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There are three tables in a room with blocks of chocolate on each. Where would be the best place for each child in the class to sit if they came in one at a time?

Four Triangles Puzzle

Cut four triangles from a square as shown in the picture. How many different shapes can you make by fitting the four triangles back together?

Cut it Out

Can you dissect an equilateral triangle into 6 smaller ones? What number of smaller equilateral triangles is it NOT possible to dissect a larger equilateral triangle into?

Fractional Wall

Age 7 to 11
Challenge Level

fraction wall showing halves, thirds, quarters, sixths, eighths, twelths and twenty-fourths

Using the image above, how many different ways can you find of writing $\frac{1}{2}$?
From the picture, what equivalent fractions for $\frac{1}{3}$ can you find?
Again, using the image of the fraction wall, how else could you write $\frac{3}{4}$?
What other fractions do you know that are the same as $\frac{1}{2}$?
Find some other fractions which are equivalent to $\frac{3}{4}$.
Can you find any "rules" for working out equivalent fractions?

You might find it helpful to print off a picture of the fraction wall.