Is there a strategy for always winning a game of 21? It turns out that there is, but what is it and does it matter whether you go first or second? Find out the answers here.
Take the sequence of numbers 1, 1/2, 1/4, 1/8, 1/16, etc where each number is half of the preceding number. What happens if we try to add these together? What is the total sum? Find out in this quick maths article.
Is there a largest prime number, or are there infinitely many primes? We're going to take a look at what prime numbers are and whether a largest one exists or not.
Find out how to measure the height of a tall structure, mountain or any other high object without having to climb it with a tape measure. All of this using the power of mathematics.
A quick maths lesson covering how to draw pie charts from given data. Find out how to calculate the angle of each slice and how to draw them in a circle to construct a pie chart.
Finding the product of 8, 9, 10, 11 and 12 without the use of calculator may seem like a daunting task, but can be made easier with some some simple maths tricks. Find out how to solve this Maths Olympiad question in this article.
We need to find four prime numbers smaller than 100 which are factors of 3^32 − 2^32. Find out how to solve this Maths Olympiad question in this walkthrough article.
Find out how to multiply decimal numbers by whole numbers and by other decimals in this quick maths how-to article.
How can we find the value of 3^9 without using a calculator or even a written method? Find out how in this quick maths article.
Have you ever wondered what the maximum score achievable in ten-pin bowling is? Find the answer to this and how to calculate it in this article.
Have you ever wondered what the probability of hitting the centre of the archery target with a bow and arrow is? In this article we will look at the dimensions of the target and find out just how likely you are to score a perfect 10.
Find out how to simplify algebraic expressions and equations by completing the square in this quick maths how-to article.
Most people have come across prime numbers, but have you heard of twin primes, cousin primes and sexy primes? Read on to find out more about these special primes.
What is pi, how was it calculated and what are some uses for this incredible number? Find out the answers to these and more in this article on the history of pi.
The final question on paper 2 for the Edexcel GCSE maths exam 2023 is definitely a tricky one. Here's how to solve it.
This GCSE maths question has been leaving parents baffled, so we're going to have a look at how to answer it here.
Finding equivalent fractions is useful when comparing fractions or performing fraction arithmetic. Find out how to convert fractions into equivalent forms in this quick guide.
The unexpected hanging paradox (also known as the surprise test paradox) is a problem involving expectations of the timing of a future event, which lead to a rather surprising paradox. Read on to find out more.
A guide to performing basic arithmetic with fractions. Learn how to add, subtract, multiply and divide fractions with each other and with whole numbers.
If a test for a disease comes back positive, what is the actual probability of you being infected? It's often different from what you may think because of a thing called the Base rate fallacy. Find out how this works in this quick maths article.
Did you know that every prime number larger than 3 is only 1 away from a multiple of 6? In this quick maths guide, we are going to prove this surprising fact.
Struggling with integration by parts? Not sure how it works? Find out how to integrate by parts and how to spot when you should integrate by parts in this quick guide.
Have you ever been confused by the sheer amount of choice on a coffee shop menu? What is the difference between a flat white and an Americano with milk? Learn this and more in this quick guide.
Find out how to integrate 1/(e^x + e^-x) with respect to x in this quick how-to maths article.
Roman numerals are still used a surprising amount and most people are comfortable with the basics, but what about writing a large number like 1999 in numerals? Find out how we do this in this quick article.
Liz Truss resigned as the Prime Minister of the UK after only 55 days in office, but is she the shortest serving of all? This article covers British Prime Ministers that served the shortest time.
A quick guide to solving direct proportion questions including finding missing values in tables and solving worded problems.
Make a symmetrical Christmas snowflake using just paper, pencil, a pair of compasses, scissors and a straight edge with these quick instructions. Perfect for homemade Christmas decorations!
Find out all about the Collatz Conjecture, its origins and more in this quick maths article.
Find out how to do long multiplication using Napier's Method, also known as Lattice multiplication, in this quick maths article.
The final question on the 2022 Edexcel GCSE Mathematics paper has been branded as 'impossible' by many people. In this article we take a look at how to solve it.
Learn how to expand a pair of brackets such as (x+1)(x+3) in this quick algebra maths lesson.
Learn how to find the mean, median, mode and range from grouped data in a frequency table in this quick maths article.
Learn how to find the mean, median, mode and range from a frequency table in this quick maths article.
Find out how to calculate the different averages and the range of a group of numbers in this quick maths article all about the mean, median, mode and range.
Find out just how many gifts you would receive if your true love actually gave you all of the gifts from the Twelve Days of Christmas carol.
Find out how to use Pythagoras' theorem to find the length of missing sides on right-angles triangles in this quick maths article.
In this quick maths article we look at how to find the lowest common multiple and highest common factor of two numbers quickly and efficiently using prime factors.
In this quick maths article, find out what prime factors are, how to find them using a factor tree and how any number can be written as a product of prime factors.
In this quick maths article, find out what the angles in a polygon add up to, as well as the difference between interior and exterior angles.
What are the triangular numbers? Find out how the sequence is defined and more interesting facts in this quick maths article.
Ever wondered why circles have 360 degrees? Why not a simpler number such as 10 or 100? Find out some possible reasons in this quick maths article.
How do you factorise quadratic equations quickly and easily? Find out in this quick algebra maths lesson.
Do you know what pi equals? 3.141 ... right? Here's a curious geometric proof that pi equals 2.
Learn how to calculate a percentage of an amount quickly and easily by using the decimal multiplier method.
Learn about Dudeney numbers and how to find them in this quick maths guide.
Learn three ways of solving quadratic equations in this quick maths article, including factorising the equation, completing the square and the quadratic formula.
How do we find the sum of a geometric sequence? Discover how to quickly add up the first terms of a geometric sequence in this quick maths article.
What are hexadecimal numbers, what are they used for and how do we convert them into decimal numbers? Find out all of this and more in this quick math article.
You pull socks out of a drawer, desperately trying to find a matching pair, but all you get are odd socks. How many socks will you need to pull out to be guaranteed a matching pair?
A look at how using the difference of two squares can speed up your mental arithmetic with large numbers.
Zeno's paradox tells the story of a race between the Greek hero Achilles and a tortoise but with a surprising twist. Find out more in this quick article.
It's common knowledge that the square root of two is an irrational number, but how can we prove it? Find out in this quick mathematics article.
Struggling with surds and radicals in fractions? You're not alone. I'll explain it to you. Learn how to rationalize the denominator in this quick high school mathematics article.
When learning about surds/radicals at school, we are always told to rationalise the denominator. But what does this mean and why do we do it? Find out why in this quick mathematics article.
Two criminals have been arrested for a crime, but the police don't have enough evidence to convict. They offer each criminal the chance to reduce their sentence by testifying against the other, but is this the best option? Find out in this quick math article about the prisoner's dilemma.
The village of Smallville and the Intergalactic Gods have both had five metres of boundary rope stolen from their circular cricket pitches. They have vastly different sized pitches, so whose pitch will reduce in radius the most?
Alan has the best scoring average in the first half of the basketball season and the best scoring average for the second half of the season, but when everything is tallied together he finds that it is Brian who has the highest average over the season. Find out how in this quick math article.
A look at Hilbert's Paradox of the Grand Hotel (also known as the 'Infinite Hotel Paradox') which uses hotel rooms to give a new twist to infinite numbers.
What do you think of when you hear the word infinity? Can there be different sizes of infinity? Find out in this quick math article.
Ever wondered why we have leap years? Why do we add an extra day to February every four years? Find out why and learn about the history of calendars and leap years in this article.
If you were asked to add together all of the numbers from 1 to 100, what would you do? Would you go through each number, adding to your total as you went or is there a quicker way? Find out in this article.
Most of us have heard of Fibonacci numbers and know a little about what they are, but what about N-bonacci numbers? In this article we will look at what they are and how they link to the Fibonacci sequence.
The number 'e' is an extremely important number in mathematics and is used in various situations. But what is it? How do we calculate it? Find out in this article.
When dating, should you choose to settle down with the first person you date, or should you get a few dates under your belt before choosing? Find out what the maths says in this fun article about the optimal stopping theory.
A follow up to my original article on influential women in STEM, featuring another five incredible minds whose contribution to science, technology, engineering and maths changed our world forever.
Histoy is full of many inspiring individuals who have worked in the fields of Science, Technology, Engineering and Mathematics (STEM). In this article we take a look at five of the most influential women from this list.
Ever wondered if you should order one large pizza or two medium pizzas? Let some simple mathematics find the answer.
Why does time slow down as you approach the speed of light? Find out why in this article featuring Einstein, space travel, light clocks and more.
Isaac Newton is one of the most influential and famous mathematicians and scientists who has ever lived. In this article read about some of his most well-known and important contributions to the world.
Look at how A4 paper is defined and what makes it so interesting mathematically.
What is Pascal's Triangle, and why is it so interesting? Find out here.
Find out about Paul Erdős, his life and the number that bears his name.
Here is a look at what fractals are and three of the most popular examples: the middle third Cantor Set, the Koch curve, and the Sierpinski triangle.
Learn how the binary system works, how to convert between binary and decimal and why the binary system is so important.
There are many unique numbers beyond the ones we commonly learn about. The more rarely discussed types include vampire numbers, narcissistic numbers and more.
If you have a room full of people, how many handshakes are required before everybody has shaken hands with everybody else exactly once?
This article contains a book review of 'The Andromeda Evolution' by Daniel H.Wilson, a follow-up to the bestselling 'The Andromeda Strain' by Michael Crichton.
This article contains a recipe for my favourite post-workout smoothie containing cacao, maca and banana.
How to use a quick and easy method to multiply by 11 without using a calculator.
How to use a simple mental arithmetic method for quickly multiplying and dividing by 5 in your head.
Differentiation is used to find the rate of change of a mathematical function as its input changes. Read on to find out how to differentiate from first principles.
How to calculate compound interest increases and decreases using the multiplier method.
How many squares of all different sizes are there on a chessboard? Instead of counting them up, we can calculate the answer with a formula.
A look at Bertrand's Paradox, where a seemingly simple probability question yields some very different results.
Wondering how to use scale factors when working with area and volume? Read on for a full explanation of scale factor formulas, plus examples.
How to prove Pythagoras' Theorem using geometry and some simple algebra.
An article about how to find the value of Pi geometrically using regular polygons.
A farmer has 100 meters of fence and wants to make a rectangular enclosure with the largest possible area. What size should the sides of his rectangle be? How do you maximize the area of the rectangle?
How many people do you need to have in a room before you have a better than 50% chance of at least two people sharing a birthday? The answer is surprisingly low.
The Monty Hall Problem (also known as the probability problem with the goats) is a popular example of how intuition can often lead you to make mistakes in probability.
You sit around for ages waiting for a bus and then three come along at once. But why? Find out why buses come in threes in this quick maths article.
This is an article about the probability of winning the National Lottery jackpot or its smaller prizes.
A story about the surprising power of exponential numbers.
For basic fractions, go to the 'Insert' tab and click 'Symbol'. By scrolling down, you will be able to find several simple fractions ready for you to insert.
This is a tutorial on how to hide error values such as N/A in Microsoft Excel.
This is an instructional article on how to use the VLookup Function in Microsoft Excel
Step-by-step instructions for converting a Microsoft PowerPoint slideshow into video, including adding sound.
Love Stephen King? See my review of "Mr. Mercedes," a hard-boiled detective novel that might just be your next page-turner.
Kerrigan in Copenhagen by Thomas E. Kennedy is a guide book to Copenhagen, especially it's drinking establishments, disguised as a novel, following Kerrigan as he meanders from bar to bar, discussing literature, life and jazz.
An outstanding lesson plan for introducing speed-time graphs to your students.
Divorced, beheaded, died. Divorced, beheaded, survived. Read about the one who survived: Katherine Parr, the final wife of Henry VIII.
The Real Ghostbusters - A classic cartoon from the 80s.
The Very Best of Modern Talking, greatest hits album - A review
A short article about my favourite web-based tower defence games.
As a teacher, I regularly catch colds and other bugs. Generally, they're not particularly bad and I can work through them, but sometimes I get hit by a heavy cold and end up with an extremely runny nose. After a day or two this then turns into a...
A list of classic cartoons from my childhood (late 80s, early 90s).
Popularisers of maths, such as Iain Stewart and Marcus de Sautoy, help to bring the magic and wonder of mathematics to everybody, regardless of their level of maths education.
There are a surprisingly large number of hugely popular music acts from Scandinavia. Read on to find out more.
All about my very first console, The Commodore Amiga 600.
A Hubpage all about fantastic A-Team memorabilia. Relive those 80's moments.
This is my favourite quick pasta recipe for when I'm home alone. I'm not much of a cook and I created this at university, so it's simple and easy to do and the ingredients are cheap and commonly found in most kitchens. I often make this if I'm...
The Nightmare Before Christmas - A review of the perfect family Halloween movie.
Shakin' Stevens Greatest Hits - An album review
Rules of Honour by Matt Hilton - A review.
Film review - Flash Gordon, a cult classic movie from the 80's.
My Family and Other Animals by Gerald Durrell - A book review.
Some lesson ideas for teaching the circumference and diameter of a circle. An excellent introduction to pi.
The Traveling Wilburys - Vol. 1, an album review.
Hunky Dory by David Bowie - A Review.
Doctor Who - The Vault, a book review.
The A-Team; my favourite tv program of all time. Relive some classic 80's moments here.
Amadeus - A film review.
'Actually' by the Pet Shop Boys - A review
An article about the classic book 'The Night Before Christmas'.
The Mentalist - One of my favourite detective shows, available on DVD.
Top places to visit in Bruges, Belgium. A list of tourist attractions for visitors to this beautiful Belgian city.
Jurassic Park by Michael Crichton - A book review.
A list of movies inspired by Stephen King novels.
A list of my favourite five Stephen King Novels
A Beginner's Guide to Reality by Jim Baggot - A review.
So you've got your Weebly website up and running using the basic elements such as text and image. Now you're wondering how to use the HTML element. There are many things you can do with this useful element and in this lens I will show some of the...
An article all about my attempt to memorise all of the Presidents of the United States, including some interesting trivia along the way.
Kids love Halloween. It's a great excuse to dress up in a fancy costume and then obviously there's the chocolate and sweets. There are also some great Halloween films out there to get the family in the mood; but what's a good choice for the family?...
A list of some of my favourite cars and other vehicles from classic 80's tv series.
How to make the perfect cold relieving drink using lemon, garlic, ginger and honey.
Having difficulties finding interesting starters for your maths lessons? Then check out the ideas in this article that can help get your students' brains ready for maths with these lesson starters.
A list of my favourite modern thriller writers including Lee Child and Matt Hilton.
A collection of ideas for teaching maths in a fun, hands-on way.
A quick article all about Shrove Tuesday/Pancake day, its history and how to make your own pancakes
A list of great places to visit in Salzburg, Austria; home of Wolfgang Amadeus Mozart.
How to make fried egg in a basket, a delicious snack using eggs and bread.
How to make a fishfinger and cheese toastie sandwich.
How to make delicious chocolate biscuit loaf, ideal for parties or snacking.