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Maths Tutor Bournemouth

Barney Maunder-Taylor

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WHAT’S THE POINT OF USING GREEK LETTERS IN MATHS?

22 December 202329 September 2022 by Barney Maunder-Taylor
Greek letters in maths

AT GCSE: introducing Greek letters (α, β, γ, δ, …) leaves the more familiar Roman letters (a, b, c, d, …) free to represent other quantities and unknowns. To start with, here are two Greek

Tags A-level, Further, GCSE

WHAT’S THE POINT OF CHI-SQUARED GOODNESS OF FIT TEST?

18 December 202323 August 2022 by Barney Maunder-Taylor
Chi-squared Distribution

TARGET AUDIENCE: A-level statistics or A-level Further Maths. A Real World example of a chi-squared test in action follows: this sort of test is extremely useful in a huge range of real-world scenarios!At our board

Tags Further, statistics

WHY DO YOU “KEEP, CHANGE, FLIP” WHEN DIVIDING FRACTIONS?

22 December 202312 August 2022 by Barney Maunder-Taylor
Keep Change Flip

Aimed at: KS3, GCSE and A-level

First we will see why it seems to make sense that you can divide by a fraction by simply flipping it upside down and multiplying; then we will prove it works. 

INTUITIVELY:
Let’s see if we can find a rule for dividing by $\frac{1}{2}$.

Tags A-level, GCSE, Number

HOW MUCH HARDER IS A 2000 PIECE JIGSAW THAN A 1000 PIECE JIGSAW?

18 December 20231 June 2022 by Barney Maunder-Taylor
How Hard is a 2000 piece Jigsaw 1000 pieces?

First of all, it’s easy to see that a 2000 piece jigsaw is more than twice as hard as a 1000 piece jigsaw. To see why: imagine having two 1000 piece jigsaws that are of

Tags A-level, GCSE, Number

Quote of the week: DIFFERENTIATION IS A SKILL. INTEGRATION IS AN ART.

22 December 20232 May 2022 by Barney Maunder-Taylor
Differentiation is a skill Integration is an art

I was delighted to find this quote at the start of Seán M. Stewart‘s book “How to Integrate it“. One of the main differences between GCSE and A-level maths is the introduction of calculus. This

Tags A-level, Calculus, Mathematicians, words

WHAT’S THE POINT OF INTEGRATION BY SUBSTITUTION?

1 April 2022 by Barney Maunder-Taylor
Integration By Substitution

A PUZZLE: which of these shapes is larger: a square of side 7cm or a circle or diameter 8cm? Well that’s easy to answer if you know that the area of a circle is $A=\pi

Tags A-level, Calculus, Geometry

TOP TEN SAMPLING METHODS

22 December 20231 March 2022 by Barney Maunder-Taylor
Top Ten Sampling Methods

A quick reminder: if there are 1200 students at our school, it would be very time-consuming (if not impossible) to interview them all for your Sociology project. Here the population is everyone at the school,

Tags A-level, Calculator, statistics, words

PRODUCT OF PRIME FACTORS – A CALCULATOR SHORTCUT!

18 December 20231 February 2022 by Barney Maunder-Taylor
Product of Prime Factors Calculator Shortcut

Expressing a positive integer (whole number) as the product of prime factors is a bit like dismantling a machine to see what it’s made of. Let’s try it with 26390. Drawing a Prime Factor Tree

Tags Calculator, GCSE, Number

WHAT IS THE “AVERAGE” IN MATHS?

13 March 20242 January 2022 by Barney Maunder-Taylor
What is the Average?

An average is simply a way of picking out a typical value from a set of objects (usually numbers). There are infinitely many different ways to pick a “typical value”, but here are some of

Tags A-level, GCSE, Number, statistics, words

HOW MANY SQUARES ARE THERE IN THIS GRID?

13 March 20241 December 2021 by Barney Maunder-Taylor
How Many Squares?

Before we see the quickest way to answer the question (scroll down if you are an expert!), let’s see some different possible approaches: GCSE APPROACH: There are 16 little squares.There is the one large square

Tags A-level, GCSE, Geometry, Number, Puzzles
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