Grade 8 FAST math is the last standardized math assessment Florida students take before high school, and it is a significant one. The B.E.S.T. (Benchmarks for Excellent Student Thinking) standards for Grade 8 introduce formal function notation, extend linear equations to systems, introduce transformations and the Pythagorean theorem in context, and deepen statistical reasoning with scatter plots and bivariate data. This post covers the most important topics, gives you a 15-question practice set with worked solutions, and provides a 3-week prep plan for the FAST assessment.
ViewMath is not affiliated with or endorsed by the Florida Department of Education or the Florida Statewide Assessments program. Visit fldoe.org for current FAST information and assessment calendars.
Grade 8 FAST Math: Key B.E.S.T. Standards Topics
Number Sense and Operations
- Real numbers: Understand and classify real numbers (rational and irrational). Approximate irrational numbers (such as √2, √3, π) to decimal values and locate them on a number line.
- Integer exponents: Apply properties of integer exponents (including zero and negative exponents). Convert between standard notation and scientific notation; operate with numbers in scientific notation.
- Square and cube roots: Evaluate perfect square roots and perfect cube roots. Understand that √x and x² are inverse operations.
Algebraic Reasoning
- Linear relationships: Understand proportional vs. non-proportional linear relationships. Write an equation in slope-intercept form (y = mx + b) from a table, graph, or verbal description. Interpret slope and y-intercept in context.
- Systems of linear equations: Solve systems graphically and algebraically (substitution and elimination). Interpret the solution as the point of intersection — or determine that the system has no solution or infinitely many solutions.
- Functions: Understand that a function assigns exactly one output to each input. Determine whether a relationship is a function using a table, mapping diagram, or vertical line test. Compare properties of two functions presented in different forms (algebraic, graphical, tabular, verbal).
Geometric Reasoning
- Transformations: Identify and describe translations, reflections, rotations, and dilations in the coordinate plane. Understand the effect on coordinates. Identify congruent and similar figures using sequences of transformations.
- Pythagorean Theorem: Understand and apply the Pythagorean Theorem to find missing side lengths in right triangles. Apply the converse to determine whether a triangle is a right triangle. Use the theorem to find distances in the coordinate plane.
- Volume: Find the volume of cylinders, cones, and spheres. Apply these formulas to real-world problems. Know and use V = πr²h (cylinder), V = (1/3)πr²h (cone), and V = (4/3)πr³ (sphere).
Data Analysis and Probability
- Scatter plots: Construct scatter plots for bivariate data. Describe the association (positive/negative, linear/nonlinear, strong/weak). Draw a line of best fit and use it to make predictions.
- Two-way frequency tables: Read, construct, and interpret two-way tables showing frequencies and relative frequencies for two categorical variables. Find joint, marginal, and conditional relative frequencies.
15-Question FAST Grade 8 Math Practice Test
Number Sense
- Is √17 rational or irrational? Approximate it to the nearest tenth.
Answer: Irrational. √16 = 4, √25 = 5. √17 ≈ 4.1 - Simplify: (3²)³
Answer: 3⁶ = 729 - Write 0.000048 in scientific notation.
Answer: 4.8 × 10⁻⁵ - Evaluate: ∛125
Answer: 5 (because 5³ = 125)
Algebraic Reasoning
- Write the equation of the line with slope 3 and y-intercept −2.
Answer: y = 3x − 2 - A table shows: x = 0 → y = 1; x = 1 → y = 4; x = 2 → y = 7; x = 3 → y = 10. What is the equation?
Answer: Slope = 3, y-intercept = 1. y = 3x + 1 - Solve the system: y = x + 2 and y = −2x + 8
Answer: x + 2 = −2x + 8 → 3x = 6 → x = 2, y = 4. Solution: (2, 4) - Does the table of values {(1,3), (2,5), (1,7)} represent a function? Explain.
Answer: No — the input x = 1 maps to two different outputs (3 and 7). A function requires exactly one output per input. - Compare: f(x) = 2x + 3 and a line that passes through (0, 1) and (2, 7). Which has a greater slope?
Answer: f(x) has slope 2. The second line has slope (7−1)/(2−0) = 3. The second line has the greater slope.
Geometry
- A right triangle has legs 9 and 12. What is the hypotenuse?
Answer: c² = 81 + 144 = 225. c = 15 - A triangle with vertices at (0,0), (4,0), and (4,3) is reflected over the y-axis. What are the new coordinates?
Answer: (0,0), (−4,0), (−4,3) - A cylinder has radius 5 and height 10. What is its volume? (Use π ≈ 3.14)
Answer: V = 3.14 × 25 × 10 = 785 - A cone has radius 6 and height 9. What is its volume? (Use π ≈ 3.14)
Answer: V = (1/3) × 3.14 × 36 × 9 = (1/3) × 1017.36 ≈ 339.12
Data Analysis
- A scatter plot shows a positive linear association between hours studied and test scores. A student studied 5 hours and the line of best fit predicts a score of 78. The student actually scored 85. Is the student above or below the line of best fit?
Answer: Above the line — the actual score (85) is greater than the predicted score (78). - In a two-way table, 40 students play a sport: 25 boys and 15 girls. Of the 60 students who don’t play a sport, 20 are boys. What fraction of all students are boys who play a sport?
Answer: Total students = 100. Boys who play = 25. Fraction = 25/100 = 1/4.
Common Grade 8 FAST Math Mistakes
- Confusing slope formula: Slope = (y₂ − y₁)/(x₂ − x₁). Students sometimes invert this (x over y) or subtract in inconsistent directions. Always label (x₁, y₁) and (x₂, y₂) before substituting.
- Functions vs. not functions: The vertical line test works for graphs; the “one output per input” check works for tables. Students sometimes forget that (2, 5) and (2, 7) in a table immediately disqualify a function.
- Transformation coordinate rules: Reflection over the x-axis: (x, y) → (x, −y). Reflection over the y-axis: (x, y) → (−x, y). These two are commonly swapped. Write the rule first, then apply it to each vertex.
- Pythagorean Theorem — hypotenuse placement: The hypotenuse is always opposite the right angle. Students sometimes assign c to the wrong side. Identify the right angle first, then label the hypotenuse.
- Volume formula confusion (cylinder vs. cone): Cone volume includes (1/3). Cylinder does not. Mnemonics like “cones are pointy — they lose 2/3 of the cylinder” help.
3-Week FAST Grade 8 Math Prep Plan
Week 1: Number Sense and Algebraic Reasoning
Start with real numbers: classifying rational vs. irrational, approximating irrational values, and integer exponent rules. Then move to linear relationships: writing equations from tables, graphs, and descriptions; interpreting slope and y-intercept; and comparing functions in different representations. Practice 10 function identification problems using tables, graphs, and mappings.
Week 2: Systems of Equations and Geometry
Cover solving systems graphically and algebraically. Practice identifying no-solution and infinitely-many-solutions systems. Then work through geometry: transformations (coordinate rules for each type), the Pythagorean Theorem with all three sides, distance between two points on the coordinate plane, and volume formulas for cylinders, cones, and spheres.
Week 3: Data Analysis and Mixed Review
Practice scatter plots — describing associations, drawing lines of best fit, making predictions, and identifying residuals. Review two-way frequency tables. Finish with a 20-question mixed practice test covering all five strands. Review every missed problem and categorize each error before the spring FAST window.
Florida Grade 8 FAST Math Resources
ViewMath offers Grade 8 math practice books designed for Florida students preparing for the FAST assessment. Books cover all B.E.S.T. standards topics and include full practice tests with worked solutions. Browse the Grade 8 catalog in the sidebar.
ViewMath is an independent publisher. Our materials are not official FAST or Florida DOE products.
