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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

2757 Views

Differentiate cos(2x^3)/3x

Using quotient rule y = u/v - dy/dx = (v.du/dx - u.dv/dx)/v².u = cos(2x³) , a = 2x³. du/da = -sin(a), da/dx = 6x². From chain rule, we know that du/dx = du/da ....

Answered by Charlie W. • Maths tutor

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Differentiate x^2 ln(3x) with respect to x

This question requires the use of differentiation by product rule. First differentiate the first term, whilst keeping the second term the same, i.e. we get 2xln(3x). Secondly we keep the first term the sa...

Answered by Ricky F. • Maths tutor

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