What's on the 3rd grade NC EOG Math test?

The NC 3rd-grade EOG Math test covers five domains: multiplication and division, place-value arithmetic, fractions, measurement and data, and geometry. Every question maps to a specific standard in the North Carolina Standard Course of Study, and the heaviest emphasis is on multiplication, division, and fractions.

Below is every standard the test covers, grouped by domain, in parent language.

Operations & Algebraic Thinking (OA)

3.OA.1 — Interpret products of whole numbers

Multiplication as “groups of.” 5 × 7 means 5 groups of 7. Strategies include drawing arrays, repeated addition, and decomposing a factor (9 × 7 = 9 × 5 + 9 × 2). Factors up to 10.

3.OA.2 — Interpret whole-number quotients

Two models of division: sharing (12 cookies into 4 bags, how many per bag?) and measuring (12 cookies, 3 per bag, how many bags?). One-digit divisor and one-digit quotient.

3.OA.3 — One-step multiplication and division word problems

Solve real-world problems using multiplication or division. Kids write equations using a letter for the unknown — “9 × S = 72” — and find the answer.

3.OA.6 — Unknown-factor problems

Find the missing factor by using the inverse relationship between multiplication and division. “4 × P = 40” — the missing factor is 10 because 40 ÷ 4 = 10.

3.OA.7 — Multiply and divide within 100

Fluency with multiplication and division facts up to 10 × 10. The standard says “know from memory” — meaning the child can produce the answer quickly without restarting from scratch each time.

3.OA.8 — Two-step word problems

Two-step problems using addition, subtraction, and multiplication (no division in this standard). The hard part is usually not the arithmetic — it’s reading the problem carefully enough to figure out which two operations to use.

3.OA.9 — Patterns in multiplication

Find and explain patterns on a multiplication table or hundreds chart: multiples of 4, 6, 8, and 10 are all even; multiples of 5 end in 0 or 5; the commutative property makes products appear in two places.

Number & Operations in Base Ten (NBT)

3.NBT.2 — Add and subtract within 1,000

Add and subtract whole numbers up to 1,000 using place value strategies, expanded form, and the relationship between addition and subtraction. The standard U.S. algorithm (“carrying and borrowing”) is not the focus in 3rd grade — that comes in 4th.

3.NBT.3 — Multiply one-digit numbers by multiples of 10

Find the product of a one-digit number and a multiple of 10 between 10 and 90, using place-value reasoning (3 × 50 = 3 groups of 5 tens = 15 tens = 150). The “just add a zero” trick is not what this standard is asking for.

Number & Operations — Fractions (NF)

3.NF.1 — Interpret unit fractions

Understand that 1/4 is one of 4 equal parts of a whole. Denominators limited to 2, 3, 4, 6, and 8. Critical: the parts must be equal — unequal partitioning is a common trap.

3.NF.2 — Interpret non-unit fractions

Understand that 3/4 is 3 copies of 1/4. Represent fractions on area models (rectangles, circles) and length models (number lines). Limited to fractions less than 1.

3.NF.3 — Equivalent fractions; whole numbers as fractions

Show that 1/2 = 2/4 = 4/8 using area and length models. Recognize that a fraction with the same numerator and denominator equals one whole.

3.NF.4 — Compare fractions (same numerator or same denominator)

Compare two fractions when they have the same numerator or the same denominator, by reasoning about piece size. Comparisons are only valid when the two fractions refer to the same whole.

Measurement & Data (MD)

3.MD.1 — Tell time and solve elapsed-time problems within the hour

Tell time to the nearest minute. Find elapsed time for problems that stay within the same hour (4th grade picks up problems that cross the hour).

3.MD.2 — Customary measurement

Estimate and measure length (inches, feet, yards), capacity (cups, pints, quarts, gallons), and weight (ounces, pounds). One-step word problems, same units throughout. No unit conversions yet.

3.MD.3 — Scaled picture and bar graphs

Read and create scaled bar graphs and picture graphs (where one picture stands for more than one data point). Answer “how many more” and “how many fewer” questions from the graph.

3.MD.5 — Area by counting unit squares

Find the area of a rectangle by tiling it with unit squares and counting. The conceptual setup for the area formula in the next standard.

3.MD.7 — Area using multiplication and decomposition

Find the area of a rectangle by multiplying the side lengths. Decompose a larger rectangle into two smaller rectangles, find the area of each, and add. Often appears in word problems.

3.MD.8 — Perimeter

Find the perimeter of a polygon given side lengths. Find a missing side length given the perimeter. Includes regular polygons (all sides equal), where kids use multiplication or division.

Geometry (G)

3.G.1 — Reason with two-dimensional shapes

Identify and describe quadrilaterals: rhombus, rectangle, square, parallelogram, trapezoid. Note: North Carolina uses the exclusive definition of trapezoid — a trapezoid has exactly onepair of parallel sides, so under NC’s rules a parallelogram is not a trapezoid.

What the test looks like

The 3rd-grade Math EOG is a mix of multiple-choice and gridded-response items (kids write a numerical answer into a grid). Calculators are not permitted on the 3rd-grade Math EOG. A reference sheet with measurement conversions is provided.

How to prepare for it

Math benefits more than Reading from targeted practice on specific standards. Multiplication and division fact fluency, fractions, and area/perimeter are the three biggest areas by question count.

• Build multiplication fact fluency steadily through the year — not via timed flash cards alone, but through visual strategies and mental decomposition (7 × 8 = 7 × 5 + 7 × 3).
• For fractions, spend time with visual models (pizzas, number lines) before moving to symbolic comparison.
• Read word problems out loud — twice. The first read is for the situation; the second is to write the equation.
• Practice on paper. The test is on paper.

For structured per-standard practice:

• 3rd-grade EOG practice on EOG Practice — kid-facing practice mapped to each standard above.
• Browse every 3rd-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 an answer key with each item’s standard code, so you can see exactly which standards a real test emphasized.

Related

• What’s on the 3rd-grade NC EOG Reading test?
• When are the NC EOG tests?
• EOG scoring and achievement levels (1–5)