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conversion

conversion. Decimal 0.37. Fraction 3 5. 3÷5. 3÷5×100. Decimal. 0.6. 0.37×100. percentage. 60%. percentage. 37%. fraction. 37 100. Percentage 87%. 87÷100. Decimal. fraction. 87 100. 0.87. Percentage increase and decrease.

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conversion

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  1. conversion

  2. Decimal 0.37 Fraction3 5 3÷5 3÷5×100 Decimal 0.6 0.37×100 percentage 60% percentage 37% fraction 37 100 Percentage 87% 87÷100 Decimal fraction 87 100 0.87

  3. Percentage increase and decrease

  4. Nerissa wants to buy a new plasma TV which costs $2080. Harvey Norman is having a 20% discount on all TVs. Question: What does 20% discount mean? How much is the discount? How much is the price after discount?

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

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

  7. ×(1+a%) Increase by a% Old New ÷(1+a%) ×(1-a%) Decrease by a% Old New ÷(1-a%)

  8. Hoony takes away 20% Jonathan takes away 30% Cloe gives 10% Jasmine gives 15% Nick takes away 25% Jasmine gives 15% Hoony takes away 20% Nick takes away 25% Cloe gives 10% Jonathan takes away 30% Charlotte has $450 Cloe gives 10% Hoony takes away 20% Jonathan takes away 30% Jasmine gives 15% Nick takes away 25% How much has Charlotte got left?

  9. Madison has 500$ in the end How much Madison starts with? Matt takes away 20% Fraser takes away 30% Daniel gives 10% Robert gives 15% Murphy takes away 25% Fraser takes away 30% Daniel gives 10% Matt takes away 20% Murphy takes away 25% Robert gives 15% Fraser takes away 30% Murphy takes away 25% Matt takes away 20% Robert gives 15% Daniel gives 10%

  10. Who gets the cheapest pair of jeans? • Jack goes to Just Jeans. Original price $180. The shop is having a 20% discount. • Robert goes to JJs. The price is $140 but doesn’t include tax. He needs to add 8% tax to the price. • Corne goes to Jeanswest. He got 20$ off the original $160

  11. Who has the highest original price for the bracelet? • Madison bought a bracelet for $200 after 15% discount. • Clarissa bought a bracelet for $180 after 10% discount. • Danielle bought a bracelet for $175 after 5% discount.

  12. Who has the biggest discount? • Ryan buys a cup of hot chocolate. Original price $3.00, reduced price $2.50. How much discount does he get? • Daniel buys a meatball sub. Original price $7.50, reduced price $6.50. How much discount does he get? • Mariko buys a vanilla ice cream. Original price $4.50. reduced price $3.80. How much discount does she get?

  13. Reverse

  14. ×1.3 ×(1+30%) Increase 30% × New Value Old value ÷ ÷(1+30%) ÷1.3 Because it’s an 30% increase it always 1+30% no matter which way you go!!!!!

  15. ×0.7 ×(1-30%) decrease 30% × Old value New Value ÷ ÷(1-30%) ÷0.7 Because it’s an 30% decrease it always 1-30% no matter which way you go!!!!!

  16. New Value Old Value (1+30%) 153 Increase 30% 200 200÷(1+30%) (1+20%) 200 Increase 20% 240 240÷(1+20%) (1-50%) 200 decrease 50% 100 100÷(1-50%) (1-30%) 214 decrease 30% 150 150÷(1-30%)

  17. ÷ Percentage increase/decrease New Value Old Value 153 200 (200-153)÷153 (240-200)÷200 200 240 (200-100)÷200 200 100 (214-150)÷214 214 150

  18. Ratio

  19. Clarissa mixes 2 cups of flour and 1 cup of cocoa to make a chocolate cake. What’s the ratio of flour and cocoa? 2:1 Andrew spends 2 hours doing maths and 5 hours playing playstation everyday. What’s the ratio of the hours Andrew spends on maths and playstation? 2:5 Nick pays $20 for a pizza and $5 for a milkshake. What’s the ratio of the price for pizza and milkshake? 20:5 5:1

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

  21. Blake and Jonothan are going to split $120 in the ratio of 3:5. How much does each person get? Chloe goes overseas her money transactions using credit card, traveller’s cheques and cash will occur in the ratio of 5:3:12. When in Australia she expects to make 60 money transactions. Estimate how many there are of each transaction. Matt and Daniel buy a lotto ticket for $20. Matt pays $12, Daniel pays $8. The ticket wins a prize worth $149. How much of the prize money should Daniel and Matt each get?

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