Conjecturing and generalising
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problemFavouriteOdd Times Even
This problem looks at how one example of your choice can show something about the general structure of multiplication.
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problemFavouriteBuild It Up
Can you find all the ways to get 15 at the top of this triangle of numbers? Many opportunities to work in different ways.
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problemFavouriteAlways, Sometimes or Never? Number
Are these statements always true, sometimes true or never true?
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problemFavouriteAlways, Sometimes or Never? Shape
Are these statements always true, sometimes true or never true?
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problemFavouriteRoman Numerals
Can you find some examples when the number of Roman numerals is fewer than the number of Arabic numerals for the same number?
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problemFavouriteSatisfying Four Statements
Can you find any two-digit numbers that satisfy all of these statements?
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problemFavouriteTumbling Down
Watch this animation. What do you see? Can you explain why this happens?
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gameFavouriteDicey Operations in Line
In these addition, subtraction, multiplication and division games, you'll need to think strategically to get closest to the target.
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problemFavouriteDoplication
We can arrange dots in a similar way to the 5 on a dice and they usually sit quite well into a rectangular shape. How many altogether in this 3 by 5? What happens for other sizes?