*Visualising and Representing is part of our Thinking Mathematically collection.*

### The Number Jumbler

### Treasure Hunt

### Your number is...

### Method in multiplying madness?

### Remainders

### Number Lines in Disguise

### Visualising and Representing - Short Problems

### Starting Fibonacci

### Parallelogram It

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 parallelogram.

### Your number was...

### Perimeter Expressions

### Reflecting Lines

### Picturing Triangular Numbers

### Picturing Square Numbers

### Days and Dates

### How far does it move?

Experiment with the interactivity of "rolling" regular polygons, and explore how the different positions of the dot affects the distance it travels at each stage.

### Translating Lines

### What numbers can we make?

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

### Semi-regular Tessellations

### Growing Surprises

### Diminishing Returns

### Sieve of Eratosthenes

### Island Hopping

### Odds, Evens and More Evens

Alison, Bernard and Charlie have been exploring sequences of odd and even numbers, which raise some intriguing questions...

### Polygon Pictures

### Square It

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.

### Round and round and round

### Squares in a Square

### Fence it

### Constructing Triangles

### Isosceles Triangles

### Painted Octahedron

### Frogs

### Reflecting Squarely

### Bishop's Paradise

Which of the statements about diagonals of polygons is false?

### Fractions Rectangle

### Potatoes

When I looked at the greengrocer's window I saw a sign. When I went in and looked from the other side, what did I see?

### Printing Error

### Shady Symmetry

### Reflected Back

### Searching for mean(ing)

### Rolling Around

### Quadratic Patterns

### Rhombus It

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.

### Always a multiple?

### Cuboid challenge

What's the largest volume of box you can make from a square of paper?

### Quadrilaterals in a Square

### Impossibilities

### More Number Pyramids

When number pyramids have a sequence on the bottom layer, some interesting patterns emerge...

### Same Answer

### Shear Magic

### Opposite vertices

Can you recreate squares and rhombuses if you are only given a side or a diagonal?

### Speeding up, slowing down

Experiment with the interactivity of "rolling" regular polygons, and explore how the different positions of the dot affects its speed at each stage.

### Pythagoras Proofs

Can you make sense of these three proofs of Pythagoras' Theorem?

### Seven Squares - Group-worthy Task

### Fill Me Up

Can you sketch graphs to show how the height of water changes in different containers as they are filled?

### Counting Factors

### Coordinate Patterns

### Squares in rectangles

### Tower of Hanoi

### Legs Eleven

### Route to infinity

### On the Edge

### Triangle Numbers

### Funny Factorisation

### Triathlon and Fitness

### Doubly Symmetric

### Don't Be Late

### Marbles in a box

### Integral Polygons

### Blockupied

### Hamiltonian Cube

Find the length along the shortest path passing through certain points on the cube.

### Seven Squares

### Same Face

### Think of Two Numbers

### Square coordinates

A tilted square is a square with no horizontal sides. Can you devise a general instruction for the construction of a square when you are given just one of its sides?

### Stars

### Night Watchmen

### Turning N Over

### Adjacent Factors

### The Farmers' Field Boundary

### Shapely pairs

A game in which players take it in turns to turn up two cards. If they can draw a triangle which satisfies both properties they win the pair of cards. And a few challenging questions to follow...