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Solve the Inequality X^2 - 2X - 8 < 0

First we need to solve the Inequality, looking at what two numbers add to give -2 and multiply to give -8 we find these to be -4 and +2. So we can now say that (X-4)(X+2)&lt;0. Then I like to draw a quick di...
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Answered by Liam C. • Maths tutor
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AQA, foundation 2016: Lee does a sponsored silence for 2.25 hrs. He is sponsored 80p per minute. How much does he raise?

80p every minute.So how much in 15 mins?How much in an hour?What operation do we use?Easy way to do mental maths - break it up!2.25hrs = 1hr + 1hr + 15 mins80p 60 + 80p 60 + 80p*15?= 4800p + 4800p + 1200p= 1...
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Answered by Garima A. • Maths tutor
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OCR, 2016, Higher Maths: Rationalise the denominator 1/(1+sqrt(3))

First make sure they know are clear on what a rational number isAsk them to try multiplying 1 + sqrt(3) by different values to see how to make it a rational numberE.g. they might try (1+sqrt(3)) 2 ---&gt; se...
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Answered by Garima A. • Maths tutor
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Edexcel, 2016, Foundation Maths GCSE: A running club has 50 members. 30 members take part in road races, 15 members take part in fell races, 12 members do not run in road or fell races. How many members run both fell and road races?

Start with a Venn Diagram. Ask them to draw it out and put the numbers where they think the numbers should go. Talk about overlapping: e.g. imagine two paper circles that overlap. The middle portion is thick...
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Answered by Garima A. • Maths tutor
3632 Views

A rectangle has a total perimeter of 32cm with sides of length '3x' and 'x+8'. Solve for x.

3x + x+ 8 + 3x + x + 8 = 328x + 16 = 328x = 16x = 2
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Answered by Sai P. • Maths tutor
3509 Views