NeSA Grade 6 Ratios and Proportional Relationships Practice

Ratios and Proportional Relationships skills

Understand ratio concepts and use ratio language to describe a ratio relationship between two quantities

Use ratio and rate reasoning 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

Find a percent of a quantity as a rate per 100

Standards basis

Nebraska College and Career Ready Standards for Mathematics (2019; Common Core–aligned domain structure) — Nebraska

How the NeSA reports it

Nebraska’s statewide math assessment is administered through NSCAS, but the official assessment page does not publish a test-specific math blueprint or reporting-category document on the page reviewed. In the absence of a public blueprint, the most defensible coverage map is the Nebraska College and Career Ready Standards for Mathematics, which are the state’s current standards basis and closely mirror Common Core-style grade-level domains.

Blueprint & weighting

No public test blueprint or per-domain item weighting was located on the Nebraska Department of Education assessment page reviewed. The page references NSCAS testing windows and general statewide assessment materials, but not math reporting-category percentages.

Official sources

Nebraska Department of Education – Statewide Assessment
Nebraska Department of Education – Press release noting current Nebraska College and Career Ready Standards approved in 2019

8 free questions · 0/0 correct

Practice playmedium

An herbicide spray uses concentrate and water in a ratio of $6$ to $24$ . How many cups of concentrate should be added to $2$ quarts of water to make the spray in this ratio? ( $4$ cups $=$ $1$ quart, $4$ quarts $=$ $1$ gallon.)

Two quarts of water is $2 \times 4 = 8$ cups. With a $6$ to $24$ ratio, $\dfrac{6}{24} = \dfrac{x}{8}$ , so $24x = 48$ and $x = 2$ cups of concentrate.

Practice playeasy

At a riding stable, a pony is measured at $15$ hands tall. How many inches tall is the pony? ( $1$ hand $= 4$ inches)

Use a conversion factor with inches in the numerator so hands cancel: $15 \text{ hands} \times \dfrac{4 \text{ in}}{1 \text{ hand}} = 60 \text{ in}$ .

Practice playeasy

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

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

Practice playeasy

A kitchen prepares $500$ jars of jam. Workers label $8\%$ of the jars before the first break. How many jars are labeled before the first break?

Convert $8\%$ to a decimal and multiply: $0.08 \times 500 = 40$ jars.

Practice playeasy

A recipe calls for $5$ cups of broth. How many tablespoons is that? ( $1$ cup $= 8$ fluid ounces and $1$ fluid ounce $= 2$ tablespoons)

Convert cups to fluid ounces, then fluid ounces to tablespoons: $5 \text{ cups} \times \dfrac{8 \text{ fl oz}}{1 \text{ cup}} \times \dfrac{2 \text{ tbsp}}{1 \text{ fl oz}} = 80 \text{ tbsp}$ .

Practice playmedium

A pool treatment uses chlorine concentrate and water in a ratio of $9$ to $72$ . How many cups of chlorine concentrate should be added to $5$ gallons of water to make the treatment in this ratio? ( $4$ cups $=$ $1$ quart, $4$ quarts $=$ $1$ gallon.)

Five gallons of water is $5 \times 16 = 80$ cups. With a $9$ to $72$ ratio, $\dfrac{9}{72} = \dfrac{x}{80}$ , so $72x = 720$ and $x = 10$ cups of concentrate.

Practice playmedium

A hiking sign lists the distance to a waterfall as $4{,}500$ meters. How many kilometers is that? ( $1$ kilometer $= 1{,}000$ meters)

Use a conversion factor with kilometers in the numerator so meters cancel: $4{,}500 \text{ m} \times \dfrac{1 \text{ km}}{1{,}000 \text{ m}} = 4.5 \text{ km}$ .

Practice playeasy

Write $\dfrac{4}{5}$ as a percent.

$\dfrac{4}{5} = 0.8 = 80\%$ .

NeSA Grade 6 Ratios and Proportional Relationships. Practice it free.

Ratios and Proportional Relationships skills

Understand ratio concepts and use ratio language to describe a ratio relationship between two quantities

Use ratio and rate reasoning 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

Find a percent of a quantity as a rate per 100

Topics mapped to this domain

Fluid concentration ratios

Custom unit conversions

Fraction-decimal-percent conversion

Percent of a quantity

Two-step unit conversions

8 free questions · 0/0 correct

Turn ratios and proportional relationships into game time.

More Grade 6 domains