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There are three boxes and one has a prize inside. You are told to choose a box. One of the other boxes is then opened, showing that it is empty. You are given the option to switch your choice to the other remaining box. Should you switch? Why?

Let's think of the three boxes as A, B and C. Say we choose box A. There is a 1 in 3 chance that our box has the prize inside, and so a 2 in 3 chance that it does not. When a box is opened and shown to be em...
DA
Answered by David A. • Maths tutor
15170 Views

​What's the difference between the mean, median and mode? Why are there so many different types of average?!

The average we're all familiar with is called the mean average - "add them all together and divide by how many there are", but sometimes another type of average makes more sense.As an example, cons...
JH
Answered by John H. • Maths tutor
15891 Views

How would I solve this set of simultaneous equations using the elimination method?

Solve the following equations for x and y: x + 2y = 4 2x + 3y = 7 We are going to solve this using the elimination method. This means that we are going to either add or subtract the equations from each other...
JU
Answered by Jasmine U. • Maths tutor
5093 Views

How do you work out the old price of an item having been given the new price after a specified percentage change?

These problems can be worked out using the equation: new = old x multiplier Where: new : is the new price of an item old : is the old price of an item (before it was changed) multiplier : is the percentage o...
RT
Answered by Rachael T. • Maths tutor
29958 Views

How do you go about rearranging equations where the required subject appears on both sides? Such as making x the subject of 7x + a = 3x + b.

To rearrange any equation, you must always do the same to both sides. If you take a number from one side, you must also take it from the other. If you divide a side by one number you must divide the other by...
RT
Answered by Rachael T. • Maths tutor
22501 Views