NH SAS 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 associated with a ratio
Use ratio and rate reasoning to solve real-world and mathematical problems
Find a percent of a quantity as a rate per 100

Standards basis

Common Core State Standards for Mathematics (CCSS-M) / New Hampshire mathematics standards — New Hampshire

How the NH SAS reports it

New Hampshire SAS is the state assessment system, but the official math reporting structure was not accessible from the state page in this session. In practice, New Hampshire’s math assessments are aligned to the state’s K-12 mathematics standards, which closely mirror Common Core grade-level domains and clusters.

Blueprint & weighting

Not published in the accessible source set used here.

Official sources

New Hampshire Department of Education – Assessments
Common Core State Standards for Mathematics
CCSS-M Grade 3 (Oregon ODE reprint)

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: $9 \text{ mi} \times \dfrac{1{,}760 \text{ yd}}{1 \text{ mi}} \times \dfrac{3 \text{ ft}}{1 \text{ yd}} = 47{,}520 \text{ ft}$ .