TCAP Grade 6 Ratios and Proportional Relationships Practice

What the test measures

Ratios and Proportional Relationships skills

6.RP.A.1 Understand the concept of a ratio and use ratio language to describe a ratio relationship between two quantities
6.RP.A.2 Understand the concept of a unit rate a/b associated with a ratio a:b
6.RP.A.3 Use ratio and rate reasoning to solve real-world and mathematical problems
6.RP.A.3a Make tables of equivalent ratios
6.RP.A.3b Find missing values in ratio tables
6.RP.A.3c Find and use the unit rate
6.RP.A.3d Solve unit-rate problems including percent problems
6.RP.A.3e Use ratio reasoning to convert measurement units

Standards basis

Tennessee Academic Standards for Mathematics — Tennessee

How the TCAP reports it

TCAP math is Tennessee’s state assessment program and its blueprints are aligned to Tennessee Academic Standards, which closely mirror the Common Core content structure in grades 3-8 and the CCSS-style high school conceptual categories. The blueprint page lists the current 2025-26 assessment overviews, including Math Grade 2, Grades 3-5, Grades 6-8, and Math EOC. [Tennessee Department of Education](https://www.tn.gov/education/districts/lea-operations/assessment/tcap-blueprints.html)

Blueprint & weighting

Published TCAP math blueprints assign content emphasis by grade/course, but the exact percentage table was not recoverable from the accessible blueprint page in this session. The state blueprint landing page confirms the math overviews but did not expose the PDF links in the fetched page content. [Tennessee Department of Education](https://www.tn.gov/education/districts/lea-operations/assessment/tcap-blueprints.html)

Official sources

Tennessee Department of Education TCAP Blueprints
Tennessee Education Glossary (academic standards entry)

Practice by skill

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8 free questions · 0/0 correct

Practice playeasy

At a livestock auction, a calf is listed at $28$ stones. What is the calf's weight in pounds? ( $1$ stone $= 14$ pounds)

Use a conversion factor with pounds in the numerator so stones cancel: $28 \text{ stones} \times \dfrac{14 \text{ lb}}{1 \text{ stone}} = 392 \text{ lb}$ .

Practice playeasy

Write $0.04$ as a percent.

Multiply by 100: $0.04 \times 100 = 4\%$ .

Practice playeasy

A warehouse stores $160$ boxes of supplies. Workers ship $35\%$ of the boxes before noon. How many boxes are shipped before noon?

Convert $35\%$ to a decimal and multiply: $0.35 \times 160 = 56$ boxes.

Practice playeasy

A banner is $8$ yards long. How many inches is that? ( $1$ yard $= 3$ feet and $1$ foot $= 12$ inches)

Convert yards to feet, then feet to inches: $8 \text{ yd} \times \dfrac{3 \text{ ft}}{1 \text{ yd}} \times \dfrac{12 \text{ in}}{1 \text{ ft}} = 288 \text{ in}$ .

Practice playeasy

A documentary film lasts $3$ hours. How many minutes long is the film? ( $1$ hour $= 60$ minutes)

Use a conversion factor with minutes in the numerator so hours cancel: $3 \text{ hr} \times \dfrac{60 \text{ min}}{1 \text{ hr}} = 180 \text{ min}$ .

Practice playeasy

Write $0.2$ as a fraction in lowest terms.

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

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 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: $5 \text{ cups} \times \dfrac{8 \text{ fl oz}}{1 \text{ cup}} \times \dfrac{2 \text{ tbsp}}{1 \text{ fl oz}} = 80 \text{ tbsp}$ .