List

Year 8 Visualising and Representing

Method in multiplying madness?
problem
Favourite

Method in multiplying madness?

Age
7 to 14
Challenge level
filled star filled star empty star
Watch our videos of multiplication methods that you may not have met before. Can you make sense of them?
Frogs
problem
Favourite

Frogs

Age
11 to 14
Challenge level
filled star empty star empty star
How many moves does it take to swap over some red and blue frogs? Do you have a method?
Fence it
problem
Favourite

Fence it

Age
11 to 14
Challenge level
filled star empty star empty star
If you have only 40 metres of fencing available, what is the maximum area of land you can fence off?
Interactive Spinners
problem
Favourite

Interactive Spinners

Age
11 to 14
Challenge level
filled star empty star empty star
This interactivity invites you to make conjectures and explore probabilities of outcomes related to two independent events.
Crossed Ends
problem
Favourite

Crossed Ends

Age
11 to 14
Challenge level
filled star empty star empty star
Crosses can be drawn on number grids of various sizes. What do you notice when you add opposite ends?
Keep it simple
problem
Favourite

Keep it simple

Age
11 to 14
Challenge level
filled star empty star empty star
Can all unit fractions be written as the sum of two unit fractions?
How much can we spend?
problem
Favourite

How much can we spend?

Age
11 to 14
Challenge level
filled star empty star empty star
A country has decided to have just two different coins, 3z and 5z coins. Which totals can be made? Is there a largest total that cannot be made? How do you know?
Charlie's delightful machine
problem
Favourite

Charlie's delightful machine

Age
11 to 16
Challenge level
filled star empty star empty star

Here is a machine with four coloured lights. Can you develop a strategy to work out the rules controlling each light?

Your number was...
problem
Favourite

Your number was...

Age
11 to 14
Challenge level
filled star empty star empty star
Think of a number and follow my instructions. Tell me your answer, and I'll tell you what you started with! Can you explain how I know?
What numbers can we make?
problem
Favourite

What numbers can we make?

Age
11 to 14
Challenge level
filled star empty star empty star

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

Forwards Add Backwards
problem
Favourite

Forwards Add Backwards

Age
11 to 14
Challenge level
filled star empty star empty star
What happens when you add a three digit number to its reverse?
Polygon Rings
problem
Favourite

Polygon Rings

Age
11 to 14
Challenge level
filled star empty star empty star

Join pentagons together edge to edge. Will they form a ring?

Farey Sequences
problem
Favourite

Farey Sequences

Age
11 to 14
Challenge level
filled star filled star empty star
There are lots of ideas to explore in these sequences of ordered fractions.
Stars
problem
Favourite

Stars

Age
11 to 14
Challenge level
filled star filled star empty star
Can you work out what step size to take to ensure you visit all the dots on the circle?
Property chart
problem
Favourite

Property chart

Age
11 to 14
Challenge level
filled star filled star empty star

A game in which players take it in turns to try to draw quadrilaterals (or triangles) with particular properties. Is it possible to fill the game grid?

Route to infinity
problem
Favourite

Route to infinity

Age
11 to 14
Challenge level
filled star filled star empty star
Can you describe this route to infinity? Where will the arrows take you next?
Fibonacci Surprises
problem
Favourite

Fibonacci Surprises

Age
11 to 14
Challenge level
filled star filled star empty star
Play around with the Fibonacci sequence and discover some surprising results!
Rhombus It
problem
Favourite

Rhombus It

Age
11 to 16
Challenge level
filled star filled star empty star

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.