Search our library of Maths questions

Top answers

Maths

All levels

How should I divide up my time during the exam?

Use the number of marks as a guide - if the paper is worth 80 marks and you're given 1.5 hours, I'd allocate 1 minute per mark which would give you 10 minutes (or more if you're quick) to check over your ...

Answered by Ruth R. • Maths tutor

3457 Views

The point P has coordinates (3,4). The Point Q has the coordinates (a,b). A line perpendicular to PQ is given by the equation 3x+2y=7. Find an expression for b in terms of a.

As we appreciate the rule 1: gradient of line PQ multiplied by the gradient of the line perpendicular to it equals -1. Formula: m x mn=-1We use this to find the gradient of line PQ:Firstly, we find the gr...

Answered by Richard T. • Maths tutor

5605 Views

Let p(x) =30x^3 - 7x^2 -7x + 2. Prove that (2x+1) is a factor of p(x).

We use the factor theorem which states that (2x+1) is a factor of p(x) if and only if the root of (2x+1)=0 is also a root of p(x). The root of 2x+1=0 is x = -1/2 (-1 from both sides and then divide both s...

Answered by Henry K. • Maths tutor

6934 Views

Factorise h^2 - 36.

Notice that 36 is a square number equivalent to 6² . Can also tell this as the expression contains no coefficients of h so they must cancel each other out. Using this information we can deduce ...

Answered by Ella C. • Maths tutor

2465 Views

Rearrange the following to make c the subject: 11a + 5c = d ( 6 + 2c )

Steps: (1) Multiply out the brackets on the left handside [11a + 5c = 6d + 2dc]. (2) Put all terms containing c on one side and all other terms on the other side of the equation [ 5c - 2dc = 6d - 11a]. (3...

Answered by Jeremy L. • Maths tutor

3131 Views