RATIOS
TIP: When doing these sort of problems, remember:
a) Ratios are always shown as numbers separated by a colon (:). For example 5:3 or 2:7:1
b) All ratios do is show how things are divided or shared.
c) You need to understand fractions before you'll be able to use ratios properly (and in some questions you'll need to understand percentages also).
Solve the following:
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1. A supermarket estimates that it sells sliced bread and packets
of bread rolls in the ratio 8:2. If 500 loaves of sliced bread are
sold in a day, how many packets of bread rolls can the supermarket
expect to sell? |
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2. A newsagent sold 63 copies of the The Sun, 45 copies of the Telegraph and 27 copies of the times. Write this as a proportion in its lowest terms.
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3. The formula for making concrete is: How much sand is needed to make 35m3 of concrete?
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4. A GCSE maths course consists of a written examination paper which accounts for 80% of the marks and coursework which accounts for the remaining 20%. Write the ratio of written examination to coursework in its lowest terms. Jane gets an overall mark of 56%. If the ratio of her examination marks to coursework marks was 9:3, what mark did she get for her coursework?
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5. A triangle ABC has sides of lengths: A similar triangle has side AB of length 7cm. What are the lengths of the sides BC and CA? |
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6. If 5 miles is approximately equal to 8 km, what is:
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7. A computer programmer works out that every week, on average she spends 4 hours in meetings, 8 hours writing documentation, and 28 hours writing software. write this ratio in its lowest terms. What fraction of the week is spent in meetings?
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8. Paul and Danny buy a lottery ticket together. Paul can only put 15p towards the ticket so Danny agrees to pay the other 85p under the condition that if they win that the prize money will be shared out in the same proportions as the amount of money each of them invested in the ticket. If they win £1,500, how much does Danny get? If they win £1,360,000 how much does Paul get? |