Free Practice Questions for North Carolina EOG Mathematics Grade 3

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Key Facts: North Carolina EOG Mathematics Grade 3 Exam

NCDPI

State Agency

NC Department of Public Instruction

Grade 3

Grade Level

NCSCOS for Mathematics (2017)

100 Practice Questions

Question Count

OpenExamPrep Bank

NCSCOS for Math Grade 3 (3.OA, 3.NBT, 3.NF, 3.MD, 3.G)

Standards

NCDPI EOG Math Test Specifications (April 2026)

Prepare for the North Carolina EOG Math Grade 3 test with 100 practice questions spanning multiplication and division within 100, addition/subtraction within 1,000, fractions on a number line, time, mass, area, perimeter, graphs, and shapes.

Sample North Carolina EOG Mathematics Grade 3 Practice Questions

Try these sample questions to review concepts for the North Carolina EOG Mathematics Grade 3 exam. Each question includes a detailed explanation. Start the interactive quiz above for the full 100+ question experience with AI tutoring.

1Mia has 4 boxes of crayons. Each box has 8 crayons. How many crayons does Mia have in all?

A.12

B.32

C.36

D.24

Explanation: 4 groups of 8 means 4 × 8. 4 × 8 = 32, so Mia has 32 crayons.

2Which expression shows 7 × 6 written as repeated addition?

A.7 + 6

B.6 × 7

C.7 + 7 + 7 + 7 + 7

D.6 + 6 + 6 + 6 + 6 + 6 + 6

Explanation: 7 × 6 means 7 groups of 6, so as repeated addition it is 6 + 6 + 6 + 6 + 6 + 6 + 6 — seven 6s, which add to 42. Counting the number of addends (7) and the size of each group (6) is the key step.

312 pencils are shared equally among 3 friends. How many pencils does each friend get?

A.3

B.9

C.4

D.15

Explanation: 12 ÷ 3 means splitting 12 into 3 equal groups. 3 × 4 = 12, so 12 ÷ 3 = 4. Each friend gets 4 pencils.

4What is 9 × 3?

A.12

B.27

C.21

D.24

Explanation: 9 × 3 = 27. Think: 9 + 9 + 9 = 27, or three 9s.

5Find the missing number: 6 × ? = 42.

A.6

B.7

C.8

D.36

Explanation: 6 × 7 = 42, so the missing factor is 7. You can check by skip-counting 6s: 6, 12, 18, 24, 30, 36, 42 (seven 6s).

6Which equation shows the commutative property of multiplication?

A.3 × 4 = 4 × 3

B.(2 × 3) × 4 = 2 × (3 × 4)

C.3 × 0 = 0

D.3 × 1 = 3

Explanation: The commutative property says the order of factors does not change the product: 3 × 4 = 4 × 3 = 12.

7Use the distributive property to find 8 × 6. Which expression is correct?

A.8 × (5 + 1) = 8×5 + 8×1

B.8 + 6 = 14

C.(8 + 6) × 2 = 28

D.8 × (6 − 1) = 40

Explanation: Split 6 into 5 + 1: 8 × 6 = 8 × (5 + 1) = (8×5) + (8×1) = 40 + 8 = 48.

8Which fact is related to 6 × 4 = 24 in a fact family?

A.24 − 6 = 18

B.24 ÷ 4 = 6

C.6 + 4 = 10

D.4 + 6 = 10

Explanation: Multiplication and division are inverse operations. From 6 × 4 = 24, the related division facts are 24 ÷ 6 = 4 and 24 ÷ 4 = 6.

9Ms. Lee has 35 stickers. She gives 5 stickers to each student. How many students get stickers?

A.5

B.7

C.30

D.40

Explanation: This is 35 ÷ 5. Think: 5 × ? = 35. Since 5 × 7 = 35, then 35 ÷ 5 = 7. Seven students get stickers.

10What is 56 ÷ 8?

A.6

B.7

C.8

D.48

Explanation: 8 × 7 = 56, so 56 ÷ 8 = 7. You can also count up by 8s: 8, 16, 24, 32, 40, 48, 56 — that is seven 8s.

About the North Carolina EOG Mathematics Grade 3 Exam

The North Carolina EOG Mathematics Test at Grade 3 measures proficiency on the NCSCOS for Mathematics across Operations & Algebraic Thinking, Number & Operations in Base Ten, Number & Operations — Fractions, and Measurement/Data & Geometry. It is administered online through NCTest with calculator inactive and calculator active sections. This 100-question practice bank is an English-language MCQ study adaptation with worked calculation items.

Exam sponsor: North Carolina Department of Public Instruction (NCDPI). The requirements and fees below concern the certification or admission exam, separate from our free practice resources.

Assessment

Online fixed-form mathematics assessment delivered through NCTest with four-response-option multiple-choice, gridded response/numeric entry, and technology-enhanced items; calculator inactive and calculator active sections. This local bank contains 100 English four-option practice MCQs across 4 standards domains.

Time Limit

Estimated 120 minutes; maximum 180 minutes

Passing Score

Four achievement levels: Not Proficient, Level 3, Level 4, Level 5. Level 3 and above denotes proficiency.

Exam / Certification Fees

No fee to students

Exam sponsor website

Reported exam pass rate: Not applicable (achievement levels are reported). Exam sponsor website

Fees, eligibility, and exam policies can change. Confirm them with the exam sponsor before applying or paying.

Official sources

NCDPI EOG Mathematics Grades 3-8 Test Specifications
NCSCOS for Mathematics (2017)
NCTest released forms and Desmos four-function calculator

Our practice resources: topics covered

We aim to reflect publicly available exam outlines and topic information in our study resources. Coverage, format, and difficulty may differ from the actual exam, and we cannot guarantee that every detail is accurate or current. Confirm exam requirements, fees, and policies with the official exam sponsor.

32-36%

Operations & Algebraic Thinking

Interpret products and quotients as equal groups/arrays, fluently multiply and divide within 100, apply properties of operations, and solve two-step word problems using the four operations.

9-13%

Number & Operations in Base Ten

Round whole numbers to nearest 10 or 100, fluently add and subtract within 1,000, and multiply one-digit whole numbers by multiples of 10.

28-32%

Number & Operations — Fractions

Understand unit fractions, represent fractions on a number line, generate equivalent fractions, express whole numbers as fractions, and compare fractions with same numerator or denominator.

23-27%

Measurement, Data & Geometry

Tell time to the nearest minute and solve elapsed-time problems, measure liquid volume and mass, represent and interpret data, understand area and perimeter, and reason with shapes and their attributes.

Preparing for the North Carolina EOG Mathematics Grade 3 Exam

What You Need to Know

Passing score: Four achievement levels: Not Proficient, Level 3, Level 4, Level 5. Level 3 and above denotes proficiency.
Assessment: Online fixed-form mathematics assessment delivered through NCTest with four-response-option multiple-choice, gridded response/numeric entry, and technology-enhanced items; calculator inactive and calculator active sections. This local bank contains 100 English four-option practice MCQs across 4 standards domains.
Time limit: Estimated 120 minutes; maximum 180 minutes
Exam / certification fees: No fee to students Official sources

Using Our Practice Resources

Work through all 100 available questions
Review every answer and explanation
Track weak areas and revisit them
Use our AI tutor for tough concepts

North Carolina EOG Mathematics Grade 3: Suggested Study Strategy

1Build fluency multiplying and dividing within 100 so two-step word problems feel automatic.

2Draw equal-groups and array models to interpret products and quotients before computing.

3Use number line diagrams to compare fractions with the same numerator or denominator.

4Label units (minutes, grams, square centimeters) on every measurement and area/perimeter problem.

Frequently Asked Questions

What is the NC EOG Math Grade 3 test?

It measures Grade 3 proficiency on the NCSCOS for Mathematics via an online, fixed-form assessment delivered through NCTest with four-response-option multiple-choice, gridded response, and technology-enhanced items in calculator inactive and calculator active sections.

Are calculators allowed?

The Grade 3 EOG Math test has a calculator inactive section (20 items) and a calculator active section (20 items). Students in grades 3-5 may use a four-function calculator with memory key on calculator active items.

Is this practice bank affiliated with NCDPI?

No. It is an independent study resource covering topics from the public NCSCOS for Mathematics Grade 3; it is not an official NCTest product.

Free Practice Questions for North Carolina EOG Mathematics Grade 3

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