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### Number and algebra

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### Working mathematically

### For younger learners

### Advanced mathematics

# Secondary Students' Solutions

### Have You Got It?

### Wipeout

### M, M and M

### Charlie's Delightful Machine

### Pick's Theorem

### Tilted Squares

### Add to 200

### Cyclic Quadrilaterals

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Take a look at these recently solved problems.

Age 11 to 14

Challenge Level

Can you explain the strategy for winning this game with any target?

Age 11 to 16

Challenge Level

Can you do a little mathematical detective work to figure out which number has been wiped out?

Age 11 to 14

Challenge Level

If you are given the mean, median and mode of five positive whole numbers, can you find the numbers?

Age 11 to 16

Challenge Level

Here is a machine with four coloured lights. Can you develop a strategy to work out the rules controlling each light?

Age 14 to 16

Challenge Level

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.

Age 11 to 14

Challenge Level

It's easy to work out the areas of most squares that we meet, but what if they were tilted?

Age 11 to 14

Challenge Level

By selecting digits for an addition grid, what targets can you make?

Age 11 to 16

Challenge Level

Draw some quadrilaterals on a 9-point circle and work out the angles. Is there a theorem?