IGCSE Math. Number.

Ratios

100

Simplify the following ratio

    25    :    60  

5 : 12

200

Martha divides $240 between spending and saving in the ratio
spending : saving = 7 : 8 .
Calculate the amount Martha has for spending.

112

300

Ahmed, Batuk and Chand share $1000 in the ratio 

8 : 7 : 5.

Calculate the amount each receives.

A: 400

B: 350

C: 250

400

The download times for the music, films and books are in the ratio
music : films : books = 2 : 9 : 1.
The total download time is 3 hours and 33 minutes.
Calculate the download time for the films.
Give your answer in hours, minutes and seconds.

2 hours 39 mins 45 secs

Percentages

100

A concert hall has 1540 seats.
Calculate the number of people in the hall when 55% of the seats are occupied.

847

200

Maria pays $84 rent.
The rent is increased by 5%.
Calculate Maria’s new rent.

88.2(0)

300

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.

460

400

Alex invests $4000 at a rate of 8% per year simple interest for 2 years.
Bob invests $4000 at a rate of 7.5% per year compound interest for 2 years.
Who receives more interest and by how much?

Alex by 17.5(0)

Indices

100

Find the value of n in the following equation.

2ⁿ = 1024

10

200

Write 2⁸ × 8² × 4^-2 in the form 2n

2¹⁰

300

Simplify

(q²+q²)/(q^0.25 × q^0.25)

2q^1.5

400

Light travels at approximately 300,000 kilometres per second.
One light year is the distance light travels in one year (365 days).
How far is one light year in kilometres?
Give your answer in standard form.

9.46 × 10¹²