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### Number and algebra

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### Working mathematically

### For younger learners

### Advanced mathematics

# Symmetry, Substitutions and Surprises

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Simultaneous Equations Sudoku

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Symmetricality

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Always Two

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Mega Quadratic Equations

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Agile Algebra

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Overturning Fracsum

## You may also like

### Making Sense of Statistics

### Integration as Area

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In this feature you will be challenged to exploit the symmetries of a range of equations to derive elegant and efficient solutions to problems which, at first sight, might seem very difficult.

Age 11 to 18

Challenge Level

Solve the equations to identify the clue numbers in this Sudoku problem.

Age 14 to 18

Challenge Level

Five equations and five unknowns. Is there an easy way to find the unknown values?

Age 14 to 18

Challenge 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.

Age 14 to 18

Challenge Level

What do you get when you raise a quadratic to the power of a quadratic?

Age 16 to 18

Challenge Level

Observe symmetries and engage the power of substitution to solve complicated equations.

Age 16 to 18

Challenge Level

Can you solve the system of equations to find the values of x, y and z?

This collection of problems has been put together to help you to explore and understand important ideas in statistics.

These problems invite you to explore integration as area, and use area integrals to solve problems.