There is a particular value of x, and a value of y to go with it, which make all five expressions equal in value, can you find that x, y pair ?
How many intersections do you expect from four straight lines ? Which three lines enclose a triangle with negative co-ordinates for every point ?
Which is bigger, n+10 or 2n+3? Can you find a good method of answering similar questions?
Can you find the values at the vertices when you know the values on the edges of these multiplication arithmagons?
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?
Five equations and five unknowns. Is there an easy way to find the unknown values?
Change one equation in this pair of simultaneous equations very slightly and there is a big change in the solution. Why?
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.
