Exploring and noticing

Investigate and explain the patterns that you see from recording just the units digits of numbers in the times tables.

How have "Warmsnug" arrived at the prices shown on their windows? Which window has been given an incorrect price?

Can you work out how to produce different shades of pink paint?

How do scores on dice and factors of polynomials relate to each other?

Are these games fair? How can you tell?

Use the interactivity to investigate what kinds of triangles can be drawn on peg boards with different numbers of pegs.

Jasmine buys three different types of plant. How many triffids did she buy?

Place the numbers from 1 to 9 in the squares below so that the difference between joined squares is odd. How many different ways can you do this?

In sheep talk the only letters used are B and A. A sequence of words is formed by following certain rules. What do you notice when you count the letters in each word?