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Programme Of Study For Key Stage 3 Mathematics

These are the Transum resources related to the statement: "Pupils should be taught to solve problems involving percentage change, including: percentage increase, decrease and original value problems and simple interest in financial mathematics"

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

- Compound Interest Calculator A customised online calculator for quickly finding the solutions to compound interest problems.
- Interest Practise using the formulas for simple interest and compound interest.
- Percentage Change Test your understanding of using percentages with this self marking quiz about percentage change.

Here are some 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 - "
*In 2009 the price of a Big Mac was £2.29.*" ... more - "
*Windthrup bought a car for £9500 which depreciated by 6% in the first year and 3.5% in the second year.*" ... more - "
*Montague invests £7000 for six years in a bank offering compound interest at \(x%\) per annum.*" ... more

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

- Money For many pupils the ability to understand financial transactions is a skill they thank their mathematics teacher for. Understanding the use of money is a real, practical application of mathematics in the real world and is just as important today as ever it was. When it comes to managing our money and avoiding costly mistakes it is well worthwhile to strive to become an expert. There are key aspects of personal finance the pupils should understand as the get older and more independent in their lives and the activities provided here provide resources for a small part of their learning process.
- 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.