percentages problem solving grade 6

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6th Grade Percent Word Problems

Welcome to our 6th Grade Percent Word Problems page. In this area, we have a selection of percentage problem worksheets for 6th graders designed to help children learn to solve a range of percentage problems.

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Here you will find a selection of worksheets on percentages designed to help your child practise how to apply their knowledge to solve a range of percentage problems..

The sheets are graded so that the easier ones are at the top.

The sheets have been split up into sections as follows:

• general percentage problems;
• solving percentage problems with bar graphs.

Each of the general problem solving sheets has also been split into 2 different worksheets:

• Sheet A which is set at an easier level;
• Sheet B which is set at a harder level;

Some of our worksheets have UK versions, which use £ instead of $.

6th Grade Percentages Problems Worksheets - General Problems

There are 6 problems on each sheet. Sheet A is an easier version and Sheet B is a harder version.

Answer sheets include example working out to solve the problems.

• 6th Grade Percent Word Problems Sheet 6.1A
• PDF version
• 6th Grade Percent Word Problems Sheet 6.1B
• 6th Grade Percent Word Problems Sheet 6.2A
• UK version Worksheet
• UK version Answers
• UK Version PDF
• 6th Grade Percent Word Problems Sheet 6.2B
• UK Version Worksheet
• UK Version Answers
• 6th Grade Percent Word Problems Sheet 6.3A
• 6th Grade Percent Word Problems Sheet 6.3B

6th Grade Bar Graph Percentage Word Problems

These sheets involve using bar graph data to solve different percentage problems.

There is only one version of each sheet, and both sheets are at a similar level of difficulty.

• 6th Grade Bar Graph Percentage Word Problems 6.1
• 6th Grade Bar Graph Percentage Word Problems 6.2

Bar Graph Percentage Word Problems Walkthrough Video

This short video walkthrough shows the problems from our 6th Grade Bar Graph Percentage Word Problems Worksheet 6.2 being solved and has been produced by the West Explains Best math channel.

If you would like some support in solving the problems on these sheets, please check out the video below!

More Recommended Math Worksheets

Take a look at some more of our worksheets similar to these.

5th Grade Percentage Word Problems

These word problems are at a slightly easier level than those on this page.

All the problems involve finding the percentage of a range of numbers and amounts.

• Percentage Word Problems 5th Grade

Percentage of Money Amounts

Often when we are studying percentages, we look at them in the context of money.

The sheets on this page are all about finding percentages of different amounts of money.

• Money Percentage Worksheets

Percentage of Number Worksheets

If you would like some practice finding the percentage of a range of numbers, then try our Percentage Worksheets page.

You will find a range of worksheets starting with finding simple percentages such as 1%, 10% and 50% to finding much trickier ones.

• Percentage of Numbers Worksheets
• Percentage Increase and Decrease Worksheets

We have created a range of worksheets based around percentage increases and decreases.

Our worksheets include:

• finding percentage change between two numbers;
• finding a given percentage increase from an amount;
• finding a given percentage decrease from an amount.

Converting Percentages to Fractions

To convert a fraction to a percentage follows on simply from converting a fraction to a decimal.

Simply divide the numerator by the denominator to give you the decimal form. Then multiply the result by 100 to change the decimal into a percentage.

The printable learning fraction page below contains more support, examples and practice converting fractions to decimals.

• Converting Fractions to Percentages

• Convert Percent to Fraction

Online Percentage Practice Zone

Our online percentage practice zone gives you a chance to practice finding percentages of a range of numbers.

You can choose your level of difficulty and test yourself with immediate feedback!

• Online Percentage Practice
• Ratio Part to Part Worksheets

These sheets are a great way to introduce ratio of one object to another using visual aids.

The sheets in this section are at a more basic level than those on this page.

How to Print or Save these sheets

Need help with printing or saving? Follow these 3 steps to get your worksheets printed perfectly!

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6th Grade Math Word Problems (Percentages)

Related Pages Word Problems Solved The Singapore Math Way 2-Step Word Problems And Bar Models Singapore Mental Math Strategies Singapore Math More Numbers Lessons

In this lesson, we will learn how to solve percent word problems

• using block diagrams or bar models or tape diagrams,
• using the grid method,
• using proportions.

Using Bar Models

Example: 15% of the number of people who attended a concert arrived late. If 30 people arrived late, find the number of people who attended the concert.

From the above model, we see that 15% → 30 people 1% → 30 ÷ 15 = 2 people 100% → 100 × 2 = 200 people 200 people attended the concert.

Examples of solving percent problems with bar models

Marilyn saves 30% of the money she earns each month. She earns $350 each month. How much does she save?

At the Natural History Museum, 40% of the visitors are children. There are 36 children at the museum. How many visitors altogether are at the museum?

Bill bought cards to celebrate Pi day. He sends 60% of his cards to friends. He sent 42 cards to friends. How many cards did he buy altogether?

Bruce cookies 80% of the pancakes at the pancake breakfast last weekend. They made 1120 pancakes. How many pancakes did Bruce cook?

The following video shows examples of finding total price with sales tax and an example of finding cost after discount using bar models.

Alejandro bought a television set for $900 and paid a sales tax of 8%. How much did he pay for the television set?

Alice saved for a new bike. The bike was on sale for a discount of 35%. The original cost of the bike was $270. How much did she pay for the bike?

Using Grid Method

Setting up the Percent Problem Describes how to set up a percent problem using the grid method. Uses examples with the total given and looking for the parts.

Example: There are 250 chairs in a room a) If 150 chairs are full, what % are full? b) What % are empty?

Multiple Step Percent Problems Part 1 Examples of how to solve percent word problems with the grid method.

Example 1: A stereo listed for $350 is on sale for 20% off the list price. The sales tax is 6%. What price does a customer pay for the stereo if she buys it on sale?

Example 2: Stacey just received her annual cost-of-living raise. She previously earned $1450 a month. Her new salary is $1508. What is the rate of increase?

Example 3: At a playoff game, paid attendance was 39,900. The total attendance was 42,000. What percent of those attending had free tickets?

Solving Percentage Word Problems Using Proportions

Practice solving percentage word problems by setting up a proportion and solving.

Example: A poll was conducted by a local newspaper asking if the governor was doing a good job. 6,000 people were polled. If 2,400 said they approved of the job the governor was doing, what percent of the people polled disapproved?

Percent Word Problems: Percentage Problems Shows how to solve “percent of” word problems using proportions.

• What is 15% of 40?
• 12 is 20% of what number?
• 22 is what percent of 5?
• 4 is what percent of the quotient of 15 and 3?

Percent Word Problems: Sales and Discount Solving percent word problems that involve finding a sale price given original price and discount, finding an original price given sale price and discount, and finding sale price given profit.

Example 1: A laptop that normally costs $600 is offered at a discount of 35%. What is the new sale price?

Example 2: A pair of shoes is marked down 20% during a sale and costs $60. What was the original price?

Percent Word Problems: Profit Solving percent word problems that involve finding the percentage profit.

Example 1: The total cost of producing a tablet is $150. If the manufacturer wants to make a 20% profit, at what price must they sell the tablet?

Example 2: Kevin bought a concert ticket for $50 and sold it for $54. What was the percentage profit?

Percent Word Problems: Percent Increase and Decrease Solving percent word problems that involve percent increase and decrease.

Example 1: 15 fans attended a band’s first concert. 18 fans attended their second concert. What was the percent increase in the number of fans from the first concert to second?

Example 2: Last year, a football team won 15 games. This year, the team won 20% fewer games. How many games did the team win this year?

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Percents Worksheets

Math worksheets: percents.

These worksheets provide practice in common calculations involving percents , including changing decimals to and from percents, finding percentages of numbers and fining how many percent a number is of another number.

Sample Grade 6 Percents Worksheet

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Unit 3: Rates and percentages

About this unit, intro to rates.

• Intro to rates (Opens a modal)
• Solving unit rate problem (Opens a modal)
• Solving unit price problem (Opens a modal)
• Rate problems (Opens a modal)
• Comparing rates example (Opens a modal)
• Rate review (Opens a modal)
• Unit rates Get 5 of 7 questions to level up!
• Rate problems Get 3 of 4 questions to level up!
• Comparing rates Get 3 of 4 questions to level up!

Intro to percents

• The meaning of percent (Opens a modal)
• Meaning of 109% (Opens a modal)
• Percents from fraction models (Opens a modal)
• Intro to percents Get 5 of 7 questions to level up!
• Percents from fraction models Get 3 of 4 questions to level up!

Visualize percents

• Finding percentages with a double number line (Opens a modal)
• Finding the whole with a tape diagram (Opens a modal)
• Find percents visually Get 5 of 7 questions to level up!

Equivalent representations of percent problems

• Fraction, decimal, and percent from visual model (Opens a modal)
• Converting percents to decimals & fractions example (Opens a modal)
• Percent of a whole number (Opens a modal)
• Ways to rewrite a percentage (Opens a modal)
• Converting between percents, fractions, & decimals (Opens a modal)
• Finding common percentages (Opens a modal)
• Converting percents and fractions review (Opens a modal)
• Converting decimals and percents review (Opens a modal)
• Equivalent representations of percent problems Get 3 of 4 questions to level up!
• Benchmark percents Get 5 of 7 questions to level up!

Percent problems

• Finding a percent (Opens a modal)
• Finding percents Get 5 of 7 questions to level up!

Percent word problems

• Percent word problem: recycling cans (Opens a modal)
• Rates and percentages FAQ (Opens a modal)
• Percent word problems Get 5 of 7 questions to level up!

Word Problems on Percentage

Word problems on percentage will help us to solve various types of problems related to percentage. Follow the procedure to solve similar type of percent problems.

Word problems on percentage:

1.  In an exam Ashley secured 332 marks. If she secured 83 % makes, find the maximum marks.

Let the maximum marks be m.

Ashley’s marks = 83% of m

Ashley secured 332 marks

Therefore, 83% of m = 332

⇒ 83/100 × m = 332

⇒ m = (332 × 100)/83

⇒ m =33200/83

Therefore, Ashley got 332 marks out of 400 marks.

2. An alloy contains 26 % of copper. What quantity of alloy is required to get 260 g of copper?

Let the quantity of alloy required = m g

Then 26 % of m =260 g

⇒ 26/100 × m = 260 g

⇒ m = (260 × 100)/26 g

⇒ m = 26000/26 g

⇒ m = 1000 g

3. There are 50 students in a class. If 14% are absent on a particular day, find the number of students present in the class.

Solution:             

Number of students absent on a particular day = 14 % of 50

                                          i.e., 14/100 × 50 = 7

Therefore, the number of students present = 50 - 7 = 43 students.

4. In a basket of apples, 12% of them are rotten and 66 are in good condition. Find the total number of apples in the basket.

Solution:             

Let the total number of apples in the basket be m

12 % of the apples are rotten, and apples in good condition are 66

Therefore, according to the question,

88% of m = 66

⟹ 88/100 × m = 66

⟹ m = (66 × 100)/88

⟹ m = 3 × 25

Therefore, total number of apples in the basket is 75.

5. In an examination, 300 students appeared. Out of these students; 28 % got first division, 54 % got second division and the remaining just passed. Assuming that no student failed; find the number of students who just passed.

The number of students with first division = 28 % of 300

                                                             = 28/100 × 300

                                                             = 8400/100

                                                             = 84

And, the number of students with second division = 54 % of 300

                                                                        = 54/100 × 300

                                                                        =16200/100

                                                                        = 162

Therefore, the number of students who just passed = 300 – (84 + 162)

                                                                           = 54

Questions and Answers on Word Problems on Percentage:

1. In a class 60% of the students are girls. If the total number of students is 30, what is the number of boys?

2. Emma scores 72 marks out of 80 in her English exam. Convert her marks into percent.

Answer: 90%

3. Mason was able to sell 35% of his vegetables before noon. If Mason had 200 kg of vegetables in the morning, how many grams of vegetables was he able to see by noon?

Answer: 70 kg

4. Alexander was able to cover 25% of 150 km journey in the morning. What percent of journey is still left to be covered?

Answer:  112.5 km

5. A cow gives 24 l milk each day. If the milkman sells 75% of the milk, how many liters of milk is left with him?

Answer: 6 l

6.  While shopping Grace spent 90% of the money she had. If she had $ 4500 on shopping, what was the amount of money she spent?

Answer:  $ 4050

Fraction into Percentage

Percentage into Fraction

Percentage into Ratio

Ratio into Percentage

Percentage into Decimal

Decimal into Percentage

Percentage of the given Quantity

How much Percentage One Quantity is of Another?

Percentage of a Number

Increase Percentage

Decrease Percentage

Basic Problems on Percentage

Solved Examples on Percentage

Problems on Percentage

Real Life Problems on Percentage

Application of Percentage

8th Grade Math Practice From Word Problems on Percentage to HOME PAGE

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