MCAP Grade 6 Ratios and Proportional Relationships Practice

What the test measures

Ratios and Proportional Relationships skills

6.RP.A Understand ratio concepts and use ratio reasoning to solve 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)

Practice by skill

Topics mapped to this domain

Try it now

8 free questions · 0/0 correct

Practice playeasy

A documentary film lasts $3$ hours. How many minutes long is the film? ( $1$ hour $= 60$ minutes)

Use a conversion factor with minutes in the numerator so hours cancel: $3 \text{ hr} \times \dfrac{60 \text{ min}}{1 \text{ hr}} = 180 \text{ min}$ .

Practice playeasy

Write $0.875$ as a fraction in lowest terms.

$0.875 = \dfrac{7}{8}$ .

Practice playeasy

A park has $900$ newly planted trees. Gardeners water $10\%$ of the trees each morning. How many trees are watered each morning?

Convert $10\%$ to a decimal and multiply: $0.10 \times 900 = 90$ trees.

Practice playeasy

A science fair project runs for $3$ weeks. How many hours is that? ( $1$ week $= 7$ days and $1$ day $= 24$ hours)

Convert weeks to days, then days to hours: $3 \text{ wk} \times \dfrac{7 \text{ d}}{1 \text{ wk}} \times \dfrac{24 \text{ hr}}{1 \text{ d}} = 504 \text{ hr}$ .

Practice playeasy

A package of nuts weighs $112$ ounces. What is the weight in pounds? ( $1$ pound $= 16$ ounces)

Use a conversion factor with pounds in the numerator so ounces cancel: $112 \text{ oz} \times \dfrac{1 \text{ lb}}{16 \text{ oz}} = 7 \text{ lb}$ .

Practice playeasy

Write $0.04$ as a percent.

Multiply by 100: $0.04 \times 100 = 4\%$ .

Practice playeasy

A warehouse stores $160$ boxes of supplies. Workers ship $35\%$ of the boxes before noon. How many boxes are shipped before noon?

Convert $35\%$ to a decimal and multiply: $0.35 \times 160 = 56$ boxes.

Practice playeasy

A scrap shipment weighs $2$ tons. How many ounces is that? ( $1$ ton $= 2{,}000$ pounds and $1$ pound $= 16$ ounces)

Convert tons to pounds, then pounds to ounces: $2 \text{ tons} \times \dfrac{2{,}000 \text{ lb}}{1 \text{ ton}} \times \dfrac{16 \text{ oz}}{1 \text{ lb}} = 64{,}000 \text{ oz}$ .