NC EOG/EOC Grade 7 Ratios and Proportional Relationships Practice

What the test measures

Ratios and Proportional Relationships skills

Analyze proportional relationships and use them to solve real-world and mathematical problems
Solve multistep ratio and percent problems

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 pool treatment uses chlorine concentrate and water in a ratio of $9$ to $72$ . How many cups of chlorine concentrate should be added to $5$ gallons of water to make the treatment in this ratio? ( $4$ cups $=$ $1$ quart, $4$ quarts $=$ $1$ gallon.)

Five gallons of water is $5 \times 16 = 80$ cups. With a $9$ to $72$ ratio, $\dfrac{9}{72} = \dfrac{x}{80}$ , so $72x = 720$ and $x = 10$ cups of concentrate.

Practice playmedium

On a map, $1.5$ inches represents an actual distance of $36$ miles. At this scale, what is the actual distance, in miles, represented by $4$ inches on the map?

Scale: $\dfrac{36}{1.5} = 24$ miles per inch. For $4$ inches: $24 \times 4 = 96$ miles.

Practice playeasy

Solve for $x$ : $\dfrac{4}{32} = \dfrac{6}{x}$ .

Cross-multiply: $4 x = 32 \cdot 6 = 192$ . So $x = 48$ .

Practice playeasy

$4$ is what percent of $40$ ?

$\frac{4}{40} = 0.1 = 10\%$ .

Practice playeasy

In a survey of $400$ people, $35\%$ said they prefer option A. How many people is that?

$0.35 \times 400 = 140$ people.

Practice playeasy

Find the simple interest on $\text{\char36}500$ at $10\%$ per year for $1$ year.

$I = 500 \times 0.10 \times 1 = \$50$ .

Practice playeasy

An online store tracked orders by size. How many orders were completed?
$\begin{array}{l|c|c} \text{Size} & \text{Orders placed} & \text{Percent completed} \\ \hline \text{Small} & 40 & 90\% \\ \text{Medium} & 50 & 80\% \\ \text{Large} & 30 & 70\% \end{array}$

Small: $40 \cdot 0.90 = 36\textsf{.}$ Medium: $50 \cdot 0.80 = 40\textsf{.}$ Large: $30 \cdot 0.70 = 21\textsf{.}$ Total completed: $36+40+21=97$ orders.

Practice playmedium

A bubble solution uses soap concentrate and water in a ratio of $5$ to $40$ . How many cups of soap concentrate should be added to $6$ gallons of water to make the solution in this ratio? ( $4$ cups $=$ $1$ quart, $4$ quarts $=$ $1$ gallon.)

Six gallons of water is $6 \times 16 = 96$ cups. With a $5$ to $40$ ratio, $\dfrac{5}{40} = \dfrac{x}{96}$ , so $40x = 480$ and $x = 12$ cups of concentrate.