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Fractions and Percentages Extension

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Fractions and Percentages Extension

Show your working for each problem. Give money answers in dollars and cents where needed.

Fractions and percentages in context

1.A tablet costs $960 before a sale. The sale takes 12.5% off the price. What is the sale price?

2.Charlotte earns $960 each week. She saves 5/12 of her pay and uses 3/8 for rent. How much remains for other costs?

3.A recipe uses 2 2/3 cups of oats to make enough for 8 people. How many cups of oats are needed for 15 people?

4.A community has 1,200 members. If 75% take part in a weekly activity and 2/9 of those choose cycling, how many members choose cycling?

Reasoning with changes and growth

5.A shop raises the price of a jacket by 15%, then applies a 15% discount to the raised price. Is the final price equal to the starting price? Use calculations to explain the difference.

6.Two savings accounts each begin with $5,000. Account A earns 4% interest once for the year. Account B earns 0.5% interest each month, compounded monthly. Which account has the larger balance after 12 months? Show the balances to the nearest cent.

7.A water tank is 5/8 full. Someone uses 20% of the water that is in the tank. What fraction of the tank is full afterwards? Give the answer as a fraction and a percentage.

Extension challenge

8.Three-sevenths of 84% of a number is 180. What is the number?

9.A bacteria culture starts with 600 bacteria and grows by 50% every 4 hours. What fraction of the culture after 12 hours is made up of the original bacteria? Give your answer in simplest form.