Being curious

Can you find six numbers to go in the daisy from which you can make all the numbers from 1 to a number bigger than 25?

By selecting digits for an addition grid, what targets can you make?

Can you find sets of numbers which satisfy each of our mean, median, mode and range conditions?

Can you figure out how sequences of beach huts are generated?

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?

Think of two whole numbers under 10, and follow the steps. I can work out both your numbers very quickly. How?

There are lots of ideas to explore in these sequences of ordered fractions.

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