By fourth grade, North Carolina students have already sat through one or two NC EOG math assessments and have a better sense of what to expect. But Grade 4 math represents a real step up in difficulty: multi-digit multiplication, long division, fraction operations, and measurement conversions all arrive at once. A targeted review strategy — one that focuses on the most heavily tested areas — makes preparation efficient and manageable.
This guide covers the key topics assessed on the NC EOG Grade 4 math test, provides sample practice problems with answers, and offers a three-week study plan families and teachers can use.
ViewMath is not affiliated with or endorsed by the North Carolina Department of Public Instruction. For the most current NC EOG information, visit dpi.nc.gov.
NC EOG Grade 4 Math: Key Content Areas
The North Carolina Standard Course of Study (NCSCOS) for Grade 4 math organizes content into major and supporting clusters. The most heavily weighted areas in Grade 4 are:
Operations and Algebraic Thinking
Students interpret multiplication equations as comparisons (24 = 4 × 6 means “24 is 4 times as many as 6”), solve multi-step word problems using all four operations, identify factor pairs for numbers 1–100, and determine whether a number is prime or composite. The EOG tests multiplication comparisons through word problems — students must recognize when a situation requires multiplicative (rather than additive) thinking.
Practice problem: Maria has 3 times as many stickers as her brother. Her brother has 14 stickers. How many stickers does Maria have? (Answer: 42)
Number and Operations in Base Ten
Grade 4 students work with multi-digit whole numbers up to 1,000,000. Key skills include:
- Reading, writing, and comparing multi-digit numbers using place value
- Rounding to any place (tens, hundreds, thousands)
- Adding and subtracting multi-digit numbers using the standard algorithm
- Multiplying a four-digit number by a one-digit number and two two-digit numbers
- Finding quotients and remainders using long division with up to four-digit dividends and one-digit divisors
Practice problem: Compute 3,246 × 7. (Answer: 22,722)
Practice problem: Compute 846 ÷ 6. (Answer: 141)
Number and Operations — Fractions
Fractions receive significant attention in Grade 4. Students must:
- Explain why fractions are equivalent using visual fraction models
- Compare two fractions with different numerators and different denominators
- Add and subtract fractions (and mixed numbers) with like denominators
- Decompose a fraction into a sum of fractions with the same denominator
- Multiply a fraction by a whole number
- Understand decimal notation for fractions with denominators 10 and 100
- Compare decimal fractions to hundredths using >, =, < notation
Practice problem: Which is greater: 3/5 or 5/8? Use a benchmark or common denominator to compare. (Answer: 5/8, since 3/5 = 24/40 and 5/8 = 25/40)
Practice problem: Compute 2 3/8 + 1 5/8. (Answer: 4 (because 3/8 + 5/8 = 8/8 = 1, and 2 + 1 + 1 = 4))
Measurement and Data
Grade 4 introduces measurement conversions within the same system. Students must convert between units of length (feet/inches, meters/centimeters), liquid volume (gallons/quarts/cups), and weight/mass (pounds/ounces, kilograms/grams). Solving problems that involve converting between units — especially multi-step problems — is a commonly tested skill.
Students also work with area and perimeter problems, including finding the unknown side of a rectangle given its area or perimeter, and reading and interpreting data in line plots with fractional scales.
Practice problem: A rectangle has an area of 48 square feet and a width of 6 feet. What is its length? (Answer: 8 feet)
Practice problem: How many cups are in 3 gallons? (1 gallon = 16 cups) (Answer: 48 cups)
Geometry
Students identify and draw points, lines, line segments, rays, and angles (right, acute, obtuse). They classify two-dimensional figures by their properties (parallel sides, perpendicular sides, lines of symmetry). Students also measure angles with a protractor and use addition/subtraction to find unknown angle measures.
Practice problem: Two angles form a straight line. One angle measures 55°. What is the other angle? (Answer: 125°)
Common NC EOG Grade 4 Math Mistakes
- Long division errors: Students often make errors in the subtract and bring-down steps of long division. Teach a clear, labeled process: Divide, Multiply, Subtract, Bring Down (DMSB).
- Fraction comparison without finding common denominators: Students may compare 3/5 and 5/8 only by looking at the numerators or denominators separately. Practice using benchmarks (is each fraction greater or less than 1/2?) as a first step.
- Measurement conversion direction errors: Students converting from larger units to smaller units (feet to inches) must multiply; converting from smaller to larger requires division. A reference chart during practice helps build this intuition.
- Multiplicative comparison vs. additive: “Maria has 3 more than her brother” (add 3) vs. “Maria has 3 times as many” (multiply by 3) — this distinction is tested directly on the EOG.
Practice Worksheet: NC EOG Grade 4 Mixed Problems
- A bookshelf holds 8 rows of books with 12 books in each row. How many books in all? (Answer: 96)
- Round 47,839 to the nearest thousand. (Answer: 48,000)
- Compute 2,513 × 4. (Answer: 10,052)
- Compute 975 ÷ 5. (Answer: 195)
- Which is larger: 7/10 or 68/100? Express 7/10 with a denominator of 100 to compare. (Answer: 7/10 = 70/100 > 68/100, so 7/10 is larger)
- A box weighs 3 pounds 12 ounces. How many total ounces is that? (1 pound = 16 ounces) (Answer: 60 ounces)
- An angle measures 38°. What is the measure of the supplement of this angle? (Answer: 142°)
- A rectangle has a perimeter of 34 cm and a length of 10 cm. What is its width? (Answer: 7 cm)
Three-Week NC EOG Grade 4 Math Study Plan
Week 1: Multi-Digit Operations and Place Value
Focus on multi-digit multiplication and long division. Use the standard algorithm for both. Practice 5–6 problems per day, including at least one word problem. By end of week, students should complete a 4-digit × 1-digit multiplication problem and a 3-digit ÷ 1-digit division problem independently without errors.
Week 2: Fractions and Decimals
Work on comparing fractions using benchmarks and common denominators, adding and subtracting mixed numbers with like denominators, and connecting fractions to decimals (3/10 = 0.3, 47/100 = 0.47). Use visual models (fraction bars, number lines) for every comparison problem.
Week 3: Measurement, Geometry, and Mixed Review
Review measurement conversions (make a reference chart), angle measurement, and shape classification. Finish with a 20-question mixed review and check every answer.
NC Grade 4 Math Resources from ViewMath
ViewMath offers Grade 4 math workbooks and practice test books built around the major topics assessed on spring state math tests. The sidebar below shows the full Grade 4 catalog, including answer-key editions for classroom and home use.
ViewMath is an independent publisher and is not affiliated with or endorsed by the North Carolina Department of Public Instruction or any state assessment program.
