# Efficient and Elegant Algebra

In this feature students will have the opportunity to explore the properties of consecutive numbers, use algebra to justify their findings, and exploit the symmetries of equations in order to find efficient and elegant strategies.  We hope that students will enjoy discovering that algebra can be a versatile tool for solving a range of problems.

The last date for submitting solutions to the live problems is Monday 11th July.

You can watch a recording of the webinar in which we discussed the mathematical thinking which can be prompted by these activities.

### Simultaneous Equations Sudokulive

##### Age 11 to 18Challenge Level
Solve the equations to identify the clue numbers in this Sudoku problem.

### A Change in Codelive

##### Age 14 to 16Challenge Level
Can you find the percentage increase if the results appear in code?

### Symmetricalitylive

##### Age 14 to 18Challenge Level
Five equations and five unknowns. Is there an easy way to find the unknown values?

### Always Twolive

##### Age 14 to 18Challenge Level
Find all the triples of numbers a, b, c such that each one of them plus the product of the other two is always 2.

### Mega Quadratic Equationslive

##### Age 16 to 18Challenge Level
What do you get when you raise a quadratic to the power of a quadratic?

### Agile Algebralive

##### Age 16 to 18Challenge Level
Observe symmetries and engage the power of substitution to solve complicated equations.

### Overturning Fracsumlive

##### Age 16 to 18Challenge Level
Can you solve the system of equations to find the values of x, y and z?