The three distinct elements of the logo are:

The Flame of Passion
The intense red flame represents the passion to learn and the power of positive thinking. Red is also the national colour of Singapore.

The Star of Champions
The rich purple star symbolises excellence and the pride of representing one’s nation.

The Crescent of Tomorrow
The crescent reflects dynamic youth, full of promise. It has the lush green and calm blue colours of a tropical island city.

The Singapore 2010 Wordmark has an active appearance, comprising individual and unique characters that signify harmony among the diverse participants.

Source: http://www.olympic.org/uk/games/yog/singapour/open_embleme_uk.asp

This is the logo for the Sydney 2000 Olympics. The emblem represents the figure of an athlete, using typically Australian shapes and colours. The boomerangs and suggestions of sun and rocks, together with the colours of the harbour, beaches and red interior invoke the unique Australian landscape and its original inhabitants. The flash which transforms the silhouette of Sydney Opera House into a trail of smoke from an Olympic torch recalls the emblem of Sydney’s Olympic candidature. The logo was designed by prominent Australian artist Ken Done.

Source: http://www.olympic.org/uk/games/past/collector_uk.asp?type=5&id=5&OLGT=1&OLGY=2000

This is the logo for the Salt Lake 2002 Olympics. It represents a stylized snow crystal with bright colours - yellow, orange and blue. These are the colours found in the Utah landscape. The theme conveyed by these graphic elements is threefold: Contrast, Culture and Courage. Contrast symbolising the Utah landscape - from the arid desert to the snowy mountains; Culture representing the different cultures which make the region the exceptional heritage of America; and Courage reflecting the spirit of the athletes - the very essence of the Games. This theme followed the feeling of the inhabitants of Utah who wanted the emblem to reflect the diversity of the landscape and heritage of their region, as well as the Olympic spirit. Graphic designers were then contacted to find the right way to translate the ideas of the local community into a visual form.

Source: http://www.olympic.org/uk/games/past/collector_uk.asp?type=5&id=36&OLGT=2&OLGY=2002

The Athens 2004 Olympic Games emblem is a wreath made from an olive tree branch, or kotinos. The emblem is a reference to the ancient Olympic Games, where the kotinos was the official award of the Olympic champions. In addition, the olive was the sacred tree of the Athens. The colour of the emblem symbolise the shades of white and blue found in the Greek countryside.

Source: http://www.olympic.org/uk/games/past/collector_uk.asp?type=5&id=37&OLGT=1&OLGY=2004

Nurulain Haziqah(21) 2A