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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.
problem
Simultaneous equations Sudoku
Age
11 to 18
Challenge level
Solve the equations to identify the clue numbers in this Sudoku problem.
problem
A change in code
Age
14 to 16
Challenge level
Can you find the percentage increase if the results appear in code?
problem
Symmetricality
Age
14 to 18
Challenge level
Five equations and five unknowns. Is there an easy way to find the unknown values?
problem
Always two
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.
problem
Mega quadratic equations
Age
14 to 18
Challenge level
What do you get when you raise a quadratic to the power of a quadratic?
problem
Agile algebra
Age
16 to 18
Challenge level
Observe symmetries and engage the power of substitution to solve complicated equations.
problem
Overturning fracsum
Age
16 to 18
Challenge level
Can you solve the system of equations to find the values of x, y and z?