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Intersections

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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Negatively Triangular

How many intersections do you expect from four straight lines ? Which three lines enclose a triangle with negative co-ordinates for every point ?

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Which Is Cheaper?

When I park my car in Mathstown, there are two car parks to choose from. Can you help me to decide which one to use?

Which Is Bigger?

Age 14 to 16 Challenge Level:
Can you fill in the rest of the table below?

$n$
$n+10$ $2n+3$
4 14 11
5    
6    
7    
8    
9    
10 20 23
 
What do you notice?

How else could you represent this information?