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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. Which car park should I use?

Which Is Bigger?

Stage: 4 Challenge Level: Challenge Level:2 Challenge Level:2
Charlie and Alison have filled in their results in the table below.
Can you fill in the rest of the table?
$n$
$n+10$ $2n+3$
4 14 11
5    
6    
7    
8    
9    
10 20 23
 
What do you notice?