International Maths Recap

Factorisation & Expansion

100

Expand and simplify: 

4(x-3)+5

4x-7

200

Factorise completely:

5x² + 10x

5x(x+2)

300

Factorise the quadratic expression:

x² + 5x + 6

(x+2)(x+3)

400

Factorise using the difference of two squares:

x² - 49

(x-7)(x+7)

500

Expand and simplify:

(x+3)(x+5)

x² + 8x + 15

Unit Conversions

100

Convert 3.5 kilometers into meters.

3500 m

200

Convert 438 centimeters into meters, approximately to 2 significant figures.

4.4 m

300

Convert a speed of 10 meters per second into kilometres per hour.

36 km/h

400

A square card has an area of 5 m². What is its area in square centimetres (cm²)?

50000 cm²

500

A car travels at a constant speed of 20 m/s. How many meters does it travel in 12 seconds?

240 m

Interest (Simple & Compound)

100

Find the simple interest earned on $200 invested at a rate of 5% per year for 2 years.

$20

200

Find the simple interest earned on $500 invested at a rate of 3% per year for 4 years.

$60

300

A savings account pays 10% compound interest annually. If you deposit $1,000, what is the total amount in the account after 2 years?

$1210

400

Max invests $100 at a 10% simple interest rate per year. How many years will it take for his investment to earn exactly $50 in interest?

5 years

500

An account starts with $2,000 and earns 5% compound interest annually. Calculate the total value in the account at the end of 2 years.

$2205

Simultaneous Equations

100

Solve for x and y:
x+y=8 

AND

x-y=2

x=5

y=3

200

Solve for x and y:
2x+y=7

AND

x-y=2

x=3

y=1

300

Solve for x and y:
3x+2y=12

AND

x+2y=8

x=2

y=3

400

Solve for x and y:
y=3x

AND

x+y=12

x=3

y=9

500

One notebook (n) and one pen (p) cost $5 total. Two notebooks and one pen cost $8 total. Find the price of one notebook.

n = $3

Geometry (Surface Area, Volume)

100

Find the volume of a cube with a side length of 3 cm.

27 cm³

200

A rectangular box (cuboid) has a length of 5 cm, width of 2 cm, and height of 4 cm. Find its volume.

40 cm³

300

A cylinder has a height of 9 cm. The surface area of the cylinder is 180π cm². Work out the radius of the cylinder.

6 cm

400

A cone and a cylinder are jointed to make a solid shape. The slant height of the cone is 3r, the height of the cylinder is 2r-1 and the radius of the cylinder is r. Show the total surface area of the solid shape is 2πr(4r-1).

QED

500

Cone A has height 18 cm and radius 12 cm. Find the volume of cone A.

2714.336... cm³