Copyright © University of Cambridge. All rights reserved.

## 'Cows and Sheep' printed from http://nrich.maths.org/

In this field we could say, because of the number of animals there,
that each cow can see 4 sheep and 3 (other) cows. This could be
worded as follows "Each cow can see one more sheep than cows."
There are obviously 4 sheep and 4 cows in the field as you see
it.

But here are some questions about different fields in which you
have to find out how many sheep and cows there are in each
field.

In field number 1, each cow can see twice as many sheep as cows;
each sheep can see the same number of sheep as cows, so how many
cows and sheep are there?

In field number 2, each cow can see three times as many sheep as
cows; each sheep can see the same number of sheep as cows, so how
many cows and sheep are there?

In field number 3, each cow can see twice as many sheep as cows;
each sheep can see one more sheep than cows, so how many cows and
sheep are there?

In field number 4, each cow can see twice as many sheep as cows;
each sheep can see two more sheep than cows, so how many cows and
sheep are there?

In field number 5, each cow can see three times as many sheep as
cows; each sheep can see twice as many sheep as cows, so how many
cows and sheep are there?