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### Number and algebra

### Geometry and measure

### Probability and statistics

### Working mathematically

### For younger learners

### Advanced mathematics

# Year 8 Exploring and Noticing

### Method in Multiplying Madness?

### Your Number Was...

### What Numbers Can We Make?

### Interactive Spinners

### Frogs

### Forwards Add Backwards

### Crossed Ends

### Keep it Simple

### Fence It

### How Much Can We Spend?

### Route to Infinity

### Farey Sequences

### Fibonacci Surprises

### Stars

### Charlie's Delightful Machine

### Rhombus It

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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

Think of a number and follow my instructions. Tell me your answer, and I'll tell you what you started with! Can you explain how I know?

Age 11 to 14

Challenge Level

Imagine we have four bags containing a large number of 1s, 4s, 7s and 10s. What numbers can we make?

Age 11 to 14

Challenge Level

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

Age 11 to 14

Challenge Level

How many moves does it take to swap over some red and blue frogs? Do you have a method?

Age 11 to 14

Challenge Level

What happens when you add a three digit number to its reverse?

Age 11 to 14

Challenge Level

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

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

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

A country has decided to have just two different coins, 3z and 5z coins. Which totals can be made? Is there a largest total that cannot be made? How do you know?

Age 11 to 14

Challenge Level

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

Age 11 to 14

Challenge Level

There are lots of ideas to explore in these sequences of ordered fractions.

Age 11 to 14

Challenge Level

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

Age 11 to 14

Challenge Level

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

Age 11 to 16

Challenge Level

Here is a machine with four coloured lights. Can you develop a strategy to work out the rules controlling each light?

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.