NC EOG/EOC Grade 6 Ratios and Proportional Relationships Practice

What the test measures

Ratios and Proportional Relationships skills

Understand ratio concepts and use ratio reasoning to solve problems
Find unit rates and solve problems involving rates and percent

Standards basis

North Carolina Standard Course of Study (NCSCOS) — North Carolina

How the NC EOG/EOC reports it

North Carolina’s math assessments are state-developed EOG/EOC tests aligned to the North Carolina Standard Course of Study (NCSCOS) for Mathematics, adopted June 2016, rather than a shared multistate framework. The EOG Grades 3-8 Mathematics Test Specifications and the EOC NC Math 1 and NC Math 3 Test Specifications publish, in Table 1/Table 2, the range of total items by domain (the official domain weight distributions). The NCSCOS K-8 domains carry CCSS domain codes (NC.3.OA, NC.8.F, …) and are CCSS-derived; NC Math 1 and NC Math 3 are integrated high-school EOC courses whose standards carry NC.M1/NC.M3 conceptual-category codes (Number and Quantity, Algebra, Functions, Geometry, Statistics and Probability).

Blueprint & weighting

Published per-domain weight ranges come from the NC DPI EOG/EOC Mathematics Test Specifications (April 2026), Table 1/Table 2 (range of total items by domain). EOG grades 3-5 (Table 1): Operations and Algebraic Thinking 32-36% (g3) / 14-18% (g4) / 9-13% (g5); Number and Operations in Base Ten 9-13% / 25-29% / 25-29%; Number and Operations – Fractions 28-32% / 30-34% / 39-43%; Measurement and Data, Geometry 23-27% / 23-27% / 19-23%. EOG grades 6-8 (Table 2): Ratios and Proportional Relationships 24-28% (g6) / 24-28% (g7) / — (g8); The Number System 20-24% / 8-12% / —; Expressions and Equations 22-26% / 20-24% / —; The Number System, Expressions and Equations (combined) — / — / 24-28%; Functions — / — / 28-32%; Geometry 12-16% / 16-20% / 24-28%; Statistics and Probability 12-16% / 22-26% / 16-20%. EOC (Table 1): NC Math 1 — Number and Quantity and Algebra 36-40%, Functions 32-36%, Geometry 8-12%, Statistics and Probability 18-20%; NC Math 3 — Number and Quantity and Algebra 32-36%, Functions 32-36%, Geometry 20-24%, Statistics and Probability 8-12%.

Official sources

NC DPI End-of-Grade (EOG)
NC DPI 2025-26 EOC Assessment Brief
NC DPI EOG Mathematics Grades 3-8 Test Specifications (April 2026)

Practice by skill

Topics mapped to this domain

Try it now

8 free questions · 0/0 correct

Practice playmedium

A patient receives $2{,}500$ milliliters of IV fluid. How many liters is that? ( $1$ liter $= 1{,}000$ milliliters)

Use a conversion factor with liters in the numerator so milliliters cancel: $2{,}500 \text{ mL} \times \dfrac{1 \text{ L}}{1{,}000 \text{ mL}} = 2.5 \text{ L}$ .

Practice playeasy

Write $5\%$ as a decimal.

Divide by 100: $5\% = 0.05$ .

Practice playeasy

A novel has $1{,}200$ pages. Maya has read $15\%$ of the pages. How many pages has Maya read?

Convert $15\%$ to a decimal and multiply: $0.15 \times 1{,}200 = 180$ pages.

Practice playeasy

A bike path is $9$ miles long. How many feet is that? ( $1$ mile $= 1{,}760$ yards and $1$ yard $= 3$ feet)

Convert miles to yards, then yards to feet: $9 \text{ mi} \times \dfrac{1{,}760 \text{ yd}}{1 \text{ mi}} \times \dfrac{3 \text{ ft}}{1 \text{ yd}} = 47{,}520 \text{ ft}$ .

Practice playeasy

At a livestock auction, a calf is listed at $28$ stones. What is the calf's weight in pounds? ( $1$ stone $= 14$ pounds)

Use a conversion factor with pounds in the numerator so stones cancel: $28 \text{ stones} \times \dfrac{14 \text{ lb}}{1 \text{ stone}} = 392 \text{ lb}$ .

Practice playeasy

Write $5\%$ as a fraction in lowest terms.

$5\% = \dfrac{1}{20}$ .

Practice playeasy

A community center expects $80$ volunteers for a cleanup day. By $8$ a.m., $60\%$ of the volunteers have signed in. How many volunteers have signed in by $8$ a.m.?

Convert $60\%$ to a decimal and multiply: $0.60 \times 80 = 48$ volunteers.

Practice playeasy

A cooler holds $4$ gallons of lemonade. How many pints is that? ( $1$ gallon $= 4$ quarts and $1$ quart $= 2$ pints)

Convert gallons to quarts, then quarts to pints: $4 \text{ gal} \times \dfrac{4 \text{ qt}}{1 \text{ gal}} \times \dfrac{2 \text{ pt}}{1 \text{ qt}} = 32 \text{ pt}$ .