MCAP Grade 7 Ratios and Proportional Relationships Practice

Ratios and Proportional Relationships skills

7.RP.A Analyze proportional relationships and use them to solve real-world and mathematical problems.

Standards basis

Maryland College and Career Ready Standards for Mathematics (MCCRSM) — Maryland

How the MCAP reports it

MCAP is Maryland's statewide successor to PARCC, built on the Maryland College and Career Ready Standards for Mathematics (which mirror CCSS-M) — it is not a Smarter Balanced administration despite the claims-style family resemblance. Each grade/course High Level Blueprint (September 2022) organizes the assessment into three subclaims: Content (23-24 one-point machine-scored items, listed per domain/conceptual category as MCCRSM cluster headings), Reasoning (6 items), and Modeling (6 items), the latter two defined by per-grade evidence statements and including constructed-response items. Cluster headings are transcribed verbatim from the blueprints, including their minor typographical deviations from the parallel CCSS-M headings; two evident misprints are normalized (a duplicated sentence fragment on 4.OA.C, and the domain codes printed as G.P.E / T.TF for G.GPE / F.TF). Since March 2025, grade 6-7 students enrolled in a high-school mathematics course may take the corresponding MCAP course assessment instead of the grade-level test.

Blueprint & weighting

Each High Level Blueprint (September 2022) publishes per-domain operational item counts. Content Subclaim (1-point machine-scored items): Grade 3 — OA 7, NBT 2, NF 7, Measurement 5, Geometry 2 (23 items); Grade 4 — OA 4, NBT 5, NF 10, Measurement 3, Geometry 1 (23); Grade 5 — OA 2, NBT 6, NF 9, Measurement 4, Geometry 2 (23); Grade 6 — RP 3, NS 8, EE 8, Geometry 2, SP 2 (23); Grade 7 — RP 8, NS 4, EE 5, Geometry 3, SP 3 (23); Grade 8 — NS 2, EE 10, Functions 5, Geometry 4, SP 2 (23); Algebra I — Number and Quantity 1, Algebra 12, Functions 9, Statistics 2 (24); Geometry — G.CO 7, G.SRT 8, G.C 3, G.GPE 3, G.GMD 1, G.MG 1 (23); Algebra II — Number and Quantity 3, Algebra 8, Functions 11, Statistics 1 (23). Every assessment adds 6 Reasoning Subclaim and 6 Modeling Subclaim operational items — four 1-point machine-scored each, plus two constructed-response items (two 3-point in grades 3-4; one 3-point and one 4-point in grades 5-8; two 4-point in Algebra I, Geometry, and Algebra II) — so a form carries 35 operational items (36 for Algebra I).

Official sources

MSDE — MCAP Mathematics (current program page: grades 3-8, Algebra I, Geometry, Algebra II)
MSDE — MCAP Overview / High Level Blueprints summary
MSDE — MCAP Grade 3 Mathematics High Level Blueprint (September 2022)

8 free questions · 0/0 correct

Practice playmedium

Iced tea is made with tea concentrate and water in a ratio of $3$ to $12$ . How many cups of tea concentrate should be added to $3$ quarts of water to make the tea in this ratio? ( $4$ cups $=$ $1$ quart, $4$ quarts $=$ $1$ gallon.)

Three quarts of water is $3 \times 4 = 12$ cups. With a $3$ to $12$ ratio, $\dfrac{3}{12} = \dfrac{x}{12}$ , so $x = 3$ cups of tea concentrate.

Practice playeasy

What is $25\%$ of $70$ ?

Convert: $25\% = 0.25$ . Then $0.25 \times 70 = 17.5$ .

Practice playeasy

A student answered $51$ out of $60$ questions correctly on a quiz. What percent of the questions did the student answer correctly?

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

Practice playeasy

At an animal shelter, the ratio of cats to dogs is $5$ to $8$ . If there are $35$ cats at the shelter, how many dogs are there?

Scale the ratio: $35$ cats is $7$ groups of $5$ , so dogs = $7 \times 8 = 56$ .

Practice playeasy

A car travels $225$ miles in $5$ hours. What is the speed in miles per hour?

$225 \div 5 = 45$ miles per hour.

Practice playeasy

Find the simple interest on $\text{\char36}100$ at $20\%$ per year for $1$ year.

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

Practice playmedium

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

Gala tickets sold: $100 \cdot 0.80 = 80$ , so revenue is $80 \cdot 40 = 3{,}200\textsf{.}$ Fair tickets sold: $200 \cdot 0.60 = 120$ , so revenue is $120 \cdot 15 = 1{,}800\textsf{.}$ The ratio $3{,}200:1{,}800$ simplifies by dividing by $200$ to $16:9\textsf{.}$

Practice playeasy

A sports drink is made with syrup and water in a ratio of $5$ to $20$ . How many cups of syrup should be added to $1$ gallon of water to make the drink in this ratio? ( $4$ cups $=$ $1$ quart, $4$ quarts $=$ $1$ gallon.)