Saying What You See

You and your friends are probably quite good at imagining things and seeing things in lots of different ways. Here you'll put that to use in doing some maths challenges.


Let's Investigate Triangles

Stage: 1 Challenge Level: Challenge Level:1

Vincent and Tara are making triangles with the class construction set. They have a pile of strips of different lengths. How many different triangles can they make?

How Many Pieces?

Stage: 1 Challenge Level: Challenge Level:1

How many loops of string have been used to make these patterns?

Chairs and Tables

Stage: 1 Challenge Level: Challenge Level:1

Make a chair and table out of interlocking cubes, making sure that the chair fits under the table!

So It's 28

Stage: 1 Challenge Level: Challenge Level:1

Here is your chance to investigate the number 28 using shapes, cubes ... in fact anything at all.

Matching Triangles

Stage: 1 Challenge Level: Challenge Level:1

Can you sort these triangles into three different families and explain how you did it?

Poly Plug Rectangles

Stage: 1 Challenge Level: Challenge Level:1

The computer has made a rectangle and will tell you the number of spots it uses in total. Can you find out where the rectangle is?

Poly Plug Pattern

Stage: 1 Challenge Level: Challenge Level:1

Create a pattern on the left-hand grid. How could you extend your pattern on the right-hand grid?

Making Shapes

Stage: 1 Challenge Level: Challenge Level:2 Challenge Level:2

Arrange any number of counters from these 18 on the grid to make a rectangle. What numbers of counters make rectangles? How many different rectangles can you make with each number of counters?

Caterpillars

Stage: 1 Challenge Level: Challenge Level:2 Challenge Level:2

These caterpillars have 16 parts. What different shapes do they make if each part lies in the small squares of a 4 by 4 square?

Building with Cubes

Stage: 1 Challenge Level: Challenge Level:2 Challenge Level:2

Try to picture these buildings of cubes in your head. Can you make them to check whether you had imagined them correctly?

Hundred Square

Stage: 1 Challenge Level: Challenge Level:2 Challenge Level:2

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

Happy Halving

Stage: 1 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

Can you split each of the shapes below in half so that the two parts are exactly the same?

Start Cube Drilling

Stage: 1 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

Imagine a 3 by 3 by 3 cube. If you and a friend drill holes in some of the small cubes in the ways described, how many will have holes drilled through them?

Holes

Stage: 1 and 2 Challenge Level: Challenge Level:1

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?

Sorting Logic Blocks

Stage: 1 and 2 Challenge Level: Challenge Level:1

This interactivity allows you to sort logic blocks by dragging their images.

Four Colours

Stage: 1 and 2 Challenge Level: Challenge Level:2 Challenge Level:2

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.

Two on Five

Stage: 1 and 2 Challenge Level: Challenge Level:2 Challenge Level:2

Take 5 cubes of one colour and 2 of another colour. How many different ways can you join them if the 5 must touch the table and the 2 must not touch the table?

Teddy Town

Stage: 1, 2 and 3 Challenge Level: Challenge Level:2 Challenge Level:2

There are nine teddies in Teddy Town - three red, three blue and three yellow. There are also nine houses, three of each colour. Can you put them on the map of Teddy Town according to the rules?

Square It

Stage: 1, 2, 3 and 4 Challenge Level: Challenge Level:1

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.