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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

Answered by Ian C. Maths tutor
2696 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...

Answered by Ellen K. Maths tutor
4543 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....

Answered by Daniel E. Maths tutor
2740 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

Answered by Sulem M. Maths tutor
2786 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...

Answered by Lucy J. Maths tutor
4177 Views

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