Simultaneous equations

There are 55 NRICH Mathematical resources connected to Simultaneous equations

$Overturning fracsum$

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?

problem

All square

Age

11 to 14

Challenge level

Solve the system of equations xy = 1 yz = 4 zx = 9

problem

Building tetrahedra

Age

14 to 16

Challenge level

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

problem

Intersection sudoku 2

Age

11 to 16

Challenge level

A Sudoku with a twist.

problem

Rudolff's problem

Age

14 to 16

Challenge level

A group of 20 people pay a total of £20 to see an exhibition. The admission price is £3 for men, £2 for women and 50p for children. How many men, women and children are there in the group?

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

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

How many balls?

Age

16 to 18

Challenge level

A bag contains red and blue balls. You are told the probabilities of drawing certain combinations of balls. Find how many red and how many blue balls there are in the bag.

problem