WVGSA Grade 7 Ratios and Proportional Relationships. Practice it free.

Analyze proportional relationships and use them to solve real-world and mathematical problems. This Grade 7 reporting domain maps to 7 practice skills and 8 representative questions from the playable bank.

Grade 77 mapped skills
What the test measures

Ratios and Proportional Relationships skills

  1. Compute unit rates with fractional quantities.

  2. Decide whether two quantities are proportional.

  3. Identify constant of proportionality from tables, graphs, equations, and descriptions.

  4. Represent proportional relationships by equations.

  5. Interpret points on proportional graphs.

  6. 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).

Try it now

8 free questions · 0/0 correct

Practice playmedium

Five identical printing presses can complete a job in 1212 hours. Working at the same rate, how many hours would it take 88 of these presses to complete the same job?

Total work is fixed. Time with 88 presses: 5×128=608=7.5\dfrac{5 \times 12}{8} = \dfrac{60}{8} = 7.5 hours.

Practice playeasy

Solve for nn: 29=n45\dfrac{2}{9} = \dfrac{n}{45}.

Cross-multiply: 9n=909n = 90, so n=10n = 10.

Practice playmedium

A bubble solution uses soap concentrate and water in a ratio of 55 to 4040. How many cups of soap concentrate should be added to 66 gallons of water to make the solution in this ratio? (44 cups == 11 quart, 44 quarts == 11 gallon.)

Six gallons of water is 6×16=966 \times 16 = 96 cups. With a 55 to 4040 ratio, 540=x96\dfrac{5}{40} = \dfrac{x}{96}, so 40x=48040x = 480 and x=12x = 12 cups of concentrate.

Practice playeasy

A $60\text{\char36}60 shirt is on sale for 15%15\% off. What is the sale price?

Discount: 0.15×$60=$9.00.15 \times \text{\char36}60 = \text{\char36}9.0. Sale: $60$9.0=$51.0\text{\char36}60 - \text{\char36}9.0 = \text{\char36}51.0.

Practice playeasy

A customer buys a desk for $250\text{\char36}250 and pays 7%7\% sales tax on the purchase. How much is the sales tax, in dollars?

Tax =0.07×250=17.50= 0.07 \times 250 = 17.50 dollars.

Practice playeasy

Find the simple interest on $200\text{\char36}200 at 10%10\% per year for 22 years.

I=200×0.10×2=$40I = 200 \times 0.10 \times 2 = \$40.

Practice playmedium

At a fitness challenge, each completed attempt scores the points shown. How many points were scored in all?
StationAttemptsPercent completedPoints eachJump2080%1Sprint1560%2Throw2540%3\begin{array}{l|c|c|c} \text{Station} & \text{Attempts} & \text{Percent completed} & \text{Points each} \\ \hline \text{Jump} & 20 & 80\% & 1 \\ \text{Sprint} & 15 & 60\% & 2 \\ \text{Throw} & 25 & 40\% & 3 \end{array}

Jump: 200.80=1620\cdot 0.80=16 completed for 161=1616\cdot 1=16 points. Sprint: 150.60=915\cdot 0.60=9 completed for 92=189\cdot 2=18 points. Throw: 250.40=1025\cdot 0.40=10 completed for 103=3010\cdot 3=30 points. Total: 16+18+30=6416+18+30=64 points.

Practice playmedium

On a map, 1.51.5 inches represents an actual distance of 3636 miles. At this scale, what is the actual distance, in miles, represented by 44 inches on the map?

Scale: 361.5=24\dfrac{36}{1.5} = 24 miles per inch. For 44 inches: 24×4=9624 \times 4 = 96 miles.

Keep practicing

Turn ratios and proportional relationships into game time.

The WVGSA placement starts with this test's real coverage map and finds the right difficulty.