Exploring and noticing

Can you put the numbers 1-5 in the V shape so that both 'arms' have the same total?

Crosses can be drawn on number grids of various sizes. What do you notice when you add opposite ends?

How many shapes can you build from three red and two green cubes? Can you use what you've found out to predict the number for four red and two green?

An investigation that gives you the opportunity to make and justify predictions.

An old game but lots of arithmetic!

This interactivity invites you to make conjectures and explore probabilities of outcomes related to two independent events.

Can you guess the colours of the 10 marbles in the bag? Can you develop an effective strategy for reaching 1000 points in the least number of rounds?

Try continuing these patterns made from triangles. Can you create your own repeating pattern?

The picture shows a lighthouse and some underwater creatures. Can you work out the distances between some of the different creatures?

Which of these triangular jigsaws are impossible to finish?