A few, easy ratio and proportion-type problems here. None of them are too tricky.

**1. If three apples cost 45p, how much would five apples cost?****2. Steven buys 7 similar books for a total of £8.40. How much would he pay for just 3 books?****3. Simplify the ratio 45:20.****4. Sam is 16 years old. His sister is 24 years old. What is the ratio of Sam's age to his sister's age? Give your answer in its simplest form.****5. A map scale is 1:20000. A distance on the map is measured to be 5.6cm. What is the actual distance in real life? Give your answer in metres.****6. A recipe for vegetable curry needs 300 grams of rice, and it feeds 4 people. How much rice would be needed for 7 people?****7. £60 is to be divided between Brian and Kate in the ratio 2 : 3. How much does Kate get?**

Questions 8 - 10 refer to a necklace of which you can see 2 white beads, three black beads next to those, 2 white beads next to the black beads and 3 black beads next to the 2 white beads.

**8. What is the ratio of white beads to black beads, in its simplest form?****9. How many white beads would be needed to go with 24 black beads?****10. The necklace uses 75 beads altogether. How many of these are black beads? **

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