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A selection of enrichment tasks for  the summer term.

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A selection of enrichment tasks for the summer term. The tasks ranging in difficulty and are all based on circles.

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A selection of challenging enrichment tasks for the summer term.

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Junior UKMT practice questions with written explanations alongside the answers.

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Professor Marcus du Sautoy reveals the personalities behind the calculations and argues that maths is the driving force behind modern science.

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BBC Radio 4 Extra - A Brief History of Mathematics - Downloads

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Podcast downloads for A Brief History of Mathematics

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Read about Ian Stewart's shortlist of 17 equations.

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Pythagorean theorem helped us create better maps. We use this theorem to find the shortest distance. It is a useful technique for architecture, woodworking, or other physical construction projects.

Logarithms helped us perform tedious calculations before there weren't any calculators. They are especially evident in science and measurement. When we talk about extremely small and large numbers, we always use logarithms. For instance, when we work on our sensitivity to light, earthquake significances, noise levels in decibels, acidity (pH), money growing with a fixed interest rate, bacteria growing in a petri dish, and radioactive decay, we use logarithms.

Calculus helped us turn away from mysticism and alchemy to rational science. It appears everywhere in modern science and technology whether we are modeling the rise in the fall of the stock market or determining exactly when a space rocket will arrive into Earth's orbit. Basically, calculus created the modern world. It holds incredible power over the physical worlds by modeling and controlling systems. It's the language of medical experts, scientists, engineers, statisticians, physicists, and economists. If a quantity or a system is changing, we can use mathematical modeling of calculus to analyze a system to find an optimal solution and predict the future.

Newton's Law of Gravity helped us understand the movement of the stars and planets. It's a key to understand the divine force, momentum, and many other laws.

The square root of minus 1 was invented to solve equations that have negative roots. Most of our modern tech depends on them. Although many people hated the complex numbers, i² was a great discovery and had a lot to do with the development of quantum mechanics. It brought up ideas that turned out to be very important.

Euler's formula helps us send rockets throughout space and understand DNA replication. It is an essential ingredient in finding solutions for network information. Euler's invention is a new way of thinking about shapes and space. It also provides a clear connection between geometry and the knot structure of a DNA.

Normal distribution transformed how we understand medical trials and how we gamble. It also changed almost all psychological and educational applications of our modern world. Statisticians and scientists use the normal distribution to measure reading ability, job satisfaction, surveys, IQ scores, blood pressure, measurement errors, etc...

It tells us what the Earth is made of and helps us find oil easier. It plays an essential role in electromagnetism, optics, fluid dynamics and heat transfer. Also, it lets us predict future dynamic properties such as energy and impulse.

You see this post thanks to these algorithms because the internet, WiFi, smartphones, computers, routers, almost everything that has a network inside uses Fourier transform algorithms. Fourier transforms are essential in signal processing. We can now compress thousands of information into a tiny dongle.

The Navier-Stokes equations are significant in terms of pure science and mathematics. The equation represents the governing equations of one model of fluid flow. The equation also tells us all the fast things in life can go even faster.

All modern wireless communications that we have today are related to Maxwell's equations. Those equations are the mathematical summary of electromagnetism.

It literally drove the industrial revolution and gives us efficient power generators. It also represents the relationships between heat and energy. For instance, it explains what happens in our cup of tea if we don't drink it for 5 minutes.

The relativity theorem is very important because it answered previously almost all the questions that remained unanswered. It changed the way we look time, space and gravity. It is everything for black holes, the big bang, nuclear power but also GPS on our phones.

This theorem changed the field of quantum physics. It made possible to work on quantum and calculate what would happen next. It is also essential for modern computer chips and lasers and cats.

Information theory means the entire internet. It literally models the human-machine communication process. This theory is now more important than communication itself.

Chaos theory helps us predict the weather better. It's the butterfly's fault for flapping its wings. The equation also predicts the growth rate of the butterfly population.

This equation models the massive growth and profits of the financial sector. Some people believe that the Black-Scholes equation caused the financial crisis of 2008-2009.

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Pythagorean theorem helped us create better maps. We use this theorem to find the shortest distance. It is a useful technique for architecture, woodworking, or other physical construction projects. Logarithms helped us perform tedious calculations before there weren't any calculators. They are especially evident in science and measurement.

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Calculator Number Trick: rectangle patterns

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A family challenge that may involve some research.