1
1 Carlos invests $4540 at a rate of r% per year compound interest.
At the end of 10 years he has earned $1328.54 in interest.
Calculate the value of r.
r = ................................................... [3]
[Total: 3]
2 In a sale, a shop reduces all prices by 12%.
(a) Dina buys a book which has an original price of $6.50 .
Calculate how much Dina pays for the book.
$ ................................................... [2]
(b) Elu pays $11 for a toy.
Calculate the original price of the toy.
$ ................................................... [2]
[Total: 4]
2
3 Feri invests some money.
The rate of interest for the first year is 2.5%.
At the end of the second year the overall percentage increase of Feri’s investment is 6.6%.
Find the rate of interest for the second year.
................................................... % [2]
[Total: 2]
4 Information about the mass, m kg, of each of 150 children is recorded in the frequency table.
Mass (m kg)
Frequency 12 38 32 50 18
(a) Use the frequency table to complete this cumulative frequency table.
Mass (m kg)
Cumulative
frequency
[2]
(b) Calculate the percentage of children with a mass greater than 10 kg.
................................................... % [2]
[Total: 4]
3
5 Arno buys a student ticket for $43.68 .
This is a saving of 16% on the full price of a ticket.
Calculate the full price of a ticket.
$ ................................................... [2]
[Total: 2]
6 The table shows the numbers of tigers reported to be living in the wild in the year 2014 in some countries.
Country Number
India 2226
Indonesia 371
Nepal 198
Bangladesh 106
(a) Using the table,
(i) find the number of tigers in Nepal as a percentage of the number of tigers in Bangladesh,
................................................... % [1]
(ii) find the ratio tigers in Bangladesh : tigers in Indonesia : tigers in India, giving your answer in
its simplest form.
.................... : .................... : .................... [2]
4
(b) Five years later, the number of tigers reported in India was 2967.
Find the percentage increase in the population of tigers in India.
................................................... % [2]
(c) The number of tigers in India in the year 2014 is approximately 30.48% greater than in the year 2010.
Find the number of tigers in India in the year 2010.
Give your answer correct to the nearest integer.
................................................... [3]
[Total: 8]
7 Meera invests $700 in an account paying compound interest at a rate of r % per year.
At the end of 17 years the value of her investment is $1030.35 .
Find the value of r.
r = ................................................... [3]
[Total: 3]
5
8 One year, a company’s sales increased by 15%.
The following year the company’s sales increased by 18%.
Calculate the overall percentage increase in sales.
................................................... % [3]
[Total: 3]
9 In a sale, the price of a frame is reduced by 18%.
Parthi pays $166.05 for 5 frames in the sale.
Calculate the original price of one frame.
$ ................................................... [2]
[Total: 2]
10 Sand costs $98.90 per tonne.
This cost includes a tax of 15%.
Calculate the amount of tax paid per tonne of sand.
$ ................................................... [3]
[Total: 3]
6
11 Paddy and Anna each invest $2000 for 5 years.
Paddy earns simple interest at a rate of 1.25% per year.
Anna earns compound interest at a rate of r % per year.
At the end of 5 years, Paddy’s investment is worth the same as Anna’s investment.
Calculate the value of r.
r = ................................................... [5]
[Total: 5]
12 Arjun earned $36 515 in 2019.
This was an increase of 9% on his earnings in 2018.
Work out his earnings in 2018.
$ ................................................... [2]
[Total: 2]
13 In a sale the original prices are reduced by 15%.
(a) Calculate the sale price of a book that has an original price of $12.
$ ................................................... [2]
7
(b) Calculate the original price of a jacket that has a sale price of $38.25 .
$ ................................................... [2]
[Total: 4]
14 Edna invests $500 at a rate of r % per year compound interest.
At the end of 6 years, the value of Edna’s investment is $559.78 .
Find the value of r.
r = ................................................... [3]
[Total: 3]
8
15 Shona buys a chair in a sale for $435.60 .
This is a reduction of 12% on the original price.
Calculate the original price of the chair.
$ ................................................... [3]
[Total: 3]
16 There were 3.08 × 105 passengers that made a journey in 2018.
This was a 12% decrease in the number of passengers that made the same journey in 2017.
Find the number of passengers that made this journey in 2017.
Give your answer in standard form.
................................................... [3]
[Total: 3]
9
17 Eric invests an amount in a bank that pays compound interest at a rate of 2.16% per year.
At the end of 5 years, the value of his investment is $6999.31 .
Calculate the amount Eric invests.
$ ................................................... [3]
[Total: 3]
18 In a sale, Marianne buys a new camera for $483.
This is a reduction of 8% on the original price.
Calculate the original price of the camera.
$ ................................................... [3]
[Total: 3]
19 Since a school was opened, the number of students has increased by 60%.
There are now 240 students.
Calculate the number of students when the school was opened.
................................................... [3]
[Total: 3]
10
20 After rain, water flows over a waterfall at a rate of 74 240 litres per second.
This is an increase of 45% on the rate before the rain.
Calculate the rate before the rain.
.............................. litres/second [3]
[Total: 3]
21 A company makes biscuits at a cost of $1.35 per packet.
These biscuits are sold for $1.89 per packet.
(a) Calculate the percentage profit the company makes on each packet.
................................................... % [3]
(b) The selling price of $1.89 has increased by 8% from last year.
Calculate the selling price last year.
$ ................................................... [3]
[Total: 6]
11
22 Rowena sells a dress for $42.60 after making a profit of 20% on the cost price.
Calculate the cost price.
$ ................................................... [3]
[Total: 3]
23 A shop sells dress fabric for $2.97 per metre.
(a) A customer buys 9 metres of this fabric.
Calculate the change he receives from $50.
$ ................................................... [2]
(b) The selling price of $2.97 per metre is an increase of 8% on the cost price.
Calculate the cost price.
$ ................................................... per metre [3]
[Total: 5]
12
24 In 2017, the membership fee for a sports club was $79.50 .
This was an increase of 6% on the fee in 2016.
Calculate the fee in 2016.
$ ................................................... [3]
[Total: 3]
25 Jasjeet and her brother collect stamps.
When Jasjeet gives her brother 1% of her stamps, she has 2475 stamps left.
Calculate how many stamps Jasjeet had originally.
Answer ................................................... [3]
[Total: 3]
26 Anita buys a computer for $391 in a sale.
The sale price is 15% less than the original price.
Calculate the original price of the computer.
Answer $ ................................................... [3]
[Total: 3]
13
27 (a) Jan buys tins of paint for $17.16 each.
He sells the paint at a profit of 25%.
For how much does Jan sell each tin of paint?
Answer(a) $ ......................................... [2]
27 (b) The cost of $17.16 for each tin of paint is 4% more than the cost in the previous year.
Work out the cost of each tin of paint in the previous year.
Answer(b) $ ......................................... [3]
[Total: 5]
28 The price of a computer is $520.
This price is reduced by 15% in a sale.
Work out the sale price.
$ ...................................................... [2]
[Total: 2]
14
29 Lin invests $16 000 at a rate of r % per year simple interest.
At the end of 5 years, she has a total amount of $17 920.
Find the value of r.
r = ................................................... [3]
[Total: 3]
30 The price of a coat is $126.
In a sale, this price is reduced by 18%.
Find the sale price of the coat.
$ ................................................... [2]
[Total: 2]
31 A meal costs $110 plus a service charge of 18%.
Calculate the total cost of the meal.
$ ................................................... [2]
[Total: 2]
15
32 Antonio buys beach balls for $2.50 each and sells them for $4.20 each.
Work out the percentage profit he makes on each beach ball.
................................................... % [2]
[Total: 2]
33 Ahmed owns a company.
(a) Each year he earns $56 000 plus 3% of the year’s profit.
Calculate the amount he earns in a year when the profit is $320 600.
$ ................................................... [2]
(b) In the following year the profit is $347 851.
Calculate the percentage increase in the profit.
................................................... % [2]
[Total: 4]
16
34 Ahmed borrows $8000 for 3 years at a rate of 5% per year compound interest.
Calculate the amount of interest he will pay at the end of the 3 years.
$ ................................................... [3]
[Total: 3]
35 Sanjay invests $700 in an account paying simple interest at a rate of 2.5% per year.
Calculate the value of his investment at the end of 6 years.
$ ................................................... [3]
[Total: 3]
36 In 2020, 2.6 tonnes of barley is grown.
In 2021, 3.25 tonnes of barley is grown.
Show that the percentage increase in barley grown from 2020 to 2021 is 25%.
[1]
[Total: 1]
17
37 In 2019, 2.4 tonnes of corn is grown.
In 2020, 20% more corn is grown than in 2019.
In 2021, 20% less corn is grown than in 2020.
Calculate the amount of corn grown in 2021.
................................................... tonnes [3]
[Total: 3]
38 A company employed 300 workers when it started and now employs 852 workers.
Calculate the percentage increase in the number of workers.
................................................... % [2]
[Total: 2]
39 Chung invests $2460 at a rate of 3.5% per year simple interest.
Calculate the total amount of his investment at the end of 4 years.
$ ...................................................... [3]
[Total: 3]
18
40 Annie invests $8300 at a rate of 5.6% per year compound interest.
Calculate the value of her investment at the end of 6 years.
$ ...................................... [2]
[Total: 2]
