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Tree diagrams can be used to work out probabilities when you have a combination of events happening. The end of the branch displays the outcome of an event and the probability of this event occurring is w...

This I'd set as a higher tier GCSE problem.To begin with I'd draw the shapes so that it's clear what we're working with. Then I'd ask my tutee to work out the areas of the individual shapes--these will be...

p=3a+5/4-a. 1.Times both side by (4-a) in order to remove the denominator. p(4-a)=3a+5. 2. Expand the brackets. 4p-ap=3a+5 3.Now you need to get the two a's on the same side. doesn't matter ...

Based on the straight line equation of y = mx + c, where m is the gradient and c is the y-intercept, 3 would be the gradient and 7 would be the y-intercept.

First of all, we put all the unknowns to the same side. 67x and 12x will be on the left hand side; 13 and -5 are on the right hand side. For the unknowns, when 12x moves from right hand side to the left h...