Percentages (Edexcel GCSE Maths): Flashcards

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Percentages - GCSE revision guide
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How to convert percentage to decimal

Divide by 100

Method to find x% of y

Convert % to decimal, then multiply by y

Multiplier for 40% decrease

10.4=0.61 - 0.4 = 0.6

Multiplier for 15% increase

1+0.15=1.151 + 0.15 = 1.15

Method: express x as % of y

Divide x by y, multiply by 100

Formula for percentage change

ChangeOriginal×100\frac{\text{Change}}{\text{Original}} \times 100

Denominator in percentage change formula

Always the original value, not final value

Method to find original value (reverse %)

Identify %, divide by %, find 1%, multiply by 100

% that given amount represents in reverse problems

Never 100% - always more or less than 100%

Definition of simple interest

Same amount earned each period, calculated on original only

Method to calculate simple interest

Calculate interest for 1 period, multiply by number of periods

Units requirement in percentage calculations

Must be the same/consistent throughout

Profit is % of which value

Original cost price, not selling price

% represented after 20% increase (e.g., house value)

120%120\% of original (100%+20%100\% + 20\%)

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