A tourist bus was targeted by two veiled women soon after the blast
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The Foreign Office is advising anyone travelling to Egypt to be "aware of the risks" following a number of attacks on tourist attractions.
In the latest incident 10 people, including four tourists, were injured when a bomber blew himself up in Cairo.
The Foreign Office said there was a "continuing threat of terrorism throughout Egypt" and travellers may be escorted by police in some areas.
It said security in Sinai and other tourist sites had been stepped up.
Tourists injured
A Foreign Office spokeswoman said they would continue to keep people updated on its website.
Egyptian authorities said the man who blew himself up in Saturday's attack was a wanted militant behind a blast at a Cairo market, frequented by tourists, three weeks ago, which caused four deaths and 19 injuries.
Soon after, a tourist bus was fired on by two veiled women said to be the sister and fiancée of the bomber.
The Foreign Office said on its website Egyptian authorities believe that the "perpetrators of the three incidents are linked".
It adds that travellers "should be aware of the global risk of indiscriminate terrorist attacks, which could be against civilian targets, including places frequented by foreigners".
In October 2004 three explosions in the Sinai peninsula killed 34 and injured 159, including tourists.
There were no British casualties in any of the incidents.
Egyptian Prime Minister Dr Ahmed Nazif said the attack targeted tourism.
"I do not think any Egyptian agrees with such incidents which destabilise security and attempt to threaten the Egyptian society and one of the sources of its livelihood, which is tourism," he said.