Virginia’s Grade 4 SOL math assessment tests students on a set of skills that build directly on what they learned in Grade 3 — and it introduces several new concepts that students will rely on through middle and high school. Multi-digit multiplication, fraction equivalence, and decimal understanding take center stage in Grade 4, and worksheets that practice these skills with real worked examples are one of the most effective preparation tools available.
This page provides targeted practice problems and mini-worksheets for the most heavily tested Grade 4 SOL topics, along with a four-week preparation plan.
ViewMath is not affiliated with or endorsed by the Virginia Department of Education (VDOE) or any Virginia school division. Visit doe.virginia.gov for the most current SOL information.
Grade 4 Virginia SOL Math: Top Tested Topics
Number and Number Sense: Whole Numbers and Fractions
Grade 4 students work with whole numbers through the millions — reading, writing, comparing, and ordering them. They round to the nearest thousand, ten thousand, and hundred thousand. For fractions, the focus is on equivalence, comparison, and connecting fractions to their decimal equivalents (halves, fourths, fifths, tenths, and hundredths).
Computation: Multi-Digit Operations
This is where Grade 4 gets demanding. Students are expected to:
- Multiply two-digit by two-digit numbers using the standard algorithm
- Divide up to four-digit dividends by one-digit divisors (with remainders)
- Add and subtract fractions and mixed numbers with like denominators
- Estimate products and quotients to check reasonableness
Measurement
Students solve problems using customary and metric units of length, weight/mass, and liquid volume. They convert between related units within the same system (e.g., feet to inches, kilograms to grams). Area and perimeter of polygons are computed, and students work with elapsed time to the nearest minute.
Geometry
The Virginia SOL Grade 4 geometry strand includes identifying and describing quadrilaterals (squares, rectangles, rhombuses, parallelograms, trapezoids), classifying triangles by sides and angles, and identifying lines of symmetry in polygons. Students also work with transformations — flips (reflections), slides (translations), and turns (rotations).
Probability and Statistics
Students predict and determine the likelihood of events, collect data, and create and interpret bar graphs and line graphs. Stem-and-leaf plots and line plots make their first appearance at Grade 4.
Mini-Worksheets with Answers
Worksheet 1: Multi-Digit Multiplication
Solve each problem. Show your work.
- 34 × 27 = ___ (Answer: 918)
- 46 × 53 = ___ (Answer: 2,438)
- A school orders 25 boxes of pencils. Each box holds 36 pencils. How many pencils are there in total? (Answer: 25 × 36 = 900 pencils)
- Estimate 38 × 61 by rounding to the nearest ten. (Answer: 40 × 60 = 2,400)
Worksheet 2: Fraction Equivalence and Comparison
- Write a fraction equivalent to 2/4. (Answer: 1/2 or 4/8, etc.)
- Compare: 3/4 ○ 5/8. Write <, >, or =. (Answer: 3/4 > 5/8, because 6/8 > 5/8)
- What decimal is equal to 3/4? (Answer: 0.75)
- Order from least to greatest: 1/2, 3/8, 5/8. (Answer: 3/8, 1/2, 5/8)
Worksheet 3: Division with Remainders
- 95 ÷ 7 = ___ R ___ (Answer: 13 R 4)
- 148 ÷ 5 = ___ R ___ (Answer: 29 R 3)
- A teacher has 87 stickers to share equally among 9 students. How many stickers does each student get, and how many are left over? (Answer: 9 stickers each, 6 left over)
Worksheet 4: Geometry — Classifying Quadrilaterals
Identify each shape based on its description:
- A quadrilateral with 4 right angles and 4 equal sides. (Answer: square)
- A quadrilateral with 4 right angles, opposite sides equal but not all 4 equal. (Answer: rectangle)
- A quadrilateral with 4 equal sides but no right angles. (Answer: rhombus)
- A quadrilateral with exactly one pair of parallel sides. (Answer: trapezoid)
Common Grade 4 SOL Math Mistakes
- Regrouping errors in multi-digit multiplication: When multiplying 2-digit by 2-digit numbers, students often forget to add the carry-over from the ones column. Write the regrouped digit clearly above the tens column as a reminder.
- Fraction-decimal confusion: Students learn that 1/2 = 0.5 but struggle with other conversions. Use a denominator-of-10 approach: 3/5 = 6/10 = 0.6.
- Mixing area and perimeter formulas: Fourth graders who learned these in Grade 3 still confuse them. Perimeter = sum of all sides; Area = length × width. Make a quick reference card.
- Remainder interpretation: Students calculate the remainder but answer the wrong question. Always re-read what the problem is asking: sometimes the remainder is the answer; sometimes you add 1 to the quotient; sometimes the remainder is discarded.
A 4-Week Virginia SOL Grade 4 Math Prep Plan
Week 1: Number Sense, Place Value, and Rounding
Read, write, compare, and order numbers to the millions. Practice rounding to the nearest thousand and ten-thousand. Introduce equivalent fractions using visual models — fraction bars and number lines. Practice fraction-decimal conversion for halves, fourths, fifths, and tenths.
Week 2: Multi-Digit Multiplication and Division
Practice the standard multiplication algorithm with 2-digit × 2-digit problems. Set a goal of 5 fully worked problems each day with all steps shown. Begin division: start with mental math (no remainder), then introduce long division with single-digit divisors and remainders. Use estimation to check work.
Week 3: Fractions, Measurement, and Geometry
Add and subtract fractions and mixed numbers with like denominators. Review unit conversions within customary and metric systems. Practice area and perimeter with polygons. Classify triangles and quadrilaterals using property checklists. Identify lines of symmetry in figures.
Week 4: Probability, Data, and Mixed Review
Read and interpret bar graphs, line graphs, and stem-and-leaf plots. Answer multi-step data questions. Practice predicting likelihood. End with a 30-question timed mixed test and review every incorrect answer before test day.
Virginia Grade 4 SOL Math Resources
ViewMath’s Grade 4 collection includes practice test books, workbooks, and study guides organized by the content areas assessed on the Virginia SOL. Complete answer keys are included in every resource. Use the sidebar to browse the full Grade 4 catalog.
ViewMath is an independent publisher. Our materials are not official Virginia SOL or VDOE resources.
