KAP Grade 7 Ratios and Proportional Relationships Practice

Ratios and Proportional Relationships skills

Compute unit rates associated with ratios of fractions

Recognize and represent proportional relationships between quantities

Use proportions to solve multi-step ratio and percent problems

Solve problems involving scale drawings

Convert among units in a rate or ratio context

Standards basis

Kansas College and Career Ready Standards for Mathematics (CCRS-M), closely aligned to Common Core State Standards for Mathematics (CCSS-M) — Kansas

How the KAP reports it

Kansas Assessment Program appears to be a state assessment program rather than a vendor framework like Smarter Balanced or PARCC. The public KAP site did not expose a math blueprint or reporting-category document in the pages I could access, so the safest official mapping is to the state's adopted mathematics standards structure that the assessment is built to.

Blueprint & weighting

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

Official sources

Kansas Assessment Program
KAP — About Our Tests (2017 Kansas Mathematics Standards; domains & clusters; reporting categories)
KSDE — Kansas Standards for Mathematics (KCCRS-M standards documents)

8 free questions · 0/0 correct

Practice playeasy

Pentagons $ABCDE$ and $FGHJK$ are similar. The perimeter of pentagon $ABCDE$ is $35\textsf{,}$ and the perimeter of pentagon $FGHJK$ is $21\textsf{.}$ Side $AB$ corresponds to side $FG\textsf{,}$ and $AB = 20\textsf{.}$ What is the length of $FG\textsf{?}$

The scale factor from pentagon $ABCDE$ to pentagon $FGHJK$ is $\dfrac{21}{35} = \dfrac{3}{5}\textsf{.}$ So $FG = 20 \cdot \dfrac{3}{5} = 12\textsf{.}$

Practice playmedium

An herbicide spray uses concentrate and water in a ratio of $6$ to $24$ . How many cups of concentrate should be added to $2$ quarts of water to make the spray in this ratio? ( $4$ cups $=$ $1$ quart, $4$ quarts $=$ $1$ gallon.)

Two quarts of water is $2 \times 4 = 8$ cups. With a $6$ to $24$ ratio, $\dfrac{6}{24} = \dfrac{x}{8}$ , so $24x = 48$ and $x = 2$ cups of concentrate.

Practice playeasy

A $\text{\char36}100$ bicycle is on sale for $25\%$ off. What is the sale price?

Discount: $\dfrac{25}{100} \times \text{\char36}100 = \text{\char36}25\textsf{.}$ Sale price: $\text{\char36}100 - \text{\char36}25 = \text{\char36}75\textsf{.}$

Practice playeasy

What is $30\%$ of $90$ ?

Convert: $30\% = 0.3$ . Then $0.3 \times 90 = 27$ .

Practice playmedium

After a $25\%$ discount, a board game costs $\text{\char36}45$ . What was the original price, in dollars, before the discount?

The sale price is $75\%$ of the original: $0.75p = 45$ , so $p = 45 \div 0.75 = 60$ dollars.

Practice playeasy

Sales tax is $6\%\textsf{.}$ What is the tax on a $\text{\char36}200$ bicycle?

Tax: $\dfrac{6}{100} \times \text{\char36}200 = \text{\char36}12\textsf{.}$

Practice playeasy

What is a $10\%$ tip on a $\text{\char36}60$ manicure?

Tip: $\dfrac{10}{100} \times \text{\char36}60 = \text{\char36}6\textsf{.}$

Practice playmedium

A recipe uses $3$ cups of flour to make $18$ muffins. At this rate, how many cups of flour are needed to make $30$ muffins?

Set up a proportion: $\dfrac{3}{18} = \dfrac{x}{30}$ , so $18x = 90$ and $x = 5$ cups.

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

Ratios and Proportional Relationships skills

Compute unit rates associated with ratios of fractions

Recognize and represent proportional relationships between quantities

Use proportions to solve multi-step ratio and percent problems

Solve problems involving scale drawings

Convert among units in a rate or ratio context

Topics mapped to this domain

Effect of scale factor on similar figures

Fluid concentration ratios

Percent discounts

Percent problems

Percent proportion word problems

Percent sales tax

Percent tips

Ratio, rate, and proportion word problems

Ratios, rates, and proportions

Simple interest

Table problems with percents and ratios (ACT)

8 free questions · 0/0 correct

Turn ratios and proportional relationships into game time.

More Grade 7 domains