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

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This investigates one particular property of number by looking closely at an example of adding two odd numbers together.

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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?

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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?

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Use cubes to continue making the numbers from 7 to 20. Are they sticks, rectangles or squares?

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Use the information to describe these marbles. What colours must be on marbles that sparkle when rolling but are dark inside?

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

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These pictures show squares split into halves. Can you find other ways?

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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?

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This problem looks at how one example of your choice can show something about the general structure of multiplication.

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What can you say about the child who will be first on the playground tomorrow morning at breaktime in your school?