standards in mathematics.

What topics are covered on the PSSA Grade 6 Math test?

The exam covers four reporting categories: Numbers and Operations (40%), Algebraic Concepts (20%), Geometry (20%), and Data Analysis and Probability (20%).

How many questions are in this practice bank?

This practice bank contains exactly 100 standard-aligned questions with 30 easy, 50 medium, and 20 hard difficulty questions.

Are calculators allowed on the PSSA Grade 6 Math test?

Calculators are permitted on designated calculator sections of the PSSA Grade 6 Math test according to Pennsylvania Department of Education guidelines.