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

Extends proportional reasoning to complex ratio problems and percent applications. This Grade 7 reporting domain maps to 8 practice skills and 8 representative questions from the playable bank.

Grade 78 mapped skills
What the test measures

Ratios and Proportional Relationships skills

  1. Analyze proportional relationships and use them to solve real-world and mathematical problems

  2. Compute unit rates and recognize proportional relationships in tables, graphs, equations, and verbal descriptions

  3. Use scale factors to solve problems involving scale drawings

  4. Solve multi-step ratio and percent problems, including markup, markdown, tax, and simple interest contexts

Standards basis

Nebraska College and Career Ready Standards for Mathematics (2019; Common Core–aligned domain structure) — Nebraska

How the NeSA reports it

Nebraska’s statewide math assessment is administered through NSCAS, but the official assessment page does not publish a test-specific math blueprint or reporting-category document on the page reviewed. In the absence of a public blueprint, the most defensible coverage map is the Nebraska College and Career Ready Standards for Mathematics, which are the state’s current standards basis and closely mirror Common Core-style grade-level domains.

Blueprint & weighting

No public test blueprint or per-domain item weighting was located on the Nebraska Department of Education assessment page reviewed. The page references NSCAS testing windows and general statewide assessment materials, but not math reporting-category percentages.

Try it now

8 free questions · 0/0 correct

Practice playeasy

An engine coolant mixture uses antifreeze concentrate and water in a ratio of 88 to 6464. How many cups of antifreeze concentrate should be added to 44 gallons of water to make the coolant in this ratio? (44 cups == 11 quart, 44 quarts == 11 gallon.)

Four gallons of water is 4×16=644 \times 16 = 64 cups. With an 88 to 6464 ratio, 864=x64\dfrac{8}{64} = \dfrac{x}{64}, so x=8x = 8 cups of antifreeze concentrate.

Practice playmedium

A water tank held 12,50012{,}500 gallons of water. After leaking at a constant rate for 2525 minutes, the tank held 11,00011{,}000 gallons. How many gallons of water leaked from the tank each minute?

Water leaked: 12,50011,000=1,50012{,}500 - 11{,}000 = 1{,}500 gallons in 2525 minutes. Rate: 1,50025=60\dfrac{1{,}500}{25} = 60 gallons per minute.

Practice playeasy

A car travels 390390 miles in 66 hours. What is the speed in miles per hour?

390÷6=65390 \div 6 = 65 miles per hour.

Practice playeasy

Parallelograms EFGHEFGH and JKLMJKLM are similar. The area of parallelogram EFGHEFGH is 9,9\textsf{,} and the area of parallelogram JKLMJKLM is 36.36\textsf{.} Side EFEF corresponds to side JK,JK\textsf{,} and EF=7.EF = 7\textsf{.} What is the length of JK?JK\textsf{?}

The area ratio is 369=4=k2,\dfrac{36}{9} = 4 = k^{2}\textsf{,} so k=2.k = 2\textsf{.} Then JK=72=14.JK = 7 \cdot 2 = 14\textsf{.}

Practice playeasy

Sales tax is 10%10\%. What is the tax on a $80\text{\char36}80 purchase?

Tax: 0.1×$80=$8.00.1 \times \text{\char36}80 = \text{\char36}8.0.

Practice playmedium

The price of a laptop decreased from $800\text{\char36}800 to $680\text{\char36}680. What is the percent decrease?

Decrease =800680=120= 800 - 680 = 120. Percent decrease =120800=0.15=15%= \dfrac{120}{800} = 0.15 = 15\%.

Practice playeasy

Find the simple interest on $300\text{\char36}300 at 4%4\% per year for 11 year.

I=300×0.04×1=$12I = 300 \times 0.04 \times 1 = \$12.

Practice playmedium

Two store locations report inventory and the percent sold. How many more items were sold at the South store than at the North store?
StoreInventoryPercent soldNorth20025%South16050%\begin{array}{l|c|c} \text{Store} & \text{Inventory} & \text{Percent sold} \\ \hline \text{North} & 200 & 25\% \\ \text{South} & 160 & 50\% \end{array}

North sold 2000.25=50200\cdot 0.25=50 items. South sold 1600.50=80160\cdot 0.50=80 items. Difference: 8050=3080-50=30 items.

Keep practicing

Turn ratios and proportional relationships into game time.

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