Ratio and ProportionAQA GCSE Maths: Flashcards

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Simplify the ratio $10:15$.

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Simplify the ratio $10:15$ .: $2:3$ (divide both parts by the HCF, 5).
What are the three steps to divide a quantity in a given ratio?: Add the parts to find total shares; divide the quantity by the total shares; multiply each ratio part by the value of one share.
Share £40 in the ratio $1:3$ . What is the smaller amount?: £10 (total shares = 4, one share = £10).
What is the difference between a part:part and a part:whole ratio?: Part:part compares two parts to each other; part:whole compares one part to the total.
What does 'proportion' mean?: An equality of two ratios.
How do you solve a best-buy problem?: Compare the price per common unit (e.g. per 100g or per item) for each option and choose the lowest.
If two shapes are similar with linear scale factor $k$ , what is the ratio of their corresponding lengths?: $1:k$
Express $\frac{3}{4}$ as a ratio.: $3:4$
A recipe uses flour and sugar in the ratio $5:2$ . If there is 250g of flour, how much sugar is needed?: One share = 250 ÷ 5 = 50g, so sugar = 2 × 50g = 100g.
Why must a ratio use whole numbers in simplest form?: So that it clearly and simply shows the relationship between quantities, without unnecessary common factors.