Year 7 Working systematically
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problemFavouriteAn Equilateral Triangular Problem
Take an equilateral triangle and cut it into smaller pieces. What can you do with them?
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problemFavouriteCan You Make 100?
How many ways can you find to put in operation signs (+, −, ×, ÷) to make 100?
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problemFavouriteShape Products
These eleven shapes each stand for a different number. Can you use the multiplication sums to work out what they are?
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problemFavouriteOn the Edge
If you move the tiles around, can you make squares with different coloured edges?
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problemFavouriteSquares in Rectangles
A 2 by 3 rectangle contains 8 squares and a 3 by 4 rectangle contains 20 squares. What sizes of rectangle contain exactly 100 squares? Can you find them all?
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problemFavouriteUnequal Averages
Play around with sets of five numbers and see what you can discover about different types of average...
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problemFavouriteSquare It
Players take it in turns to choose a dot on the grid. The winner is the first to have four dots that can be joined to form a square.
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problemFavouriteParallelogram It
Players take it in turns to choose a dot on the grid. The winner is the first to have four dots that can be joined to form a parallelogram.