### A City of Towers

In this town, houses are built with one room for each person. There are some families of seven people living in the town. In how many different ways can they build their houses?

### Knight's Swap

Swap the stars with the moons, using only knights' moves (as on a chess board). What is the smallest number of moves possible?

### The Tall Tower

As you come down the ladders of the Tall Tower you collect useful spells. Which way should you go to collect the most spells?

# How Do You See It?

##### Stage: 1 and 2 Challenge Level:

Here are some little problems.
How would you put them on paper using
- words?
- pictures?
- numbers?
- objects?
- other ways?

Her friend Rajneet gave her two more. How many has Zoe got now?

She gave 3 of them to her little sister. How many dolls has Karala got now?

It was Toby's birthday and he had 6 birthday cards.

The postman brought some more cards for him and Toby now has 9 cards.

How many cards did the postman bring to Toby?

Si had 8 balloons looking bright and bouncy.

Some then popped and he only had 5 left that were bright and bouncy.

Some children were walking to school together.

Three more joined them.

Now there were 9 children altogether.

How many were walking together first of all?

Marcus had some coins in his pocket.

Sadly he lost 7 of them, now he only

has three coins. How many coins

were there before he lost them?