Numbers and the number system (AQA GCSE Further Maths): Flashcards

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Numbers and the number system
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What does a ratio compare?

How many times one amount contains another

First step before simplifying ratios

Convert all quantities to the same units

What percentages represent

Parts of 100

How to convert percentage to decimal

Divide by 100

Method to find % of a number

Convert % to decimal, then multiply by the number

Percentage increase: multiply by?

(100+increase)(100 + \text{increase})% as decimal

540 increased by 17.5%: multiply by

1.1751.175

Rule for dividing fractions

Multiply by the reciprocal (flip second fraction)

Key phrase for fraction division

Flip and multiply

How to connect ratios with common term

Make the common term the same value in both ratios

What to find to make common term equal

LCM of the term's values

x:y=5:3x:y = 5:3 and y:z=4:7y:z = 4:7. Find x:zx:z

20:2120:21

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