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Maths
GCSE

A sequence increases by 5 each time and the first term is x. The sum of the first four terms is 54. Set up and solve an equation to work out the value of x.

The first term is x, and if it increases by 5 each time then the second term is x+5, third is x+10, and the fourth is x+15.

Adding these values together we get 4x+5+10+15, and this equals...

Answered by Tom P. Maths tutor
9498 Views

The work in an office takes 200 hours to complete every week. Each person in the office works 35 hours a week. What is the smallest number of people needed to complete the work?

To answer this question we need to divide the hours needed to complete work (200) by how much a person works a week (35). The key aspect of this question that catches people out is that when dividing 2...

Answered by Tom P. Maths tutor
5763 Views

Express 0.545454... as a fraction in its simplest form.

First, we are going to give our decimal a name, let's call it x. We notice that x repeats after two digits, so how about we look at 100x.

100x = 54.54545454...

But, the deci...

Answered by Felix S. Maths tutor
29280 Views

Solve x^2-5*x+6=0

There are 2 methods we can use here.

Method 1 - Factorisation

If we can rewrite the equation so that it looks like (x+a)*(x+b)=0, where 'a' and 'b' are numb...

Answered by Hannah D. Maths tutor
7261 Views

expand the brackets (x+5)(x+3) furthermore what are the two values of x

X2+3X+5X+15

Take the first X in the first bracket and multiply by every number or letter in the second bracket.

Take the Second number in the first bracket and mu...

Answered by Shaun W. Maths tutor
9521 Views

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