Maths Resources (page 15)

Often, we want to prove a result holds for all positive integers n. For example, how do we prove that the sum of numbers from 1 to n is n(n+1)/2?First, we prove it firsthand for the f...

Consider a situation where one has a box with identical sides whose length of the side has to be determined given the space, the volume, it occupies. This is a common case in design...

Below is a short math quiz covering maths topics that are needed for A-level chemistry. The answers to the problems can be found at the end of the article. Problem 1The following subs...

A prime number (or a prime) is a natural number greater than 1 that is not a product of two smaller natural numbers.

...

Percentages are an important topic in maths and you need to know how to work them out manually, as well as with the use of a calculator.So 65% of £2000 can be worked out manuall...

Division is Fun (Tests of divisibility) For example: 42 6 = 7Say 42, is exactly divided by 6. It is easy to tell without workout because 6 times 7 is 42, obviously from 6 timetab...

Working out Mixed Number fractions such as 4 1/2 + 3 1/6 Step 1. Add the integers( 4 +3 ) =7 , then you canStep 2. Now add 1/2 and 1/6 which will be 4/6 ( 2/3 simplified)Step3. Add ...

Differential equations can be notoriously difficult to solve. One of the reasons for this is the difficulty faced in integrating functions. Undaunted by difficult integrations, math...

A value that is used for counting, measuring or calculating something is a number. A digit is a symbol used to denote a single number.KINDS OF NUMBERSThere are two main types of numbe...

We may be familiar with the concept of differentiating a function. With the use of calculus becoming popular amongst the scientific community, mathematicians became interested in k...