Sign In | Starter Of The Day | Tablesmaster | Fun Maths | Maths Map | Topics | More

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.
- Interest Video Learn about simple interest, compound interest, appreciation and depreciation. This video is to help you do the online, self-marking exercise.
- Overdraft Charges Do you understand how your bank charges you for taking out an overdraft? Try this self marking quiz.
- Percentage Change Test your understanding of using percentages with this self marking quiz about percentage change.
- Percentage Change Video When you have mastered working out percentages you can then apply that skill to calculating percentage increase, decrease and reverse percentages.

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 - "
*The value of a new car is £22 000.*" ... more - "
*Windthrup bought a car for £9500 which depreciated by 6% in the first year and 3.5% in the second year.*" ... more - "
*Zoe invests £5000 in an account for one year. At the end of the year, interest is added to her account.*" ... more - "
*Montague invests £7000 for six years in a bank offering compound interest at \(x%\) per annum.*" ... more - "
*John times how long it takes him to run around Hazelnut Park each Friday afternoon. The last three weeks his times, rounded to the nearest minute are \(p, q \; \text{and} \; r\).*" ... more

Here are some Advanced Starters on this statement:

**Double or Half?**

At ten percent change per day is doubling achieved faster than halving? more**Hundred and Fifty Percent**

Divide 110 into two parts so that the larger part is 150% of the smaller part. more**Rich or Poor?**

An interesting outcome of percentage increase and decrease 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.

How do you teach this topic? Do you have any tips or suggestions for other teachers? It is always useful to receive feedback and helps make these free resources even more useful for Maths teachers anywhere in the world. Click here to enter your comments.