### Inequalities

A bag contains 12 marbles. There are more red than green but green and blue together exceed the reds. The total of yellow and green marbles is more than the total of red and blue. How many of each colour there are in the bag?

### What's it Worth?

There are lots of different methods to find out what the shapes are worth - how many can you find?

### To Run or Not to Run?

If an athlete takes 10 minutes longer to walk, run and cycle three miles than he does to cycle all three miles, how long does it take him?

# Turnips

##### Age 11 to 14 Short Challenge Level:

Baldrick can afford to buy either 6 parsnips and 7 turnips, or 8 parsnips and 4 turnips.

Both options leave him with no change.

If he only bought turnips, how many could he afford?

If you liked this problem, here is an NRICH task that challenges you to use similar mathematical ideas.

This problem is taken from the UKMT Mathematical Challenges.
You can find more short problems, arranged by curriculum topic, in our short problems collection.