Simultaneous equations

problem

Intersection Sudoku 1

Age

11 to 16

Challenge level

A Sudoku with a twist.
problem

Simultaneous Equations Sudoku

Age

11 to 18

Challenge level

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

All-Variables Sudoku

Age

11 to 18

Challenge level

The challenge is to find the values of the variables if you are to solve this Sudoku.
problem

LCM Sudoku II

Age

11 to 18

Challenge level

You are given the Lowest Common Multiples of sets of digits. Find the digits and then solve the Sudoku.
problem

Building Tetrahedra

Age

14 to 16

Challenge level

Can you make a tetrahedron whose faces all have the same perimeter?
problem

Gift of Gems

Age

14 to 16

Challenge level

Four jewellers share their stock. Can you work out the relative values of their gems?
problem

Day of the Triffids

Age

14 to 16

Challenge level

Jasmine buys three different types of plant. How many triffids did she buy?
problem

Polycircles

Age

14 to 16

Challenge level

Show that for any triangle it is always possible to construct 3 touching circles with centres at the vertices. Is it possible to construct touching circles centred at the vertices of any polygon?
problem

Symmetricality

Age

14 to 18

Challenge level

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

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?