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### How old am I?

In 15 years' time my age will be the square of my age 15 years ago. Can you work out my age, and when I had other special birthdays?

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### Beelines

Is there a relationship between the coordinates of the endpoints of a line and the number of grid squares it crosses?

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### Power Countdown

In this twist on the well-known Countdown numbers game, use your knowledge of Powers and Roots to make a target.

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### Vector journeys

Charlie likes to go for walks around a square park, while Alison likes to cut across diagonally. Can you find relationships between the vectors they walk along?

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### Factorising with Multilink

Can you find out what is special about the dimensions of rectangles you can make with squares, sticks and units?

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### Where to Land

Chris is enjoying a swim but needs to get back for lunch. How far along the bank should she land?

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### Matchless

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 ?

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### The Legacy

Your school has been left a million pounds in the will of an ex-
pupil. What model of investment and spending would you use in order
to ensure the best return on the money?

problem

Favourite

### Partly Painted Cube

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?

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### Training schedule

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?

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### Difference of Two Squares

What is special about the difference between squares of numbers adjacent to multiples of three?

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### Square Number Surprises

There are unexpected discoveries to be made about square numbers...

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### Dating made Easier

If a sum invested gains 10% each year how long before it has
doubled its value?