DC CAPE 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
compute unit rates associated with ratios of fractions
use ratio and rate reasoning to solve real-world and mathematical problems

Standards basis

Common Core State Standards (CCSS-M) — District of Columbia

How the DC CAPE reports it

DC CAPE math continues DC’s PARCC-era alignment to the Common Core State Standards and uses the same general development/review approach described by OSSE. The page says DC Math follows the same rigorous development and review process and measures the knowledge and skills that matter most for DC students, while also explicitly tying the assessments to CCSS.

Blueprint & weighting

DC CAPE uses the PARCC-derived / Common Core-based framework (by grade domains structure).

Official sources

OSSE DC CAPE
OSSE DC CAPE page content on CCSS and test specifications

Practice by skill

Topics mapped to this domain

Try it now

8 free questions · 0/0 correct

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

A fabric dye bath uses dye concentrate and water in a ratio of $4$ to $32$ . How many cups of dye concentrate should be added to $2$ gallons of water to make the bath in this ratio? ( $4$ cups $=$ $1$ quart, $4$ quarts $=$ $1$ gallon.)

Two gallons of water is $32$ cups. With a $4$ to $32$ ratio, $\dfrac{4}{32} = \dfrac{x}{32}$ , so $x = 4$ cups of dye concentrate.

Practice playeasy

Write $0.2$ as a fraction in lowest terms.

$0.2 = \dfrac{1}{5}$ .

Practice playeasy

A parking lot has $320$ spaces. During lunch, cars fill $40\%$ of the spaces. How many spaces are filled during lunch?

Convert $40\%$ to a decimal and multiply: $0.40 \times 320 = 128$ spaces.

Practice playeasy

A trail is $6$ kilometers long. How many centimeters is that? ( $1$ kilometer $= 1{,}000$ meters and $1$ meter $= 100$ centimeters)

Convert kilometers to meters, then meters to centimeters: $6 \text{ km} \times \dfrac{1{,}000 \text{ m}}{1 \text{ km}} \times \dfrac{100 \text{ cm}}{1 \text{ m}} = 600{,}000 \text{ cm}$ .