FAST Grade 8 Fractional Reasoning Practice

What the test measures

Fractional Reasoning skills

8.FR.1.1, 8.FR.1.2, 8.FR.1.3, 8.FR.2.1, 8.FR.2.2, 8.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

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8 free questions · 0/0 correct

Practice playmedium

On a map, $1.5$ inches represents an actual distance of $36$ miles. At this scale, what is the actual distance, in miles, represented by $4$ inches on the map?

Scale: $\dfrac{36}{1.5} = 24$ miles per inch. For $4$ inches: $24 \times 4 = 96$ miles.

Practice playeasy

Solve for $x$ : $\dfrac{4}{32} = \dfrac{6}{x}$ .

Cross-multiply: $4 x = 32 \cdot 6 = 192$ . So $x = 48$ .

Practice playmedium

$\dfrac{6.3 \times 10^{-4}}{2.1 \times 10^{-9}}=$

Divide coefficients and subtract exponents: $6.3 \div 2.1 = 3$ and $-4-(-9)=5$ . So the quotient is $3 \times 10^{5}\textsf{.}$

Practice playeasy

A passenger train traveled $348$ miles in $4$ hours at a constant speed. What was the train's speed, in miles per hour?

Speed = distance $\div$ time: $\dfrac{348}{4} = 87$ miles per hour.

Practice playeasy

$x$ and $y$ are in the ratio $8$ to $3$ . Given that $y = 45$ , what is $x$ ?

$\dfrac{x}{y} = \dfrac{8}{3}$ . With $y = 45$ , $\dfrac{x}{45} = \dfrac{8}{3}$ , so $3x = 360$ and $x = 120$ .

Practice playmedium

$(4 \times 10^{3})(5 \times 10^{4})$ equals

Multiply coefficients and add exponents: $4 \cdot 5 = 20$ and $3+4=7$ , giving $20 \times 10^{7}$ . Rewrite as $2 \times 10^{1} \times 10^{7}=2 \times 10^{8}\textsf{.}$