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Pupils should be taught to define percentage as ‘number of parts per hundred’, interpret percentages and percentage changes as a fraction or a decimal, interpret these multiplicatively, express one quantity as a percentage of another, compare two quantities using percentages, and work with percentages greater than 100%

Here are some specific activities, investigations or visual aids we have picked out. Click anywhere in the grey area to access the resource.

• Visualise Percentages If you can picture in your mind what a percentage looks like you may be better able to preform mental calculations.
• Percentages In Your Head Video It is really useful to have some mental strategies for working out percentages in your head.
• Percentages Quiz A multi-level quiz on finding percentages. The lower level questions can be done mentally while the highest level questions require a calculator.
• Fractions Decimals Percentages Revise the methods for converting fractions to decimals and percentages.
• Fraction Percentage Match the fraction with the equivalent percentage. A drag and drop self marking exercise.
• Fraction Percentage Pairs The traditional pairs or Pelmanism game adapted to test knowledge of simple fractions and their equivalent percentages.
• Particular Pipes Construct the pipes using a set number of pieces with lengths given as fractions, decimals or percentages.
• Express as a Percentage Here are some examples showing how to express one quantity as a percentage of another.
• Express as a Percentage This self-marking quiz requires you to work out what one quantity is as a percentage of a second quantity.
• Express Percentage Puzzle Drag the numbers into the percentage statements to make them true.
• Fractions, Decimals, Percentages An exercise on converting fractions to decimals, decimals to percentages and percentages to fractions.
• Number Skills Inventory A checklist of basic numeracy techniques that every pupil should know.
• Percentage Change Test your understanding of using percentages with this self marking quiz about percentage change.
• Fractions Decimals Percentages Video A reminder of the quick methods of converting between fractions, decimals and percentages.

Here is an exam-style questions on this statement:

• "(a) In an election, David Linewhip gained 27 552 votes out of a total of 43 715 votes. Write 27 552 as a percentage of 43 715 giving your answer to the nearest integer." ... more

Here is an Advanced Starter on this statement:

• Hundred and Fifty Percent
  Divide 110 into two parts so that the larger part is 150% of the smaller part. more

Click on a topic below for suggested lesson Starters, resources and activities from Transum.

• Percentages Percentages provide a useful and common way to express a part of a quantity. The word is derived from the Latin per centum meaning “by the hundred”. Although percentages are usually used to express numbers between zero and one, any ratio can be expressed as a percentage. Pupils begin working with common percentages such as 50%, 25% and 10% and practise estimating percentages to get a better understanding of the concept. They then learn how to convert percentages to decimals and vulgar fractions and vice versa. More advanced problem solving may include percentage change and how it is applied in real life to discounts and interest. A study of the use of percentages in the media can provide many discussion points and can provide a stimulus for classroom display work.