Exploring and noticing

This activity challenges you to decide on the 'best' number to use in each statement. You may need to do some estimating, some calculating and some research.

Can you place these quantities in order from smallest to largest?

This activity is based on data in the book 'If the World Were a Village'. How will you represent your chosen data for maximum effect?

A group of children are discussing the height of a tall tree. How would you go about finding out its height?

Try out this number trick. What happens with different starting numbers? What do you notice?

Four bags contain a large number of 1s, 3s, 5s and 7s. Can you pick ten numbers from the bags so that their total is 37?

A hundred square has been printed on both sides of a piece of paper. What is on the back of 100? 58? 23? 19?

What is the greatest number of squares you can make by overlapping three squares?

Use these four dominoes to make a square that has the same number of dots on each side.

How do you know whether you will reach these numbers when you count in steps of six from zero?