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Maths
GCSE

Factorise x^2 + 5x + 6

Firstly, look at the number in front of the x term. This is 5Then look at the number at the end without an x term. This is 6.What 2 numbers would add to make 5, and multiply to make 6?? + ? = 5 ? x ?=6Thi...

Answered by Ravneet M. Maths tutor
2586 Views

A rectangle has sides of length 4x cm and (x+3)cm and has an area less than 112 cm^2, find the set of values x can take

Derive an inequality for the area. 1) As area = width * length then area is 4x * (x+3). 2) Area is less than ( < ) 112 so inequality is 4x* (x+3) < 112. 3) Expan...

Answered by Harry T. Maths tutor
2944 Views

How can I work out the area of a semi-circle with a diameter of 12cm?

For this question we need to remember that the equation to calculate the area of a circle is pi times the radius squared. The radius of a circle is half it's diameter, therefore the radius of the semi-cir...

Answered by Cosima R. Maths tutor
8157 Views

A group of 5 people order 2 8 inch pizzas, with heights 2cm and 1cm, and density 3/pi g/cm^3, and 5/pi g/cm^3 respectively. If they divide each pizza evenly, how much pizza, in grams, does each person eat? Use 1 inch = 2.5 cm.

This is a slightly advanced GCSE question, involving multiple steps. Each step is quite simple however.First, set out the known variables. Note that the 8 inches is the pizza diameter.r = 8*2.5/2 = 20/2 =...

Answered by Ibrahim Q. Maths tutor
2386 Views

Solve the following simultaneous equations: 3x + y = 11, 2x + y = 8

This problem can be solved by using elimination.Label 3x + y = 11 as equation (1) and 2x + y = 8 as equation (2).We first want to eliminate one of the variables so that we can then reach a value for the o...

Answered by Oscar D. Maths tutor
3790 Views

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