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Maths Resources (page 8)

 

Stefanos

Oxbridge Interview Question

Sample question:Here is an example of a question which could come up in an Oxford interview. Normally, what happens is that the interviewer will begin with an easier question and then...
Qadeer

How do we find a formula for a simple sequence?

Here is a question:Find the 32nd term of the sequence 6, 11, 16, 21.... 1. Find the difference between the numbers So 11-6 or 21-16 will give 52. 5 is the difference so we have the ...
Jaskaran

Introduction to trigonometry

Trigonometry is the study of the relationship between the sides and angles of triangles, and the ratios between the lengths of the sides.A Triangle has three sides – and depending...
Moustafa Gabriel

The Enigmatic Fibonacci Sequence

The Fibonacci sequence, named after Leonardo Fibonacci, is a series of numbers that starts with 0 and 1, with each subsequent term obtained by adding the two preceding terms. U_n+1 = ...
Michael

Why is 0! = 1 ?

Consider n unique books arranged on a bookshelf. To arrange the books on this bookshelf, there are n books that can go in position 0, on the very left of the shelf. In the next positi...
Stephen

EXERCISE: equations of lines and graph plotting.

1 GEOMETRY: equations of lines and graph plotting. a Find below an empty y-valued table for random x values: x -4 -2 0 2 4 y - - - - -i Fill the table with the corresponding y v...
Michael

What is the antiderivative of 1/x ?

We must find a function f(x) = y such that dy/dx = 1/x .Firstly, treat dy/dx as a fraction, because it is (it is just a small difference in y over a small difference in x). Raising bo...
Wayne

Finding the nth term using the zero term

You can work our the nth term to a sequence by finding the zero term as follows :As an example , using the below sequence: 3 , 9, 15, 21, 27 …….The difference between the ab...
James

Literacy skills in Mathematics

INTRODUCTION.Students who have improved their numeracy are equipped with mathematical knowledge, abilities, behaviours, and attitudes that allow them to tackle issues in a wide ran...
Parampreet

Maths and Music: The unlikely relationship

I discovered the unlikely relationship between mathematics and music during my 2nd year of university, where I was presented with the opportunity to write an essay about any mathemati...
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