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Three Squares

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

Two Dice

Find all the numbers that can be made by adding the dots on two dice.

Biscuit Decorations

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?

Always, Sometimes or Never? KS1

Age 5 to 7 Challenge Level:

Are the following statements about number always true, sometimes true or never true?

How do you know?

 
 
What about these statements about shapes?

 

You could cut out each set of cards from this sheet (word, pdf) and arrange them in this grid.

Can you find examples or counter-examples for each one?

For the “sometimes” cards can you explain when they are true? Or rewrite them so that they are always true or never true?
 
The NRICH Project aims to enrich the mathematical experiences of all learners. To support this aim, members of the NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to embed rich mathematical tasks into everyday classroom practice.
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