FAST Geometry EOC Geometric Reasoning and Measurement Practice

Geometric Reasoning and Measurement skills

MA.912.G.1.1, MA.912.G.1.2, MA.912.G.1.3, MA.912.G.1.4

MA.912.G.2.1, MA.912.G.2.2, MA.912.G.2.3, MA.912.G.2.4

MA.912.M.1.1, MA.912.M.2.1

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 similar triangles have perimeters in the ratio $3 : 5$ . The shortest side of the smaller triangle is $6$ . What is the length of the shortest side of the larger triangle if corresponding sides are compared?

Similar figures have a constant scale factor between corresponding lengths. Perimeter ratio $3 : 5$ means each side of the larger triangle is $\dfrac{5}{3}$ times the matching side of the smaller. The larger shortest side is $6 \cdot \dfrac{5}{3} = 10$ .

Practice playmedium

A bush that is $2$ feet tall casts a shadow $5$ feet long. At the same time, a cell tower casts a shadow $90$ feet long. How tall is the cell tower, in feet?

Use $\dfrac{2}{5} = \dfrac{h}{90}$ . Cross-multiply: $5h = 180$ , so $h = 36$ feet.

Practice playeasy

Find the volume of a cone with radius $3$ and height $5$ . Use $\pi = 3$ .

$V = \dfrac{1}{3}\pi r^2 h = \dfrac{1}{3} \times 3 \times 9 \times 5 = 45$ .

Practice playmedium

In $\triangle GHI$ , $m\angle G=(2x+5)°$ , $m\angle H=(3x+5)°$ , and $m\angle I=(x+50)°$ . What is the measure of the largest angle of the triangle?

The angles sum to $180°$ : $(2x+5)+(3x+5)+(x+50)=180$ , so $6x+60=180$ and $x=20$ . The angles are $45°$ , $65°$ , and $70°$ , so the largest is $70°$ .

Practice playmedium

The graph of the equation $(x + 8)^2 + (y - 6)^2 = 169$ is a circle in the coordinate plane. The point $(a, b)$ lies on the circle. Which of the following is a possible value for $b\textsf{?}$

The center is $(-8, 6)$ and the radius is $13\textsf{.}$ A point on the circle must satisfy $6 - 13 \le b \le 6 + 13\textsf{,}$ so $-7 \le b \le 19\textsf{.}$ The value $11$ is in this interval.

Practice playmedium

A cylindrical rain barrel has an inside radius of $3$ feet. After a storm, the water level rises $4$ inches. What is the volume of the added water, in cubic feet?

Convert $4$ inches to $\dfrac{1}{3}$ foot. $V = \pi r^{2} h = \pi (3)^{2}\left(\dfrac{1}{3}\right) = 3\pi$ cubic feet.

Practice playeasy

In a $30°$ - $60°$ - $90°$ triangle, the hypotenuse is $14$ . What is the short leg?

The short leg is half the hypotenuse: $\dfrac{14}{2} = 7$ .

Practice playeasy

In a right triangle, $\sin\alpha = \dfrac{4}{5}$ and $\tan\alpha = \dfrac{4}{3}$ . What is $\cos\alpha$ ?

$\cos\alpha = \dfrac{\sin\alpha}{\tan\alpha} = \dfrac{\dfrac{4}{5}}{\dfrac{4}{3}} = \dfrac{4}{5} \cdot \dfrac{3}{4} = \dfrac{3}{5}$ .

FAST Geometry EOC Geometric Reasoning and Measurement. Practice it free.

Geometric Reasoning and Measurement skills

MA.912.G.1.1, MA.912.G.1.2, MA.912.G.1.3, MA.912.G.1.4

MA.912.G.2.1, MA.912.G.2.2, MA.912.G.2.3, MA.912.G.2.4

MA.912.M.1.1, MA.912.M.2.1

Topics mapped to this domain

Geometric reasoning

Similar triangle shadows (ACT/SAT/PSAT 8/9/10)

Surface area and volume

Algebra and polygon angle measures (ACT)

Possible coordinates on a circle (SAT)

Volume word problems (ACT)

Law of sines and cosines

Right triangle trig from two ratios

Special right triangles

8 free questions · 0/0 correct

Turn geometric reasoning and measurement into game time.

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