Free Practice Questions for North Carolina EOG Mathematics Grade 8

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Key Facts: North Carolina EOG Mathematics Grade 8 Exam

NCDPI

State Agency

NC Department of Public Instruction

Grade 8

Grade Level

NCSCOS for Mathematics (2017)

100 Practice Questions

Question Count

OpenExamPrep Bank

NCSCOS for Math Grade 8 (8.NS, 8.EE, 8.F, 8.G, 8.SP)

Standards

NCDPI EOG Math Test Specifications (April 2026)

Prepare for the North Carolina EOG Math Grade 8 test with 100 practice questions spanning integer exponents and scientific notation, linear equations and systems, slope and functions, the Pythagorean Theorem and transformations, volume of cylinders/cones/spheres, and scatter plots and line of best fit.

Sample North Carolina EOG Mathematics Grade 8 Practice Questions

Try these sample questions to review concepts for the North Carolina EOG Mathematics Grade 8 exam. Each question includes a detailed explanation. Start the interactive quiz above for the full 100+ question experience with AI tutoring.

1Simplify 2³ × 2⁴ using properties of exponents.

A.128

B.4096

C.2

D.64

Explanation: When multiplying expressions with the same base, add the exponents: 2³ × 2⁴ = 2³⁺⁴ = 2⁷ = 128.

2Simplify (3²)³.

A.243

B.6561

C.729

D.81

Explanation: When raising a power to a power, multiply the exponents: (3²)³ = 3²ˣ³ = 3⁶ = 729.

3Evaluate √64.

A.32

B.8

C.16

D.6

Explanation: The square root of 64 is the number that, when multiplied by itself, gives 64. Since 8 × 8 = 64, √64 = 8.

4Evaluate ∛27.

A.9

B.6

C.5

D.3

Explanation: The cube root of 27 is the number that, when used as a factor three times, gives 27. Since 3 × 3 × 3 = 27, ∛27 = 3.

5Which statement about √2 is true?

A.It is an irrational number

B.It is exactly equal to 1.5

C.It can be written as a fraction of two integers

D.It is exactly equal to 1.41

Explanation: √2 cannot be expressed as a fraction of two integers and has a non-terminating, non-repeating decimal expansion. Therefore, √2 is an irrational number. (1.41421... is only an approximation, not exact.)

6Write 45,000,000 in scientific notation.

A.45 × 10⁶

B.4.5 × 10⁷

C.4.5 × 10⁶

D.0.45 × 10⁸

Explanation: Move the decimal point until there is one non-zero digit to its left: 45,000,000 = 4.5 × 10,000,000 = 4.5 × 10⁷. The exponent 7 equals the number of places the decimal was moved left.

7Write 0.000308 in scientific notation.

A.3.08 × 10⁴

B.308 × 10⁻⁶

C.3.08 × 10⁻⁴

D.3.08 × 10⁻³

Explanation: Move the decimal point 4 places to the right to get a single non-zero digit to the left of the decimal: 0.000308 = 3.08 × 10⁻⁴. The exponent is negative 4 because the decimal moved right.

8A proportional relationship passes through the points (2, 6) and (4, 12). What is the unit rate (slope)?

A.3

B.2

C.6

D.4

Explanation: Slope = (y₂ − y₁) / (x₂ − x₁) = (12 − 6) / (4 − 2) = 6 / 2 = 3. The unit rate is 3, meaning y increases by 3 for each unit increase in x.

9Simplify 2⁻³ × 2².

A.1/4

B.1/2

C.4

D.1/8

Explanation: Add exponents when multiplying like bases: 2⁻³ × 2² = 2⁻³⁺² = 2⁻¹ = 1/2. A negative exponent means the reciprocal of the base raised to the positive exponent.

10Simplify 5⁻².

A.−25

B.−1/25

C.1/10

D.1/25

Explanation: A negative exponent means take the reciprocal: 5⁻² = 1/5² = 1/25. The negative sign does not make the result negative; it indicates a reciprocal.

About the North Carolina EOG Mathematics Grade 8 Exam

The North Carolina EOG Mathematics Test at Grade 8 measures proficiency on the NCSCOS for Mathematics across Number System/Expressions & Equations, Functions, Geometry, and Statistics & Probability. 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 scientific/graphing 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.

24-28%

Number System, Expressions & Equations

Apply integer-exponent properties, evaluate square and cube roots, compute with scientific notation, and solve linear equations and systems of linear equations.

28-32%

Functions

Define and compare functions, construct linear functions, determine rate of change and initial value, and identify non-linear functions.

24-28%

Geometry

Verify transformations and dilations, apply the Pythagorean Theorem, and solve volume problems for cylinders, cones, and spheres.

16-20%

Statistics & Probability

Construct and interpret scatter plots, identify clustering and outliers, informally fit a straight line, and use a linear model to solve bivariate problems.

Preparing for the North Carolina EOG Mathematics Grade 8 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
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North Carolina EOG Mathematics Grade 8: Suggested Study Strategy

1Isolate the variable on one side before solving linear equations and check the solution by substituting.

2Interpret slope as the rate of change and the y-intercept as the initial value from a graph or table.

3Apply the Pythagorean Theorem only to right triangles and keep units consistent when finding distance.

4Read scatter plots for direction, strength, and outliers before fitting a line of best fit.

Frequently Asked Questions

What is the NC EOG Math Grade 8 test?

It measures Grade 8 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 — Grade 8 has a calculator inactive section (15 items) and a calculator active section (30 items). Grade 8 may use a four-function calculator with square root and algebraic logic or the online Desmos scientific and graphing calculators 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 8; it is not an official NCTest product.

Free Practice Questions for North Carolina EOG Mathematics Grade 8

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