### What's it Worth?

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

### Turnips

Baldrick could buy 6 parsnips and 7 turnips, or 8 parsnips and 4 turnips. How many parsnips could he buy?

### 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?

# Multiplication Mistake

##### Age 11 to 14 ShortChallenge Level

Using algebra
Let the number that Jane multiplied by be called $n$. Then $54n$ is $198$ more than $45n$.

So $54n=45n+198$, so $54n-45n=198$, so $9n=198$, so $n=198\div9=22$.

Trying different numbers and using proportion
10:    54$\times$10 = 540, 45$\times$10 = 450     difference = 90 which is 9$\times$10

20:   54$\times$20 = 1080, 45$\times$20 = 900    difference = 180 which is 9$\times$20

Need difference of 198 = 9$\times$22, so try 22

22:   54$\times$22 = 1188, 45$\times$20 = 990    difference = 192

Why is it 9 times the number? Because 54 $-$ 45 = 9

You can find more short problems, arranged by curriculum topic, in our short problems collection.