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GCSE Mathematics Problem Solving Number Higher Tier.

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Presentation on theme: "GCSE Mathematics Problem Solving Number Higher Tier."— Presentation transcript:

1 GCSE Mathematics Problem Solving Number Higher Tier

2 Simon invested his money in an account that increased by 3.5% every year for 4 years. At the end of the 4 years there was £9753.95 in the account. How did Simon originally invest? Final amount = Original amount x ( 1 + rate of interest) no. of years Consider how compound interest and the final amount is calculated. Substitute the values given in the question into the formula. £9753.95 = Original amount x ( 1 + 0.035) 4 £9753.95 = Original amount x ( 1.035) 4

3 Rearrange this equation so that the original amount is the subject of the formula £9753.95 = Original amount x ( 1.035) 4 ( 1.035) 4 £9753.95 = Original amount ( 1.035) 4 £8500 = Original amount


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