Free Practice Questions for North Carolina EOG Mathematics Grade 5

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Key Facts: North Carolina EOG Mathematics Grade 5 Exam

NCDPI

State Agency

NC Department of Public Instruction

Grade 5

Grade Level

NCSCOS for Mathematics (2017)

100 Practice Questions

Question Count

OpenExamPrep Bank

NCSCOS for Math Grade 5 (5.OA, 5.NBT, 5.NF, 5.MD, 5.G)

Standards

NCDPI EOG Math Test Specifications (April 2026)

Prepare for the North Carolina EOG Math Grade 5 test with 100 practice questions spanning numerical expressions, decimal operations, fraction operations with unlike denominators, unit conversions, volume, line plots, and the coordinate plane.

Sample North Carolina EOG Mathematics Grade 5 Practice Questions

Try these sample questions to review concepts for the North Carolina EOG Mathematics Grade 5 exam. Each question includes a detailed explanation. Start the interactive quiz above for the full 100+ question experience with AI tutoring.

1What is the value of the expression (8 + 2) × 3?

A.30

B.14

C.26

D.48

Explanation: Parentheses first: 8 + 2 = 10. Then multiply: 10 × 3 = 30.

2Evaluate: 4 × (6 - 2).

A.16

B.22

C.8

D.24

Explanation: Parentheses first: 6 - 2 = 4. Then multiply: 4 × 4 = 16.

3Which expression has a value of 20?

A.(12 - 2) × 2

B.12 - 2 × 2

C.(12 + 2) - 2

D.12 × 2 - 2

Explanation: (12 - 2) × 2: parentheses first → 10 × 2 = 20. Check others: 12 - 2×2 = 12 - 4 = 8; (12+2)-2 = 12; 12×2-2 = 22.

4Evaluate: 2 × [3 + (5 - 2)].

A.12

B.10

C.16

D.6

Explanation: Inner parentheses first: 5 - 2 = 3. Brackets next: 3 + 3 = 6. Then multiply: 2 × 6 = 12.

5Evaluate: [4 × (3 + 2)] - 5.

A.15

B.9

C.20

D.25

Explanation: Inner parentheses: 3 + 2 = 5. Brackets: 4 × 5 = 20. Subtract: 20 - 5 = 15.

6Write an expression that represents: "Add 7 and 4, then multiply by 5."

A.(7 + 4) × 5

B.7 + 4 × 5

C.7 × 4 + 5

D.5 × 7 + 4

Explanation: First add 7 and 4: (7 + 4). Then multiply the sum by 5: (7 + 4) × 5. The parentheses ensure the addition is done first.

7Which expression means "subtract 3 from 15, then divide by 4"?

A.(15 - 3) ÷ 4

B.15 - 3 ÷ 4

C.15 ÷ (4 - 3)

D.15 ÷ 4 - 3

Explanation: Subtract 3 from 15 first: (15 - 3) = 12. Then divide by 4: 12 ÷ 4 = 3. The expression is (15 - 3) ÷ 4.

8Without calculating, which expression is greater: (6 + 4) × 3 or 6 + 4 × 3?

A.(6 + 4) × 3

B.6 + 4 × 3

C.They are equal

D.Cannot be determined

Explanation: (6 + 4) × 3 = 10 × 3 = 30. The second: 6 + 4 × 3 = 6 + 12 = 18. 30 > 18, so (6 + 4) × 3 is greater. Grouping the sum before multiplying yields a larger value.

9Lena's rule is "start at 0, add 2." Max's rule is "start at 0, add 6." What is the relationship between corresponding terms in their patterns?

A.Max's term is always 3 times Lena's term

B.Max's term is always 2 times Lena's term

C.Max's term is always 4 more than Lena's term

D.Max's term is always 6 more than Lena's term

Explanation: Lena: 0, 2, 4, 6, 8... Max: 0, 6, 12, 18, 24... At each position, Max's term = 3 times Lena's term (0=3x0, 6=3x2, 12=3x4, 18=3x6). The relationship is Max = 3 x Lena.

10Rule 1: start at 0, add 2. Rule 2: start at 0, add 6. The first four ordered pairs (Rule 1, Rule 2) are (0,0), (2,6), (4,12), (6,18). What is the next ordered pair?

A.(8, 24)

B.(8, 20)

C.(10, 24)

D.(8, 14)

Explanation: Rule 1 continues: 0, 2, 4, 6, 8 (add 2 each time). Rule 2 continues: 0, 6, 12, 18, 24 (add 6 each time). The 5th ordered pair is (8, 24). Note Rule 2 = 3 × Rule 1 at each position.

About the North Carolina EOG Mathematics Grade 5 Exam

The North Carolina EOG Mathematics Test at Grade 5 measures proficiency on the NCSCOS for Mathematics across Operations & Algebraic Thinking, Number & Operations in Base Ten, Number & Operations — Fractions, and Measurement/Data & Geometry. 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.

9-13%

Operations & Algebraic Thinking

Write and evaluate numerical expressions with grouping symbols, and generate and compare two numerical patterns.

25-29%

Number & Operations in Base Ten

Understand place value including decimals, explain powers-of-10 patterns, read/write/compare and round decimals, fluently multiply, find whole-number quotients, and operate with decimals to hundredths.

39-43%

Number & Operations — Fractions

Add and subtract fractions with unlike denominators, interpret fractions as division, multiply fractions and whole numbers, find area with fractional side lengths, and divide unit fractions and whole numbers.

19-23%

Measurement, Data & Geometry

Convert measurement units and solve multistep problems, understand and compute volume, represent and interpret data in line plots, and graph points and classify figures in a hierarchy.

Preparing for the North Carolina EOG Mathematics Grade 5 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
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North Carolina EOG Mathematics Grade 5: Suggested Study Strategy

1Find a common denominator before adding or subtracting fractions with unlike denominators.

2Line up decimal points by place value when adding, subtracting, multiplying, and dividing decimals.

3For volume, count unit cubes first, then apply V = l x w x h for rectangular prisms.

4Convert units by multiplying when going to a smaller unit and dividing when going to a larger unit.

Frequently Asked Questions

What is the NC EOG Math Grade 5 test?

It measures Grade 5 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 and calculator active sections.

Are calculators allowed?

Yes — the test has a calculator inactive section (20 items) and a calculator active section (20 items). 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 5; it is not an official NCTest product.

Free Practice Questions for North Carolina EOG Mathematics Grade 5

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