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Florida Grade 6 Math · Algebraic Reasoning

MA.6.AR.3.4: Percent Problems

What this Grade 6 benchmark means, worked examples, common mistakes, and a free printable worksheet.

Created by a Florida mom · Published by Tropical Learning LLC

Download Free Worksheet (PDF)See worked examples

What Is Benchmark MA.6.AR.3.4?

Students use ratio reasoning to solve percent problems: finding the percent, the part, or the whole. The idea is that part/whole = percent/100.

For example, if a 340-gram shake has 34 grams of protein, then 34340 = 10100, so the shake is 10% protein.

Official benchmarkApply ratio relationships to solve mathematical and real-world problems involving percentages using the relationship between two quantities.

On the FAST test: part of the Grade 6 reporting category Algebraic Reasoning, which is about 25–36% of the test.

Worked Examples

Worked Example 1

Finding the Part

What is 30% of 80?
  1. 130% = 30100
  2. 230100 × 80 = 24
Answer: 24

Worked Example 2

Finding the Percent and the Whole

18 is what percent of 24? And 15 is 25% of what number?
  1. 11824 = 0.75 = 75%
  2. 2If 15 is 25%, then 15 is one fourth of the whole: 15 × 4 = 60
Answer: 75%; 60

Common Mistakes to Watch For

Dividing the whole by the part

Wrong:18 is what percent of 24: 24 ÷ 18

Divide the part by the whole: 18 ÷ 24 = 0.75 = 75%.

Dividing by the percent number

Wrong:30% of 80 = 80 ÷ 30

Multiply by the percent as a fraction or decimal: 0.3 × 80 = 24.

Helpful Math Tip

Use 10% as a building block: 10% of 80 is 8, so 30% is 3 × 8 = 24. It works for tips and discounts too.

Related Grade 6 Skills

MA.6.NSO.3.5

Fractions, Decimals, and Percents

MA.6.AR.3.5

Ratio and Rate Problems

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Independent Educational Platform. FastChomp is published by Tropical Learning LLC and is not affiliated with, sponsored by, or endorsed by the Florida Department of Education. FAST and Star assessment names are referenced for informational purposes only. FastChomp practice questions are original educational materials, not official Florida FAST assessment questions.