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Free Practice Questions for FAST Math Grade 5

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Key Facts: FAST Math Grade 5 Exam

FAST Grade 5 Mathematics is administered three times a year as PM1, PM2 and PM3 progress-monitoring windows.

The Grade 5 FAST Math scale runs from 240 to 375, with Level 3 (about 309 and up) marking on-grade-level performance.

Each Grade 5 FAST Math administration contains roughly 35 to 40 scored items across four reporting categories.

A calculator is not permitted on FAST Mathematics for grades 3 through 5.

Grade 5 B.E.S.T. math covers decimals to the thousandths place using standard algorithms.

The Grade 5 volume benchmark uses the formula V = length x width x height for right rectangular prisms.

Grade 5 coordinate-plane work is limited to the first quadrant with whole-number ordered pairs.

FAST is aligned to Florida's B.E.S.T. Standards and is delivered as a computer-adaptive test by Cambium Assessment.

FAST Grade 5 Mathematics is Florida's three-times-a-year computer-adaptive test on the B.E.S.T. standards, covering whole-number and decimal operations, fractions, volume, the coordinate plane, order of operations, and measurement conversions; Level 3 is on grade level.

Sample FAST Math Grade 5 Practice Questions

Try these sample questions to review concepts for the FAST Math Grade 5 exam. Each question includes a detailed explanation. Start the interactive quiz above for the full 100+ question experience with AI tutoring.

1In the number 4,235.671, which digit is in the hundredths place?
A.7
B.6
C.1
D.2
Explanation: After the decimal point, the places are tenths, hundredths, then thousandths. The 7 is the second digit after the decimal point, so it is in the hundredths place.
2What is the value of the digit 8 in the number 3.085?
A.8 tenths
B.8 hundredths
C.8 thousandths
D.8 ones
Explanation: The digit 8 is the second digit after the decimal point, which is the hundredths place. So its value is 8 hundredths, or 0.08.
3How does the value of the 6 change when you move it from the tens place to the hundreds place, as in going from 60 to 600?
A.It becomes 10 times as small
B.It stays the same
C.It becomes 10 times as large
D.It becomes 100 times as large
Explanation: Each place to the left is 10 times the place to its right. Moving the 6 one place left from tens (60) to hundreds (600) makes its value 10 times as large.
4What is 4.7 multiplied by 10?
A.0.47
B.470
C.4.70
D.47
Explanation: Multiplying by 10 moves the decimal point one place to the right. So 4.7 multiplied by 10 becomes 47.
5What is 35.2 divided by 100?
A.3.52
B.0.352
C.352
D.0.0352
Explanation: Dividing by 100 moves the decimal point two places to the left. Starting at 35.2, moving the decimal two places left gives 0.352.
6Which expression is equal to 10 to the third power (10 cubed)?
A.10 x 3
B.10 + 10 + 10
C.10 x 10 x 10
D.3 x 3 x 3
Explanation: An exponent tells how many times to multiply the base by itself. So 10 to the third power means 10 x 10 x 10, which equals 1,000.
7What is 246 multiplied by 30?
A.738
B.73,800
C.7,038
D.7,380
Explanation: First multiply 246 by 3 to get 738, then multiply by 10 to account for the 30, giving 7,380.
8What is 152 multiplied by 24?
A.3,648
B.3,348
C.608
D.3,628
Explanation: Multiply 152 by 4 to get 608, and 152 by 20 to get 3,040. Adding 608 and 3,040 gives 3,648.
9A theater has 38 rows with 26 seats in each row. How many seats are in the theater?
A.64
B.1,008
C.988
D.898
Explanation: Multiply the number of rows by seats per row: 38 x 26. That equals 988 seats, found by adding 38 x 20 = 760 and 38 x 6 = 228.
10What is 405 multiplied by 60?
A.2,430
B.24,030
C.240,300
D.24,300
Explanation: Multiply 405 by 6 to get 2,430, then multiply by 10 for the 60, giving 24,300.

About the FAST Math Grade 5 Exam

The Florida Assessment of Student Thinking (FAST) Grade 5 Mathematics test is a statewide, computer-adaptive progress-monitoring assessment aligned to Florida's B.E.S.T. (Benchmarks for Excellent Student Thinking) Mathematics standards. Fifth graders take it three times a year, PM1 in the fall, PM2 in the winter, and PM3 in the spring, so teachers can track growth toward grade-level proficiency. Each administration contains roughly 35 to 40 scored items distributed across four reporting categories: Number Sense and Operations with Whole Numbers; Number Sense and Operations with Fractions and Decimals; Algebraic Reasoning; and Geometric Reasoning, Measurement, and Data Analysis and Probability. The grade-5 content focuses on decimal operations to the thousandths, multiplying and dividing fractions, the volume of right rectangular prisms, the first-quadrant coordinate plane, order of operations, and converting measurement units. Results are reported on a 240 to 375 scale in five achievement levels, with Level 3 indicating on-grade-level performance, and a calculator is not permitted at this grade.

Exam sponsor: Florida Department of Education (delivered by Cambium Assessment). The requirements and fees below concern the certification or admission exam, separate from our free practice resources.

Assessment

Variable-length assessment

Time Limit

Up to 80 minutes (PM1 and PM2) or up to 100 minutes (PM3); students still working may continue up to the end of the school day.

Passing Score

B.E.S.T. scale 158-285; Level 3 (222-233) is On Grade Level for Grade 5 Mathematics.

Exam / Certification Fees

Free; there is no cost to students or families.

Exam sponsor website

Fees, eligibility, and exam policies can change. Confirm them with the exam sponsor before applying or paying.

Our practice resources: topics covered

We aim to reflect publicly available exam outlines and topic information in our study resources. Coverage, format, and difficulty may differ from the actual exam, and we cannot guarantee that every detail is accurate or current. Confirm exam requirements, fees, and policies with the official exam sponsor.

23-29%

Number Sense and Operations with Whole Numbers

Decimal place value to the thousandths, multiplying and dividing by powers of 10, and multiplying and dividing multi-digit whole numbers with standard algorithms.

23-29%

Number Sense and Operations with Fractions and Decimals

Adding, subtracting, multiplying and dividing decimals and fractions, mixed numbers, and money word problems using decimal notation.

23-29%

Algebraic Reasoning

Order of operations, writing and interpreting numerical expressions, true/false equations, numerical patterns, factors, multiples, and prime and composite numbers.

23-29%

Geometric Reasoning, Measurement, and Data Analysis and Probability

Classifying figures, volume of right rectangular prisms, plotting first-quadrant coordinate points, converting measurement units, and finding mean, median, mode and range.

Preparing for the FAST Math Grade 5 Exam

What You Need to Know

  • Passing score: B.E.S.T. scale 158-285; Level 3 (222-233) is On Grade Level for Grade 5 Mathematics.
  • Assessment: Variable-length assessment
  • Time limit: Up to 80 minutes (PM1 and PM2) or up to 100 minutes (PM3); students still working may continue up to the end of the school day.
  • Exam / certification fees: Free; there is no cost to students or families. Official sources

Using Our Practice Resources

  • Work through all 100 available questions
  • Review every answer and explanation
  • Track weak areas and revisit them
  • Use our AI tutor for tough concepts

FAST Math Grade 5: Suggested Study Strategy

1Practice decimal addition, subtraction, multiplication and division to the thousandths by hand, since no calculator is allowed.
2Master adding and subtracting fractions with unlike denominators by finding common denominators before combining.
3Memorize the order of operations (parentheses, then multiplication and division left to right, then addition and subtraction) for multi-step expressions.
4Learn the volume formula V = l x w x h and practice finding a missing edge length when the volume is given.
5Use the Grade 5 reference sheet conversions (12 inches = 1 foot, 4 quarts = 1 gallon, 1000 g = 1 kg) so unit-conversion problems are quick.
6Practice plotting and reading ordered pairs in the first quadrant, remembering that the x-coordinate comes before the y-coordinate.

Frequently Asked Questions

What is the FAST Grade 5 Mathematics test?

It is Florida's statewide, computer-adaptive progress-monitoring assessment for fifth-grade mathematics, aligned to the B.E.S.T. standards and given three times a year (PM1, PM2, PM3) to measure growth toward grade-level proficiency.

What math topics are on the Grade 5 FAST test?

It covers four reporting categories: whole-number operations and decimal place value; fraction and decimal operations; algebraic reasoning including order of operations; and geometric reasoning, measurement, and data analysis including volume and the coordinate plane.

How is the Grade 5 FAST Math test scored?

Scores are reported on a scale of 240 to 375 in five achievement levels. Level 3, roughly 309 and above, is considered proficient and on grade level for fifth grade.

Can students use a calculator on Grade 5 FAST Mathematics?

No. A calculator is not permitted on the FAST Mathematics assessment for grades 3 through 5, so fifth graders must compute by hand using the strategies and standard algorithms they learned.

How many questions are on the Grade 5 FAST Math test?

Each administration has about 35 to 40 scored items, plus a small number of embedded field-test items that do not count toward the score, all drawn across the four reporting categories.

Is there a reference sheet for Grade 5 FAST Math?

Yes. Students receive a Grade 5 Mathematics reference sheet with customary and metric conversions, time conversions, and formulas for the perimeter and area of a rectangle and the volume of a rectangular prism.