PSSA Grade 4 Math Worksheets with Answers for Pennsylvania Students

Targeted PSSA Grade 4 math worksheets covering multiplication, fractions, measurement, and geometry — with answers and a prep plan for Pennsylvania students and families.

Pennsylvania students in Grade 4 take the PSSA Math assessment as part of the state’s annual testing program, which covers all students in grades 3 through 8. The Grade 4 PSSA measures how well students have mastered the PA Core Standards for mathematics — a set of learning goals built around the major mathematical work of the grade.

This guide explains what the Grade 4 PSSA math assessment covers, which topics carry the most weight, and how families and teachers can use targeted worksheets to prepare effectively.

ViewMath is not affiliated with or endorsed by the Pennsylvania Department of Education. For the most current PSSA information, visit pa.gov/agencies/education.

What Is the PSSA Grade 4 Math Test?

The Pennsylvania System of School Assessment (PSSA) is a standards-based, criterion-referenced assessment. Every Pennsylvania student in grades 3 through 8 is assessed in Math and English Language Arts each year. The assessment measures student performance against the PA Core Standards for Mathematics — which organize Grade 4 content into major, supporting, and additional clusters.

The Grade 4 PSSA math test includes multiple-choice items, short constructed-response items, and evidence-based selected-response questions. Questions are delivered in a paper-and-pencil format in most classrooms, though delivery may vary by district.

Grade 4 PSSA Math: Top Tested Topics

Multiplication and Division Within 100,000

The major work of Grade 4 centers on multi-digit multiplication and division. Students are expected to multiply a four-digit number by a one-digit number, multiply two two-digit numbers, and find whole-number quotients and remainders with up to four-digit dividends and one-digit divisors. PSSA questions often embed these operations in word problems that require students to decide which operation to use before calculating.

Fractions and Equivalence

Grade 4 fractions are a major PSSA focus. Students must explain fraction equivalence using visual models (area models, number lines), compare fractions with different numerators and denominators, add and subtract fractions with like denominators, and convert between mixed numbers and improper fractions. The PA Core also expects students to multiply a fraction by a whole number, which sometimes appears in measurement word problems.

Place Value Through One Million

Students work with numbers up to 1,000,000: reading and writing multi-digit numbers, recognizing place value relationships (a digit in one place represents ten times what it represents in the place to its right), and comparing numbers using inequality symbols. Rounding to any place value through 1,000,000 is also tested.

Addition and Subtraction

Grade 4 expects fluency with the standard algorithm for adding and subtracting multi-digit whole numbers. PSSA word problems at this level often combine addition and subtraction with multiplication or division in two-step problems.

Measurement and Data

Students solve problems involving measurement conversions within a single system (e.g., converting feet to inches, hours to minutes). They measure and calculate the area and perimeter of rectangles and apply these to real-world problems. Students also interpret data in line plots (including fractional measurements on the scale) and solve problems based on the data.

Geometry: Lines and Angles

Grade 4 introduces formal geometric vocabulary: points, lines, line segments, rays, and angles (right, acute, obtuse, straight). Students identify parallel and perpendicular lines in 2D figures, classify shapes by their properties (number of sides, angle types, symmetry), and recognize line symmetry in figures.

Sample PSSA-Style Worksheet Problems

Multiplication Problem

A school orders 1,245 pencils every month. How many pencils does the school order in 6 months?

Answer: 1,245 × 6 = 7,470 pencils

Fractions Problem

Mia walked 3/8 of a mile to the park and 5/8 of a mile to the library. How far did she walk in all?

Answer: 3/8 + 5/8 = 8/8 = 1 whole mile

Measurement Conversion Problem

A science experiment requires 3 feet of string. The teacher has 48 inches. Does the teacher have enough? Show your reasoning.

Answer: 3 feet = 36 inches. 48 inches > 36 inches, so yes, the teacher has enough.

Geometry Problem

Which of the following figures has exactly two lines of symmetry? (A) A scalene triangle (B) A rectangle (C) An equilateral triangle (D) A trapezoid

Answer: (B) A rectangle — it has lines of symmetry along both its horizontal and vertical midlines.

Common PSSA Grade 4 Math Mistakes

  • Forgetting to regroup in multi-digit multiplication: Students often multiply each digit correctly but forget to carry. Encourage showing partial products side by side before adding.
  • Fraction comparison without a common reference: Students sometimes compare fractions like 3/4 and 5/8 by only looking at the numerator. Drawing both fractions on a number line makes the comparison concrete.
  • Measurement units confusion: A student asked to convert 2 yards to feet may multiply by 12 (confusing yards-to-feet with feet-to-inches). A quick chart of conversion facts — 1 foot = 12 inches, 1 yard = 3 feet, 1 kilometer = 1,000 meters — helps significantly.
  • Mixing up area and perimeter in word problems: Carefully reading whether the problem says “how much space covers the floor” (area) or “how much fence is needed around the garden” (perimeter) is the key habit to build.

A 4-Week PSSA Grade 4 Math Prep Plan

Week 1: Multi-Digit Multiplication and Division

Practice multi-digit multiplication using partial products and the standard algorithm. Spend at least two sessions on word problems requiring students to choose the correct operation. End the week with a 10-question multiplication/division quiz including two word problems.

Week 2: Fractions

Cover fraction equivalence using area models and number lines. Practice adding and subtracting fractions with like denominators. Introduce multiplying a fraction by a whole number through measurement contexts (e.g., “If one piece of ribbon is 2/4 meter, how long are 5 pieces?”). End the week with a 10-question fraction quiz.

Week 3: Measurement, Place Value, and Data

Review measurement conversions within one system and practice multi-step word problems that require converting units before solving. Cover reading and creating line plots. Review place value through 1,000,000 and multi-digit rounding.

Week 4: Geometry and Mixed Practice

Cover angle types, lines (parallel, perpendicular), and shape classification. Then shift to a full 20-question mixed PSSA-style review covering all topics from the previous three weeks. Analyze all errors by category to identify any remaining weak areas before test day.

Pennsylvania Grade 4 Math Resources

ViewMath offers Grade 4 math books that align to the PA Core Standards and provide targeted PSSA-style practice. The collection includes workbooks, study guides, and practice tests with complete answer keys. Browse the full Grade 4 collection in the sidebar below.

ViewMath is an independent publisher. Our materials are not official PSSA materials and are not affiliated with the Pennsylvania Department of Education.