FAST Grade 8 Geometric Reasoning, Measurement, and Data Analysis and Probability Practice

Geometric Reasoning, Measurement, and Data Analysis and Probability skills

8.GR.2.1, 8.GR.2.2, 8.GR.2.3, 8.GR.2.4

8.DP.1.1, 8.DP.1.2, 8.DP.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

For two independent events, the probability of an even roll then a head: $P(A)=\tfrac{3}{6}$ , $P(B)=\tfrac{1}{2}$ . Find $P(A \text{ and } B)$ as a simplified fraction.

Multiply: $P(A \text{ and } B) = \tfrac{3}{6} \times \tfrac{1}{2} = \tfrac{1}{4}$ .

Practice playmedium

In $\triangle LMN$ , $\angle L$ and $\angle N$ are congruent. Each of these angles measures $38.2^{\circ}$ . What is the measure of $\angle M$ ?

Together the congruent angles measure $2 \times 38.2^{\circ} = 76.4^{\circ}$ , so $\angle M = 180^{\circ} - 76.4^{\circ} = 103.6^{\circ}$ .

Practice playeasy

What is the sum of the interior angles of a heptagon?

A heptagon has $7$ sides: $(7-2) \times 180 = 900°$ .

Practice playeasy

A cafeteria offers $3$ mains and $4$ sides. How many outcomes are in the sample space of (main, side) meals?

A tree diagram starts with $3$ branches for the mains. Each of those splits into $4$ side branches, so the sample space has $3 \times 4 = 12\textsf{.}$

Practice playeasy

In $\triangle DEF\textsf{,}$ $m\angle D$ and $m\angle E$ together measure $127^{\circ}\textsf{.}$ What is $m\angle F\textsf{?}$

The sum of the interior angles of a triangle is $180^{\circ}\textsf{.}$ So $m\angle F = 180^{\circ} - 127^{\circ} = 53^{\circ}\textsf{.}$

Practice playmedium

A game spinner has $6$ equal sections numbered $1$ through $6$ . The spinner is spun twice. What is the probability that both spins land on a number greater than $4$ ?

$P(\text{greater than }4) = \dfrac{2}{6} = \dfrac{1}{3}$ on each spin. The spins are independent, so $P(\text{both}) = \dfrac{1}{3} \times \dfrac{1}{3} = \dfrac{1}{9}$ .

Practice playeasy

A trend line for the number of car washes a club holds $x$ and the club's funds $y$ in dollars is $y = 75x + 120$ . According to the line, how many dollars did the club have before holding any car washes?

At $x = 0$ , $y = 120$ dollars: the $y$ -intercept is the starting amount.

Practice playeasy

A meal has 3 mains and 4 sides. How many different (main, side) combinations are possible?

By the multiplication principle: $3 \times 4 = 12$ .

FAST Grade 8 Geometric Reasoning, Measurement, and Data Analysis and Probability. Practice it free.

Geometric Reasoning, Measurement, and Data Analysis and Probability skills

8.GR.2.1, 8.GR.2.2, 8.GR.2.3, 8.GR.2.4

8.DP.1.1, 8.DP.1.2, 8.DP.2.1

Topics mapped to this domain

Compound probability

Isosceles triangle angles

Polygon angle formulas

Sample spaces for compound events

Triangle angle sum

Two-event compound probability word problems

Scatterplots and trend lines

8 free questions · 0/0 correct

Turn geometric reasoning, measurement, and data analysis and probability into game time.

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