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

Students represent proportional relationships with equations and solve multi-step problems using ratios, percents, and scale drawings. This Grade 7 reporting domain maps to 8 practice skills and 8 representative questions from the playable bank.

Grade 7Testlet 28 mapped skills
What the test measures

Solve Problems with Ratio and Proportion skills

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

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

  3. 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.

Practice by skill

Topics mapped to this domain

Percent discounts

Grade 746 questions

Percent problems

Grade 7213 questions

Percent proportion word problems

Grade 710 questions

Percent sales tax

Grade 727 questions

Percent tips

Grade 737 questions

Simple interest

Grade 730 questions

Table problems with percents and ratios (ACT)

Grade 710 questions

Effect of scale factor on similar figures

Grade 710 questions
Try it now

8 free questions · 0/0 correct

Practice playeasy

A $30\text{\char36}30 tent is on sale for 40%40\% off. What is the sale price?

Discount: 40100×$30=$12.\dfrac{40}{100} \times \text{\char36}30 = \text{\char36}12\textsf{.} Sale price: $30−$12=$18.\text{\char36}30 - \text{\char36}12 = \text{\char36}18\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 =13,800−12,000=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

Sales tax is 10%.10\%\textsf{.} What is the tax on a $60\text{\char36}60 chair?

Tax: 10100×$60=$6.\dfrac{10}{100} \times \text{\char36}60 = \text{\char36}6\textsf{.}

Practice playeasy

A food-delivery order is $80.\text{\char36}80\textsf{.} With a 15%15\% tip added, what is the total?

Tip: 15100×$80=$12.\dfrac{15}{100} \times \text{\char36}80 = \text{\char36}12\textsf{.} Total: $80+$12=$92.\text{\char36}80 + \text{\char36}12 = \text{\char36}92\textsf{.}

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+0.05⋅40=42.40+0.05\cdot 40=42\textsf{.} Headphones: 60+0.08⋅60=64.80.60+0.08\cdot 60=64.80\textsf{.} Cable: 20+0.10⋅20=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

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=10⋅32=15.UV = 10 \cdot \dfrac{3}{2} = 15\textsf{.}

Keep practicing

Turn solve problems with ratio and proportion into game time.

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

Batting Cage game coverBatting CagePlay →Blaster Gate game coverBlaster GatePlay →Blitz Tanks game coverBlitz TanksPlay →Buzzer Beater game coverBuzzer BeaterPlay →
Related Common Core standards
7.RP.A.3
Source and test overview
All MAST prepOfficial test source
Reporting categories

More Grade 7 domains

Ratios and Proportional RelationshipsStudents compute and identify unit rates, determine proportionality, and interpret points in context.8 QsPractice →Add and Subtract Rational NumbersStudents add and subtract rational numbers and interpret the results.8 QsPractice →Solving EquationsStudents solve equations of the forms px+q=r and p(x+q)=r and related word problems.8 QsPractice →Solving InequalitiesStudents solve linear inequalities from word problems and interpret the solution set in context.8 QsPractice →Angle Relationships and TrianglesStudents construct figures with given conditions and find unknown angle measures using angle relationships and equations.8 QsPractice →Solve Problems with Geometric FiguresStudents apply formulas for geometric measurement and solve problems involving two- and three-dimensional figures.8 QsPractice →