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Maths
GCSE

Prove that the square of an odd number is always 1 more than a multiple of 4

(2x-1)2 = 4x2- 4x + 1= 4(x2-x)+1The part of the expression which is: 4(x2-x) indicates that the value is a multiple of 4. The number 1 is then added which means...

GP
Answered by Gokul P. Maths tutor
2864 Views

4y^2 = 256, Find a value for y

y^2 = 256/4 = 64
therefore, y = sqrt(64) = 8

KP
Answered by Kai P. Maths tutor
2935 Views

Solve the simultaneous equations: 2x + y = 12; x - y = 6

We add the two equations together (left-hand sides and right-hand sides separately). By doing this we get: 2x + y + (x - y) = 12 + 6. By rearranging and simplifying: 3x = 18.If we divide both sides by 3 w...

RD
Answered by Rebeka D. Maths tutor
5364 Views

A class of pupils were asked about how they travelled to school on a particular day. 1/6 of the pupils were driven to school in a car. 2/5 of the pupils took the bus. The rest of the pupils walked to school. Calculate the fraction of pupils who walk

The total amount of student would be represented by 1 or 100%. The pupils are split into three categories meaning the total must add up to 1. Therefore to find the remaining pupils who walked to school we...

JZ
Answered by Jane Z. Maths tutor
5664 Views

Write 120 as a product of its prime factor

What are Prime Numbers?
Prime numbers by definition are numbers that cannot be divided by any other number but itself and 1. For e.g. 2 is a prime as it can only be divided by 2 and ...

KP
Answered by Kai P. Maths tutor
24723 Views

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