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First we rearrange the equation

y + 4x = 7     to      y = −4x + 7

So we can see that the gradient of this equation is −4.

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There are quite a few stages to this problem, so let's work through each piece of information one by one.

We know that the total number of children is 120, and 60% are Year 4s. Finding 60...

First we rearrange the equation

y + 4x = 7     to      y = −4x + 7

So we can see that the gradient of this equation is −4.

...

To solve these similar equations, we must either first eliminate x or y. There are multiple ways of doing this, one being rearranging one of the equations so that it is either "x=.." or "...

Pythagoras' Theorem is a rule for right-angled triangles which is used to solve problems.

Explanation:

For any right-angled triangle, the longest side (oppo...