Algebra and number (AQA GCSE Further Maths): Flashcards

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Algebra and number
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Formula: xx increased by nn%

x(1 + rac{n}{100})

Algebraic form of xx increased by 13%

1.13x1.13x

Algebraic form of xx increased by 25%

1.25x1.25x

Origin of coefficient 1.13 in 1.13x1.13x

Original value (1) + increase (0.13)

Parts method: If p:q=4:5p:q = 4:5, pp represents

4 equal parts

Parts method: If p:q=4:5p:q = 4:5, qq represents

5 equal parts

If p:q=4:5p:q = 4:5, express pp using qq

p = rac{4}{5}q

If b:c=3:2b:c = 3:2, express bb using cc

b = rac{3}{2}c

Convert 75% to simplest fraction

rac{3}{4}

Method to simplify ratios

Divide both sides by HCF

First step: combining percentages and ratios

Convert percentages to fractions or decimals

Alternative to parts method for ratios

Convert ratio to fraction, then algebraic expression

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