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The Mathemagician's Seven Spells

"Tell me the next two numbers in each of these seven minor spells", chanted the Mathemagician, "And the great spell will crumble away!" Can you help Anna and David break the spell?

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Folding, Cutting and Punching

Exploring and predicting folding, cutting and punching holes and making spirals.

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Seven Pots of Plants

There are seven pots of plants in a greenhouse. They have lost their labels. Perhaps you can help re-label them.

Light the Lights Again

Stage: 2 Challenge Level: Challenge Level:1

This problem is similar to Light the Lights, but slightly more tricky. You may like to try that one first.

Here is a machine with four coloured lights. Each light responds to a rule.

When you type in a number, lights go on if their rule is satisfied.
If the number satisfies more than one rule, then more than one colour will light up.

Type in some numbers and see which lights you can switch on.

What is the smallest number which lights up all the lights?