Ratio & Proportion: Hard Test 4

15 questions · 15 minutes

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A : B = 4 : 5 and B : C = 10 : 9. What is A : C in its simplest form?
£360 is shared between three people in the ratio 2 : 3 : 7. How much more does the largest share receive than the other two shares added together?
A recipe for 5 people uses 400 g of pasta. Kim has a 1 kg bag of pasta. What is the greatest number of whole people she can cook for?
A sack of grain feeds 12 hens for 8 days. How long would the same sack feed 16 hens?
In a school the ratio of boys to girls is 6 : 7 and there are 120 more girls than boys. How many pupils are there altogether?

Watch the difference between a ratio and a fraction: in a ratio of 3:5, the first share is three eighths of the whole, not three fifths.
Add the parts first. For a ratio of 3:5 there are 8 parts in total, so divide the amount by 8 to find the value of one part.