
Being resourceful
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problem
Stars
Can you work out what step size to take to ensure you visit all the dots on the circle?
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problem
Square coordinates
A tilted square is a square with no horizontal sides. Can you devise a general instruction for the construction of a square when you are given just one of its sides?
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problem
Isosceles triangles
Draw some isosceles triangles with an area of $9$cm$^2$ 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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problem
Consecutive 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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problem
Ten hidden squares
These points all mark the vertices (corners) of ten hidden squares. Can you find the 10 hidden squares?
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problem
The thousands game
Each child in Class 3 took four numbers out of the bag. Who had made the highest even number?
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problem
Square 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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problem
Andy's marbles
Andy had a big bag of marbles but unfortunately the bottom of it split and all the marbles spilled out. Use the information to find out how many there were in the bag originally.
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problem
On the edge
If you move the tiles around, can you make squares with different coloured edges?