100+ Free North Carolina EOG Mathematics Grade 6 Practice Questions

Prepare for the North Carolina End-of-Grade Mathematics Test — Grade 6 exam with instant access — no signup required.

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Key Facts: North Carolina EOG Mathematics Grade 6 Exam

NCDPI

State Agency

NC Department of Public Instruction

Grade 6

Grade Level

NCSCOS for Mathematics (2017)

100 Practice Questions

Question Count

OpenExamPrep Bank

NCSCOS for Math Grade 6 (6.RP, 6.NS, 6.EE, 6.G, 6.SP)

Standards

NCDPI EOG Math Test Specifications (April 2026)

Prepare for the North Carolina EOG Math Grade 6 test with 100 practice questions spanning ratios and percents, fraction division, integers and the coordinate plane, algebraic expressions and one-variable equations, area and volume, and describing data distributions.

Sample North Carolina EOG Mathematics Grade 6 Practice Questions

Try these sample questions to test your North Carolina EOG Mathematics Grade 6 exam readiness. Each question includes a detailed explanation. Start the interactive quiz above for the full 100+ question experience with AI tutoring.

1A jar has 3 red marbles and 5 blue marbles. What is the ratio of red marbles to the total number of marbles?

A.3:5

B.3:8

C.5:8

D.5:3

Explanation: Red marbles = 3, total marbles = 3 + 5 = 8. The ratio of red to total is 3:8.

2Twelve apples cost $4.80. What is the cost per apple?

A.$0.40

B.$0.50

C.$2.50

D.$0.30

Explanation: Divide total cost by the number of apples: $4.80 / 12 = $0.40 per apple.

3A recipe uses 2 cups of flour for every 3 cups of sugar. How many cups of sugar are needed for 8 cups of flour?

A.10

B.12

C.14

D.16

Explanation: The ratio 2:3 means 2 parts flour to 3 parts sugar. For 8 cups of flour, 8 / 2 = 4 batches, so 4 x 3 = 12 cups of sugar.

4What is 25% of 80?

A.20

B.15

C.25

D.40

Explanation: 25% = 0.25. Multiply: 0.25 x 80 = 20.

5For every 4 dogs at a shelter, there are 3 cats. What is the ratio of cats to dogs?

A.4:3

B.3:4

C.3:7

D.4:7

Explanation: The ratio of cats to dogs means cats come first. There are 3 cats and 4 dogs, so the ratio is 3:4.

6A car travels 60 miles in 2 hours. What is the unit rate in miles per hour?

A.30 mph

B.60 mph

C.120 mph

D.20 mph

Explanation: Divide distance by time: 60 miles / 2 hours = 30 miles per hour.

7How many inches are in 5 feet?

A.60 inches

B.48 inches

C.72 inches

D.30 inches

Explanation: There are 12 inches in 1 foot. Multiply: 5 x 12 = 60 inches.

8Which fraction is equal to 40%?

A.2/5

B.4/5

C.40/100

D.2/10

Explanation: 40% = 40/100. Divide numerator and denominator by 20: 40/100 = 2/5 in simplest form.

9In a class, the ratio of boys to girls is 2:3. If there are 12 boys, how many girls are there?

A.18

B.8

C.24

D.16

Explanation: The ratio 2:3 means 2 parts boys to 3 parts girls. 12 boys / 2 = 6 per part. Girls = 3 x 6 = 18.

10Store A sells 3 pounds of apples for $6.75. Store B sells 5 pounds of apples for $10.50. Which store has the lower unit price?

A.Store A

B.Store B

C.Both have the same price

D.Cannot be determined

Explanation: Store A: $6.75 / 3 = $2.25 per pound. Store B: $10.50 / 5 = $2.10 per pound. $2.10 < $2.25, so Store B is cheaper.

About the North Carolina EOG Mathematics Grade 6 Exam

The North Carolina EOG Mathematics Test at Grade 6 measures proficiency on the NCSCOS for Mathematics across Ratios & Proportional Relationships, the Number System, Expressions & Equations, Geometry, and Statistics & Probability. This 100-question practice bank is an English-language MCQ study adaptation with worked calculation items.

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 5 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 Fee

No fee to students (North Carolina Department of Public Instruction (NCDPI))

North Carolina EOG Mathematics Grade 6 Exam Content Outline

24-28%

Ratios & Proportional Relationships

Understand ratio and unit-rate concepts and use ratio/rate reasoning and percents to solve real-world problems.

20-24%

The Number System

Divide fractions by fractions, compute with multi-digit numbers, find factors and multiples, work with integers and absolute value, and graph points in all four quadrants.

22-26%

Expressions & Equations

Write and evaluate expressions, generate equivalent expressions, solve one-variable equations and inequalities, and represent relationships between variables.

12-16%

Geometry

Find area by composing and decomposing shapes and find volume and surface area of right rectangular prisms with fractional edge lengths.

12-16%

Statistics & Probability

Identify statistical questions and summarize and describe distributions by center, spread, and shape using dot plots, histograms, and box plots.

How to Pass the North Carolina EOG Mathematics Grade 6 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 5 standards domains.
Time limit: Estimated 120 minutes; maximum 180 minutes
Exam fee: No fee to students

Keys to Passing

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 6 Study Tips from Top Performers

1Rewrite ratios as unit rates to compare quantities and solve percent problems.

2Keep fraction division straight: 'keep, change, flip' then multiply.

3Combine like terms and apply the distributive property before solving equations.

4Summarize a data set using center (mean/median) and spread (range/IQR), not just an average.

Frequently Asked Questions

What is the NC EOG Math Grade 6 test?

It measures Grade 6 proficiency on the NCSCOS for Mathematics via an online, fixed-form assessment delivered through NCTest with multiple-choice, gridded response, and technology-enhanced items in calculator inactive (15) and calculator active (30) sections.

Are calculators allowed?

Yes — grades 6-8 have a calculator inactive section (15 items) and a calculator active section (30 items). A four-function calculator with square root and algebraic logic (or the online Desmos scientific calculator) is used on calculator active items.

Is this practice bank affiliated with NCDPI?

No. It is an independent study resource aligned to the public NCSCOS for Mathematics Grade 6; it is not an official NCTest product.

100+ Free North Carolina EOG Mathematics Grade 6 Practice Questions

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