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Adam can pay for his gym membership in one go at £180 or in monthly sums of £20. Work out the percentage increase of paying monthly to 1 decimal place.

We need to start by working out the price Adam will pay for the entire year if he chooses the monthly option. We do this by multiplying £20 x 12 months = £240. Next we need to find the difference (increase) ...
TN
Answered by Timothy N. • Maths tutor
4405 Views

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

When solving simultaneous equations there are several options, the two most common methods being substitution and elimination. For this example I shall use elimination. In order to do so, either x or y must ...
CG
Answered by Catherine G. • Maths tutor
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Explain the use of the quadratic formula to solve quadratic equations.

To explain this to a student, I would start by explaining the general formula for a quadratic equation, (ax^2 + bx + c = 0). Then I would show using an example, how the a,b and c can be substituted with numb...
TN
Answered by Tom N. • Maths tutor
3402 Views

How would you work out the length of an hypotenuse, if the length of the opposite side is 3 cm and the length of the opposite side is 4 cm?

You would use Pythagoras theorem, which states, a^2 + b^2 = c^2. Where a is the opposite side to the angle, b is the side adjacent to the angle and c is the hypotenuse. So if a = 3 cm, and b = 4 cm, c^2 woul...
OA
Answered by Othniel A. • Maths tutor
4753 Views

Solve the simultaneous equations: 2x+2y=12 x-y=8 You must show your working

The first thing we want to do is change the first equation so it's either all x's or all y's, we don't want a mixture. Now looking at the bottom equation, we can rearrange it by adding y to both sides. This ...
KA
Answered by Kasim A. • Maths tutor
6019 Views