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Question: Line A has a gradient of 4 and passes through point (5,6). Line B passes through points C (0,5) and D (2,0). Find the coordinates of the point where the two lines intersection. Solution: First of a...

In general, we could apply the formula to work out the solutions of a quadratic function ax 2 +bx+c=0. The b 2 -4ac part is called the discriminant and the value of a discriminant could allow us to know the ...

Take this problem as an example: 5 white socks and 3 black socks are in a drawer. Stefan takes out two socks at random. Work out the probability that Stefan takes out two socks of the same colour without rep...

Composite functions can be thought of as 'functions within functions'. For example, let's suppose that f(x) = x 3 g(x) = x + 5 defined for all real numbers. (Note: composite functions may have a different no...

Why do I have to add +c when I integrate? First of all remember that you only need to include the +c if you are integrating without limits (ie you don’t have the two numbers at the top and bottom of the inte...