MCA Grade 6 Ratios and Proportional Relationships Practice

What the test measures

Ratios and Proportional Relationships skills

Understand ratio concepts and use ratio language to describe a ratio relationship between two quantities
Understand unit rate and use rate reasoning
Use ratio and rate reasoning to solve real-world and mathematical problems
Divide fractions and solve ratio problems involving fractions

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).

Official sources

Minnesota Department of Education MCA page
Minnesota Academic Standards in Mathematics implementation reference
MCA-III Mathematics Test Specifications, Grades 3-8 and 11

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

What is $\dfrac{3}{7} \div \dfrac{3}{7}$ ?

Multiply by the reciprocal: $\dfrac{3}{7} \times \dfrac{7}{3} = \dfrac{21}{21} = \dfrac{1}{1}$ .

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: $3 \text{ wk} \times \dfrac{7 \text{ d}}{1 \text{ wk}} \times \dfrac{24 \text{ hr}}{1 \text{ d}} = 504 \text{ hr}$ .