MAST Grade 7 Solve Problems with Ratio and Proportion Practice

Solve Problems with Ratio and Proportion skills

Represent proportional relationships with equations and solve multi-step problems.

Use proportional relationships to solve ratio, percent, and scale drawing problems.

Standards: 7.RP.3, 7.G.1

Standards basis

Montana PK-12 Mathematics Content Standards / Common Core State Standards for Mathematics (CCSS-M)-aligned Montana standards — Montana

How the MAST reports it

Montana’s MAST is a state-specific through-year assessment built by New Meridian and aligned to Montana’s academic content standards, not a Smarter Balanced-style claims/targets framework. The math blueprints organize content into grade-level strands/testlets that map directly to CCSS-M-derived Montana standards.

Blueprint & weighting

The blueprint publishes a through-year design of 12 strands/testlets per grade, with 1 strand per testlet, 2 reporting attributes per strand, and 9–13 items per testlet. It also specifies approximate item-type and DOK distributions, but does not publish percentage weighting by domain in the captured blueprint text.

Official sources

Montana OPI MontCAS
Montana OPI - MasteryGuide Mathematics Assessment Specifications and Blueprints
Montana OPI - Montana MAST Math Testlets

8 free questions · 0/0 correct

Practice playeasy

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

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

Practice playmedium

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

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

Practice playeasy

Find the simple interest on $\text{\char36}100$ at $5\%$ per year for $1$ year.

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

Practice playmedium

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

Book: $40+0.05\cdot 40=42\textsf{.}$ Headphones: $60+0.08\cdot 60=64.80\textsf{.}$ Cable: $20+0.10\cdot 20=22\textsf{.}$ Total: $42+64.80+22=\text{\char36}128.80\textsf{.}$

Practice playeasy

Similar triangles $RST$ and $UVW$ have perimeters $28$ and $42\textsf{.}$ Side $RS$ corresponds to side $UV\textsf{,}$ and $RS = 10\textsf{.}$ What is the length of $UV\textsf{?}$

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

Practice playeasy

$50$ is what percent of $100$ ?

$\frac{50}{100} = 0.5 = 50\%$ .

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

Find the simple interest on $\text{\char36}100$ at $10\%$ per year for $1$ year.

$I = 100 \times 0.1 \times 1 = \$10$ .

MAST Grade 7 Solve Problems with Ratio and Proportion. Practice it free.

Solve Problems with Ratio and Proportion skills

Represent proportional relationships with equations and solve multi-step problems.

Use proportional relationships to solve ratio, percent, and scale drawing problems.

Standards: 7.RP.3, 7.G.1

Topics mapped to this domain

Percent problems

Percent proportion word problems

Simple interest

Table problems with percents and ratios (ACT)

Effect of scale factor on similar figures

8 free questions · 0/0 correct

Turn solve problems with ratio and proportion into game time.

More Grade 7 domains