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Peter’s just finished building a new staircase up to the attic. It just fits along the four-metre-long wall of his lounge room, and it’s three metres tall. It has exactly 15 steps. Peter wants to have a carpet running along the staircase. How long does it need to be?

Sometimes space missions can seem a bit faddish. Four spacecraft are currently orbiting Mars, and at least three missions are looking for new planets outside our solar system. But the new hotness, it seems, is asteroids.

It’s time to push the limits! Can you take it to the maximum and get a high score?

Time to celebrate! For only the second time ever, an Australian has won the most famous prize in mathematics – the Fields Medal. Let’s take a moment to celebrate the achievements of the winner, Akshay Venkatesh.

Can you work out the next letter in this sequence? H, T, Q, F, S, S, E, N, … Hint: There are numbers lurking behind those letters. And as it grows, this sequence is shrinking!

Wholly for your enjoyment, we’ve included several hole-related questions in this quiz. Don’t peek at the answers, or your victory might seem …. hollow!

Learn some fluffy and delicious chemistry by following this marshmallow recipe.

Do you like paper planes? Here’s a different glider to try, made from cups. You might be surprised at the path it takes when it flies!

Imagine your calculator is broken. Although it will still display numbers, only the 4 key, + key, = key and clear key work. Starting at 0, can you get the calculator to display 1000? What’s the fastest way, with the fewest button presses?

Roads are dangerous places for our wildlife. So for many years, we’ve been helping animals out by adding ways to cross safely. There are tunnels and underpasses for wombats and other ground animals. For tree climbers, there are ropeways, strung high above the traffic. But how do gliders cross the road?