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It's Sahila's birthday and she is having a party. How could you answer these questions using a picture, with things, with numbers or symbols?

Watch this animation. What do you see? Can you explain why this happens?

What do you see as you watch this video? Can you create a similar video for the number 12?

What do you think is going to happen in this video clip? Are you surprised?

Some of the numbers have fallen off Becky's number line. Can you figure out what they were?

Can you find any two-digit numbers that satisfy all of these statements?

Can you find pairs of differently sized windows that cost the same?

Can you find a way of counting the spheres in these arrangements?

Find as many different ways of representing this number of dots as you can.

Can you find some examples when the number of Roman numerals is fewer than the number of Arabic numerals for the same number?

This task focuses on distances travelled by the asteroid Florence. It's an opportunity to work with very large numbers.

How would you put these journey lengths in order? Give a bit of a place value challenge with subtractions set out not as a calculation.

This task gives an opportunity to perform some subtractions in a slightly realistic situation.

How do you know whether you will reach these numbers when you count in steps of six from zero?

Who said that adding, subtracting, multiplying and dividing couldn't be fun?

Use the interactivities to fill in these Carroll diagrams. How do you know where to place the numbers?

How have the numbers been placed in this Carroll diagram? Which labels would you put on each row and column?

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 square.

Nine squares are fitted together to form a rectangle. Can you find its dimensions?

The large rectangle is divided into a series of smaller quadrilaterals and triangles. Can you untangle what fractional part is represented by each of the ten numbered shapes?

These eleven shapes each stand for a different number. Can you use the multiplication sums to work out what they are?

What fraction of the black bar are the other bars? Have a go at this challenging task!

This task offers opportunities to subtract fractions using A4 paper.

Are these statements always true, sometimes true or never true?

Are these statements always true, sometimes true or never true?

Are these statements relating to calculation and properties of shapes always true, sometimes true or never true?

Are these statements relating to odd and even numbers always true, sometimes true or never true?

Learn all about Wild Maths and how you can support mathematical creativity in the classroom

Can you describe a piece of paper clearly enough for your partner to know which piece it is?

An environment which simulates working with Cuisenaire rods.

Have a go at making a few of these shapes from paper in different sizes. What patterns can you create?

Can you work out what shape is made when this piece of paper is folded up using the crease pattern shown?

Four of these clues are needed to find the chosen number on this grid and four are true but do nothing to help in finding the number. Can you sort out the clues and find the number?

We usually use squares to measure area, but what if we use triangles instead?

How many ways can you find to put in operation signs (+ - x รท) to make 100?

This brief article, written for upper primary students and their teachers, explains what the Young Mathematicians' Award is and links to all the related resources on NRICH.

Can you minimise the amount of wood needed to build the roof of my garden shed?

A colourful cube is made from little red and yellow cubes. But can you work out how many of each?

Aisha's division and subtraction calculations both gave the same answer! Can you find some more examples?

Can you deduce the perimeters of the shapes from the information given?

For this task, you'll need an A4 sheet and two A5 transparent sheets. Decide on a way of arranging the A5 sheets on top of the A4 sheet and explore ...

What are the possible areas of triangles drawn in a square?

Try out some calculations. Are you surprised by the results?

Match the cumulative frequency curves with their corresponding box plots.

Four strategy dice games to consolidate pupils' understanding of rounding.

This task combines spatial awareness with addition and multiplication.

This challenge combines addition, multiplication, perseverance and even proof.