Being curious
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problemFavouriteAbout Average
Can you find sets of numbers which satisfy each of our mean, median, mode and range conditions?
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problemFavouriteLegs Eleven
Take any four digit number. Move the first digit to the end and move the rest along. Now add your two numbers. Did you get a multiple of 11?
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problemFavouriteWhere Can We Visit?
Charlie and Abi put a counter on 42. They wondered if they could visit all the other numbers on their 1-100 board, moving the counter using just these two operations: ×2 and -5. What do you think?
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problemFavourite1 Step 2 Step
Liam's house has a staircase with 12 steps. He can go down the steps one at a time or two at time. In how many different ways can Liam go down the 12 steps?
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problemFavouriteThink of Two Numbers
Think of two whole numbers under 10, and follow the steps. I can work out both your numbers very quickly. How?
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problemFavouriteFarey Sequences
There are lots of ideas to explore in these sequences of ordered fractions.
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problemFavouriteMore Number Pyramids
When number pyramids have a sequence on the bottom layer, some interesting patterns emerge...
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problemFavouriteOn the Edge
If you move the tiles around, can you make squares with different coloured edges?