Year 8 Being collaborative

Watch our videos of multiplication methods that you may not have met before. Can you make sense of them?

Play the divisibility game to create numbers in which the first two digits make a number divisible by 2, the first three digits make a number divisible by 3...

If you have only 40 metres of fencing available, what is the maximum area of land you can fence off?

Draw some isosceles triangles with an area of $9cm^2$ and a vertex at (20,20). If all the vertices must have whole number coordinates, how many is it possible to draw?

Discs are flipped in the air. You win if all the faces show the same colour. What is the probability of winning?

This interactivity invites you to make conjectures and explore probabilities of outcomes related to two independent events.

This problem offers you two ways to test reactions - use them to investigate your ideas about speeds of reaction.

Crosses can be drawn on number grids of various sizes. What do you notice when you add opposite ends?

Can all unit fractions be written as the sum of two unit fractions?

Invent a scoring system for a 'guess the weight' competition.

Move your counters through this snake of cards and see how far you can go. Are you surprised by where you end up?

Can you deduce which Olympic athletics events are represented by the graphs?

Generate three random numbers to determine the side lengths of a triangle. What triangles can you draw?

These Olympic quantities have been jumbled up! Can you put them back together again?

Can you work out how these polygon pictures were drawn, and use that to figure out their angles?

Charlie and Abi put a counter on 42. They wondered if they could visit all the other numbers on their 1-100 board, moving the counter using just these two operations: ×2 and -5. What do you think?

Charlie and Alison have been drawing patterns on coordinate grids. Can you picture where the patterns lead?

A monkey with peaches, keeps a fraction of them each day, gives the rest away, and then eats one. How long can his peaches last?

Can you work out what step size to take to ensure you visit all the dots on the circle?

A game in which players take it in turns to turn up two cards. If they can draw a triangle which satisfies both properties they win the pair of cards. And a few challenging questions to follow...

A game in which players take it in turns to try to draw quadrilaterals (or triangles) with particular properties. Is it possible to fill the game grid?

Using your knowledge of the properties of numbers, can you fill all the squares on the board?

Can you describe this route to infinity? Where will the arrows take you next?

My measurements have got all jumbled up! Swap them around and see if you can find a combination where every measurement is valid.

Powers of numbers behave in surprising ways. Take a look at some of these and try to explain why they are true.

Think of a two digit number, reverse the digits, and add the numbers together. Something special happens...

Which countries have the most naturally athletic populations?

Alison and Charlie are playing a game. Charlie wants to go first so Alison lets him. Was that such a good idea?

Play around with the Fibonacci sequence and discover some surprising results!