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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.

  • Basic 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 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.

Convert fractions to percentages Picture

  • Converting Fractions to Percentages

Convert Percent to Fraction Image

  • 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.

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Percentages Practice Questions

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Free teaching resources and video tutorials for every topic in the Key Stage 2 Maths curriculum

Year 6 Percentages

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Understanding Percentages — Problem Solving: Foundation (Year 6)

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Help children understand percentages using this foundation-level worksheet. Challenge children to identify how many part of the 100 square are shaded and undershaded, then convert this into percentages. Next, can they find 4 different ways to make 65% from other percentages?

The answers are provided for this worksheet.

This worksheet is available in different levels. Please see the drop-down menu to select another level.

  • Key Stage: Key Stage 2
  • Subject: Maths
  • Topic: Percentages
  • Topic Group: Fractions, Decimals and Percentages
  • Year(s): Year 6
  • Media Type: PDF
  • Resource Type: Worksheet
  • Last Updated: 23/11/2023
  • Resource Code: M2WFT14941
  • Curriculum Point(s): Recall and use equivalences between simple fractions, decimals and percentages, including in different contexts.

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Understanding Percentages — Problem Solving: Stretch (Year 6)

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Equivalent Values — Fractions, Decimals and Percentages: Foundation (Year 6)

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Equivalent Matches: Stretch (Year 6)

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Resources tagged with: NC Yr 6

There are 50 NRICH Mathematical resources connected to NC Yr 6 , you may find related items under NC .

problem solving percentages year 6

4 by 4 Mathdokus

Can you use the clues to complete these 4 by 4 Mathematical Sudokus?

problem solving percentages year 6

Different Deductions

There are lots of different methods to find out what the shapes are worth - how many can you find?

problem solving percentages year 6

Name That Triangle!

Can you sketch triangles that fit in the cells in this grid? Which ones are impossible? How do you know?

problem solving percentages year 6

Number Lines in Disguise

Some of the numbers have fallen off Becky's number line. Can you figure out what they were?

problem solving percentages year 6

Price Match

Can you find pairs of differently sized windows that cost the same?

problem solving percentages year 6

Finding 3D Stacks

Can you find a way of counting the spheres in these arrangements?

problem solving percentages year 6

Extending Fraction Bars

Can you compare these bars with each other and express their lengths as fractions of the black bar?

problem solving percentages year 6

More Fraction Bars

What fraction of the black bar are the other bars? Have a go at this challenging task!

problem solving percentages year 6

Always, Sometimes or Never? Shape

Are these statements always true, sometimes true or never true?

problem solving percentages year 6

Always, Sometimes or Never? Number

problem solving percentages year 6

Round the Three Dice

What happens when you round these three-digit numbers to the nearest 100?

problem solving percentages year 6

Round the Four Dice

This activity involves rounding four-digit numbers to the nearest thousand.

problem solving percentages year 6

Use the information on these cards to draw the shape that is being described.

problem solving percentages year 6

Dicey Perimeter, Dicey Area

In this game for two players, you throw two dice and find the product. How many shapes can you draw on the grid which have that area or perimeter?

problem solving percentages year 6

Domino Sets

How do you know if your set of dominoes is complete?

problem solving percentages year 6

Making Spirals

Can you make a spiral for yourself? Explore some different ways to create your own spiral pattern and explore differences between different spirals.

problem solving percentages year 6

Round a Hexagon

This problem shows that the external angles of an irregular hexagon add to a circle.

problem solving percentages year 6

Have a look at this data from the RSPB 2011 Birdwatch. What can you say about the data?

problem solving percentages year 6

So It's Times!

How will you decide which way of flipping over and/or turning the grid will give you the highest total?

problem solving percentages year 6

After training hard, these two children have improved their results. Can you work out the length or height of their first jumps?

problem solving percentages year 6

Button-up Some More

How many ways can you find to do up all four buttons on my coat? How about if I had five buttons? Six ...?

problem solving percentages year 6

Counting Cogs

Which pairs of cogs let the coloured tooth touch every tooth on the other cog? Which pairs do not let this happen? Why?

problem solving percentages year 6

Doughnut Percents

A task involving the equivalence between fractions, percentages and decimals which depends on members of the group noticing the needs of others and responding.

problem solving percentages year 6

Next Size Up

The challenge for you is to make a string of six (or more!) graded cubes.

problem solving percentages year 6

I've made some cubes and some cubes with holes in. This challenge invites you to explore the difference in the number of small cubes I've used. Can you see any patterns?

problem solving percentages year 6

What can you see? What do you notice? What questions can you ask?

problem solving percentages year 6

Treasure Hunt

Can you find a reliable strategy for choosing coordinates that will locate the treasure in the minimum number of guesses?

problem solving percentages year 6

First Connect Three

Add or subtract the two numbers on the spinners and try to complete a row of three. Are there some numbers that are good to aim for?

problem solving percentages year 6

This challenge is a game for two players. Choose two of the numbers to multiply or divide, then mark your answer on the number line. Can you get four in a row?

problem solving percentages year 6

Factor-multiple Chains

Can you see how these factor-multiple chains work? Find the chain which contains the smallest possible numbers. How about the largest possible numbers?

problem solving percentages year 6

Fraction Fascination

This problem challenges you to work out what fraction of the whole area of these pictures is taken up by various shapes.

problem solving percentages year 6

Triangles All Around

Can you find all the different triangles on these peg boards, and find their angles?

problem solving percentages year 6

Diagonal Sums

In this 100 square, look at the green square which contains the numbers 2, 3, 12 and 13. What is the sum of the numbers that are diagonally opposite each other? What do you notice?

problem solving percentages year 6

Ten Hidden Squares

These points all mark the vertices (corners) of ten hidden squares. Can you find the 10 hidden squares?

problem solving percentages year 6

Orange Drink

A 750 ml bottle of concentrated orange squash is enough to make fifteen 250 ml glasses of diluted orange drink. How much water is needed to make 10 litres of this drink?

problem solving percentages year 6

Each of the nets of nine solid shapes has been cut into two pieces. Can you see which pieces go together?

problem solving percentages year 6

Sponge Sections

You have been given three shapes made out of sponge: a sphere, a cylinder and a cone. Your challenge is to find out how to cut them to make different shapes for printing.

problem solving percentages year 6

Factor Lines

Arrange the four number cards on the grid, according to the rules, to make a diagonal, vertical or horizontal line.

problem solving percentages year 6

Would You Rather?

Would you rather: Have 10% of £5 or 75% of 80p? Be given 60% of 2 pizzas or 26% of 5 pizzas?

problem solving percentages year 6

Plenty of Pens

Amy's mum had given her £2.50 to spend. She bought four times as many pens as pencils and was given 40p change. How many of each did she buy?

problem solving percentages year 6

Mystery Matrix

Can you fill in this table square? The numbers 2 -12 were used to generate it with just one number used twice.

problem solving percentages year 6

The Moons of Vuvv

The planet of Vuvv has seven moons. Can you work out how long it is between each super-eclipse?

problem solving percentages year 6

Where Are They?

Use the isometric grid paper to find the different polygons.

Rectangle Tangle

The large rectangle is divided into a series of smaller quadrilaterals and triangles. Can you untangle what fractional part is represented by each of the shapes?

problem solving percentages year 6

Pumpkin Pie Problem

Peter wanted to make two pies for a party. His mother had a recipe for him to use. However, she always made 80 pies at a time. Did Peter have enough ingredients to make two pumpkin pies?

Quadrilaterals

How many DIFFERENT quadrilaterals can be made by joining the dots on the 8-point circle?

problem solving percentages year 6

Two and Two

How many solutions can you find to this sum? Each of the different letters stands for a different number.

problem solving percentages year 6

Making Cuboids

Let's say you can only use two different lengths - 2 units and 4 units. Using just these 2 lengths as the edges how many different cuboids can you make?

Round and Round the Circle

What happens if you join every second point on this circle? How about every third point? Try with different steps and see if you can predict what will happen.

problem solving percentages year 6

Doplication

We can arrange dots in a similar way to the 5 on a dice and they usually sit quite well into a rectangular shape. How many altogether in this 3 by 5? What happens for other sizes?

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Year 6 Percentages: Calculate Percentages of Amounts

Year 6 Percentages: Calculate Percentages of Amounts

Subject: Mathematics

Age range: 7-11

Resource type: Worksheet/Activity

Learning by Questions

Last updated

27 February 2024

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problem solving percentages year 6

Year 6 Percentages Calculate Percentages of Amounts

This Year 6 Percentages Question Set covers the national curriculum objective to calculate percentages of amounts and solve problems involving percentages.

Registering for an LbQ account will give you access to the questions included in this resource and many 1,000s more. These 5 questions are a small selection from a much bigger Question Set of the same topic; they can be used as a teaching starter, plenary or activity for pupils. It is designed to provide teachers a taste of what our content is all about.

LbQ Maths Question Sets are based around the principles of mastery and have been developed by teachers and subject matter experts. Each Question Set targets a curriculum objective, though some objectives need more than one set, and has been guided by the White Rose Maths curriculum breakdown.

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Percent - Grade 6 Maths Questions and Problems With Answers

Grade 6 maths multiple choice questions on percent with answers are presented. Also detailed solutions and full explanations are included.

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problem solving percentages year 6

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problem solving percentages year 6

  • Main content

IMAGES

  1. Year 6 Math Worksheets and Problems: Percentage

    problem solving percentages year 6

  2. percentage problem solving tes

    problem solving percentages year 6

  3. Percentage Word Problems

    problem solving percentages year 6

  4. Solving Percent Problems Worksheet

    problem solving percentages year 6

  5. Understanding Percentages

    problem solving percentages year 6

  6. Percentages Year 6 Worksheets KS2 Differentiated Quantities

    problem solving percentages year 6

VIDEO

  1. PERCENTAGES : YEAR 8 WEEK 5

  2. Урок 41. Проценты % (6 класс)

  3. How Do You Use Percentages in Problems?

  4. Year 6 Arithmetic Test Prep

  5. Problem Solving

  6. Response video

COMMENTS

  1. PDF Year 6 Percentage of an Amount 1 Reasoning and Problem Solving

    Reasoning and Problem Solving - Percentage of an Amount 1 - Year 6 Expected. 7a.Dylan wants to raise £485 for charity. He hopes to raise 50% of that total at an art exhibition. This is what people gave: Person Amount given. Ruby Dealer 25% of £335. Liv Decadent-Lee 1% of £4,540. Max Profits 10% of £1,196.

  2. 6th Grade Percent Word Problems

    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. Answers. PDF version.

  3. Percentages

    Year 6 KS2 Maths Percentages learning resources for adults, children, parents and teachers.

  4. PDF Year 6 Percentages

    Reasoning and Problem Solving - Percentages - Missing Values - Teaching Information. 1a. 20% 60. 20 is a third of sixty, so 20% of sixty must be 3. Divide 60 by 10 to find 10% and double that to find 20%. The answer is 12. 1b. 30% 400. 400 - 30 = 370 so 30% of 400 must be 370.

  5. Year 6 Percentage Question Challenge Cards

    Solving Year 6 percentage questions can be challenging, but there are lots of tricks you can use to help you. When dealing with a percentage of an amount, you can swap the numbers round in your percentage question and the answer will be the same: 10% of 40 = 4. 40% of 10 = 4. This works with any numbers!

  6. Percentages Practice Questions

    The Corbettmaths Practice Questions on finding a percentage of an amount.

  7. Year 6 Percentages

    1 Find a percentage of a number which is a multiple of 100. 2 Find a percentage by first dividing by 100. 3 Find a percentage of a number by changing the percentage to a simplified unit fraction. 4 Find a percentage of a number by first finding 1, 5, 10 or 50 percent.

  8. Fractions, Decimals and Percentages Year 6

    Discover Twinkl's comprehensive range of Year 6 fractions, percentages and decimals resources. Made by teachers for resources you can rely on. Recently Viewed and Downloaded › ... Year 6 Ratio: Solve Problems Involving Percentages Maths Mastery Challenge Cards. 5.0 (4 reviews) Percentages Missing Values Activity. 1.0 (1 review)

  9. Percentages

    Percentages — Missing Values Problem Solving (Year 6) This resource is suitable for the White Rose Maths Scheme of Learning, covering Spring Term Block 4 (Fractions, Decimals and Percentages), Step 9 (Percentages — Missing Values). This percentages and missing values worksheet is a great way to help children practise calculating the whole.

  10. Calculating Percentages (Year 6)

    Year(s): Year 6; Media Type: PowerPoint; Resource Type: Front-of-Class Teaching; Last Updated: 28/09/2022; Resource Code: M2PAT115; Curriculum Point(s): Solve problems involving the calculation of percentages [for example, of measures, and such as 15 percent of 360] and the use of percentages for comparison.

  11. PDF Year 6 Percentage of an Amount 2 Reasoning and Problem Solving

    20% of 65% of 80 75% of 180 = 32 = 40 260 = 180 Finish. E. classroomsecrets.co.uk. Reasoning and Problem Solving - Percentage of an Amount 2 - Year 6 Expected. 7a.Selina says, 22% of 2.5m is 5.5cm. Using examples, explain Selina's mistake and help her find the correct answer. GD.

  12. Understanding Percentages

    Understanding Percentages — Problem Solving: Foundation (Year 6) Help children understand percentages using this foundation-level worksheet. Challenge children to identify how many part of the 100 square are shaded and undershaded, then convert this into percentages. Next, can they find 4 different ways to make 65% from other percentages?

  13. PDF Year 6 Percentages

    Year 6 Percentages. L.O: To be able to use and apply what we have learnt about percentages to solve a range of different problems. Find these percentages using either your own favourite method. 1. 63% of 180 2. 42% of 360 3. 55% of 200 4. 35% of 120 5. 80% of 125 6. 95% of 250 7. 88% of 1000 8. 61% of 220 9.

  14. PDF Year 6 Percentage Increase and Decrease Reasoning and Problem Solving

    Greater Depth Explain the efficiency of a method. Using a range of percentages. Questions 3, 6 and 9 (Problem Solving) Developing Calculate an original price. Using 10%. Expected Calculate an original price. Using 5% and 20%. Greater Depth Calculate an original price. Using a multiple of 10, greater than 20%, not 50%. More Year 6 Percentages ...

  15. NRICH topics: NC NC Yr 6

    Doughnut Percents A task involving the equivalence between fractions, percentages and decimals which depends on members of the group noticing the needs of others and responding. Age 7 to 14

  16. Percentages within word problems Year 6

    Percentages within word problems Year 6. Subject: Mathematics. Age range: 7-11. Resource type: Lesson (complete) File previews. pptx, 2.25 MB. docx, 41.94 KB. This particular lesson was for my recent observation which I linked to World Book Day.

  17. PDF Year 6 Fractions to Percentages Reasoning and Problem Solving

    Greater Depth Prove whether a statement is true or false when changing fractions to percentages where the denominator is not always a factor of 100. Questions 2, 5 and 8 (Problem Solving) Developing Find the percentage of the white area of the shape where the denominator is 10 or 100. Expected Find the percentage of the white area of the shape ...

  18. Year 6 Percentages: Calculate Percentages of Amounts

    ppt, 2.09 MB. Year 6 Percentages Calculate Percentages of Amounts. This Year 6 Percentages Question Set covers the national curriculum objective to calculate percentages of amounts and solve problems involving percentages. Registering for an LbQ account will give you access to the questions included in this resource and many 1,000s more.

  19. Percent

    Which is the greatest? The original price of a toy was $15. If the price is reduced by 20%, what is the new price of the toy? George bought a car at $5000 and sold it at $5500. What benefit, in percent, did he make? If 20% of n is equal to 40, what is n? The price of a T-shirt was $20. It was first increased by 20%.

  20. Word Problems Year 6 Percentages and Decimals

    Word Problems Year 6 Percentages and Decimals. Help your pupils apply their understanding of percentages and decimals to an unfamiliar context using these worded problems. 11 questions to develop reasoning and problem solving skills. This worksheet contains 10 percentages and decimals questions of ascending difficulty plus one challenge question.

  21. A.I.'s Original Sin

    A Times investigation found that tech giants altered their own rules to train their newest artificial intelligence systems. Hosted by Michael Barbaro. Featuring Cade Metz. Produced by Stella Tan ...

  22. iPhone Shipments Fell Nearly 10% in the First Quarter

    Global smartphone shipments rose for a third straight quarter, up 7.8% year over year, signaling a rebound in the overall industry. In 2023, annual shipments fell 3.2% compared with the previous year.