KSA 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 8 practice skills and 8 representative questions from the playable bank.

Grade 7RP8 mapped skills
What the test measures

Ratios and Proportional Relationships skills

  1. Compute unit rates associated with ratios of fractions, including ratios of lengths, areas, and other quantities measured in like or different units

  2. Recognize and represent proportional relationships between quantities

  3. Use proportional relationships to solve multistep ratio and percent problems

  4. Solve problems involving scale drawings and informal geometric constructions

  5. Solve unit rate and percent problems involving discounts, taxes, additions, and markdowns

Standards basis

Kentucky Academic Standards (KAS) for Mathematics — Kentucky

How the KSA reports it

Kentucky KSA is a state summative assessment built on Kentucky Academic Standards (KAS) rather than a separate national framework. For mathematics, the assessed content closely follows Common Core–style grade-band domains in grades 3-8 and uses Kentucky high-school conceptual categories in grade 10.

Blueprint & weighting

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

Try it now

8 free questions · 0/0 correct

Practice playeasy

Similar triangles RSTRST and UVWUVW have perimeters 2828 and 42.42\textsf{.} Side RSRS corresponds to side UV,UV\textsf{,} and RS=10.RS = 10\textsf{.} What is the length of UV?UV\textsf{?}

The scale factor from RST\triangle RST to UVW\triangle UVW is 4228=32.\dfrac{42}{28} = \dfrac{3}{2}\textsf{.} So UV=1032=15.UV = 10 \cdot \dfrac{3}{2} = 15\textsf{.}

Practice playeasy

A $200\text{\char36}200 shirt is on sale for 25%25\% off. What is the sale price?

Discount: 25100×$200=$50\frac{25}{100} \times \text{\char36}200 = \text{\char36}50. Sale: $200$50=$150\text{\char36}200 - \text{\char36}50 = \text{\char36}150.

Practice playmedium

A town's population increased from 12,00012{,}000 to 13,80013{,}800. What is the percent increase?

Increase =13,80012,000=1,800= 13{,}800 - 12{,}000 = 1{,}800. Percent increase =1,80012,000=0.15=15%= \dfrac{1{,}800}{12{,}000} = 0.15 = 15\%.

Practice playeasy

Find the simple interest on $100\text{\char36}100 at 5%5\% per year for 11 year.

I=100×0.05×1=$5I = 100 \times 0.05 \times 1 = \$5.

Practice playmedium

Three purchases are taxed at the rates shown. What is the total cost including tax?
ItemPriceSales taxBook$405%Headphones$608%Cable$2010%\begin{array}{l|c|c} \text{Item} & \text{Price} & \text{Sales tax} \\ \hline \text{Book} & \text{\char36}40 & 5\% \\ \text{Headphones} & \text{\char36}60 & 8\% \\ \text{Cable} & \text{\char36}20 & 10\% \end{array}

Book: 40+0.0540=42.40+0.05\cdot 40=42\textsf{.} Headphones: 60+0.0860=64.80.60+0.08\cdot 60=64.80\textsf{.} Cable: 20+0.1020=22.20+0.10\cdot 20=22\textsf{.} Total: 42+64.80+22=$128.80.42+64.80+22=\text{\char36}128.80\textsf{.}

Practice playeasy

Windshield washer fluid is mixed with concentrate and water in a ratio of 77 to 5656. How many cups of concentrate should be added to 33 gallons of water to make the fluid in this ratio? (44 cups == 11 quart, 44 quarts == 11 gallon.)

Three gallons of water is 3×16=483 \times 16 = 48 cups. With a 77 to 5656 ratio, 756=x48\dfrac{7}{56} = \dfrac{x}{48}, so 56x=33656x = 336 and x=6x = 6 cups of concentrate.

Practice playeasy

A paint mixture uses red and blue paint in a ratio of 44 to 77. How many ounces of blue paint are needed to mix with 3232 ounces of red paint?

Scale the ratio: 3232 oz red is 88 groups of 44, so blue paint = 8×7=568 \times 7 = 56 ounces.

Practice playeasy

Solve for xx: 963=6x\dfrac{9}{63} = \dfrac{6}{x}.

Cross-multiply: 9x=636=3789 x = 63 \cdot 6 = 378. So x=42x = 42.

Keep practicing

Turn ratios and proportional relationships into game time.

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