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100+ Free PSSA Grade 4 Mathematics Practice Questions

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2026 Statistics

Key Facts: PSSA Grade 4 Mathematics Exam

100

Practice Questions

Pennsylvania Core Standards Alignment

4

Reporting Categories

PDE Assessment Anchors

40%

Numbers & Operations Weight

PDE Blueprint

The PSSA Grade 4 Math practice bank features 100 aligned items covering Numbers & Operations (40%), Algebraic Concepts (20%), Geometry (20%), and Data Analysis & Probability (20%). It provides complete step-by-step explanations and wrong option rationales for effective grade-level review.

Sample PSSA Grade 4 Mathematics Practice Questions

Try these sample questions to test your PSSA Grade 4 Mathematics exam readiness. Each question includes a detailed explanation. Start the interactive quiz above for the full 100+ question experience with AI tutoring.

1What is 45,283 + 37,146?
A.82,429
B.82,329
C.72,429
D.83,429
Explanation: Add place by place: 3+6=9 in ones, 8+4=12 (2 in tens, carry 1), 2+1+1=4 in hundreds, 5+7=12 (2 in thousands, carry 1), 4+3+1=8 in ten-thousands. The sum is 82,429.
2Subtract: 60,000 - 24,158
A.36,842
B.35,842
C.35,942
D.44,158
Explanation: Regroup across zeroes: 60,000 becomes 5 ten-thousands, 9 thousands, 9 hundreds, 9 tens, and 10 ones. Subtracting 24,158 yields 10-8=2, 9-5=4, 9-1=8, 9-4=5, 5-2=3. The difference is 35,842.
3What is 4,316 multiplied by 7?
A.30,212
B.29,212
C.30,112
D.28,212
Explanation: Multiply each digit by 7: 6x7=42 (write 2, carry 4); 1x7+4=11 (write 1, carry 1); 3x7+1=22 (write 2, carry 2); 4x7+2=30. The product is 30,212.
4What is 2,488 divided by 4?
A.612
B.622
C.632
D.722
Explanation: Divide place by place: 24 hundreds / 4 = 6 hundreds; 8 tens / 4 = 2 tens; 8 ones / 4 = 2 ones. The quotient is 622.
5Which list shows all factors of 24?
A.1, 2, 3, 4, 6, 8, 12, 24
B.2, 4, 6, 8, 12, 24
C.1, 2, 4, 6, 12, 24
D.1, 3, 6, 9, 12, 24
Explanation: Factors of 24 are whole numbers that divide 24 with no remainder. Testing factor pairs: 1x24, 2x12, 3x8, 4x6. The complete set is 1, 2, 3, 4, 6, 8, 12, 24.
6Which of the following numbers is a prime number?
A.15
B.21
C.29
D.35
Explanation: A prime number has exactly two factors: 1 and itself. 29 has only 1 and 29 as factors. 15 (3x5), 21 (3x7), and 35 (5x7) are composite numbers.
7Which fraction is equivalent to 3/4?
A.6/8
B.5/6
C.9/16
D.4/3
Explanation: Multiplying both numerator and denominator of 3/4 by 2 gives (3x2)/(4x2) = 6/8. Thus, 6/8 is equivalent to 3/4.
8Which symbol correctly compares the two fractions: 5/12 ___ 7/12 ?
A.>
B.<
C.=
D.+
Explanation: When fractions have the same denominator (12), compare their numerators directly. Since 5 is less than 7, 5/12 < 7/12.
9What is 2/9 + 4/9?
A.6/18
B.6/9
C.8/9
D.2/9
Explanation: To add fractions with the same denominator, add the numerators and keep the denominator the same: (2 + 4)/9 = 6/9.
10Subtract: 7/10 - 4/10
A.3/20
B.3/10
C.11/10
D.3/0
Explanation: Subtract the numerators while keeping the common denominator: (7 - 4)/10 = 3/10.

About the PSSA Grade 4 Mathematics Exam

The PSSA Grade 4 Mathematics assessment measures student achievement of the Pennsylvania Core Standards in Grade 4 math. It evaluates competency in numbers & operations (including fractions and decimals), algebraic concepts, geometry, and data analysis & measurement.

Assessment

Two sections of 24 multiple-choice/technology-enhanced items and 2 open-ended items each, reported across four categories: Numbers and Operations, Algebraic Concepts, Geometry, and Data Analysis and Probability.

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 performance level cut score set by Pennsylvania Department of Education

Exam Fee

Free state assessment for PA public school students (Pennsylvania Department of Education (PDE) & Data Recognition Corporation (DRC))

PSSA Grade 4 Mathematics Exam Content Outline

40%

Numbers and Operations

Multi-digit whole number arithmetic, factors and multiples, fraction equivalence, addition/subtraction of fractions with like denominators, decimal notation for fractions.

20%

Algebraic Concepts

Multi-step word problems, numerical patterns, equations with unknown quantities, and operational rules.

20%

Geometry

Lines, angles, 2D shape classification based on parallel and perpendicular lines, area and perimeter of complex rectangular shapes.

20%

Data Analysis and Probability

Line plots with fractional measurements (1/2, 1/4, 1/8), measurement conversions (length, weight, volume, time, money), and data problem solving.

How to Pass the PSSA Grade 4 Mathematics Exam

What You Need to Know

  • Passing score: Proficient performance level cut score set by Pennsylvania Department of Education
  • Assessment: Two sections of 24 multiple-choice/technology-enhanced items and 2 open-ended items each, reported across four categories: Numbers and Operations, Algebraic Concepts, Geometry, and Data Analysis and Probability.
  • 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: Free state assessment for PA public school students

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 4 Mathematics Study Tips from Top Performers

1Master multi-digit multiplication (e.g., 2-digit by 2-digit) and long division with remainders.
2Practice fraction equivalence and adding/subtracting fractions with like denominators using visual models and equations.
3Understand decimal notation for fractions with denominators 10 and 100 (e.g., 4/10 = 0.4, 35/100 = 0.35).
4Know angle classifications (right, acute, obtuse) and line properties (parallel, perpendicular) to classify 2D shapes.
5Solve multi-step measurement word problems involving distance, time, mass, capacity, and money.

Frequently Asked Questions

What is the PSSA Grade 4 Mathematics test?

The Pennsylvania System of School Assessment (PSSA) Grade 4 Math test is a statewide standardized assessment administered to 4th grade students in Pennsylvania to measure proficiency in PA Core Math Standards.

What topics are covered on the PSSA Grade 4 Math exam?

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 100 questions precisely aligned to the 40-20-20-20 topic distribution of the PSSA Grade 4 Mathematics blueprint.

What tools can students use during PSSA Grade 4 Math?

In Grade 4, calculators are permitted on specific designated calculator-active sections, while other sections are non-calculator. A reference sheet with standard unit conversions is also provided.