# 23/24 EHE L55 - Percentages

thomas.payne

Created on May 2, 2024

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## Transcript

Challenge

##### 1) Solve x + 12 = 51 2) Simplify 18 : 54 : 27 3) Write 12/50 as a percentage 4) Round 5.813 to 2 decimal places 5) Evaluate 53 6) Convert 4.5km into metres 7) Calculate 35% of 300 8) Simplify 3( 𝑔 + 9 ) 9) State the factors of 30 that are larger than 510) 2/7 + 3/7

Percentages

Describe: How would you find 10% of £25?Describe: How would you find 25% of £40?Describe: How would you find 2% of £80?

Try 12% of £80

Percentage of an amount

If you were allowed a calculator, how would you work out this question?Find 83% of £257

Percentage of an amount

Decrease 50g by 7%

Increase 60kg by 5%

Percentage of an amount

Percentage Change

Percentage Change

##### 1). In a storm 144 fruit trees were left standing out of 180 fruit trees in an orchard. What is the percentage decrease in the number of trees? 2). A javelin thrower has best throw of 60m. In the next competition he throws 72m. What is the percentage increase of his personal best? 3). A wine manufacturer puts down 250 bottles for 3 years. After 3 years only 220 bottles are in tact. What is the percentage decrease in the number of bottles? 4). A man weighs 65Kg. After two weeks on a diet he weighs 58Kg. What is his percentage decrease in weight? 5). A board 130 cm long is trimmed to 104 cm. What percentage has been removed?

percentage change

#### The price of a jacket was reduced in a sale by 20% to £368. How much did the jacket cost before the sale?

Reverse percentages

#### Penny is given a 13% pay rise.She now earns £16,950 per year.How much did she earn before the pay rise?

Reverse percentages

##### a) After a 10% increase, a laptop is priced at £550. What was its original price? b) A watermelon's weight increases by 20% after absorbing water. If it now weighs 4.8 kilograms, what was its original weight? c) A shirt is sold for £18 after a 25% discount. What was its original price?

Reverse percentages

##### a) Calculate the simple interest on £1000 at a rate of 5% per annum for 3 years. b) If you invest £500 at an interest rate of 8% per year for 2 years, how much do you have in total after 2 years? c) Find the simple interest on £2000 at 6% per annum for 4 years. d) If you borrow £8000 at an interest rate of 4% per year for 5 years, what is the simple interest? e) Calculate the simple interest on £1200 at 10% per annum for 1 year. f) If you deposit £3000 in a savings account at an interest rate of 3% per year for 3 years, how much is in the account after 3 years?

Simple interest

Compound interest

##### a) If you invest £2000 with a compound interest rate of 8% per year how much is in the account after 3 years?b) If you invest £3000 with a compound interest rate of 6% per year how much is in the account after 4 years?c) If you invest £5000 with a compound interest rate of 6.3% per year how much is in the account after 6 years?d) The weight of a kitten increases by 14% each month. If the kitten was 2.25kg when it was born, how much does the kitten weigh after 4 months?e) A car costed £2500 then depreciated at 15% per year. How much is it worth after 6 years?

Compound interest (+ depreciation)

https://drive.google.com/file/d/1cw-5LkBKjywGEAnNUU7bDLDsUHd4x1ia/view?usp=sharing

Gradient

Past paper questions

https://drive.google.com/file/d/1cw-5LkBKjywGEAnNUU7bDLDsUHd4x1ia/view?usp=sharing

https://drive.google.com/file/d/1cw-5LkBKjywGEAnNUU7bDLDsUHd4x1ia/view?usp=sharing

https://drive.google.com/file/d/1cw-5LkBKjywGEAnNUU7bDLDsUHd4x1ia/view?usp=sharing

https://drive.google.com/file/d/1cw-5LkBKjywGEAnNUU7bDLDsUHd4x1ia/view?usp=sharing

https://drive.google.com/file/d/1cw-5LkBKjywGEAnNUU7bDLDsUHd4x1ia/view?usp=sharing