Year 7 Visualising and Representing

The Number Jumbler can always work out your chosen symbol. Can you work out how?

I'm thinking of a number. My number is both a multiple of 5 and a multiple of 6. What could my number be?

Alison, Bernard and Charlie have been exploring sequences of odd and even numbers, which raise some intriguing questions...

15 = 7 + 8 and 10 = 1 + 2 + 3 + 4. Can you say which numbers can be expressed as the sum of two or more consecutive integers?

In how many ways can you fit all three pieces together to make shapes with line symmetry?

Square numbers can be represented as the sum of consecutive odd numbers. What is the sum of 1 + 3 + ..... + 149 + 151 + 153?

Try entering different sets of numbers in the number pyramids. How does the total at the top change?

Can you work out which drink has the stronger flavour?

Follow this recipe for sieving numbers and see what interesting patterns emerge.

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