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• TLF-IDM025435

Even when a maths problem seems simple – for example, the chance of two people sharing a birthday – the maths can run counter to our human intuition. Mathematician Lily Serna poses a maths problem to the Clovelly Bowling Club: how many people do you need to gather to get a 50 per cent chance of any two people in that group ...

• TLF-IDM015824

How do we know what a house will look like before it is built? Discover how house plans work by looking at the design of a house that Hugo's family is going to build. See how a floor plan shows the room layout. See drawings of what the house will look like from different views.

• TLF-IDM015446

The golden ratio, Phi: fact or fallacy? What about the Fibonacci sequence? We are told this ratio and its cousin Fibonacci occur everywhere in nature. Let's see which of these claims stacks up when put to the test.

• TLF-IDM024910

Explore an alternative way to communicate numbers using the anchor numbers 5 and 10 and the ancient Roman counting system based on letters. Roman numerals were used throughout Europe well into the middle ages and still appear in the names of monarchs, the production year of films, on buildings and on timepieces.

• TLF-IDM021125

What does 'horsepower' really mean? And how do engines work? Join Luke and Abhi from MIT to find out! As Abhi explains, engines produce power by forcing a mixture of fuel and air into a tight space and then burning it. Piston engines and turbine engines do this in similar, yet different ways. After watching this video, ...

• TLF-IDM015933

Count with Dodly and Flynn as they count their clay monsters and their toy dinosaur collection. Count a range of animals including kangaroos, butterflies and whales. Even count backwards as they launch a rocket into space.

• TLF-IDM017686

Are you intrigued by patterns? Check out Vi Hart as she explains how to visualise patterns in prime numbers, using Ulam's Spiral. Watch as Vi creates patterns, using Pascal's Triangle to explore relationships in number. See what happens when she circles the odd numbers. What rule does she use to create the final pattern?

• TLF-IDM024991

How can you place four trees exactly the same distance apart from one other? By making a model! By using miniature trees to make a model of the problem, it becomes clear that a 2D solution is impossible. We learn how objects can help us visualise the problem situation, which in this case requires a 3D solution: a tetrahedron.

• TLF-IDM018748

Do you know how to draw up a budget? Find out how it's done. In our example our host is throwing a circus party and has $100 to spend. See how he plans to spend the money. Throw in a few discounts of 10% and 50% and look what he can afford. Does he mange to stick to his budget?

• TLF-IDM015949

Dodly and Flynn meet while Flynn is building a model volcano. They count snails and toy dinosaurs and show different ways to represent each of the numbers from six to ten through writing, drawing or sharing between two groups. The Super Seven and others also help out.