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Free Practice Questions for North Carolina EOG Mathematics Grade 7

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Key Facts: North Carolina EOG Mathematics Grade 7 Exam

NCDPI

State Agency

NC Department of Public Instruction

Grade 7

Grade Level

NCSCOS for Mathematics (2017)

100 Practice Questions

Question Count

OpenExamPrep Bank

NCSCOS for Math Grade 7 (7.RP, 7.NS, 7.EE, 7.G, 7.SP)

Standards

NCDPI EOG Math Test Specifications (April 2026)

Prepare for the North Carolina EOG Math Grade 7 test with 100 practice questions spanning proportional relationships and percents, rational-number operations, linear expressions and equations, scale drawings and surface area/volume, and probability and sampling inferences.

Sample North Carolina EOG Mathematics Grade 7 Practice Questions

Try these sample questions to review concepts for the North Carolina EOG Mathematics Grade 7 exam. Each question includes a detailed explanation. Start the interactive quiz above for the full 100+ question experience with AI tutoring.

1A recipe uses 3/4 cup of sugar for 2 servings. How many cups of sugar are used per serving?
A.3/8 cup
B.1 1/2 cups
C.2/3 cup
D.1 1/3 cups
Explanation: Divide the sugar by the servings: (3/4) ÷ 2 = 3/4 × 1/2 = 3/8 cup per serving.
2A runner runs 7/2 miles in 3/4 hour. What is the unit rate in miles per hour?
A.4 2/3 mph
B.2 5/8 mph
C.3 1/2 mph
D.5 1/4 mph
Explanation: Divide distance by time: (7/2) ÷ (3/4) = 7/2 × 4/3 = 28/6 = 14/3 = 4 2/3 mph.
3A table shows x: 2, 4, 6 and y: 5, 10, 15. What is the constant of proportionality?
A.2.5
B.3
C.0.4
D.5
Explanation: k = y/x = 5/2 = 2.5. Check: 10/4 = 2.5 and 15/6 = 2.5.
4y is proportional to x. When x = 3, y = 12. Which equation represents the relationship?
A.y = 4x
B.y = 12x
C.y = 3x
D.y = 1/4 x
Explanation: k = y/x = 12/3 = 4, so y = 4x.
5Six bottles of juice cost $3.60. What is the cost per bottle?
A.$0.60
B.$0.50
C.$0.72
D.$1.80
Explanation: Unit price = total ÷ count = 3.60 ÷ 6 = $0.60 per bottle.
6What is 25% of 80?
A.20
B.200
C.2
D.4
Explanation: 25% of 80 = 0.25 × 80 = 20.
7What is 15% of 200?
A.30
B.300
C.3
D.15
Explanation: 15% of 200 = 0.15 × 200 = 30.
8An item costs $40 before tax. Sales tax is 8%. What is the total cost including tax?
A.$43.20
B.$3.20
C.$48.00
D.$32.00
Explanation: Tax = 0.08 × 40 = $3.20. Total = 40 + 3.20 = $43.20. Or 40 × 1.08 = $43.20.
9A hose fills 5/3 gallons in 2/5 minute. What is the rate in gallons per minute?
A.4 1/6 gpm
B.2/3 gpm
C.3 1/3 gpm
D.5/6 gpm
Explanation: (5/3) ÷ (2/5) = 5/3 × 5/2 = 25/6 = 4 1/6 gallons per minute.
10The graph of a proportional relationship passes through the point (6, 9). What is the constant of proportionality?
A.1.5
B.2/3
C.6
D.9
Explanation: For a proportional relationship through the origin, k = y/x = 9/6 = 1.5.

About the North Carolina EOG Mathematics Grade 7 Exam

The North Carolina EOG Mathematics Test at Grade 7 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.

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 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 / 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 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%

Ratios & Proportional Relationships

Compute unit rates, recognize and represent proportional relationships, identify the constant of proportionality, solve multistep ratio and percent problems, and work with scale drawings.

8-12%

The Number System

Add, subtract, multiply, and divide integers and rational numbers and represent operations on a number line.

20-24%

Expressions & Equations

Add, subtract, factor, and expand linear expressions and solve real-world problems using numerical and algebraic expressions and equations.

16-20%

Geometry

Solve scale-drawing problems and solve problems involving angle measure, area, surface area, and volume.

22-26%

Statistics & Probability

Use random sampling, draw informal comparative inferences about two populations, develop probability models, and find probabilities of compound events.

Preparing for the North Carolina EOG Mathematics Grade 7 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 / 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 7: Suggested Study Strategy

1Test whether a relationship is proportional by checking for a constant of proportionality.
2Use number lines to add and subtract integers before relying on rules.
3Distribute and combine like terms to simplify linear expressions before solving.
4Build organized lists, tables, or tree diagrams to find probabilities of compound events.

Frequently Asked Questions

What is the NC EOG Math Grade 7 test?

It measures Grade 7 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 covering topics from the public NCSCOS for Mathematics Grade 7; it is not an official NCTest product.