100+ Free FAST Math Grade 6 Practice Questions

Pass your Florida Assessment of Student Thinking (FAST) Mathematics, Grade 6 exam on the first try — instant access, no signup required.

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Key Facts: FAST Math Grade 6 Exam

FAST Math Grade 6 is Florida's free, computer-adaptive progress-monitoring test aligned to the B.E.S.T. standards, given three times a year across three reporting categories with results in five achievement levels.

Sample FAST Math Grade 6 Practice Questions

Try these sample questions to test your FAST Math Grade 6 exam readiness. Each question includes a detailed explanation. Start the interactive quiz above for the full 100+ question experience with AI tutoring.

1Which symbol correctly compares the rational numbers to make a true statement: -3 ___ -7?

A.<

B.=

C.>

D.cannot be determined

Explanation: On a number line, numbers farther to the right are greater. Since -3 is to the right of -7, -3 is greater than -7, so -3 > -7. With negatives, the number closer to zero is larger.

2Which list shows the numbers ordered from least to greatest: 0.5, -2, 3/4, -1?

A.-1, -2, 0.5, 3/4

B.-2, -1, 0.5, 3/4

C.3/4, 0.5, -1, -2

D.-2, -1, 3/4, 0.5

Explanation: Negative numbers are less than positive numbers, and -2 is less than -1. Then 0.5 = 0.50 and 3/4 = 0.75, so 0.5 comes before 3/4. The correct order is -2, -1, 0.5, 3/4.

3What is the value of |-12|?

A.-12

B.0

C.24

D.12

Explanation: Absolute value is the distance a number is from zero on the number line, and distance is always non-negative. The number -12 is 12 units from zero, so |-12| = 12.

4A diver is at -30 feet and a hawk is at 18 feet relative to sea level. Which animal is farther from sea level?

A.The hawk, because 18 is positive

B.The diver, because |-30| = 30 is greater than |18| = 18

C.They are the same distance from sea level

D.The diver, because -30 is less than 18

Explanation: Distance from sea level is the absolute value of each position. |-30| = 30 and |18| = 18, and 30 > 18, so the diver is farther from sea level. Comparing absolute values tells us distance regardless of sign.

5What is the product of 3.4 and 2.5?

A.85

B.8.5

C.0.85

D.8.9

Explanation: Multiply 34 x 25 = 850, then place the decimal point. There are two decimal places total (one in each factor), so the answer is 8.50, which equals 8.5.

6What is 8.4 divided by 0.4?

A.2.1

B.210

C.21

D.0.21

Explanation: Multiply both numbers by 10 to make the divisor a whole number: 84 divided by 4 = 21. Dividing by a number less than 1 gives a quotient larger than the dividend, which makes sense here.

7What is the product of 2/3 and 3/5?

A.5/8

B.2/5

C.6/15

D.1/5

Explanation: Multiply numerators and denominators: (2 x 3)/(3 x 5) = 6/15. Simplify by dividing top and bottom by 3 to get 2/5.

8What is 3/4 divided by 2/3?

A.1/2

B.6/12

C.9/8

D.8/9

Explanation: To divide by a fraction, multiply by its reciprocal: 3/4 x 3/2 = 9/8. The reciprocal of 2/3 is 3/2.

9A recipe needs 2/3 cup of flour per batch. How many batches can be made with 4 cups of flour?

A.8/3

B.2 2/3

C.12

D.6

Explanation: Divide total flour by flour per batch: 4 divided by 2/3 = 4 x 3/2 = 12/2 = 6 batches. Dividing by a fraction less than 1 increases the count.

10Maria buys 3.5 pounds of apples at $1.20 per pound and 2 pounds of grapes at $2.50 per pound. What is the total cost?

A.$8.70

B.$7.70

C.$9.20

D.$4.20

Explanation: Apples cost 3.5 x 1.20 = $4.20 and grapes cost 2 x 2.50 = $5.00. Adding gives 4.20 + 5.00 = $9.20 total.

About the FAST Math Grade 6 Exam

The Florida Assessment of Student Thinking (FAST) Mathematics, Grade 6 is a state progress-monitoring assessment aligned to Florida's Benchmarks for Excellent Student Thinking (B.E.S.T.) Mathematics standards. It is administered three times each school year (PM1, PM2, and PM3), with PM1 and PM2 delivered as computer-adaptive tests and PM3 providing a summative, year-end score. Each administration contains roughly 36 to 40 items drawn from three reporting categories: Number Sense and Operations; Algebraic Reasoning; and Geometric Reasoning, Data Analysis, and Probability. Grade 6 content emphasizes ratios and unit rates, dividing fractions, negative numbers and the number line, algebraic expressions and one-variable equations, area, surface area, volume, and statistics. Results are reported on a scale with five achievement levels so families and teachers can track on-grade-level progress, and a four-function calculator is available for grade 6 items.

Questions

100 scored questions

Time Limit

Up to 100 minutes for PM1 and PM2 and up to 120 minutes for PM3; students may continue working beyond these windows as needed.

Passing Score

Five achievement levels (Level 1-5); Level 3 represents satisfactory on-grade-level performance, and PM3 gives the year-end summative score. There is no single pass/fail line.

Exam Fee

Free for enrolled Florida public-school students; the assessment is state-funded. (Florida Department of Education, Bureau of K-12 Student Assessment)

FAST Math Grade 6 Exam Content Outline

33-42%

Number Sense and Operations

Comparing and ordering rational numbers, absolute value, multiplying and dividing decimals and fractions, GCF and LCM, exponents, prime factorization, equivalent forms, and integer operations.

25-36%

Algebraic Reasoning

Ratios, unit rates, equivalent ratios, percent problems, writing and evaluating expressions, the distributive property, one-variable equations and inequalities, and dependent and independent variables.

25-36%

Geometric Reasoning, Data Analysis, and Probability

Coordinate plane plotting and distances, area of triangles and quadrilaterals, composite area, surface area and volume of prisms, statistical questions, measures of center and spread, box plots, and histograms.

How to Pass the FAST Math Grade 6 Exam

What You Need to Know

Passing score: Five achievement levels (Level 1-5); Level 3 represents satisfactory on-grade-level performance, and PM3 gives the year-end summative score. There is no single pass/fail line.
Exam length: 100 questions
Time limit: Up to 100 minutes for PM1 and PM2 and up to 120 minutes for PM3; students may continue working beyond these windows as needed.
Exam fee: Free for enrolled Florida public-school students; the assessment is state-funded.

Keys to Passing

Complete 500+ practice questions
Score 80%+ consistently before scheduling
Focus on highest-weighted sections
Use our AI tutor for tough concepts

FAST Math Grade 6 Study Tips from Top Performers

1Master fraction division and decimal operations, since Number Sense and Operations is the largest reporting category at about 33-42% of the test.

2Practice setting up ratios, unit rates, and percent problems, which appear throughout the Algebraic Reasoning category.

3Learn to write, evaluate, and simplify algebraic expressions and to solve one-variable equations and inequalities.

4Review the number line, absolute value, and integer operations, including adding, subtracting, multiplying, and dividing negatives.

5Memorize area formulas for triangles and quadrilaterals and practice surface area and volume of rectangular prisms using nets.

6Work with data sets to find mean, median, mode, range, interquartile range, and mean absolute deviation, and interpret box plots and histograms.

Frequently Asked Questions

What is the FAST Mathematics Grade 6 assessment?

FAST Mathematics Grade 6 is Florida's statewide progress-monitoring test aligned to the B.E.S.T. Mathematics standards. It is given three times a year (PM1, PM2, PM3) to measure sixth graders' progress toward grade-level expectations.

What topics are on the Grade 6 FAST Math test?

Items come from three reporting categories: Number Sense and Operations (about 33-42%), Algebraic Reasoning (about 25-36%), and Geometric Reasoning, Data Analysis, and Probability (about 25-36%), covering ratios, fractions, integers, expressions, equations, area, volume, and statistics.

Is the FAST Math Grade 6 test free?

Yes. The FAST Mathematics assessment is funded by the State of Florida and administered to enrolled public-school students at no cost to families.

How many questions are on the test and how long is it?

Each administration has about 36 to 40 items, including a few unscored field-test items. Students have up to 100 minutes for PM1 and PM2 and up to 120 minutes for PM3, and may continue working as needed.

How are FAST Math Grade 6 scores reported?

Scores are reported on a scale with five achievement levels, from Level 1 (well below grade level) to Level 5. Level 3 indicates satisfactory, on-grade-level performance, and PM3 provides the year-end summative score.

Can students use a calculator on the Grade 6 FAST Math test?

Yes. A four-function calculator is provided in the online testing platform for grade 6 FAST Mathematics items that allow calculator use.