PSSA 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, including ratios of lengths, areas, and other quantities measured in like or different units

Recognize and represent proportional relationships between quantities

Solve unit rate problems including those involving pricing, constant speed, and percent

Use proportional relationships to solve multistep ratio and percent problems

Standards basis

Pennsylvania Academic Standards for Mathematics / Pennsylvania Assessment Anchors and Eligible Content — Pennsylvania

How the PSSA reports it

PSSA is Pennsylvania’s own standards-based, criterion-referenced assessment. Its math reporting structure is built on the Pennsylvania Academic Standards/Assessment Anchors and Eligible Content rather than a separate multi-state framework, and it closely mirrors CCSS-style grade-level domains.

Blueprint & weighting

The official PSSA page lists the Mathematics Test Design and grade-level item/scoring samplers, but the accessible source excerpt did not expose a usable per-domain percentage blueprint; no reliable item-weight table was recoverable from the available primary page text.

Official sources

Pennsylvania Department of Education — Pennsylvania System of School Assessment (PSSA)
Pennsylvania Department of Education — View Standards

8 free questions · 0/0 correct

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.

Practice playeasy

An engine coolant mixture uses antifreeze concentrate and water in a ratio of $8$ to $64$ . How many cups of antifreeze concentrate should be added to $4$ gallons of water to make the coolant in this ratio? ( $4$ cups $=$ $1$ quart, $4$ quarts $=$ $1$ gallon.)

Four gallons of water is $4 \times 16 = 64$ cups. With an $8$ to $64$ ratio, $\dfrac{8}{64} = \dfrac{x}{64}$ , so $x = 8$ cups of antifreeze concentrate.

PSSA 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, including ratios of lengths, areas, and other quantities measured in like or different units

Recognize and represent proportional relationships between quantities

Solve unit rate problems including those involving pricing, constant speed, and percent

Use proportional relationships to solve multistep ratio and percent problems

Topics mapped to this domain

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