FAST Grade 7 Fractional Reasoning Practice

What the test measures

Fractional Reasoning skills

7.FR.1.1, 7.FR.1.2, 7.FR.1.3, 7.FR.2.1, 7.FR.2.2, 7.FR.2.3

Standards basis

Florida B.E.S.T. Standards — Florida

How the FAST reports it

Florida’s FAST Mathematics is a state-specific assessment program aligned to the Florida B.E.S.T. Standards rather than a national framework. The published blueprint organizes results by reporting categories derived from B.E.S.T. domains, with separate blueprints for grades 3-8 FAST Mathematics and the B.E.S.T. Algebra 1 and Geometry EOCs.

Blueprint & weighting

Florida publishes blueprint percentage ranges by reporting category. The 2025-26 fact sheet states each PM event is tied to a blueprint for the full grade-level content, and the test design summary gives approximate item ranges per reporting category; the reporting-category statements note that a minimum of 15% of raw score points should come from each reporting category, with some domains combined when needed.

Official sources

Florida Department of Education FAST Assessments page
Florida Department of Education B.E.S.T. Mathematics Reporting Category Statements
Florida Department of Education B.E.S.T. Mathematics Test Design Summary

Practice by skill

Topics mapped to this domain

Try it now

8 free questions · 0/0 correct

Practice playeasy

What is a $15\%$ tip on a $\text{\char36}200$ bill?

Tip: $\frac{15}{100} \times \text{\char36}200 = \text{\char36}30$ .

Practice playmedium

$27$ is $45\%$ of a number. What is the number?

Let $n$ be the number. Then $0.45n = 27$ , so $n = 27 \div 0.45 = 60$ .

Practice playeasy

A cyclist rode $63$ kilometers in $1.5$ hours at a constant speed. What was the cyclist's speed, in kilometers per hour?

Speed = $\dfrac{63}{1.5} = 42$ kilometers per hour.

Practice playeasy

Solve for $y$ : $\dfrac{6}{4} = \dfrac{y}{24}$ .

Cross-multiply: $4y = 144$ , so $y = 36$ .

Practice playeasy

Find the simple interest on $\text{\char36}200$ at $5\%$ per year for $2$ years.

$I = 200 \times 0.05 \times 2 = \$20$ .

Practice playeasy

The table shows quiz grades for a class of students. What percent of the students earned an A?
$\begin{array}{l|c} \text{Grade} & \text{Number of students} \\ \hline \text{A} & 12 \\ \text{B} & 18 \\ \text{C} & 10 \\ \text{D} & 10 \end{array}$

Total students: $12+18+10+10=50\textsf{.}$ Percent with an A: $\dfrac{12}{50}=0.24=24\%\textsf{.}$

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.)