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