Exploring and noticing
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problemIntersections
Change one equation in this pair of simultaneous equations very slightly and there is a big change in the solution. Why?
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problemMultiples grid
What do the numbers shaded in blue on this hundred square have in common? What do you notice about the pink numbers? How about the shaded numbers in the other squares?
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problemTricky triangles
Use the three triangles to fill these outline shapes. Perhaps you can create some of your own shapes for a friend to fill? -
problemThere's always one isn't there
Take any pair of numbers, say 9 and 14. Take the larger number, fourteen, and count up in 14s. Then divide each of those values by the 9, and look at the remainders. -
problemSort the street
Sort the houses in my street into different groups. Can you do it in any other ways?
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problemFraction fascination
This problem challenges you to work out what fraction of the whole area of these pictures is taken up by various shapes.
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problemSticks and triangles
Using different numbers of sticks, how many different triangles are you able to make? Can you make any rules about the numbers of sticks that make the most triangles? -
problemRoyal arm wrestling
How many arm-wrestles will there be in the royal arm wrestling championship? -
problemWallpaper
These pieces of wallpaper need to be ordered from smallest to largest. Can you find a way to do it?