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### Advanced mathematics

# Trial and Improvement at KS2

### Zios and Zepts

### Four-digit Targets

### Area and Perimeter

### Fifteen Cards

### Four Colours

### Fractions in a Box

### Cycling Squares

### Daisy

### Factor-multiple Chains

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Simply 'having a go' is a great way to make a start on a mathematical problem. Whatever happens, you will have learnt more about the situation and can then tweak your approach. These activities all lend themselves to this 'trial and improvement' way of working.

This collection is one of our Primary Curriculum collections - tasks that are grouped by topic.

Age 7 to 11

Challenge Level

On the planet Vuv there are two sorts of creatures. The Zios have 3 legs and the Zepts have 7 legs. The great planetary explorer Nico counted 52 legs. How many Zios and how many Zepts were there?

Age 7 to 11

Challenge Level

You have two sets of the digits 0-9. Can you arrange these in the five boxes to make four-digit numbers as close to the target numbers as possible?

Age 7 to 11

Challenge Level

What can you say about these shapes? This problem challenges you to create shapes with different areas and perimeters.

Age 7 to 11

Challenge Level

Can you use the information to find out which cards I have used?

Age 5 to 11

Challenge Level

Kate has eight multilink cubes. She has two red ones, two yellow, two green and two blue. She wants to fit them together to make a cube so that each colour shows on each face just once.

Age 7 to 11

Challenge Level

The discs for this game are kept in a flat square box with a square hole for each. Use the information to find out how many discs of each colour there are in the box.

Age 7 to 11

Challenge Level

Can you make a cycle of pairs that add to make a square number using all the numbers in the box below, once and once only?

Age 7 to 11

Challenge Level

In this game for two players, take it in turns to shade one petal, or two petals next to each other. Is it better to go first or second?

Age 7 to 11

Challenge Level

Can you see how these factor-multiple chains work? Find the chain which contains the smallest possible numbers. How about the largest possible numbers?