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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...

GA
Answered by Garima A. Maths tutor
3068 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

SP
Answered by Sai P. Maths tutor
2784 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 ....

CW
Answered by Charlie W. Maths tutor
8574 Views

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...

RF
Answered by Ricky F. Maths tutor
12224 Views

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...

RC
Answered by Reece C. Maths tutor
2930 Views

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