problem

Favourite

### Arithmagons

Can you find the values at the vertices when you know the values on the edges?

problem

Favourite

### A Chance to Win?

Imagine you were given the chance to win some money... and imagine
you had nothing to lose...

problem

Favourite

### Differences

Can you guarantee that, for any three numbers you choose, the product of their differences will always be an even number?

problem

Favourite

### A little light thinking

Here is a machine with four coloured lights. Can you make two lights switch on at once? Three lights? All four lights?

problem

Favourite

### Standard Index Form Matching

Can you match these calculations in Standard Index Form with their answers?

problem

Favourite

### Pair Products

Choose four consecutive whole numbers. Multiply the first and last numbers together. Multiply the middle pair together. What do you notice?

problem

Favourite

### Warmsnug Double Glazing

How have "Warmsnug" arrived at the prices shown on their windows? Which window has been given an incorrect price?

problem

Favourite

### Plus Minus

Can you explain the surprising results Jo found when she calculated
the difference between square numbers?

problem

Favourite

### Fair Shares?

A mother wants to share a sum of money by giving each of her
children in turn a lump sum plus a fraction of the remainder. How
can she do this in order to share the money out equally?

problem

Favourite

### What's Possible?

Many numbers can be expressed as the difference of two perfect squares. What do you notice about the numbers you CANNOT make?

problem

Favourite

### Attractive Tablecloths

Charlie likes tablecloths that use as many colours as possible, but insists that his tablecloths have some symmetry. Can you work out how many colours he needs for different tablecloth designs?

problem

Favourite

### Pick's Theorem

Polygons drawn on square dotty paper have dots on their perimeter (p) and often internal (i) ones as well. Find a relationship between p, i and the area of the polygons.

problem

Favourite

### Perpendicular lines

Position the lines so that they are perpendicular to each other. What can you say about the equations of perpendicular lines?