NDSA Grade 6 Ratios and Proportional Relationships Practice

What the test measures

Ratios and Proportional Relationships skills

Understand the concept of a ratio and use ratio language to describe a ratio relationship between two quantities.
Understand the concept of a unit rate a/b associated with a ratio a:b.
Use ratio and rate reasoning to solve real-world and mathematical problems.
Find a percent of a quantity as a rate per 100 and solve problems involving percent.

Standards basis

North Dakota State Content Standards for Mathematics — North Dakota

How the NDSA reports it

North Dakota administered its own state assessment program (the NDSA, a Cambium computer-adaptive test in grades 3-8 and 10; replaced by ND A+ beginning spring 2025). An official NDSA mathematics public-facing CAT blueprint (Cambium/NDDPI, Oct 2020) does exist and lists per-grade reporting categories with percentage ranges, but its full per-grade table could not be retrieved character-for-character from a citable primary source for transcription here (the Cambium content CDN blocks programmatic access). The NDSA reporting categories are the CCSS-M grade-level domains: the assessment was built on North Dakota's 2017 math standards, which are verbatim CCSS-M organized by grade-level domains. The coverage map below uses North Dakota's 2023-standards-style domain/standard codes (e.g. 3.AR.OA) but the skill content is CCSS-M.

Blueprint & weighting

An official NDSA mathematics CAT blueprint (Cambium/NDDPI public-facing CAT version, Oct 2020) publishes per-grade reporting-category percentage ranges (e.g. grade 3 Operations and Algebraic Thinking ~31-34%, Number and Operations in Base Ten ~22-24%; grade 6 groups Ratios & Proportional Relationships and The Number System ~28-34% and Expressions and Equations ~25-29%). The complete per-grade table could not be retrieved verbatim from a citable primary source (the Cambium content CDN returns HTTP 403 to programmatic fetches), so domain weights in the mapping are left null rather than transcribing partial/uncertain figures or splitting blueprint percentages across the grade-6+ domain groupings.

Official sources

North Dakota DPI – State Assessment page
North Dakota DPI – Home
North Dakota Department of Agriculture – Ag Mag teacher guide with ND math standards references

Practice by skill

Topics mapped to this domain

Try it now

8 free questions · 0/0 correct

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 $0.36$ as a percent.

Multiply by 100: $0.36 \times 100 = 36\%$ .

Practice playeasy

There are $250$ students in sixth grade. On Friday, $20\%$ of the students went on a field trip. How many students went on the field trip?

Convert $20\%$ to a decimal and multiply: $0.20 \times 250 = 50$ students.

Practice playeasy

A battery test lasts $7$ hours. How many seconds is that? ( $1$ hour $= 60$ minutes and $1$ minute $= 60$ seconds)

Convert hours to minutes, then minutes to seconds: $7 \text{ hr} \times \dfrac{60 \text{ min}}{1 \text{ hr}} \times \dfrac{60 \text{ s}}{1 \text{ min}} = 25{,}200 \text{ s}$ .

Practice playeasy

A cooler holds $3$ gallons of water. How many quarts is that? ( $1$ gallon $= 4$ quarts)

Use a conversion factor with quarts in the numerator so gallons cancel: $3 \text{ gal} \times \dfrac{4 \text{ qt}}{1 \text{ gal}} = 12 \text{ qt}$ .

Practice playeasy

Write $\dfrac{7}{20}$ as a decimal.

$\dfrac{7}{20} = 0.35$ .

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 bike path is $9$ miles long. How many feet is that? ( $1$ mile $= 1{,}760$ yards and $1$ yard $= 3$ feet)

Convert miles to yards, then yards to feet: $9 \text{ mi} \times \dfrac{1{,}760 \text{ yd}}{1 \text{ mi}} \times \dfrac{3 \text{ ft}}{1 \text{ yd}} = 47{,}520 \text{ ft}$ .