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A practical experiment provides data. Moving onto expected results provides a context to establish the multiplication rule in probability, and an intuitive approach to conditional probability.

Imagine a wheel with different markings painted on it at regular intervals. Can you predict the colour of the 18th mark? The 100th mark?

Watch the video to see how to add together an arithmetic sequence of numbers efficiently.

Use your skill and judgement to match the sets of random data.

Investigate the relationship between speeds recorded and the distance travelled in this kinematic scenario.

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?

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?

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?