FAST Geometry EOC Number Sense and Operations Practice

Number Sense and Operations skills

MA.912.NSO.1.1, MA.912.NSO.1.2

MA.912.GR.1.1, MA.912.GR.1.2

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

8 free questions · 0/0 correct

Practice playeasy

Two parallel lines are cut by a transversal. A pair of corresponding angles measure $(3x+16)°$ and $(2x+34)°$ . What is the measure of each of these angles?

Corresponding angles are congruent: $3x+16=2x+34$ , so $x=18$ . Each angle measures $3(18)+16=70°$ .

Practice playeasy

Which expression is equivalent to $\sqrt{108}+\sqrt{147}$ ?

$\sqrt{108}=\sqrt{36 \cdot 3}=6\sqrt{3}$ and $\sqrt{147}=\sqrt{49 \cdot 3}=7\sqrt{3}$ . Adding like radical terms gives $6\sqrt{3}+7\sqrt{3}=13\sqrt{3}$ .

Practice playhard

If $\Large a$ and $\Large b$ are positive, which expression is equivalent to $\Large \sqrt[4]{a^5 b^6}$ ?

Divide each exponent by $\Large 4$ : $\Large a^{\tfrac{5}{4}} b^{\tfrac{6}{4}} = a^{\tfrac{5}{4}} b^{\tfrac{3}{2}}$ .

Practice playmedium

The tension, in newtons, in a certain cable can be estimated by multiplying the length of the cable, in meters, by $28$ and then taking the square root of the product. According to this method, what is the estimated tension, in newtons, in a cable that is $45$ meters long?

The product is $45 \cdot 28 = 1260$ . Factor $1260 = 36 \cdot 35$ , where $36$ is the largest perfect-square factor. So $\sqrt{1260} = \sqrt{36 \cdot 35} = 6\sqrt{35}$ , and $35 = 5 \cdot 7$ is square-free.

Practice playeasy

Which expression is equivalent to $\sqrt{750}$ ?

$750 = 25 \cdot 30$ , so $\sqrt{750} = \sqrt{25 \cdot 30} = 5\sqrt{30}$ , and $30 = 2 \cdot 3 \cdot 5$ is square-free.

Practice playeasy

Two parallel lines are cut by a transversal. Same-side interior angles measure $(6x-5)°$ and $(4x+15)°$ . What is the value of $x$ ?

Same-side interior angles are supplementary: $(6x-5)+(4x+15)=180$ , so $10x+10=180$ and $x=17$ .

Practice playmedium

Which expression is equivalent to $\sqrt{27}+\sqrt{48}+\sqrt{75}$ ?

$\sqrt{27}=3\sqrt{3}$ , $\sqrt{48}=4\sqrt{3}$ , and $\sqrt{75}=5\sqrt{3}$ . Adding gives $3\sqrt{3}+4\sqrt{3}+5\sqrt{3}=12\sqrt{3}$ .

Practice playhard

If $\Large x$ and $\Large y$ are positive, which expression is equivalent to $\Large \sqrt[5]{x^8 y^{12}}$ ?

Divide each exponent by $\Large 5$ : $\Large x^{\tfrac{8}{5}} y^{\tfrac{12}{5}}$ .

FAST Geometry EOC Number Sense and Operations. Practice it free.

Number Sense and Operations skills

MA.912.NSO.1.1, MA.912.NSO.1.2

MA.912.GR.1.1, MA.912.GR.1.2

Topics mapped to this domain

Algebra and polygon angle measures (ACT)

Combining like square roots (ACT)

Radical to exponent conversions

Radical word problems (ACT)

Simplifying square roots (ACT)

8 free questions · 0/0 correct

Turn number sense and operations into game time.

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