Working systematically
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problemFavouriteDays and Dates
Investigate how you can work out what day of the week your birthday will be on next year, and the year after...
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problemFavouriteAmerican Billions
Play the divisibility game to create numbers in which the first two digits make a number divisible by 2, the first three digits make a number divisible by 3...
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problemFavouriteReflecting Squarely
In how many ways can you fit all three pieces together to make shapes with line symmetry?
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problemFavouriteCinema Problem
A cinema has 100 seats. How can ticket sales make £100 for these different combinations of ticket prices?
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problemFavouriteShady Symmetry
How many different symmetrical shapes can you make by shading triangles or squares?
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problemFavouriteTilted Squares
It's easy to work out the areas of most squares that we meet, but what if they were tilted?
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problemFavouriteConsecutive Seven
Can you arrange these numbers into 7 subsets, each of three numbers, so that when the numbers in each are added together, they make seven consecutive numbers?
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problemFavouriteIsosceles Triangles
Draw some isosceles triangles with an area of $9cm^2$ and a vertex at (20,20). If all the vertices must have whole number coordinates, how many is it possible to draw?
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problemFavouriteTriangles in Circles
Can you find triangles on a 9-point circle? Can you work out their angles?