ISASP Grades 6-8 Ratios and Proportional Relationships Practice

What the test measures

Ratios and Proportional Relationships skills

Understand ratio concepts and use ratio reasoning to solve problems
Analyze proportional relationships and use them to solve real-world and mathematical problems

Standards basis

Iowa Academic Standards / Iowa Core Mathematics — Iowa

How the ISASP reports it

ISASP is Iowa’s statewide assessment program administered by the state Department of Education and aligned to Iowa Academic Standards / Iowa Core rather than a multi-state blueprint like SBAC or ACT. The public materials accessible here establish the tested grades and that mathematics results are reported statewide, but I could not locate an official public math blueprint PDF on the Iowa DOE site in the available sources.

Blueprint & weighting

ISASP uses the Independent / state-specific framework (by grade domains structure).

Official sources

Iowa Department of Education — Required Student Assessments
Iowa Department of Education — About the Iowa Department of Education
Iowa Academic Standards for Mathematics (April 2024) — full standards PDF, confirms K-8 domains/clusters and HS conceptual-category clusters are CCSS-M verbatim

Practice by skill

Topics mapped to this domain

Try it now

8 free questions · 0/0 correct

Practice playmedium

A patient receives $2{,}500$ milliliters of IV fluid. How many liters is that? ( $1$ liter $= 1{,}000$ milliliters)

Use a conversion factor with liters in the numerator so milliliters cancel: $2{,}500 \text{ mL} \times \dfrac{1 \text{ L}}{1{,}000 \text{ mL}} = 2.5 \text{ L}$ .

Practice playmedium

A bubble solution uses soap concentrate and water in a ratio of $5$ to $40$ . How many cups of soap concentrate should be added to $6$ gallons of water to make the solution in this ratio? ( $4$ cups $=$ $1$ quart, $4$ quarts $=$ $1$ gallon.)

Six gallons of water is $6 \times 16 = 96$ cups. With a $5$ to $40$ ratio, $\dfrac{5}{40} = \dfrac{x}{96}$ , so $40x = 480$ and $x = 12$ cups of concentrate.

Practice playeasy

Write $5\%$ as a decimal.

Divide by 100: $5\% = 0.05$ .

Practice playeasy

A novel has $1{,}200$ pages. Maya has read $15\%$ of the pages. How many pages has Maya read?

Convert $15\%$ to a decimal and multiply: $0.15 \times 1{,}200 = 180$ pages.

Practice playeasy

A $\text{\char36}60$ shirt is on sale for $15\%$ off. What is the sale price?

Discount: $0.15 \times \text{\char36}60 = \text{\char36}9.0$ . Sale: $\text{\char36}60 - \text{\char36}9.0 = \text{\char36}51.0$ .

Practice playeasy

A customer buys a desk for $\text{\char36}250$ and pays $7\%$ sales tax on the purchase. How much is the sales tax, in dollars?

Tax $= 0.07 \times 250 = 17.50$ dollars.

Practice playmedium

Five identical printing presses can complete a job in $12$ hours. Working at the same rate, how many hours would it take $8$ of these presses to complete the same job?