Search our library of Maths GCSE questions

Top answers

Maths

GCSE

Solve the equation x^3-5x^2+7x-3=0

First start by considering the x⁰ coefficient which is -3. These include ±3 and ±1. Substituting x=1 into the polynomial produces an answer of 0 which shows that x=1 is a factor of the polynomi...

Answered by Annabelle L. • Maths tutor

6919 Views

The length of a rectangle is five times the width. The area of the rectangle is 1620 cm(squared) Work out the width of the rectangle.

If the length is 5 times the width we can say that length=5a if width=a. We know the equation for: the area of a rectangle= length x width.In this case: area= 5a x a= 5a² and from the question ...

Answered by Sophie J. • Maths tutor

9483 Views

Solve the simultaneous equation: 3x-12y=6 , 18y=9x+10y

To solve this question, we must first understand what a simultaneous equation is = an equation where the variables have the same values. So in this example, x and y are the same in both ...

Answered by Paulina P. • Maths tutor

3132 Views

At a football game number of men : number of women : number of children = 13 : 5 : 7 There are 4152 more men than women. Work out the number of children at the game.

The ratio of men to women at the game is 13:5. The difference between the number of men and women is 4152. Subtract 5 from 13 to work out the difference between the ratio value of men and women. 13-5=8. D...

Answered by James B. • Maths tutor

8027 Views

A t-shirt is in two shops, both of which has it on sale. In shop A, the t-shirt originally cost £15, but has been reduced by 30%. In shop B, it used to cost £17 and has been reduced by 40%. In which shop is the t-shirt now cheaper, and by how much?

Shop A:30%=0.31-0.3=0.715x0.7=10.5 --> now £10.50 in Shop A
Shop B40%=0.41-0.4=0.617x0.6=10.2 --> now £10.20 in Shop B
£10.50-£10.20=£0.30=30p
The t-shirt is now cheaper in Shop B by ...

Answered by Freya R. • Maths tutor

2952 Views