Take a look at the system of equations below:

$ab = 1$

$bc = 2$

$cd = 3$

$de = 4$

$ea = 6$

Can you find a set of values {a, b, c, d, e} that satisfy the system?Can you find more than one?

Working systematically. Expanding and factorising quadratics. Polynomial functions and their roots. Inequalities. 2D shapes and their properties. Generalising. Mathematical reasoning & proof. Circle properties and circle theorems. Creating and manipulating expressions and formulae. Simultaneous equations.