Grade 6 Free Worksheets: Mastering Math Concepts

What is Percentages? How to solve percent word problems.

Math in grade 6 is a crucial turning point for students’ academic careers. Students spend the year exploring mathematics more deeply and laying a solid basis for future math study. Free worksheets are essential for assisting kids in excelling in their arithmetic studies. We will examine several subjects covered in Grade 6 arithmetic in this extensive blog article and offer free worksheets for each of them. These worksheets will reinforce key mathematical topics for both students and teachers, serving as helpful resources.


Topics Included in Grade 6 Math

Examples of Percent word problems

The math curriculum for grade 6 is varied and covers a variety of subjects. Here is a closer look at each of these subjects, each of which is followed by a free worksheet to put what was learned into practice.

1. Decimal Basics

Percent word problems
  • Understanding decimals and place value
  • Adding and subtracting decimals
  • Multiplying and dividing decimals

Free Worksheet: Decimal Basics Worksheet

Finding Percentages

Calculating percentages is a fundamental skill. You can find percentages in various ways, but the most common methods include:

Conversion Between Decimal and Fraction

  • Converting decimals to fractions
  • Converting fractions to decimals

Free Worksheet: Decimal to Fraction Conversion Worksheet Free Worksheet: Fraction to Decimal Conversion Worksheet

Place Value & Scientific Notation

  • Mastering place value with large numbers
  • Introduction to scientific notation

Free Worksheet: Place Value & Scientific Notation Worksheet

Addition & Subtraction

  • Adding and subtracting integers
  • Adding and subtracting fractions and decimals

Free Worksheet: Addition & Subtraction Worksheet

Multiplication & Division

  • Multiplying multi-digit numbers
  • Dividing multi-digit numbers

Free Worksheet: Multiplication & Division Worksheet

Fractions - Add/Subtract and Fractions - Multiply/Divide

  • Adding and subtracting fractions with like and unlike denominators
  • Multiplying and dividing fractions

Free Worksheet: Fractions Multiplication & Division Worksheet

Fractions - Simplify

  • Simplifying fractions to their lowest terms

Example 3: Converting Percentage to Fraction

Convert 75% to a fraction:

75 % $$= \frac{75}{100}$$

2. Simplify the Fraction

Simplify the fraction by dividing both the numerator and the denominator by their greatest common factor.

Example 4: Simplifying the Fraction

Simplify 75/100:

$$\frac{75}{100} = \frac{75 ÷ 25}{100 ÷ 25} = \frac{3}{4}$$

So, 75% is equivalent to 3/4 as a fraction.

Converting Percentage to Decimal

Converting percentages to decimals is even simpler. Here’s how you can do it:

Divide by 100

To convert a percentage to a decimal, divide the percentage value by 100.

Example 5: Converting Percentage to Decimal

Convert 40% to a decimal:

$$40$$% $$ = \frac{40}{100} = 0.4$$

So, 40% as a decimal is 0.4.

Word Problems Involving Percentages

Applying your understanding of percentages through word problems is a terrific idea. Let’s examine a few prevalent categories of percentage-based word puzzles:

1. Finding Discounts

Problem: While shopping, you notice that a $60 blouse is currently 25% off. What much of cash will you save?


Solution: To find the discount amount, calculate 25% of $60:

$$Discount Amount = 0.25 \times $60 = $15$$

2. Calculating Tax

The $50 bill you receive after eating at a restaurant includes an 8% sales tax. How much tax are you going to pay?

Solution: Calculate $$8%$$ of $$50$$:

$$Tax Amount = 0.08 × $50 = $4$$

3. Test Scores

On an exam, you received a score of 36 out of 45. What percentage of your test results do you have?

  • Use the % calculation to calculate your test score as a percentage:
  • $$Percentage Score = \frac{36}{45} \times 100 = 80%$$

Practical Application of Percentages

In many situations in the actual world, percentages are used. Examples of typical applications include:

1. Finance

Interest Rates: Understanding interest rates on loans or investments.

Stock Market: Analyzing stock price changes.

2. Business

Profit Margins: figuring out a product’s profit margins.

3. Education

Examining grades received in school.

Test results: Measuring success on prescribed exams.

4. Health

Body Mass Index (BMI): Calculating BMI to assess health.

Medication Dosages: Measuring medication dosages.

Frequently Asked Questions (FAQs)

Q1 What does the word “percent” mean?

A1: The word “percent” comes from the Latin “per centum,” which translates to “by the hundred.” It is a means to quantify a percentage of a larger whole in terms of 100.

Q2: How do I figure out an increase or reduction in percentage?

A2: Use the following formula to determine an increase or reduction in percentage:

(New Value – Old Value) / (Old Value) 100 = Percentage Change$$

A3: Is it possible for percentages to exceed 100%?

A3: Yes, percentages can go above 100%. It indicates that the value is more than the product of the components in instances of growth or profit.

Q4: What distinguishes a percentage from a percent?

A4: The terms “percentage” and “percent” are often used interchangeably. Although “percent” is indicated by the symbol (%),

Q5: How do I find the original value when I know the percentage increase and the new value?

A5: To find the original value, use the formula:

$$Original Value = \frac{New Value}{(1 + (Percentage Increase / 100)}$$

Grade 6 Math Problems with Percentages

Let’s tackle a few math problems suitable for sixth-graders involving percentages:

Problem 1

You buy a bicycle for $200 during a sale where the price is reduced by 15%. How much money did you save?

Solution: Calculate the discount amount using the percentage formula:

Discount Amount = (15/100) × $200 = $30

So, you saved $30.

Problem 2

In a class of 40 students, 60% are girls. How many girls are there in the class?

Solution: Use the percentage formula:

Number of Girls = (60/100) × 40 = 24

There are 24 girls in the class.

Problem 3

You scored 80% on a math test, which had a total of 50 questions. How many questions did you answer correctly?

Solution: Calculate the number of correct answers:

Number of Correct Answers = (80/100) × 50 = 40

You answered 40 questions correctly.

Percentages Worksheet

Do you want to give your students to practice on different worksheet. Let’s try these worksheet for percentages.

What Is Percentage?: A Grade 6 Worksheet Guide – LearnAboutMath

Unlocking The World Of Percentages: A Grade 6 Worksheet Guide – LearnAboutMath


A fundamental mathematical idea with innumerable practical applications is the concept of percentages. Knowing percentages is a crucial ability, whether you’re purchasing, analyzing data, or making financial judgments. The fundamentals, conversion to fractions and decimals, typical word problems, real-world applications, and commonly asked topics have all been covered. With this information, you may comfortably navigate the percentages world and use them in a variety of contexts in your life. Continue working on those percentage problems because, as they say, practice makes perfect!

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