conversionconversion

Decimal0.37

percentagefraction

0.37×100

Fraction35

Decimalpercentage

3÷5 3÷5×100

Percentage87%

Decimalfraction

87÷100

37% 37100

0.660%

0.87 87100

Percentage increase and Percentage increase and decreasedecrease

Nerissa wants to buy a new plasma TV which Nerissa wants to buy a new plasma TV which costs $2080. Harvey Norman is having a 20% costs $2080. Harvey Norman is having a 20% discount on all TVs.discount on all TVs.

Question:Question:

What does 20% discount mean?What does 20% discount mean?

How much is the discount?How much is the discount?

How much is the price after discount?How much is the price after discount?

The petrol price has increased by 20% in The petrol price has increased by 20% in the past year. If petrol cost $1.32 per litre the past year. If petrol cost $1.32 per litre last year. How much does it cost this last year. How much does it cost this year?year?

House price rose by 37% over the past 4 years. House price rose by 37% over the past 4 years. The price now is $290,000. What is the price 4 The price now is $290,000. What is the price 4 years ago?years ago?

Let Let AA be the house price 4 years ago. be the house price 4 years ago.

A × (1+37 %)= 290,000

A = 290,000÷(1+37%)

A = 290,000÷1.37

A = 211,000

OldNew

Increase by a% ×(1+a%)

÷(1+a%)

OldNew

Decrease by a% ×(1-a%)

÷(1-a%)

Charlotte has $450Charlotte has $450

Hoony takes away Hoony takes away 20%20%

Jonathan takes Jonathan takes away 30%away 30%

Cloe gives 10%Cloe gives 10%

Jasmine gives Jasmine gives 15%15%

Nick takes away Nick takes away 25%25%

Jasmine gives Jasmine gives 15%15%

Hoony takes Hoony takes away 20%away 20%

Nick takes away Nick takes away 25%25%

Cloe gives 10%Cloe gives 10%

Jonathan takes Jonathan takes away 30%away 30%

Cloe gives 10%

Hoony takes away 20%

Jonathan takes away 30%

Jasmine gives 15%

Nick takes away 25%

How much has Charlotte got How much has Charlotte got left?left?

Madison has 500$ in the endMadison has 500$ in the end

Matt takes away Matt takes away 20%20%

Fraser takes away Fraser takes away 30%30%

Daniel gives 10%Daniel gives 10%

Robert gives 15%Robert gives 15%

Murphy takes away Murphy takes away 25%25%

Fraser takes away Fraser takes away 30%30%

Daniel gives 10%Daniel gives 10%

Matt takes away Matt takes away 20%20%

Murphy takes away Murphy takes away 25%25%

Robert gives 15%Robert gives 15%

Fraser takes away Fraser takes away 30%30%

Murphy takes away Murphy takes away 25%25%

Matt takes away Matt takes away 20%20%

Robert gives 15%Robert gives 15%

Daniel gives 10%Daniel gives 10%

How much Madison starts How much Madison starts with?with?

Who gets the cheapest pair Who gets the cheapest pair of jeans?of jeans?

Jack goes to Just Jeans. Original price $180. Jack goes to Just Jeans. Original price $180. The shop is having a 20% discount.The shop is having a 20% discount.

Robert goes to JJs. The price is $140 but Robert goes to JJs. The price is $140 but doesn’t include tax. He needs to add 8% tax to doesn’t include tax. He needs to add 8% tax to the price.the price.

Corne goes to Jeanswest. He got 20$ off the Corne goes to Jeanswest. He got 20$ off the original $160original $160

Who has the highest Who has the highest original price for the original price for the bracelet?bracelet?

Madison bought a bracelet for $200 after Madison bought a bracelet for $200 after 15% discount.15% discount.

Clarissa bought a bracelet for $180 after Clarissa bought a bracelet for $180 after 10% discount.10% discount.

Danielle bought a bracelet for $175 after Danielle bought a bracelet for $175 after 5% discount.5% discount.

Who has the biggest Who has the biggest discount?discount?

Ryan buys a cup of hot chocolate. Original Ryan buys a cup of hot chocolate. Original price $3.00, reduced price $2.50. How much price $3.00, reduced price $2.50. How much discount does he get?discount does he get?

Daniel buys a meatball sub. Original price Daniel buys a meatball sub. Original price $7.50, reduced price $6.50. How much $7.50, reduced price $6.50. How much discount does he get?discount does he get?

Mariko buys a vanilla ice cream. Original price Mariko buys a vanilla ice cream. Original price $4.50. reduced price $3.80. How much $4.50. reduced price $3.80. How much discount does she get?discount does she get?

ReverseReverse

Old value New New ValueValue

Increase 30%

×(1+30%)×1.3

÷(1+30%)÷1.3

÷

×

Because it’s an 30% increase it always 1+30% no matter which way you go!!!!!

Old value New New ValueValue

decrease 30%

×(1-30%)×0.7

÷(1-30%)÷0.7

×

÷

Because it’s an 30% decrease it always 1-30% no matter which way you go!!!!!

New Value

200

Old Value

Increase 30%(1+30%)

200÷(1+30%)

153

240Increase 20%(1+20%)

240÷(1+20%)

200

100decrease 50%(1-50%)

100÷(1-50%)

200

150decrease 30%(1-30%)

150÷(1-30%)

214

New Value

200

Old Value

153

240200

100200

150214

Percentage increase/decrease

(200-153)÷153

(240-200)÷200

(200-100)÷200

(214-150)÷214

÷

RatioRatio

Clarissa mixes 2 cups of flour and 1 cup of cocoa to Clarissa mixes 2 cups of flour and 1 cup of cocoa to make a chocolate cake. What’s the ratio of flour make a chocolate cake. What’s the ratio of flour and cocoa?and cocoa?

2:12:1Andrew spends 2 hours doing maths and 5 hours Andrew spends 2 hours doing maths and 5 hours

playing playstation everyday. What’s the ratio of playing playstation everyday. What’s the ratio of the hours Andrew spends on maths and the hours Andrew spends on maths and playstation?playstation?

2:52:5Nick pays $20 for a pizza and $5 for a milkshake. Nick pays $20 for a pizza and $5 for a milkshake.

What’s the ratio of the price for pizza and What’s the ratio of the price for pizza and milkshake?milkshake?

20:5 20:5 5:15:1

Corne and Tarique share a box of sushi. Corne and Tarique share a box of sushi. They decide to share it in the ratio of They decide to share it in the ratio of Corne to Tarique 3:2. If Tarique has 6 Corne to Tarique 3:2. If Tarique has 6 sushi, how many does corne have?sushi, how many does corne have?

Blake and Jonothan are going to split $120 in the Blake and Jonothan are going to split $120 in the ratio of 3:5. How much does each person get?ratio of 3:5. How much does each person get?

Chloe goes overseas her money transactions using Chloe goes overseas her money transactions using credit card, traveller’s cheques and cash will occur credit card, traveller’s cheques and cash will occur in the ratio of 5:3:12. When in Australia she in the ratio of 5:3:12. When in Australia she expects to make 60 money transactions. Estimate expects to make 60 money transactions. Estimate how many there are of each transaction.how many there are of each transaction.

Matt and Daniel buy a lotto ticket for $20. Matt pays Matt and Daniel buy a lotto ticket for $20. Matt pays $12, Daniel pays $8. The ticket wins a prize worth $12, Daniel pays $8. The ticket wins a prize worth $149. How much of the prize money should Daniel $149. How much of the prize money should Daniel and Matt each get?and Matt each get?