The exchange rates are \(\text{£}1=\$1.28\) and \(\text{£}1=115\) rupees. A computer costs \(\$576\).

Calculate its cost in rupees. [2]

Ben changes \(\text{£}150\) into dollars. The exchange rate is \(\text{£}1=\$1.32\). Find the dollars received. [1]

(a) Sachin invests \(\$7200\) at \(3\%\) simple interest per year. Find the total after 5 years. [3]

(b) A large rice packet has mass \(30\%\) greater than a small packet. The large packet is 650 g. Find the small packet mass. [2]

(c) Jenny starts with 4000 bacteria, increasing exponentially at \(r\%\) per day. After 6 days there are 4598 bacteria. Find r. [3]

On 10 January, a radioactive substance has mass \(150\text{ g}\). Its mass falls by \(5\%\) each day. A scientist records it at the same time daily. Find the first date on which the recorded mass is below \(96\text{ g}\). [3]

A television costs \(\$1260\). Liesl pays a deposit of \(35\%\), then pays the balance in monthly instalments of \(\$45.50\). Find the number of instalments. [3]

(a) Tom invests \(\$2500\) at \(4.4\%\) annual compound interest. Find the value after 6 years. [2]

(b) Behnaz invests \(\$4500\) at \(r\%\) annual compound interest. After 5 years, it is worth \(\$5420\). Find r. [3]

(a) Lee invests \(\$2000\) at \(3.5\%\) simple interest per year. Find the total value after 4 years. [3]

(b) Mia invests \(\$3000\) at \(3.2\%\) compound interest per year. Find the number of complete years before its value exceeds \(\$4800\). [3]

(c) Ryan invests money whose value increases exponentially at \(r\%\) per year. After 6 years the original value has increased by \(19.4\%\). Find r. [3]

The exchange rate is \(\$1=0.93\) euros.

(a) Kit changes \(\$350\) into euros. Calculate the amount received. [1]

(b) Jo changes 150 euros into dollars. Calculate the amount received. [1]

(a) Midhil invests \(\$1500\) at \(4.2\%\) compound interest per year. Find the value after 5 years. [2]

(b) Hitanshi invests at \(x\%\) compound interest per year. The investment doubles after 11 years. Find x. [3]

Nisha earns \(\$12\) per hour for the first 40 hours each week. Extra hours pay \(30\%\) more per hour. She works 45.5 hours. Find her weekly pay. [3]

Sally invests \(\$1500\) at \(3\%\) per year simple interest. Find the total value after 6 years. [3]

Scott changes \(\$300\) into pounds at \(\text{£}1=\$1.20\). Find how many pounds he receives. [1]

Mateo invests \(\$1250\) at r% per year compound interest. After 6 years its value is \(\$1484\). Find r. [3]

In the USA, a gallon of fuel costs \(\$4.83\); in the UK, a litre costs \(\text{£}1.62\). The exchange rate is \(\text{£}1=\$1.215\) and 1 gallon=3.785 litres. Which country charges more per litre, and by how much in dollars? [3]

(a) Alex invests \(\$400\) at \(2.3\%\) per year simple interest. Find the total after 5 years. [3]

(b) Virat starts with \(\$100\), spends \(\$x\) in February, \(10\%\) more in March, and \(10\%\) more than March in April. He has \(\$33.80\) left. Find x. [3]

(c) Bobbie invests \(\$500\) at an annual compound rate. After 17 years it is worth \(\$700.13\). Find its value after 20 years. [4]

Jess invests \(\$1400\) at an annual compound rate of r%. After 4 years it is worth \(\$1523.15\). Find r. [3]

Alex invests \(\$200\) at r% annual compound interest. After 25 years it is worth \(\$301.10\). Find r. [3]

A radioactive mass starts at 20 g and decays exponentially by 10% per day. Find the first whole number of days for which it is below 1 g. [3]

(a) Carlos invests \(\$24000\) at 3.2% annual compound interest. Find its value after 4 years. [2]

(b) He buys a painting for \(\$x\) and sells it for \(\$40870\), making 34% profit. Find the value of the profit. [3]

(c) He buys a car for \(\$32500\). Its value decreases exponentially by 23% each year. Find a formula for its value \(\$V\) after n years. [3]

Nuwa finds the same phone on two websites at 953 Yuan and \(\$141\). The exchange rate is 1 Yuan = \(\$0.152\). Find the price difference in dollars, to the nearest cent. [2]

A town population is 54000 and decreases exponentially by 2% per year.

(a) Calculate the decrease in population after 4 years. [3]

(b) Find the first whole number of years for which the population is below 44000. [2]

Janna and Kamal each invest \(\$8000\) and each has \(\$12800\) after 12 years.

(a(i)) Janna receives r% annual simple interest. Find r. [3]

(a(ii)) Kamal receives R% annual compound interest. Find R. [3]

(b) A city population is 260000 and grows exponentially by 1.8% per year. Find the first whole number of years for which it is more than 300000. [3]

A car worth \(\$8000\) decreases exponentially by 25% each year. Find its value after 3 years. [2]

A gardener charges \(\$6.55\) per hour plus a fixed \(\$15.50\). Find the total charge for 4 hours. [2]

Amir invests \(\$1500\) at r% annual compound interest. After 8 years it is worth \(\$1656.73\). Find r. [3]

Kai invests \(\$5000\) at r% simple interest per year. After 8 years the investment is worth \(\$5700\). Find r. [3]

Edith invests \$3000 at 2.6% simple interest per year. Find the interest earned after 3 years. [2]

An experiment starts with 40000 bacteria. Their number grows by 15% per hour. Find the number after 3 hours. [2]

(a) Ed invests \$500 at r% per year simple interest. After 14 years the total is \$675. Find r. [3]

(b) Eva invests \$400 at 2.2% per year compound interest. Find the interest earned after 11 years, to the nearest cent. [3]

(c) Erin invests \$700 at p% per month compound interest. After 21 years the total is \$1074 to the nearest dollar. Find p. [3]

Alain and Beatrice share \$750 in the ratio Alain : Beatrice = \(8:7\).

(a(i)) Show that Alain receives \$400. [1]

(a(ii)(a)) Alain spends \$150. Write \$150 as a percentage of \$400. [1]

(a(ii)(b)) He invests the remaining \$250 at 2% per year simple interest. Calculate his total amount after 5 years. [3]

(a(iii)) Beatrice invests her \$350 at 0.25% per month compound interest. Calculate the amount after 5 years, correct to the nearest dollar. [3]

(b) Carl, Dina and Eva share 100 oranges. Carl : Dina = \(3:5\) and Carl : Eva = \(2:3\). Find how many oranges Carl receives. [2]

(c) Fred buys a house. Its value increases by 5% in the first year and then by 3% in the second year. After the second year it is worth \$60 564. Calculate its original cost. [3]

(d) Gabrielle invests \$500 at \(r\%\) per year compound interest. After 8 years it is worth \$609.20. Find \(r\). [3]

Anya invests \$6000 at \(r\%\) per year compound interest. After 8 years, the interest earned is \$621.70.

Calculate \(r\). [3]

A forest had 980 trees 11 years ago. Their number decreases exponentially by 1.75% each year.

Calculate the present number of trees, correct to the nearest integer. [2]

(a) Anil changes \$830 into euros at 1 euro = \$1.16, spends 500 euros and changes the rest back into dollars at the same rate. How many dollars does he receive? [3]

(b(i)) Anil earns \$37 000 in 2021 and spends \$12 400 on bills. Find the percentage spent on bills. [2]

(b(ii)) His earnings increase by 3.2% in 2022. Find his earnings in 2022. [2]

(c(i)) He invests \$3500 at 2.4% compound interest per year. Calculate the total interest earned after 5 years. [3]

(c(ii)) Find the first number of complete years at which the account contains at least \$5000. [3]

The exchange rate is 1 Singapore dollar = 0.62 euros. Convert 161.20 euros to Singapore dollars. [1]

Shubhu invests \$750 for 5 years at 1.8% simple interest per year. Calculate the total interest. [2]

Complete the three missing entries in Amir’s shopping table.

Find the orange cost, banana cost per kilogram and total banana cost. [3]

(a(i)) Priya’s car value decreases by 10% yearly. Today it is worth \$7695. Find its value in one year. [2]

(a(ii)) Find its value one year ago. [2]

(b) Ali invests \$600 at 2% simple interest yearly. Find the total investment value after 5 years. [3]

(c) Sara invests \$500 at \(r\)% compound interest yearly. After 12 years it is \$601.35, to the nearest cent. Find \(r\). [3]

(d(i)) A radioactive mass decays by 3% per day. Find the percentage decrease after 10 days. [2]

(d(ii)) Find the first number of whole days when the mass is half its original value or less. [3]

The amounts received for exchanging \$100 are shown below.

(a) Brad changes \$250 into Indian rupees. Find the amount to the nearest rupee. [2]

(b) Wang changes 5400 yuan into dollars. Find the amount to the nearest cent. [2]

(c(i)) Gretal travels from Spain to Wales, spending 3500 euros on travel and hotels in the ratio 4:3. Find the travel cost in euros. [2]

(c(ii)) Find her hotel cost in pounds. [3]

(c(iii)) Her flight covers 2200 km to the nearest 100 km, with average speed 740 km/h to the nearest 20 km/h. Find the lower bound of flight time in hours and minutes. [3]

(a) Sanjay invests \$700 at 2.5% simple interest per year. Find its value after 6 years. [3]

(b) Meera invests \$700 at \(r\)% compound interest yearly. After 17 years it is \$1030.35. Find \(r\). [3]

Kirsty changes \$380.80 into pounds when £1 = \$1.19. Find the amount received. [2]

Carlos invests \$4540 at \(r\)% compound interest yearly. After 10 years he has earned \$1328.54 in interest. Find \(r\). [3]

Keita invests \$4000 at 2.6% annual compound interest. Find the interest earned in 3 years. [3]

Jenna buys 2.4 m of ribbon at \$0.85 per metre and 4.8 m of fabric. Total \$33.48. Find the cost per metre of fabric. [3]

(a(i)) Zak invests \$500 at 2% annual simple interest. Find its value after 5 years. [3]

(a(ii)) Yasmin invests \$500 at 1.8% annual compound interest. Find its value after 5 years. [2]

(a(iii)) They continue their investments. After these 5 years, how many more complete years until Yasmin’s value exceeds Zak’s? [3]

(b) Xavier’s \$2500 car depreciates exponentially by 10% a year. Find its value after 5 years to the nearest dollar. [3]

(c) A bacterial population grows by r% daily and doubles after 22 days. Find r. [3]

Butterfly population decreases exponentially by 34% annually. At the end of 2014 it was 125.9 million. Find the population at the end of 2019, in millions. [2]

(a) Mr Sharma’s painter works 7 hours. Find the charge. [1]

(b) The plumber charges \$252. Find hours worked. [2]

(c) The electrician charges \$224. Find hours worked. [2]

(d) Give the ratio of the painter, plumber and electrician charges in lowest terms. [2]

A business makes a profit of \$9500 in 2014. It decreases by 0.9% each year. Find the profit in 2019. [2]

Jo invests \$600 for 7 years at 1.5% per year simple interest. Find the total interest earned. [2]

Alex exchanges €190 into pounds at £1 = €1.1723. Find the amount received to 2 decimal places. [2]

The exchange rate is €1 = \$1.142.

(a(i)) Johann exchanges \$500 into euros. Find the amount to the nearest euro. [2]

(a(ii)) A computer costs \$329 or €275. Find the difference in dollars. [2]

(b) Lucy spends 3/8 of this month’s savings on a \$5.25 book. Find her savings. [2]

(c) Kamal invests \$6130 at r% annual compound interest. After 5 years it is worth \$6669. Find r. [3]

Angelique rents a room for \$15.50 for the first hour and \$7.25 for each additional hour. She pays \$95.25. Find the total number of hours. [3]

Nina exchanges 153 euros into dollars at \$1 = 0.9 euros. Find the dollars received. [1]

\$500 is invested at 3% per year.

(a(i)) Find the total interest after 7 years with simple interest. [2]

(a(ii)) Find the total interest after 7 years with compound interest. [3]

(b) A car’s value decreases by 10% annually. It is now \$6269.40. Find its value 3 years ago. [3]

A town has population 250 000, decreasing exponentially by 1.7% per year. Calculate its population after 5 years, to the nearest hundred. [3]

Dhanu has a model railway.

(a(i)) A train consists of a locomotive of mass 87 g and 4 coaches, each of mass 52 g. Find its total mass. [2]

(a(ii)) Find the locomotive mass as a percentage of the total train mass. [1]

(b) The train is 61 cm long, travels at 18 cm/s, and takes 4 s for the whole train to cross a bridge. Find the bridge length. [2]

(c) A new locomotive costs \$64. Convert this to rupees at 1 rupee = \$0.0154, to the nearest 10 rupees. [2]

(d) A magazine price increases by 12.5% to \$2.70. Find its original price. [2]

(e) Dhanu plays with the railway from 06:50 to 11:15, then cycles for 3 hours. Find the ratio of railway time to cycling time in simplest form. [3]

(f) The railway’s value, \$550, grows exponentially at r% per year. After 5 years it is \$736. Find r. [3]

Paddy and Anna invest \$2000 each for 5 years. Paddy earns 1.25% simple interest yearly; Anna earns r% compound interest yearly. Their final amounts are equal. Find r. [5]

(a(i)) Divide \$24 in the ratio 7 : 5. [2]

(a(ii)) Write \$24.60 as a fraction of \$2870, in lowest terms. [2]

(a(iii)) Write \$1.92 as a percentage of \$1.60. [1]

(b(i)) Prices are reduced by 15% in a sale. Find the sale price of a \$12 book. [2]

(b(ii)) A jacket’s sale price is \$38.25. Find its original price. [2]

(c(i)) Dean invests \$500 for 10 years at 1.7% yearly simple interest. Find the total interest. [2]

(c(ii)) Ollie invests \$200 at 0.0035% daily compound interest. Find its value after 365 days. [2]

(c(iii)) Edna invests \$500 at r% yearly compound interest. After 6 years it is worth \$559.78. Find r. [3]

A population of45000 increases exponentially by1.6% yearly. Find it after5 years, to the nearest hundred. [3]

A shirt sells for \$26.50 including6% tax. Find its price before tax. [2]

Thor changes40000 Icelandic krona into dollars at1 krona = \$0.0099. Find the dollars received. [1]

Beth invests \$2000 at 2% compound interest per year.

(a(i)) Find its value after 5 years. [2]

(a(ii)) Find the overall percentage increase after 5 years. [2]

(a(iii)) Find the minimum number of complete years until its value is more than \$2500. [3]

(b) A village population decreases exponentially by 4% annually and is now 255. Find the population 16 years ago. [3]

Eric invests at2.16% annual compound interest. After5 years the value is \$6999.31. Find the original investment. [3]

A tourist exchanges \$500 to euros at €1=\$1.0697. How many euros does he receive? [2]

(a) A book price rises from \$2.50 to \$2.65. Find the percentage increase. [3]

(b) Scott invests \$500 for7 years at1.5% annual simple interest. Find the final value. [3]

(c) A city population increases exponentially by1.6% each year. Find the overall percentage increase after20 years. [2]

(d) A village population6400 decreases exponentially by r% yearly and becomes2607 after22 years. Find r. [3]

Paula invests \$600 at r% annual simple interest. In 10 years the total interest is \$90. Find r. [2]

Rashid changes 30 000 rupees to dollars at \$1 = 68.14 rupees. How many dollars does he receive? [2]

(a) Dina invests \$600 for 5 years at 2% annual compound interest. Find the final value. [2]

A gold ring increases in value by 5% per year. It is now worth \$882.

(b(i)) Find its value 2 years ago. [2]

(b(ii)) How many complete years does it take for its value to become greater than \$1100? [2]

Newton has population 23 000, decreasing by 1.4% annually. Find the population after 5 years. [2]

Fabric sells at \$2.97 per metre.

(a(i)) Find the change from \$50 when buying 9 m. [2]

(a(ii)) The selling price is 8% above cost. Find the cost per metre. [3]

(b) A dressmaker charges \$35 or 2300 rupees. At 1 rupee=\$0.0153, find the price difference in rupees. [2]

(c) A length of 600 m, rounded to the nearest 5 m, is cut into lengths of 9 m, rounded to the nearest metre. Find the largest number of complete lengths possible. [3]

(a) A house falls in price from \$82 500 to \$77 500. Calculate the percentage decrease. [3]

(b) Roland invests \$12 000 at 2.2% annual compound interest. Find the value after 6 years, to the nearest dollar. [3]

Rowena buys and sells clothes.

(a(i)) She buys a jacket for \$40 and sells it for \$45.40. Find the percentage profit. [3]

(a(ii)) She sells a dress for \$42.60 at 20% profit on cost. Find the cost price. [3]

(b) Sara invests \$500 for 15 years at 2% annual simple interest. Find the total interest. [2]

Tomas has two cars.

(c(i)) One is worth \$21 000 today and loses 18% of its value annually. Find its value after 5 years, to the nearest hundred dollars. [3]

(c(ii)) The other is worth \$15 000 today and grows in value by x% annually. It will be worth \$42 190 in 12 years. Find x. [3]

At Heidi’s birth, her grandfather invested money at compound interest. The graph shows its exponential growth.

(a(i)) Read the original investment. [1]

(a(ii)) Read the years needed for the original amount to double. [1]

(a(iii)) Read the value after 54 years. [1]

(b) The annual compound rate is r%. Use (a)(i),(ii) to write an equation in r; do not solve it. [2]

Jan invests \$800 at 3% annual simple interest. Find the total value after 4 years. [3]

Africa has 30 000 lions. Their number decreases exponentially by 2% annually. Find the number after 6 years, to the nearest hundred. [2]

The world population grows exponentially at 1.1% per year. Find the number of years to grow from 7 billion to 7.31 billion, to the nearest whole number. [2]

The Smith family paid \$5635 for a holiday in India. Travel : accommodation : entertainment =10:17:8.

(a) Find the percentage spent on entertainment. [2]

(b) Show that accommodation cost \$2737. [2]

(c) The \$5635 was the total received from an investment after 5 years at 2.42% compound interest annually. Find the original investment. [3]

(d) Mr Smith, his wife and three children visit a theme park. Tickets cost 2500 Rupees per adult and 1650 per child. Find the total cost. [2]

(e) The youngest child spends 130 Rupees on sweets. At 1 Rupee=\$0.0152, find the dollar value to the nearest cent. [2]

Marcel invests \$2500 for 3 years at 1.6% per year simple interest. Jacques invests \$2000 for 3 years at x% per year compound interest. They receive the same total interest. Calculate x to 3 significant figures. [5]

In 2013 an energy company charged:

(a(i)) In 90 days the Siddique family used 1885 electricity units. Calculate the total cost in dollars. [2]

(a(ii)) In 90 days the Khan family paid \$198.16 for gas. Calculate the number of units used. [3]

(b) Electricity unit prices increased exponentially by 8% per year for 3 years from 13.5 cents. Find the unit price after 3 years. [2]

(c(i)) Over these 3 years gas unit prices rose from 5.5 to 7.7 cents. Calculate the percentage increase. [3]

(c(ii)) The gas unit price increased exponentially by the same percentage each year. Find this annual percentage. [3]

(d) In 2015 profits of \$390 million were divided shareholders : bonuses : development =5:2:6. Find the shareholders’ amount. [2]

(e) The June 2015 share price \$258.25 was 3.3% higher than the May price. Find the May price. [3]

Annie and Dermot share \$600 in the ratio 11:9.

(a(i)) Show that Annie receives \$330. [1]

(a(ii)) Find Dermot’s share. [1]

(b(i)) Annie invests \$330 at 1.5% annual compound interest for 8 years. Find her final amount to the nearest dollar. [3]

(b(ii)) Find the interest after 8 years as a percentage of \$330. [2]

Dermot has \$70 and spends \$24.75 on a shirt.

(c(i)) Write \$24.75 as a fraction of \$70 in lowest terms. [1]

(c(ii)) \$24.75 is the sale price after a 10% reduction. Find the original price. [3]

Annie’s car loses 20% of its value in year 1, then 15% of its new value in year 2.

(d(i)) Find the overall percentage reduction after 2 years. [2]

(d(ii)) After 3 years the overall reduction is 40.84%. Find the reduction in year 3. [2]

A motorbike worth \$12400 loses 15% of its value each year. Find its value after 3 years. [2]

Adilla invests \$1200 at 2.6% annual compound interest. Find the value after 2 years. [2]

Alex has \$20 and Bobbie \$25.

(a(i)) Find Alex:Bobbie in simplest form. [1]

(a(ii)) Each spends 1/5 of their money. Find the ratio remaining. [1]

(a(iii)) They then each spend \$4. Find the new ratio remaining. [2]

(b(i)) A town’s population was 15600 in 1990 and is now 11420. Find the percentage decrease. [3]

(b(ii)) 15600 was 2.5% less than the 1980 population. Find the 1980 population. [3]

(c) Chris invests \$200 at x% simple interest per year. Total interest after 15 years is \$48. Find x. [2]

(d) Dani invests \$200 at y% annual compound interest. After 10 years it is worth \$256. Find y to 1 decimal place. [3]

(a) Meena sells a car for \$6000 at a loss of 4% of its purchase price. Find the purchase price. [3]

(b) Eisha exchanges euros for \$6000 when \(\text{€}1=\$1.351\). Find the euros exchanged, to the nearest euro. [3]

(c) Meena invests \$6000 at 1.5% annual compound interest. Eisha invests \$6000 at simple interest. After 8 years their balances are equal. Find Eisha’s annual percentage rate. [5]

Omar changes 2000 Saudi Arabian riyals (SAR) into euros (€), when €1 = 5.087 SAR.

Work out how much he receives, correct to the nearest euro. [2]

The world population is estimated to grow at 1.14% per year. On 1 January 2014 it was 7.23 billion.

(a) Find the expected population on 1 January 2020. [2]

(b) Find the year when the population is expected to reach 10 billion. [2]

An experiment starts with 20000 bacteria. The number increases by 30% per hour.

(a) Find the number after 4 hours. [2]

(b) After how many whole hours will the number first be greater than one million? [2]

Kristian and Stephanie share money in the ratio \(3:2\). Kristian receives \$72.

(a(i)) Find how much Stephanie receives. [2]

(a(ii)) Kristian spends 45% of his \$72 on a computer game. Calculate its price. [1]

(a(iii)) He also buys a meal for \$8.40. Find the fraction of his \$72 left, in lowest terms. [2]

(a(iv)) Stephanie buys a book for \$19.20 in a sale after a 20% reduction. Find its original price. [3]

(b) Boris invests \$550 at 2% per year simple interest. Find his total amount after 10 years. [3]

(c) Marlene invests \$550 at 1.9% per year compound interest. Find her total after 10 years. [2]

(d) Hans invests \$550 at \(x\)% per year compound interest. After 10 years he has \$638.30, correct to the nearest cent. Find \(x\). [3]

A toy costs €12 in Germany and 14 Swiss francs in Switzerland. One Swiss franc is worth €0.905.

Calculate the difference in prices, in euros. [2]

(a(i)) Divide \$105 in the ratio 4 : 3. [2]

(a(ii)) Increase \$105 by 12%. [2]

(a(iii)) A jacket is reduced by 16% to \$105. Find its original price. [3]

Jakob invests \$500 at 2% compound interest per year. Claudia invests \$500 at 2.5% simple interest per year.

(b) Find the difference between their investment values after 30 years, to the nearest cent. [6]

Michel invests \$P at 3.8% compound interest per year. After 30 years it is worth \$1469.

(c) Find P. [3]

A city population increases exponentially by x% every 5 years. It was 60100 in 1960 and 120150 in 2015.

(d) Find x. [3]

Each year a car loses 15% of its value at the beginning of that year.

(a(i)) Alberto buys a car for \$18000. Find its value after 3 years. [2]

(a(ii)) Belinda bought a car one year ago. After losing 15%, it is worth \$14025. Find its original price. [3]

Chris invests at 5% compound interest per year. After 2 years it is worth \$286.65.

(b) Find his initial investment. [2]

Dani invests \$200, which becomes \$224.72 after 2 years. Find the annual percentage interest rate for:

(c(i)) simple interest; [3]

(c(ii)) compound interest. [3]

Jaideep builds a house and sells it for \$450000.

(a) Show that a tax of 1.5% of the selling price is \$6750. [1]

(b) This is 12.5% more than the tax on his first house. Calculate that earlier tax. [3]

(c) The rectangular plot measures 21 m by 17 m, both to the nearest metre. Calculate the upper bound of its area. [2]

(d) A plan has scale 1 : 200. Its kitchen area is 5.6 cm². Find the actual kitchen area in m². [2]

(e) Cuboid building blocks measure 12 cm by 16 cm by 27 cm. Find one block’s volume. [2]

(f) Jaideep changes \$12000 into euros at €1 = \$1.33. Find the euros received to the nearest euro. [3]

James buys a drink for €2. Find its cost in pounds at £1 = €1.252, to 2 decimal places. [3]

Georg invests \$5000 for 14 years at 2% compound interest yearly. Calculate the interest received, to the nearest dollar. [4]

(a(i)) Eduardo invests \$640 at 2% per year compound interest. Show his investment after 6 years rounds to \$721. [2]

(a(ii)) Manuela also invests \$640. After 4 years she has \$721. Find her yearly compound interest rate. [4]

(b) Carlos buys a scooter for \$1200. It loses 10% of its value at the start of each year. Find its value after 3 years. [2]

Carlos changes \$950 into euros at €1 = \$1.368. Find how many euros he receives. [2]

Hazel invests \$1800 for 7 years at 1.5% per year compound interest. Find the interest received, to the nearest dollar. [4]

Robert buys a car for \$8000. Its value decreases by 10% of its current value each year. Find its value after 7 years. [2]

Chris exchanges \$1350 for euros at €1 = \$1.313. Find the amount received. [2]

Carlo exchanges €800 at €1 = \$1.50. His holiday is cancelled; exchanging all the dollars back gives €750. Find the new rate in dollars per euro. [3]

Jane and Kate share \$240 in the ratio 5 : 7.

(a) Show Kate receives \$140. [2]

(b) Each spends \$20. Find the ratio of their remaining money, Jane : Kate, in simplest form. [2]

(c) Kate invests \$120 at 4% simple interest per year for 5 years. Find her total amount. [3]

(d) Jane invests \$80 at 4% compound interest per year for 3 years. Find her total to the nearest cent. [3]

(e) \$200 at 4% compound interest for 2 years gives the same total as \$200 at r% simple interest for 2 years. Find r. [3]

Dubai had population 2.1 million at the end of 2012. Predict the population at the end of 2015 with annual growth 6%. [3]

A gift costs €24 or \$30. If €1 = \$1.2378, find the difference in dollars to the nearest cent. [3]

Alex invests \$200 for 2 years at 2% simple interest per year; Chris invests \$200 for 2 years at 2% compound interest. How much more interest does Chris receive? [4]

Alyssa changes 2800 MYR into dollars at 1 MYR = \$0.325. At the end she has \$210 left.

(a) How many dollars did she spend? [2]

(b) She changes \$210 into 750 MYR. Find dollars per MYR. [1]

At \$1 = 8.2 rand, change \$350 to rand. [2]

Maryah borrows \$12000 for 3 years at 5% compound interest per year. Find the total repaid after 3 years. [3]

Martina exchanges 200 Swiss francs (CHF) into euros at €1 = 1.14 CHF. Find the amount she receives, to the nearest euro. [3]

Bruce invests \$420 at 4% per year compound interest. Find the total after 2 years, to 2 decimal places. [3]

Carol invests \$6250 at 2% per year compound interest. Find her total after 3 years. [3]

George pays \$16.95 and Jane pays £11.99 for the same book, at \$1 = £0.626. In dollars, how much more does Jane pay? [2]

Sheila’s hotel bill is €425 or £365 at £1 = €1.14. Which currency makes it cheaper? Show working. [2]

Ali and Ben share money in the ratio 5 : 1. Ali receives \$2345.

(a) Find the total shared. [2]

(b) Ali spends 11% of \$2345 on a television. Find its cost. [2]

Another television costs \$330.

(c(i)) Ben buys it at a 15% discount. Find the sale price. [2]

(c(ii)) \$330 is 12% less than last year’s cost. Find last year’s cost. [3]

(d) Ali invests \$1500 at 2.3% annual compound interest. Find the total after 3 years. [3]

(e) He buys a computer for \$325 and sells it for \$250. Find the percentage loss. [3]

Emily invests \$x at 3% annual simple interest. After 5 years the interest is \$20.10. Find x. [3]

The euro amount received for \$1 changes during the day.

Pam posts three photographs: 13 cm × 23 cm to Australia; 15 cm × 23 cm to China; 23 cm × 35 cm to the UK. Use the postage table to find the total cost.

David sells fruit at a market. In one week he sells 120 kg of tomatoes and 80 kg of grapes.

(a(i)) Write 80 kg as a fraction of the total mass, in lowest terms. [1]

(a(ii)) Give the simplest ratio mass of tomatoes : mass of grapes. [1]

One day he sells 28 kg of oranges at \$1.56 per kilogram and 35 kg of apples, receiving \$86.38 altogether.

(b(i)) Calculate the price of 1 kg of apples. [2]

(b(ii)) The orange price \$1.56 is 20% more than two weeks ago. Find the earlier price. [3]

(c) On another day he receives \$667; the fruit cost \$314.20. He works \(10\tfrac12\) hours. Find his profit per hour. [2]

Last year Mukthar earned \$18 900. The first \$5500 was tax-free and the rest was taxed at 24%.

(a(i)) Calculate his tax. [2]

(a(ii)) Find his monthly earnings after tax. [2]

(b) This year he earns \$19 750.50. Find the percentage increase. [2]

(c) He can invest \$1500 in account A: simple interest 4.1% per year, or account B: compound interest 3.3% per year. Which is worth more after 3 years, and by how much? [5]

Shania invests \$750 for 5 years at \(2\tfrac12\%\) simple interest per year. Find the total amount. [3]

Gregor changes \$700 into euros at €1 = \$1.4131. Find the amount received. [2]

A taxi fare is \$3 plus \$0.40 per kilometre.

(a) A journey costs \$9. Find the distance. [2]

(b) Night fares are 30% higher. Find the night price for this journey. [2]

Boris invests \$280 for 2 years at 3% compound interest per year. Find the interest, to 2 decimal places. [4]

Hans invests \$750 for 8 years at 2% simple interest per year. Find the interest. [2]

Anna, Bobby and Carl share money in the ratio 12 : 7 : 8. Anna receives \$504.

(a) Find the total amount. [3]

(b(i)) Anna uses 7% of \$504 to pay a bill. Find the amount left. [3]

(b(ii)) A coat costs \$64.68 in a sale, 23% below its original price. Find the original price. [3]

(c) Bobby deposits \$250 at 1.6% annual compound interest. Find the amount after 3 years to 2 decimal places. [3]

(d) Carl buys a computer for \$288 and sells it for \$324. Find his percentage profit. [3]

(a) Jen buys a laptop for \$351.55 after a 21% reduction. Find its original price. [3]

(b) Alex invests \$4000 at 8% simple interest for 2 years. Bob invests \$4000 at 7.5% compound interest for 2 years. Who receives more interest, and by how much? [6]

A train fare is 768 baht. The exchange rate is £1 = 48 baht. Calculate the fare in pounds. [2]

Acri invests \$500 for 3 years at 2.8% compound interest per year. Find the final amount. [3]

Samantha invests \$600 for 8 years at 2% simple interest per year. Find the interest. [2]

A meal costs €6 or B\$11.50. At €1 = B\$1.9037, which payment is cheaper? Show working. [2]

Federico converts €400 at €1 = NZ\$2.10, spends x New Zealand dollars and converts the remainder at €1 = NZ\$d. Find the euros received. [3]

Eva invests \$120 at 3% annual compound interest. Find the total after 2 years to 2 decimal places. [3]

Pedro invests \$800 at 5% compound interest per year. Find the total after 2 years. [2]

Alberto exchanges 800 Argentine pesos (ARS) into dollars at \$1 = 3.8235 ARS. He spends \$150 and converts the remaining dollars back at \$1 = 3.8025 ARS. Find the pesos remaining. [3]

Michel converts \$600 to pounds at £1 = \$2.40, then converts all the pounds back at £1 = \$2.60. Find the dollars received. [2]

Ricardo converts \$600 to pounds at \$1 = £0.60, then converts all the pounds back at \$1 = £0.72. Find the dollars received. [2]

Alberto and Maria share \$240 in the ratio 3 : 5.

(a) Show that Alberto receives \$90 and Maria \$150. [1]

(b)(i) Alberto invests \$90 for 2 years at r% per year simple interest. The final amount is \$99. Find r. [2]

(b)(ii) \$99 is 60% of the cost of a holiday. Find the holiday cost. [2]

(c) Maria invests \$150 for 2 years at 4% per year compound interest. Find the exact final amount. [2]

(d)(i) After 20 years at compound interest Maria has \$328.67. Find exactly how much more this is than \$150 invested for 20 years at 4% simple interest. [3]

(d)(ii) Express \$328.67 as a percentage of \$150. [2]

Daniella is 8 and Edward is 12. Their parents give money in the ratio of their ages.

(a)(i) Simplify Daniella’s age : Edward’s age. [1]

(a)(ii) Daniella receives \$30. Show Edward receives \$45. [1]

(a)(iii) Find the percentage of the total received by Edward. [2]

(b) Daniella invests \$30 at 3% yearly compound interest. Find her amount after 2 years, to 2 decimal places. [3]

(c) Edward invests \$30 at r% yearly simple interest. After 5 years he has \$32.25. Find r. [2]

(a) Reina travels 65 km by taxi, paying ¥300 per km plus ¥700 fixed. Find the cost. [2]

(b) She exchanges ¥71190 at NZ\$1 = ¥56.5. Find the New Zealand dollars received. [2]

Johan invests \$600 for 3 years at 4% per year compound interest. Find his final amount. [3]

Nikhil invests \$200 for 2 years at 4% yearly compound interest. Find the exact final amount. [2]

Apricots cost €3.38 per kg in France and £4.39 per kg in the UK. At £1 = €1.04, find the difference in pounds. [2]

An airfare costs S\$740 or RM1900. The rate is S\$1 = RM2.448. How much less does paying in Singapore dollars cost? Give the saving in S\$ to the nearest dollar. [3]