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Try out some calculations. Are you surprised by the results?
Watch our videos of multiplication methods that you may not have met before. Can you make sense of them?
Alf Coles writes about how he tries to create 'spaces for exploration' for the students in his classrooms.
How many moves does it take to swap over some red and blue frogs? Do you have a method?
Can all unit fractions be written as the sum of two unit fractions?
What happens when you add a three digit number to its reverse?
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?
This interactivity invites you to make conjectures and explore probabilities of outcomes related to two independent events.
Crosses can be drawn on number grids of various sizes. What do you notice when you add opposite ends?
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?
Can you find rectangles where the value of the area is the same as the value of the perimeter?
Imagine we have four bags containing a large number of 1s, 4s, 7s and 10s. What numbers can we make?
Watch these videos to see how Phoebe, Alice and Luke chose to draw 7 squares. How would they draw 100?
The Egyptians expressed all fractions as the sum of different unit fractions. Here is a chance to explore how they could have written different fractions.
Powers of numbers behave in surprising ways. Take a look at some of these and try to explain why they are true.
There are lots of ideas to explore in these sequences of ordered fractions.
Aisha's division and subtraction calculations both gave the same answer! Can you find some more examples?
Charlie and Alison have been drawing patterns on coordinate grids. Can you picture where the patterns lead?
Play around with the Fibonacci sequence and discover some surprising results!
Can you work out what step size to take to ensure you visit all the dots on the circle?
Can you describe this route to infinity? Where will the arrows take you next?
Charlie and Abi put a counter on 42. They wondered if they could visit all the other numbers on their 1-100 board, moving the counter using just these two operations: x2 and -5. What do you think?
Do you notice anything about the solutions when you add and/or subtract consecutive negative numbers?
Here is a machine with four coloured lights. Can you develop a strategy to work out the rules controlling each light?
What's the largest volume of box you can make from a square of paper?