WVGSA Grade 7 Ratios and Proportional Relationships Practice

What the test measures

Ratios and Proportional Relationships skills

Compute unit rates with fractional quantities.
Decide whether two quantities are proportional.
Identify constant of proportionality from tables, graphs, equations, and descriptions.
Represent proportional relationships by equations.
Interpret points on proportional graphs.
Solve multistep ratio, percent, tax, markup, discount, gratuity, commission, and percent-error problems.

Standards basis

West Virginia College- and Career-Readiness Standards for Mathematics (WVBE Policy 2520.2B) — West Virginia

How the WVGSA reports it

West Virginia’s General Summative Assessment is a state assessment aligned to the West Virginia College- and Career-Readiness Standards rather than a separate national assessment framework. The math blueprint follows CCSS-style grade-band domains and clusters, but the standards are the state’s own West Virginia College- and Career-Readiness Standards.

Blueprint & weighting

WVGSA uses the Independent / state-specific framework (by grade domains structure).

Official sources

West Virginia Department of Education: General Summative Assessment
West Virginia Department of Education: Grade 3 Mathematics Standards
West Virginia Department of Education: Grade 4 Mathematics Standards

Practice by skill

Topics mapped to this domain

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8 free questions · 0/0 correct

Practice playmedium

Five identical printing presses can complete a job in $12$ hours. Working at the same rate, how many hours would it take $8$ of these presses to complete the same job?

Total work is fixed. Time with $8$ presses: $\dfrac{5 \times 12}{8} = \dfrac{60}{8} = 7.5$ hours.

Practice playeasy

Solve for $n$ : $\dfrac{2}{9} = \dfrac{n}{45}$ .

Cross-multiply: $9n = 90$ , so $n = 10$ .

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.

Practice playeasy

A $\text{\char36}120$ lamp is on sale for $15\%$ off. What is the sale price?

Discount: $\dfrac{15}{100} \times \text{\char36}120 = \text{\char36}18\textsf{.}$ Sale price: $\text{\char36}120 - \text{\char36}18 = \text{\char36}102\textsf{.}$