What's on the 5th grade NC EOG Math test?

The NC 5th-grade EOG Math test covers five big domains: writing expressions and patterns, place value and decimals, fractions, measurement and volume, and the coordinate plane. It’s a multiple-choice test (with a few gridded-response items), and every question maps to a specific standard in the North Carolina Standard Course of Study.

Below is every standard the test covers, grouped by domain, with a parent-readable explanation of what each one actually looks like.

Operations & Algebraic Thinking (OA)

5.OA.2 — Write and evaluate numerical expressions

Order of operations with parentheses, up to two steps. Includes whole numbers, decimals, and fractions. A typical question: evaluate 16 × (4 + 6) − 20 ÷ 4, or translate a word problem into the right expression.

5.OA.3 — Numerical patterns and graphing

Given two rules (e.g. “add 3” and “add 9”), generate two sequences, notice the relationship between corresponding terms (the second is always three times the first), and plot ordered pairs on the coordinate plane.

Number & Operations in Base Ten (NBT)

5.NBT.1 — Place value: 10× and 1⁄10

A digit in one place is worth 10 times what it is in the place to its right, and 1⁄10 of what it is in the place to its left. This underlies everything else with decimals.

5.NBT.3 — Read, write, and compare decimals

Decimals to thousandths. Write them in standard form, expanded form, and word form. Compare two decimals using <, =, >.

5.NBT.5 — Multi-digit multiplication

Multiply up to 3-digit by 2-digit numbers fluently using the standard algorithm. Pencil-and-paper accuracy matters here.

5.NBT.6 — Long division with remainders

Divide up to 4-digit numbers by 2-digit divisors. Includes interpreting the remainder in context (does the answer round up, round down, or stay as a remainder?).

5.NBT.7 — Decimal operations

Add, subtract, multiply, and divide decimals to hundredths. This is a heavily-tested standard. Common pitfalls: lining up the decimal point in addition, placing the decimal correctly in products.

Number & Operations — Fractions (NF)

5.NF.1 — Add and subtract fractions

Fractions and mixed numbers with unlike denominators. Kids must find a common denominator first. The tricky part is usually simplifying afterward and converting between mixed and improper forms.

5.NF.3 — Fractions as division

Interpret a fraction as the result of dividing the numerator by the denominator. “3 cookies shared by 4 kids” means each kid gets 3⁄4 of a cookie. This is the conceptual bridge from fractions to division.

5.NF.4 — Multiply fractions and mixed numbers

Multiply a fraction by a fraction, a fraction by a whole number, and mixed numbers. Includes area-model questions: the area of a rectangle with fractional side lengths.

5.NF.7 — Divide with unit fractions

Divide a whole number by a unit fraction (3 ÷ 1⁄4) and a unit fraction by a whole number (1⁄3 ÷ 2). Word problems often hide this: “how many quarter-cup servings in 3 cups?”

Measurement & Data (MD)

5.MD.1 — Measurement conversions

Convert between units within the same system (inches to feet, grams to kilograms, milliliters to liters). A conversion chart is usually provided on the NC test.

5.MD.2 — Line graphs of data over time

Read and interpret a line graph showing how something changes — often fractional measurements. Questions ask for trends, differences, or specific values.

5.MD.4 — Measure volume by counting unit cubes

Find the volume of a shape by counting the unit cubes that fill it. This is the conceptual setup for the formula in the next standard.

5.MD.5 — Volume of rectangular prisms

Apply V = l × w × h (or V = B × h). Includes finding the volume of composite shapes built from two prisms.

Geometry (G)

5.G.1 — Coordinate plane (first quadrant)

Plot and identify points using (x, y) coordinates, first quadrant only. Includes interpreting points in the context of a real-world problem.

5.G.3 — Classify quadrilaterals

Understand the hierarchy: every square is a rectangle, every rectangle is a parallelogram, every parallelogram is a quadrilateral. The test often asks “which is always true” questions about these relationships.

What the test looks like

The Math EOG is a mix of multiple-choice and gridded-response items (kids write a numerical answer in a grid). Calculators are permitted on part of the test, not on all of it; your child’s teacher will know which. A reference sheet with measurement conversions and common formulas is usually included.

How to prepare for it

Math benefits more than Reading from targeted practice on specific standards. A kid who’s strong on multiplication but consistently misses decimal placement on 5.NBT.7doesn’t need more worksheets — they need 15 minutes of focused work on that one thing.

• Identify the standards where the kid is weak (a diagnostic helps here).
• Drill those specifically — not a random mix.
• For word problems, slow down: read once for the situation, read again to write the expression, then compute.
• Practice on paper. The test is on paper. The cognitive load of a paper test is different from a tablet.

For structured per-standard practice:

• 5th-grade EOG practice on EOG Practice — kid-facing practice mapped to each standard above.
• Browse every 5th-grade NC standard with explanations and sample questions.

Where to find released tests

NCDPI publishes released EOG test forms from prior years. The released Math forms include the answer key with each item’s standard code, so you can see exactly which standards a real test emphasized.

Related

• When are the NC EOG tests?
• What’s on the 5th-grade NC EOG Reading test?