Maths Resources (page 12)

Expansion Expanding single brackets In expansion of single brackets term outside the bracket gets multiplied with all the terms inside the brackets. Example : 8 ( a+ b) Here `8` is...

If you factorise the difference of two squared numbers, such as 58^2 - 42^2 you can work out the solution using the following method:1. Add the 2 squared numbers together, in the exa...

What are the prime numbers?There are 8 prime numbers under 20: 2, 3, 5, 7, 11, 13, 17 and 19. ;The first 10 prime numbers are 2, 3, 5, 7, 11, 13, 17, 19, 23, 29.There are 25 p...

The UK maths guru Gareth Metcalf encourages students to use a range of tools to understand and then solve maths word problems. There is an order of tools to be considered when tacklin...

Lots of colleges and universities require prospective students to have a Maths GCSE in order to be eligible for their programmes. The specific grade will depend on the course your chi...

Quick Multiplication Technique for Some Special NumbersEg: (a) 82 88, (b) 65 65, (c) 44 46This Multiplication trick works when sum of digits at units place add up to 10 and othe...

RangeThe range is the difference between the smallest and largest number. e.g. the range of the list 2, 3, 4, 5, 5, 6, 6, 7, 8, 10 is going to be 8, as the largest number is 10 and th...

Probability and statistics are deeply connected because all statistical statements are at bot- tom statements about probability. Despite this the two sometimes feel like very differen...

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...