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

Analyzes proportional relationships and uses them to solve multistep ratio and percent problems. This Grade 7 reporting domain maps to 8 practice skills and 8 representative questions from the playable bank.

Grade 78 mapped skills
What the test measures

Ratios and Proportional Relationships skills

  1. Compute unit rates associated with ratios of fractions and ratios of lengths, areas, and other quantities

  2. Recognize and represent proportional relationships between quantities

  3. Use proportional relationships to solve multistep ratio and percent problems

  4. Solve problems involving scale drawings

  5. Analyze percent increase and decrease

Standards basis

Minnesota Academic Standards in Mathematics (2007; assessed by MCA-III in grades 3-8 and 11 through 2026-27. 2022 standards phase in with MCA-IV beginning 2027-28) — Minnesota

How the MCA reports it

Minnesota’s MCA math is a state assessment tied to Minnesota Academic Standards in Mathematics rather than a separate national framework. The official public resources available here point to Minnesota-specific standards implementation, and absent a test blueprint, the coverage map should be organized by the state’s grade-level math domains that closely parallel CCSS-M. Note: the current MCA-III assesses the 2007 Minnesota standards in grades 3-8 and 11; Minnesota administers a single comprehensive high-school (grade 11) math test, NOT Algebra I / Geometry / Algebra II end-of-course exams — the 'High School / MCA EOC' band below is the grade-11 HS administration. (MCA-IV on the 2022 standards begins 2027-28.)

Blueprint & weighting

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

Practice by skill

Topics mapped to this domain

Effect of scale factor on similar figures

Grade 710 questions

Percent problems

Grade 7213 questions

Percent proportion word problems

Grade 710 questions

Simple interest

Grade 730 questions

Table problems with percents and ratios (ACT)

Grade 710 questions

Fluid concentration ratios

Grade 710 questions

Ratio, rate, and proportion word problems

Grade 710 questions

Ratios, rates, and proportions

Grade 7125 questions
Try it now

8 free questions · 0/0 correct

Practice playeasy

Similar triangles GHIGHI and JKLJKL have perimeters 1616 and 48.48\textsf{.} Side GHGH corresponds to side JK,JK\textsf{,} and GH=5.GH = 5\textsf{.} What is the length of JK?JK\textsf{?}

The scale factor from △GHI\triangle GHI to △JKL\triangle JKL is 4816=3.\dfrac{48}{16} = 3\textsf{.} Corresponding sides scale by 3,3\textsf{,} so JK=5⋅3=15.JK = 5 \cdot 3 = 15\textsf{.}

Practice playeasy

What is 25%25\% of 7070?

Convert: 25%=0.2525\% = 0.25. Then 0.25×70=17.50.25 \times 70 = 17.5.

Practice playeasy

A student answered 5151 out of 6060 questions correctly on a quiz. What percent of the questions did the student answer correctly?

5160=0.85=85%\dfrac{51}{60} = 0.85 = 85\%.

Practice playeasy

Find the simple interest on $100\text{\char36}100 at 20%20\% per year for 11 year.

I=100×0.2×1=$20I = 100 \times 0.2 \times 1 = \$20.

Practice playmedium

A school sold tickets to two events. What is the ratio of gala revenue to fair revenue in simplest form?
EventTickets availablePrice eachPercent soldGala100$4080%Fair200$1560%\begin{array}{l|c|c|c} \text{Event} & \text{Tickets available} & \text{Price each} & \text{Percent sold} \\ \hline \text{Gala} & 100 & \text{\char36}40 & 80\% \\ \text{Fair} & 200 & \text{\char36}15 & 60\% \end{array}

Gala tickets sold: 100⋅0.80=80100 \cdot 0.80 = 80, so revenue is 80⋅40=3,200.80 \cdot 40 = 3{,}200\textsf{.} Fair tickets sold: 200⋅0.60=120200 \cdot 0.60 = 120, so revenue is 120⋅15=1,800.120 \cdot 15 = 1{,}800\textsf{.} The ratio 3,200:1,8003{,}200:1{,}800 simplifies by dividing by 200200 to 16:9.16:9\textsf{.}

Practice playmedium

Iced tea is made with tea concentrate and water in a ratio of 33 to 1212. How many cups of tea concentrate should be added to 33 quarts of water to make the tea in this ratio? (44 cups == 11 quart, 44 quarts == 11 gallon.)

Three quarts of water is 3×4=123 \times 4 = 12 cups. With a 33 to 1212 ratio, 312=x12\dfrac{3}{12} = \dfrac{x}{12}, so x=3x = 3 cups of tea concentrate.

Practice playeasy

At an animal shelter, the ratio of cats to dogs is 55 to 88. If there are 3535 cats at the shelter, how many dogs are there?

Scale the ratio: 3535 cats is 77 groups of 55, so dogs = 7×8=567 \times 8 = 56.

Practice playeasy

A car travels 225225 miles in 55 hours. What is the speed in miles per hour?

225÷5=45225 \div 5 = 45 miles per hour.

Keep practicing

Turn ratios and proportional relationships into game time.

The MCA 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.37.RP.A.2
Ratios and Proportional Relationships in other MCA grades
Grade 6
The same skills on other tests
i-ReadyAASAACAPForward
Source and test overview
All MCA prepOfficial test source
Reporting categories

More Grade 7 domains

The Number SystemApplies and extends operations with fractions and rational numbers, including integers.8 QsPractice →Expressions and EquationsUses properties of operations to generate equivalent expressions and solve equations and inequalities.8 QsPractice →GeometryUses angle relationships, scale drawings, and geometric constructions to solve problems.8 QsPractice →Statistics and ProbabilityInvestigates chance and data distributions, including random sampling and inference about populations.8 QsPractice →