The question came in a teaching pack compiled by the council's racial harassment officer, Sail Suleman, and authorised for national distribution by the Government.
But is has now been withdrawn by the Department for Children, Schools and Families amid concerns about children being asked to "prepare a brief presentation on the 7/7 bombings from the perspective of the bombers".
Megan Swift, chairwoman of Calderdale Council children and young people scrutiny panel, said: "I am in favour of teaching packs to promote community cohesion but this is ridiculous. Someone has clearly
been over-enthusiastic and I want to see it thoroughly investigated," said Coun Swift (Lab, Town)
Liberal Democrat education spokeswoman Olwen Jennings said the question was "a step too far."
"I can understand children being encouraged to think about the victims but not to put themselves in the bombers' shoes. This is a huge oversight."
The teaching pack, which includes a DVD and costs £200, has been defended by Cabinet members responsible for community cohesion.
Spokesman for children and young people Craig Whittaker said: "I am quite furious about the Government withdrawing its support. Until a couple of days ago they thought it was an exemplary piece of work.
"It was meant to help people think about all angles of a situation," said Coun Whittaker (Con, Rastrick).
The pack, funded by a Government grant, had sold 200 before being withdrawn.
Ian Cooper, the council's community services spokesman – the department that issued the pack – has defended it and Mr Suleman.
He said: "It would be wrong to single out individuals for this excellent piece of work, which was produced in collaboration with the police, the inter-faith council and other agencies.
"The council should be applauded for taking such an initiative which is trying to get children to understand some of the fundamental issues facing society.
"It is not about trying to get children to re-enact the actions of a bomber and I am amazed the Government has turned away from it," said Coun Cooper (Con, Todmorden).
Mr Suleman, currently on holiday, told the Courier: "I am not in a position to make a statement.
"When I am back, if I get the go-ahead to speak to the Press, I will do so."
In an interview when the pack was first released, he said: "We're looking at why people become extreme.
"Why do young people go out and do what the bombers did? Was it pressure from individuals they were hanging out with? Hopefully, we'll encourage pupils to stay away from those individuals."
Other groups are asked to imagine the bombings from the perspectives of Muslims in Britain, non-Muslim Asians and British people in general.
The teaching pack is already being used in Islamic schools and mosques in West Yorkshire, as well as in local authority-run schools.
Council spokesman Mark Thompson, head of housing and community support, said: "The Things Do Change resource pack is made up of 10 modules, each one addressing an important element of our strategy to help and encourage tolerance and promote community cohesion.
"One of the modules explores the impact of the 7/7 bombings. This is a factual module complimented by the DVD.
"The module has been carefully produced to encourage debate and discussions on what happened on 7/7."
Patrick Mercer, chairman of the Commons terrorism sub-committee, said: "How useful is it to pretend to be a suicide bomber if it defeats the object of the lesson?
"Imagine the uproar if we suggested children play-acted the role of Hitler."