Search our library of Maths GCSE questions

Top answers

Maths

GCSE

What is completing the square?

Completing the square is a method for rewriting a quadratic expression, and can be useful in identifying the minimum value of the expression. The aim is to end up with an expression which looks like c((x+...

Answered by Lucy F. • Maths tutor

2898 Views

Solve the simultaneous equations 3x+2y=8 and 3y+4x=11

Equal out the x terms so 12x+8y=32 and 9y+12x=33Then subtract the first equation from the secondThis gives y=1Put this value into one of the equations so 12x+8=32Solve the equation giving x as 2.

Answered by Emily P. • Maths tutor

4547 Views

Rearrange the following to make 'm' the subject. 4(m - 2) = t(5m + 3)

The first step is to expand the brackets by multiplication. This can be done using the 'bird method'. This results in 4m – 8 = 5mt + 3tNow to collect all 'm' like terms of the equation on the LHS. This gi...

Answered by Taliesin C. • Maths tutor

4214 Views

Find the value of x which satisfies the following equation 3x^2 +6x+3 = 0

Factorise the equation: (3x+3)(x+1) = 0. Anything multiplied by 0 is equal to 0 therefore (x+1)=0 and (3x+3) = 0. Solve for x: if x+1 =0 you need to subtract 1 from x to work out what x is (do the opposi...

Answered by Aiysha S. • Maths tutor

3114 Views

Ayo is 7 years older than Hugo. Mel is twice as old as Ayo. The sum of their three ages is 77 Find the ratio of Hugo's age to Ayo's age to Mel's age.

Hugo = x Ayo = x + 7 (as he is 7 years old than Hugo's age) Mel = 2 multiplied by (x +7) as she is twice as old as Ayo2) If their ages combined equals 77, you add up all the algebraic equations and...

Answered by Jeenali S. • Maths tutor

5601 Views