1. Task on Entry – Percentage of an Amount 760 76 38 380 190 266 Extension – Calculate: a)85% b)1% c)18% d)17.5%

2. The Percentage Multiplier Suppose we have £550 in a bank account, which increases at 15% per year. How much would we have after 1 year? £550 100% £632.50 115% x 1.15

3. The Percentage Multiplier What if we had £750 in a bank account, which increases at 9% per year. How much would we have after 1 year? £750 100% £817.50 109% x 1.09

4. The Percentage Multiplier Imagine we have a car worth £1200 which decreases in value by 20% in a year. How much would it be worth after a year? £1200 100% £960 80% x 0.80

5. The Percentage Multiplier A pair of shoes is reduced in a sale by 9%. If they originally cost £20.99, what is the sale price? £20.99 100% £19.10 91% x 0.91

6. The Percentage Multiplier What is the percentage multiplier for – a)a 10% increase? b)a 24% increase? c)a 40% decrease? d)a 16% decrease? e)a 29% increase? f)a 30% decrease? g)a 120% increase? x 1.10 x 1.24 x 0.60 x 0.84 x 1.29 x 0.70 x 2.20

7. Percentages Reverse Percentages Grade A

8. A Guide to Reverse Percentages ? The price of the dress before the sale started × 0.75 The percentage multiplier for a 25% decrease = 30 The sale price of the dress In a sale all the prices are reduced by 25%. The sale price of a dress is £30. Work out the normal price of the dress.

9. A Guide to Reverse Percentages =? ÷ 0.75 Rearrange our equation…. 30 The price of the dress before the sale started was £40 In a sale all the prices are reduced by 25%. The sale price of a dress is £30. Work out the normal price of the dress.

10. A Guide to Reverse Percentages ? The salary of employees before the pay increase × 1.04 The percentage multiplier for a 4% increase = 24960 Linda’s salary after the pay rise Employees at a firm receive a pay increase of 4%. After the pay increase Linda earns £24,960. How much did Linda earn before the pay increase?

11. A Guide to Reverse Percentages =? ÷ 1.04 Rearrange our equation…. 24960 Linda’s salary before the pay rise was £24,000 Employees at a firm receive a pay increase of 4%. After the pay increase Linda earns £24,960. How much did Linda earn before the pay increase?

12. £550£748.27 100%??? x 1.08 4 Recap on Compound Percentages Tom invests £550 in an ISA, with a fixed interest rate of 8%. How much will he have in 4 years?

13. 67776,000 100%??? x 0.97 4 ÷ 0.97 4 Reverse Compound Percentages Radiation is caused by carbon atoms ‘decaying’, at a rate of 3% per year. After 4 years there are 6000 atoms in a sample. How many were there to start with?

14. Independent Task – Reverse Percentages