ATLAS Grade 7 Ratios and Proportional Relationships Practice

Ratios and Proportional Relationships skills

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

Compute unit rates associated with ratios of fractions

Recognize and represent proportional relationships between quantities

Use proportional relationships to solve multistep ratio and percent problems

Solve problems involving scale drawings and percent change

Standards basis

Arkansas Academic Standards for Mathematics (CCSS-M–aligned / Arkansas-adopted math standards) — Arkansas

How the ATLAS reports it

Arkansas’s statewide assessment system is ATLAS, which the ADE page says began serving in spring 2024. The official public page does not publish a math blueprint there, so the most defensible coverage map is the Arkansas math standards structure that ATLAS is aligned to.

Blueprint & weighting

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

Official sources

Arkansas DESE Assessment: Test Scores
Arkansas DESE home page
Arkansas DESE: 3–10 ATLAS Content Assessments

8 free questions · 0/0 correct

Practice playeasy

Parallelograms $EFGH$ and $JKLM$ are similar. The area of parallelogram $EFGH$ is $9\textsf{,}$ and the area of parallelogram $JKLM$ is $36\textsf{.}$ Side $EF$ corresponds to side $JK\textsf{,}$ and $EF = 7\textsf{.}$ What is the length of $JK\textsf{?}$

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

Practice playeasy

A $\text{\char36}20$ desk chair is on sale for $30\%$ off. What is the sale price?

Discount: $\dfrac{30}{100} \times \text{\char36}20 = \text{\char36}6\textsf{.}$ Sale price: $\text{\char36}20 - \text{\char36}6 = \text{\char36}14\textsf{.}$

Practice playeasy

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

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

Practice playmedium

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

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

Practice playeasy

Sales tax is $6\%\textsf{.}$ What is the tax on a $\text{\char36}50$ backpack?

Tax: $\dfrac{6}{100} \times \text{\char36}50 = \text{\char36}3\textsf{.}$

Practice playeasy

A restaurant bill is $\text{\char36}20\textsf{.}$ With a $20\%$ tip added, what is the total?

Tip: $\dfrac{20}{100} \times \text{\char36}20 = \text{\char36}4\textsf{.}$ Total: $\text{\char36}20 + \text{\char36}4 = \text{\char36}24\textsf{.}$

Practice playeasy

Find the simple interest on $\text{\char36}300$ at $4\%$ per year for $1$ year.

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

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?
$\begin{array}{l|c|c} \text{Store} & \text{Inventory} & \text{Percent sold} \\ \hline \text{North} & 200 & 25\% \\ \text{South} & 160 & 50\% \end{array}$

North sold $200\cdot 0.25=50$ items. South sold $160\cdot 0.50=80$ items. Difference: $80-50=30$ items.

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

Ratios and Proportional Relationships skills

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

Compute unit rates associated with ratios of fractions

Recognize and represent proportional relationships between quantities

Use proportional relationships to solve multistep ratio and percent problems

Solve problems involving scale drawings and percent change

Topics mapped to this domain

Effect of scale factor on similar figures

Percent discounts

Percent problems

Percent proportion word problems

Percent sales tax

Percent tips

Simple interest

Table problems with percents and ratios (ACT)

Fluid concentration ratios

Ratio, rate, and proportion word problems

Ratios, rates, and proportions

8 free questions · 0/0 correct

Turn ratios and proportional relationships into game time.

More Grade 7 domains