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### Number and algebra

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### Advanced mathematics

# Year 8 Being Collaborative

### Sociable Cards

### American Billions

### Olympic Records

### Place Your Orders

### Fence It

### Constructing Triangles

### Isosceles Triangles

### Olympic Measures

### Reaction Timer

### Keep it Simple

### How Would You Score It?

### Who's the Best?

### Coordinate Patterns

### Peaches Today, Peaches Tomorrow...

### Shapely Pairs

### Rhombus It

### Property Chart

### Transformation Game

### Route to Infinity

### Method in Multiplying Madness?

### All in a Jumble

### Power Mad!

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Age 11 to 14

Challenge Level

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

Age 11 to 14

Challenge Level

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...

Age 11 to 14

Challenge Level

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

Age 11 to 14

Challenge Level

Can you rank these sets of quantities in order, from smallest to largest? Can you provide convincing evidence for your rankings?

Age 11 to 14

Challenge Level

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

Age 11 to 14

Challenge Level

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

Age 11 to 14

Challenge Level

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

Age 11 to 14

Challenge Level

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

Age 11 to 14

Challenge Level

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

Age 11 to 14

Challenge Level

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

Age 11 to 14

Challenge Level

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

Age 11 to 14

Challenge Level

Which countries have the most naturally athletic populations?

Age 11 to 14

Challenge Level

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

Age 11 to 14

Challenge Level

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?

Age 11 to 14

Challenge Level

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...

Age 11 to 16

Challenge Level

Players take it in turns to choose a dot on the grid. The winner is the first to have four dots that can be joined to form a rhombus.

Age 11 to 14

Challenge Level

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?

Age 11 to 14

Challenge Level

Why not challenge a friend to play this transformation game?

Age 11 to 14

Challenge Level

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

Age 7 to 14

Challenge Level

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

Age 11 to 14

Challenge Level

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

Age 11 to 14

Challenge Level

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