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How do I use Pythagoras?

Pythagoras theorum is used to identify the lengths of any side on a right angle triangle. The theorem is as follows: a 2 + b 2 = c 2 We assume that the hypotenuse (side opposite the right angle) is C. Theref...
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Answered by Abbie W. • Maths tutor
3754 Views

A book was reduced by 35% in a sale. It's new price is £16. What was the original price ?

Begin by looking at the percentage reduction: 100% - 35% = 65% Therefore, 65% = £16 (as this was the price it was reduced to) 1% = £16 ÷ 65 = 0.2462 So to find the original price it would be 100%; and so you...
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Answered by David W. • Maths tutor
7716 Views

How do I solve simultaneous equations?

When given two simultaneous equations, the first step is to make the factor of one letter equal in both equations. For example, in the example below, we will try to make both equations contain '2b': 6a + b =...
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Answered by Lois B. • Maths tutor
3893 Views

Factorise 3x^2 + 15x

To factorise an equation you need to look for factors that all the elements of the equation (3x^2 and 15x) have in common. You can do this all at one or in steps, to start with you can see that both parts ha...
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Answered by Eve F. • Maths tutor
15397 Views

A "day return" train ticket is £6.45. A "monthly saver" is £98.50. Sue worked for 18 days last month. She bought a day return ticket each day she worked. A monthly saver ticket is cheaper than 18 day return tickets. How much cheaper?

This is a simple GCSE question which might feature at the beginning of the paper. It tests the student's attention to detail by asking to find the DIFFERENCE and not just the price that Sue paid. Also, given...
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Answered by Ecaterina A. • Maths tutor
6094 Views