Compound Growth and Decay GCSE revision and worksheets

Compound interest and decay have always been apart of the GCSE Maths syllabus but the new course contains more complex questions that you should practice. Knowing the compound interest formula is essential and this needs to be applied to compound depreciation questions. The resources on this page are suitable to those students who are sitting their GCSE Maths exams through any of the major exam boards, including AQA, OCR, Edexcel and WJEC.

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What you need to know

What you need to know:

The most typical example of compound growth is compound interest. This occurs when each year, a bank calculates the fixed percentage interest on your account, say 3%, and adds it your total amount. For example, £100 would become £103. Then, at the end of next year, it adds another 3%, but now that 3% amounts to more, because we’re taking 3% of £103 – so it’s like we’re getting interest on last year’s interest, which is precisely what compound interest is. At the end of the two years, your money increases by £3.09 rather than just £3.

This works the same for compound decay. Reducing £100 by 3% the first year gives you £97. But then reduce by 3% again and you’re taking 3% of 97, which will be a smaller number. In either case, you may be asked to set up and solve problems surrounding compound growth and decay, and (as always) interpret the answers you get.

For example, you should be able to recognise that a question of “how much will £5000 become after 6 years at a 4% compound interest rate become?” amounts to the calculation:

\pounds5000 \times 1.04^6 = \pounds6326.56

where 1.04 is the multiplier for 4% and the power of 6 is because of the 6 years (or 6 occurrences of interest being added). This is one line of calculation that is often worth 3 marks, so it is worth becoming very familiar with.

Compound Growth and Decay Revision and Worksheets

Compound and simple interest and depreciation
Level 4-5
Compound Interest And Depreciation
Level 4-5
Compound Interest And Depreciation 2
Level 4-5
Compound and simple interest and depreciation
Level 4-5
Percentages: compound interest
Level 4-5

Compound depreciation resources can be accessed via this dedicated page. If you are also looking for decay and compound depreciation questions you will also find them as part of this Maths Made Easy resource page. Whether you teach GCSE Maths in Leeds or you are a Maths tutor in London, you will find these compound interest questions and resources useful.

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