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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

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 th...

Answered by Garima A. • Maths tutor

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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

Answered by Sai P. • Maths tutor

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When solving two simultaneous equations, when should you use the method of elimination and when would you use the method of substitution?

I would first always label the two equations as equation 1 equation 2. I would then look to see if you can cancel one of the variables out by adding or subtracting the two equations together. If this is p...

Answered by Reece C. • Maths tutor

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Use completing the square to find the minimum of y = x^2 - 4x + 8

Remember completing the square gives a result of the form (x+q)² + p where q and p are numbers
Also q is always half of the x term, which in this case is -4, as such q = -2
Substituti...

Answered by Sol D. • Maths tutor

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