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### Number and algebra

### Geometry and measure

### Probability and statistics

### Working mathematically

### Advanced mathematics

### For younger learners

# Visualising at KS2

### How Many?

### Seeing Squares

### Holes

### How Would We Count?

### Hundred Square

### Nine-pin Triangles

### Brush Loads

### Snake Coils

### A Puzzling Cube

### Square Corners

### Tumbling Down

### Twice as Big?

### Odd Squares

### Cut Nets

### Arranging Cubes

### Stringy Quads

### Sponge Sections

### Regular Rings 1

### Overlapping Again

### Eight Hidden Squares

### Cubes Within Cubes

### Baravelle

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Young children are often good at imagining - in these tasks we ask them to use their imaginations in a mathematical way.

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

Age 5 to 11

Challenge Level

Have a look at these photos of different fruit. How many do you see? How did you count?

Age 5 to 11

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 square.

Age 5 to 11

Challenge Level

I've made some cubes and some cubes with holes in. This challenge invites you to explore the difference in the number of small cubes I've used. Can you see any patterns?

Age 5 to 11

Challenge Level

An activity centred around observations of dots and how we visualise number arrangement patterns.

Age 5 to 11

Challenge Level

A hundred square has been printed on both sides of a piece of paper. What is on the back of 100? 58? 23? 19?

Age 7 to 11

Challenge Level

How many different triangles can you make on a circular pegboard that has nine pegs?

Age 7 to 11

Challenge Level

How can you arrange the 5 cubes so that you need the smallest number of Brush Loads of paint to cover them? Try with other numbers of cubes as well.

Age 7 to 11

Challenge Level

This challenge asks you to imagine a snake coiling on itself.

Age 7 to 11

Challenge Level

Here are the six faces of a cube - in no particular order. Here are three views of the cube. Can you deduce where the faces are in relation to each other and record them on the net of this cube?

Age 7 to 11

Challenge Level

What is the greatest number of counters you can place on the grid below without four of them lying at the corners of a square?

Age 7 to 11

Challenge Level

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

Age 7 to 11

Challenge Level

Investigate how the four L-shapes fit together to make an enlarged L-shape. You could explore this idea with other shapes too.

Age 7 to 11

Challenge Level

Think of a number, square it and subtract your starting number. Is the number you're left with odd or even? How do the images help to explain this?

Age 7 to 11

Challenge Level

Each of the nets of nine solid shapes has been cut into two pieces. Can you see which pieces go together?

Age 7 to 11

Challenge Level

A task which depends on members of the group working collaboratively to reach a single goal.

Age 7 to 11

Challenge Level

This practical problem challenges you to make quadrilaterals with a loop of string. You'll need some friends to help!

Age 7 to 11

Challenge Level

You have been given three shapes made out of sponge: a sphere, a cylinder and a cone. Your challenge is to find out how to cut them to make different shapes for printing.

Age 7 to 11

Challenge Level

Can you work out what shape is made by folding in this way? Why not create some patterns using this shape but in different sizes?

Age 7 to 11

Challenge Level

What shape is the overlap when you slide one of these shapes half way across another? Can you picture it in your head? Use the interactivity to check your visualisation.

Age 7 to 14

Challenge Level

On the graph there are 28 marked points. These points all mark the vertices (corners) of eight hidden squares. Can you find the eight hidden squares?

Age 7 to 14

Challenge Level

We start with one yellow cube and build around it to make a 3x3x3 cube with red cubes. Then we build around that red cube with blue cubes and so on. How many cubes of each colour have we used?

Age 7 to 16

Challenge Level

What can you see? What do you notice? What questions can you ask?