Can you find the connections between linear and quadratic patterns?
Join pentagons together edge to edge. Will they form a ring?
Aisha's division and subtraction calculations both gave the same answer! Can you find some more examples?
Isometric Areas explored areas of parallelograms in triangular units. Here we explore areas of triangles...
Is there an efficient way to work out how many factors a large number has?
Take any four digit number. Move the first digit to the end and move the rest along. Now add your two numbers. Did you get a multiple of 11?
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: ×2 and -5. What do you think?
Liam's house has a staircase with 12 steps. He can go down the steps one at a time or two at time. In how many different ways can Liam go down the 12 steps?
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.
There are lots of ideas to explore in these sequences of ordered fractions.
