Mr Gilderdale is playing a game with his class. What rule might he have chosen? How would you test your idea?

Create a pattern on the left-hand grid. How could you extend your pattern on the right-hand grid?

These spinners will give you the tens and unit digits of a number. Can you choose sets of numbers to collect so that you spin six numbers belonging to your sets in as few spins as possible?

Daisy and Akram were making number patterns. Daisy was using beads that looked like flowers and Akram was using cube bricks. First they were counting in twos.

Make a chair and table out of interlocking cubes, making sure that the chair fits under the table!

Use the interactivity to sort these numbers into sets. Can you give each set a name?

This activity is best done with a whole class or in a large group. Can you match the cards? What happens when you add pairs of the numbers together?

How would you create the largest possible two-digit even number from the digit I've given you and one of your choice?

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

Choose four of the numbers from 1 to 9 to put in the squares so that the differences between joined squares are odd.

Arrange the shapes in a line so that you change either colour or shape in the next piece along. Can you find several ways to start with a blue triangle and end with a red circle?

Kimie and Sebastian were making sticks from interlocking cubes and lining them up. Can they make their lines the same length? Can they make any other lines?

This problem challenges you to find out how many odd numbers there are between pairs of numbers. Can you find a pair of numbers that has four odds between them?

These caterpillars have 16 parts. What different shapes do they make if each part lies in the small squares of a 4 by 4 square?

At the beginning of May Tom put his tomato plant outside. On the same day he sowed a bean in another pot. When will the two be the same height?

Frances and Rishi were given a bag of lollies. They shared them out evenly and had one left over. How many lollies could there have been in the bag?

Andrew decorated 20 biscuits to take to a party. He lined them up and put icing on every second biscuit and different decorations on other biscuits. How many biscuits weren't decorated?

An activity centred around observations of dots and how we visualise number arrangement patterns.

Sweets are given out to party-goers in a particular way. Investigate the total number of sweets received by people sitting in different positions.

In this investigation we are going to count the number of 1s, 2s, 3s etc in numbers. Can you predict what will happen?