Working systematically

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 ?

A pair of Sudoku puzzles that together lead to a complete solution.

Here is a Sudoku with a difference! Use information about lowest common multiples to help you solve it.

I took the graph y=4x+7 and performed four transformations. Can you find the order in which I could have carried out the transformations?

Jo made a cube from some smaller cubes, painted some of the faces of the large cube, and then took it apart again. 45 small cubes had no paint on them at all. How many small cubes did Jo use?

Can you match up these equivalent algebraic expressions?

If everyone in your class picked a number from 1 to 225, do you think any two people would pick the same number?

Can you work out the probability of winning the Mathsland National Lottery?

The heptathlon is an athletics competition consisting of 7 events. Can you make sense of the scoring system in order to advise a heptathlete on the best way to reach her target?

Andy is desperate to reach John o'Groats first. Can you devise a winning race plan?