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Maths
GCSE

A conical vase of base radius 5cm and height 20cm is filled with 200ml of water, how high is the water level? Give your answer to 3 significant figures.

Answer: 2.96 cm

Equations used: Volume of a cone = (base area x height) / 3 ; Base Area = pi x radius2

Volume of whole vase = (pi x 52 x 20)/3 = 523.6 cm3

IC
Answered by Ian C. Maths tutor
3216 Views

Factorise the following equation: 2x^2 + 8x + 8

The first step in factorising is to look for a 'common factor'. A common factor is a number or letter that all the values have in common. 

All the integers (numbers) in this equation can be divided...

EK
Answered by Ellen K. Maths tutor
5209 Views

How do I find the roots of a quadratic equation?

There are a few methods you can use. Here are two methods: 1) Inspection. Say we have the equation x2+4x+3. We can find two numbers which multiply together to make 3 but add together to make 4....

DE
Answered by Daniel E. Maths tutor
3301 Views

A circular table top has diameter 140 cm. Calculate the area of the table top in cm² , giving your answer as a multiple of π.

Area of a circle = π r²

r = (1/2) d = (1/2) * 140 = 70

area         = π * (70)²

                = 4900 π cm²

SM
Answered by Sulem M. Maths tutor
3159 Views

Expand and simplify 2y+3y(5y+3)

Following the laws of BIDMAS, the bracket needs to be multiplied first (instead of adding 2y and 3y first):

2y + 15y2 + 9y

Simplify by addition of the y's...

LJ
Answered by Lucy J. Maths tutor
4704 Views

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