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How do tree diagrams work? Consider: A bag contains 5 red counters and 3 blue counters. James draws a counter from the bag at random and keeps it. James then draws a second counter at random. What is the probability that James takes two red counters?

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 writ...
IM
Answered by Ikhlas M. • Maths tutor
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Anna has 4 cakes. Three of them are squares with sides of length x, and one is rectangular and measures 2 by (3x+2). The total area of all the cakes is 13. What is the length of x?

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 x ...
CP
Answered by Callan P. • Maths tutor
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Rearranging algebraic formula- make a the subject of the formula.

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 if you plus the a...
Answered by • Maths tutor
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What is the gradient and the y-intercept of the graph y = 3x + 7 ?

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.
CB
Answered by Cyro B. • Maths tutor
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Find the set of values for which: x^2 - 3x - 18 > 0

Factorise the equation to find the critical values: x^2 - 3x - 18 > 0 (x-6)(x+3) > 0 Critical values:x - 6 = 0x = 6 x + 3 = 0x = -3 Draw a graph where a parabola (shape of a quadratic equation) interse...
Answered by • Maths tutor
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