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Maths
GCSE

3. (a) State the nth term of each of the following sequences: (i) 3, 7, 11, 15, 19, ....

4n - 1 Find the difference between the numbers and this decides the number infront of n In the sequence, choose 1 to start - 4n - if n = 4 then this gives you 4 but we need 3 so 4n-1 If we test this and p...

CM
Answered by Claudia M. Maths tutor
7779 Views

Expand and simplify (x+3)(x+5)

The easiest method for expanding these brackets is to use the FOIL method of expansion.
This ensures you multiply every aspect of the brackets together.

AD
50242 Views

How to solve simultaneous equations?

Let's say we have two equtions: 3x + y = 8 5x + 2y = 14 In order to solve them, we need to bring one of the coefficients to the same number. Let's say we do that with y. So: 6x + 2y = 16    5x + 2y = 14 N...

KW
Answered by Kamila W. Maths tutor
3285 Views

A metal sphere of radius 15cm is melted down and recast into a solid cylinder of radius 6cm. Calculate the height of the cylinder.

Using the eqauation for volume of sphere (V=4/3 pi r^3) calculate the volume of the original sphere. This comes to 14137.2 cm^3 (1dp). The new cylinder formed has the same volume. Therefore, you can use t...

SK
Answered by Sameerah K. Maths tutor
12760 Views

Solve 2x+3 + ((4x-1)/2) = 10

  1. Divide everything in the brackets by 2.      2x+3 + (2x -1/2) =10

  2. Collect like terms (collect 'x' terms and collect numbers).    2x + 2x + 3 -1/2 = 10

  3. Simplif...

LR
Answered by Lauren R. Maths tutor
6356 Views

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