Citizen 10th December 2010 - the City of London School
Citizen 10th December 2010 - the City of London School
Citizen 10th December 2010 - the City of London School
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Friday <strong>December</strong> 10 2009<br />
Puzzle Page<br />
Maths Puzzle<br />
Daniel Hu 5H <strong>Citizen</strong> Maths Puzzler<br />
Question<br />
If both ‘p’ and ‘p cubed plus three’ are<br />
prime, what could p be? Prove that you<br />
have found all possible ps.<br />
Hints:There is only one even prime, and<br />
that is 2.<br />
The cube <strong>of</strong> an even number is even. The<br />
cube <strong>of</strong> an odd number is odd. This means<br />
cubing conserves parity.<br />
Adding 3 to an even number makes it odd.<br />
Adding 3 to an odd number makes it even.<br />
This means that adding 3 changes parity.<br />
Note: Parity is whe<strong>the</strong>r something is even<br />
or odd i.e. whe<strong>the</strong>r it is divisible by 2 or<br />
not. We say that 1 has parity odd.<br />
CITY QUIZ<br />
1.Which two US manned space programmes<br />
preceded Apollo?<br />
2.How many Asian countries start with <strong>the</strong><br />
letter ‘B’?<br />
3.Until 1949, what was Indonesia called?<br />
4.With 39 years and 321 days, who is <strong>the</strong><br />
oldest player to debut in a FIFA World Cup<br />
tournament?<br />
5.Which famous conqueror’s title translated<br />
means ‘ocean ruler’?<br />
6.Its capital is Valletta and <strong>the</strong> largest city<br />
is Birkirkara. Where?<br />
7.Which fabled writer is credited with <strong>the</strong><br />
following words <strong>of</strong> wisdom?: “Don’t<br />
count your chickens before <strong>the</strong>y hatch”<br />
8.Which clove like scented flower, also<br />
a registered trade mark, is known as ‘<strong>the</strong><br />
flower <strong>of</strong> God’?<br />
9.What is <strong>the</strong> more common name for<br />
triatomic oxygen?<br />
10.Twenty five square feet <strong>of</strong> land in which<br />
US state <strong>of</strong>ficially belongs to <strong>the</strong> UK?<br />
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