Being collaborative

Use your addition and subtraction skills, combined with some strategic thinking, to beat your partner at this game.

Starting with two basic vector steps, which destinations can you reach on a vector walk?

Can you arrange the numbers 1 to 17 in a row so that each adjacent pair adds up to a square number?

This 100 square jigsaw is written in code. It starts with 1 and ends with 100. Can you build it up?

I took the graph y=4x+7 and performed four transformations. Can you find the order in which I could have carried out the transformations?

Can all unit fractions be written as the sum of two unit fractions?

Investigate what happens to the equation of different lines when you translate them. Try to predict what will happen. Explain your findings.

Explore when it is possible to construct a circle which just touches all four sides of a quadrilateral.

10 graphs of experimental data are given. Can you use a spreadsheet to find algebraic graphs which match them closely, and thus discover the formulae most likely to govern the underlying processes?

Investigate what happens to the equations of different lines when you reflect them in one of the axes. Try to predict what will happen. Explain your findings.