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Percentages Practice Questions

Percentages (non-calculator), click here for questions, click here for answers, percentages (calculator), gcse revision cards.

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Percentage Word Problems

Welcome to our Basic Percentage Word Problems. In this area, we have a selection of basic percentage problem worksheets designed for 6th grade students who are just starting to learn about percentages to help them to solve a range of simple percentage problems.

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Percentage Learning

Percentages are another area that children can find quite difficult. There are several key areas within percentages which need to be mastered in order.

Our selection of percentage worksheets will help you to find percentages of numbers and amounts, as well as working out percentage increases and decreases and converting percentages to fractions or decimals.

Key percentage facts:

• 50% = 0.5 = ½
• 25% = 0.25 = ¼
• 75% = 0.75 = ¾
• 10% = 0.1 = 1 ⁄ 10
• 1% = 0.01 = 1 ⁄ 100

How to work out Percentages of a number

This page will help you learn to find the percentage of a given number.

There is also a percentage calculator on the page to support you work through practice questions.

• Percentage Of Calculator

This is the calculator to use if you want to find a percentage of a number.

Simple choose your number and the percentage and the calculator will do the rest.

Basic Percentage Word Problems

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:

• spot the percentage problems where the aim is to use the given facts to find the missing percentage;
• solving percentage of number problems, where the aim is to work out the percentage of a number.

Each of the sheets on this page has also been split into 3 different worksheets:

• Sheet A which is set at an easier level;
• Sheet B which is set at a medium level;
• Sheet C which is set at a more advanced level for high attainers.

Spot the Percentages Problems

• Spot the Percentage 1A
• PDF version
• Spot the Percentage 1B
• Spot the Percentage 1C
• Spot the Percentage 2A
• Spot the Percentage 2B
• Spot the Percentage 2C

Percentage of Number Word Problems

• Percentage of Number Problems 1A
• Percentage of Number Problems 1B
• Percentage of Number Problems 1C
• Percentage of Number Problems 2A
• Percentage of Number Problems 2B
• Percentage of Number Problems 2C
• Percentage of Number Problems 3A
• Percentage of Number Problems 3B
• Percentage of Number Problems 3C

More Recommended Math Worksheets

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

6th Grade Percentage Word Problems

The sheets in this area are at a harder level than those on this page.

The problems involve finding the percentage of numbers and amounts, as well as finding the amounts when the percentage is given.

• 6th Grade Percent Word Problems
• 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.

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

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.

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Percentages

Five percentages lessons to choose from, or mix and match as you need!

Percentages of amounts without a calculator is an Introductory, visual lesson with differentiated tasks.

Percentages of amounts, increasing and decreasing, does what is says, with lots of differentiation and answers included along the way. Ends with the stock exchange game.

Calculating percentage change includes calculating percentages of amounts.

Compound interest and depreciation is another scaffolded and complete lesson with answers included.

Simple vs. compound interest - the difference between the two and lots of practice comparison tasks.

Reverse percentages uses the inverse method to solve problems, with a differentiated main task and answers included.

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Percentages

This SMILE resource contains two packs of games, investigations, worksheets and practical activities supporting the teaching and learning of percentages, from the pictorial representation of the definition of a percentage to finding percentage increase.

Percen tages  pack o n e  contains seven work cards with a wide variety of activities requiring students to estimate percentages, find simple percentages of an amount, express percentages as decimals, and convert between fractions, decimals and percentages.

Pe rcentages pack two  contains eight work cards with activities covering finding percentages of an amount, comparing fractions by converting to percentages, and finding percentages to solve problems in context.

SMILE (Secondary Mathematics Individualised Learning Experiment) was initially developed as a series of practical activities for secondary school students by practising teachers in the 1970s. It became a complete individualised scheme based around a network of activity cards and assessments.

Related resources include an swers  to all of the cards and t est  books and answers .

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Mr Barton Maths Podcast

Long-form conversations about teaching and learning with craig barton, tes top 10 resources: fractions, decimals & percentages.

The following collection of resources have been assembled by the TES Maths Panel . They can be downloaded for free by registering on the TES website.

Fractions, decimals and percentages are found everywhere throughout mathematics and in your daily life. Imagine the chaos at a birthday party without an understanding of fractions when it came to cutting the cake.

Understanding decimals is at the heart of currency and exchange rates. How could we ever know if we are getting a good deal from a sale without an understanding of percentages? Needless to say we all need to get to grips with these concepts just to get by from day to day and most importantly, to prevent us from being ripped off! The resources outlined below enable you to bring some life to a vital topic for your students.

Top 10 resources 

KS3/4 Collect a joke – four operations on fractions

Age Range:  11-16  Format:  MS Word

Description:  This sheet can bring some life to your lessons and get students engaged and eager to answer lots of questions in a race to work out the joke!

Estimating percentages game

Age Range:  11-16  Format:  Web

Description:  This resource is a cracker to get students thinking about the link between fractions and percentages. It even comes with some suggested rules to help get you started. Did I hear someone say percentage golf…?

Maths Vegas! Fractions

Age Range:  11-16  Format:  PPT

Description:  Easily adaptable for other topics and rules. Students work in groups and place a wager on getting a correct answer. The group who has the most ‘chips’ at the end is the winner.

FDP Simpsons Top Trumps

Age Range:  11-16  Format:  PDF

Description:  A great way to get students engaged in an activity is to put the ever popular Top Trumps spin on it. Students take it in turns to compare the test scores of some characters from The Simpsons but best of all is they’ll have to convert between FDP to see who wins!

Percentage of amount game

Description:  A brilliant idea to get students actively engaged and also improve their fitness levels. You’re going to need room for this. Project two questions onto the IWB or a wall in an assembly area if possible. Students in the middle must work out the answer and run to the wall with the bigger answer. If you get it wrong or are last then you are eliminated till the next round. Easily adaptable for many topics too!

Fractions, decimals and percentages – Cookie Monster

Description:  Students are shown a collection of four fractions, decimals, and percentages and identify which one doesn’t belong…all before Cookie Monster finishes his song. A good twist on this is to use the four walls of your room to represent an answer. Who will be the last student standing?

Adding decimals boxes game

Age Range:  11-16  Format:  Word

Description:  Adding decimals with a twist. Students play the classic game of ‘dots’ but the winner is not the person with the most boxes in the end. It is the person with the highest score from the boxes when added. Could be easily modified to do with many other topics, too!

Percentage increase and decrease treasure hunt

Description:  There’s very few classes that don’t enjoy a good treasure hunt to consolidate their understanding of percentage increase/decrease. Great for getting students active on a cold Monday morning or even better on a warm Friday afternoon.

Tarsia – Fractions (four operations)

Age Range:  11-16  Format:  ftsw

Description:  Tarsias are a great activity in place of a set of questions. Here is a set of tarsias for lots of practice with the four operations and fractions.

Fractions countdown style!

Age Range:  11-16  Format:  swf

Description:  Get students practising working with fractions with a countdown spin on it. Great if you have one laptop between four on a table for students to compete against each other. Otherwise just put it on the IWB and go from there.

Brian Arnold,  Maths Secondary Panel

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Solved Examples on Percentage

The solved examples on percentage will help us to understand how to solve step-by-step different types of percentage problems. Now we will apply the concept of percentage to solve various real-life examples on percentage.

Solved examples on percentage:

1.  In an election, candidate A got 75% of the total valid votes. If 15% of the total votes were declared invalid and the total numbers of votes is 560000, find the number of valid vote polled in favour of candidate.

Total number of invalid votes = 15 % of 560000

                                       = 15/100 × 560000

                                       = 8400000/100

                                       = 84000

Total number of valid votes 560000 – 84000 = 476000

Percentage of votes polled in favour of candidate A = 75 %

Therefore, the number of valid votes polled in favour of candidate A = 75 % of 476000

= 75/100 × 476000

= 35700000/100

2. A shopkeeper bought 600 oranges and 400 bananas. He found 15% of oranges and 8% of bananas were rotten. Find the percentage of fruits in good condition.

Total number of fruits shopkeeper bought = 600 + 400 = 1000

Number of rotten oranges = 15% of 600

                                    = 15/100 × 600

                                    = 9000/100

                                    = 90

Number of rotten bananas = 8% of 400

                                   = 8/100 × 400

                                   = 3200/100

                                   = 32

Therefore, total number of rotten fruits = 90 + 32 = 122

Therefore Number of fruits in good condition = 1000 - 122 = 878

Therefore Percentage of fruits in good condition = (878/1000 × 100)%

                                                                 = (87800/1000)%

                                                                 = 87.8%

3. Aaron had $ 2100 left after spending 30 % of the money he took for shopping. How much money did he take along with him?

Solution:            

Let the money he took for shopping be m.

Money he spent = 30 % of m

                      = 30/100 × m

                      = 3/10 m

Money left with him = m – 3/10 m = (10m – 3m)/10 = 7m/10

But money left with him = $ 2100

Therefore 7m/10 = $ 2100          

m = $ 2100× 10/7

m = $ 21000/7

Therefore, the money he took for shopping is $ 3000.

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

Problems on Percentage

Real Life Problems on Percentage

Word Problems on Percentage

Application of Percentage

8th Grade Math Practice From Solved Examples on Percentage to HOME PAGE

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Fractions, Proportion & percentage questions

Subject: Mathematics

Age range: 11-14

Resource type: Worksheet/Activity

Last updated

19 May 2019

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Resource with fractions, proportion and percentages. Resource includes worked examples followed by questions, also includes answers. The lesson also includes a worksheet which students could use in class or complete as a piece of homework. This resource should last a full hours lesson or more.

This resource is also very useful for students that struggle answering questions involving both fractions and percentages or fractions and ratio in the same question.

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A bundle is a package of resources grouped together to teach a particular topic, or a series of lessons, in one place.

Percentages

All my resources on Percentages. Lessons, revision lessons and worksheets at a discounted price.

GCSE Maths 9-1: Ratio & Proportion

This bundle consists of all lessons I use to teach work related to ratio and proportion through years 7 to 11. The revision material tends to be used in year 11 or even year 10.

GCSE revision lessons 2

This bundle continues with the revision lessons for year 11 students at Higher and/or foundation level.<br /> This initial bundle contains roughly 14 hours of revision lessons on <br /> Standard Form<br /> Percentages of a quantity <br /> Properties of a velocity time graph (area under a graph & gradient of a tangent to the curve)<br /> Factorising and removing brackets for up to three brackets.<br /> Pie charts & Scatter diagrams<br /> Inverse & direct proportion<br /> Circle problems<br /> Simultaneous equations<br /> Dividing into a ratio<br /> and others...

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