problem

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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?

problem

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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?

problem

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### Spotting the loophole

A visualisation problem in which you search for vectors which sum
to zero from a jumble of arrows. Will your eyes be quicker than
algebra?

problem

Favourite

### A question of scale

Use your skill and knowledge to place various scientific lengths in order of size. Can you judge the length of objects with sizes ranging from 1 Angstrom to 1 million km with no wrong attempts?

problem

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### 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?

problem

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### Which is bigger?

Which is bigger, n+10 or 2n+3? Can you find a good method of answering similar questions?

problem

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### Square Number Surprises

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

problem

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### Picture Story

Can you see how this picture illustrates the formula for the sum of the first six cube numbers?

problem

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### Doesn't add up

In this problem we are faced with an apparently easy area problem, but it has gone horribly wrong! What happened?

problem

Favourite

### The Spider and the Fly

A spider is sitting in the middle of one of the smallest walls in a
room and a fly is resting beside the window. What is the shortest
distance the spider would have to crawl to catch the fly?

problem

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### Dating made Easier

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

problem

Favourite

### Areas and Ratios

Do you have enough information to work out the area of the shaded quadrilateral?