NDSA Grade 7 Ratios and Proportional Relationships Practice

What the test measures

Ratios and Proportional Relationships skills

Analyze proportional relationships and use them to solve real-world and mathematical problems.
Compute unit rates associated with ratios of fractions, including ratios of lengths, areas, and other quantities measured in like or different units.
Recognize and represent proportional relationships between quantities.
Use proportional relationships to solve percent problems.

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 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.)

One gallon of water is $16$ cups. With a $5$ to $20$ ratio, $\dfrac{5}{20} = \dfrac{x}{16}$ , so $20x = 80$ and $x = 4$ cups of syrup.

Practice playeasy

$50$ is what percent of $100$ ?

$\frac{50}{100} = 0.5 = 50\%$ .

Practice playeasy

A restaurant bill is $\text{\char36}72$ . What is a $15\%$ tip, in dollars?

Tip $= 0.15 \times 72 = 10.80$ dollars.

Practice playeasy

A passenger train traveled $348$ miles in $4$ hours at a constant speed. What was the train's speed, in miles per hour?

Speed = distance $\div$ time: $\dfrac{348}{4} = 87$ miles per hour.

Practice playeasy

Given $a:b = 5:2$ and $a = 75$ , find $b$ .

$\dfrac{a}{b} = \dfrac{5}{2}$ . With $a = 75$ , $\dfrac{75}{b} = \dfrac{5}{2}$ , so $5b = 150$ and $b = 30$ .

Practice playeasy

Find the simple interest on $\text{\char36}400$ at $25\%$ per year for $1$ year.

$I = 400 \times 0.25 \times 1 = \$100$ .

Practice playmedium

The table shows two juice mixtures. For Mixture A, what decimal part of the total liquid is concentrate?
$\begin{array}{l|c|c} \text{Mixture} & \text{Concentrate (L)} & \text{Water (L)} \\ \hline \text{A} & 2 & 8 \\ \text{B} & 3 & 9 \end{array}$

Mixture A has $2+8=10$ liters total. Concentrate is $\dfrac{2}{10}=0.2$ of the mixture.

Practice playeasy

Windshield washer fluid is mixed with concentrate and water in a ratio of $7$ to $56$ . How many cups of concentrate should be added to $3$ gallons of water to make the fluid in this ratio? ( $4$ cups $=$ $1$ quart, $4$ quarts $=$ $1$ gallon.)

Three gallons of water is $3 \times 16 = 48$ cups. With a $7$ to $56$ ratio, $\dfrac{7}{56} = \dfrac{x}{48}$ , so $56x = 336$ and $x = 6$ cups of concentrate.