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There are 200 students in Year 10 110 are boys. There are 250 students in Year 11 140 are boys. Which year has the greater proportion of boys? (Taken from Nov 2014 AQA Unit 2)

To work this out we need to calculate the percentage of boys in year 10 and year 11. Then we can compare them to find which year has the greater proportion of boys.For Year 10 there are 110 boys out of 20...

Answered by David S. • Maths tutor

6153 Views

a) You area told that y is proportional to x2 and that when y = 75, x = 5. Find a formula for y in terms of x. y = x b) Find the value of y when x = 3. c) Find the value of x when y = 1200.

a) y is proportional to x^2, when x is 5, y is 75

Therefore: 75 = (something multiplied by) 5^2

75 = 3 x 25

Hence y = 3x^2

b) y = ...

Answered by Kezia M. • Maths tutor

4260 Views

Dipen and Nisha are planning their wedding reception. Nisha says, “I want to invite 70 guests.” Dipen says, “If we invite one-fifth fewer guests, we will save more than £500” Is Dipen correct? (Taken from Nov 2014 AQA Unit 2)

Need to calculate two things in order to answer the question:

1) Total cost of Nisha's 70 guests.

2) Total cost of Dipen's 'one-fifth fewer' guests.

For Nishen...

Answered by Alex N. • Maths tutor

5581 Views

Differentiate y=x*ln(x^3-5)

We can immediately see that more than differentiation rule will be needed here. The expression in question is the product of two smaller expressions, so the product rule may be useful. But to apply the...

Answered by Nat N. • Maths tutor

6668 Views

Find the solutions to x^3+4x^2+x-5=1

These cubic equations are usually fairly simple once the method is known, firstly make the right hand side (RHS) equal to zero by subtracting 1 from both sides:

x^3+4x^2+x-6=0

...

Answered by Luke H. • Maths tutor

4810 Views