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### Number and algebra

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# Is There a Better Way?

### Butterfly Flowers

### Three Block Towers

### The Tall Tower

### Gathering Gems

### In the Money

### Two Primes Make One Square

### Different Deductions

### Fruity Totals

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The tasks in this feature can be solved in a whole variety of ways and we hope that this will make you curious about different routes to a solution.

When you hear about other people's ways of approaching a problem and try to understand it, your 'toolkit' of methods will be added to, so you will have more to choose from in the future. We hope that giving you the chance to reflect on your problem solving will help you become a more resilient problem solver.

When you hear about other people's ways of approaching a problem and try to understand it, your 'toolkit' of methods will be added to, so you will have more to choose from in the future. We hope that giving you the chance to reflect on your problem solving will help you become a more resilient problem solver.

Age 5 to 7

Challenge Level

Can you find two butterflies to go on each flower so that the numbers on each pair of butterflies adds to the number on their flower?

Age 5 to 7

Challenge Level

Take three differently coloured blocks - maybe red, yellow and blue. Make a tower using one of each colour. How many different towers can you make?

Age 5 to 7

Challenge Level

As you come down the ladders of the Tall Tower you collect useful spells. Which way should you go to collect the most spells?

Age 5 to 11

Challenge Level

Using compass points, can you describe up to ten paths on this map so that you bring as many gems back home as possible?

Age 7 to 11

Challenge Level

One quarter of these coins are heads but when I turn over two coins, one third are heads. How many coins are there?

Age 7 to 11

Challenge Level

Can you make square numbers by adding two prime numbers together?

Age 7 to 11

Challenge Level

There are lots of different methods to find out what the shapes are worth - how many can you find?

Age 7 to 16

Challenge Level

In this interactivity each fruit has a hidden value. Can you deduce what each one is worth?