The items in the shopping basket add and multiply to give the same amount. What could their prices be?
What is the largest number which, when divided into these five numbers in turn, leaves the same remainder each time?
The sums of the squares of three related numbers is also a perfect square - can you explain why?
Can you find the area of a parallelogram defined by two vectors?
The diagonals of a trapezium divide it into four parts. Can you create a trapezium where three of those parts are equal in area?
Can you work out the probability of winning the Mathsland National Lottery?
A 2-digit number is squared. When this 2-digit number is reversed and squared, the difference between the squares is also a square. What is the 2-digit number?
A hexagon, with sides alternately a and b units in length, is inscribed in a circle. How big is the radius of the circle?
Use the differences to find the solution to this Sudoku.
The illustration shows the graphs of fifteen functions. Two of them have equations $y=x^2$ and $y=-(x-4)^2$. Find the equations of all the other graphs.
