### What's My Weight?

There are four equal weights on one side of the scale and an apple on the other side. What can you say that is true about the apple and the weights from the picture?

### Pies

Grandma found her pie balanced on the scale with two weights and a quarter of a pie. So how heavy was each pie?

### Oranges and Lemons

On the table there is a pile of oranges and lemons that weighs exactly one kilogram. Using the information, can you work out how many lemons there are?

# Grandpa's Rock Cakes

##### Stage: 2 and 3 Short Challenge Level:
See all short problems arranged by curriculum topic in the short problems collection

Grandpa has made another of his special super-heavy giant rock cakes. At his birthday party, five of the guests tried to guess the weight of the cake.

Their guesses were 5 040g, 5 060g, 5 110g, 5 120g and 5 150g.

Actually, none of them was right. Only two were more than 30 grams out, and those guesses were out by 70g and 90g.

What was the weight of the cake?

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

This problem is taken from the UKMT Mathematical Challenges.