These are the different alternative variations of the Promise for Cubs Scouts available since 2013:

Core Promise

I promise that I will do my best
to do my duty to God and to the Queen,
to help other people
and to keep the Cub Scout Law

Christian, Jew & Sikh:

I promise that I will do my best
to do my duty to God and to Queen
to help other people
and to keep the Cub Scout Law

Muslim:

On My honour…
or
In the name of Allah, the
Most Beneficent the Most
Merciful…

I promise that I will do my best
to do my duty to God and to the Queen
or duty to Allah and to the Queen
to help other people
and to keep the Cub Scout Law

Hindu:

I promise that I will do my best
to do my duty to God and to the
Queen
or
duty to my Dharma and to the Queen
to help other people
and to keep the Cub Scout Law

Humanist, atheist or no faith:

I promise that I will do my best
To uphold our Scout
values, to do my duty to the
Queen,
to help other people
and to keep the Cub Scout Law

For more details please see the http://members.scouts.org.uk/factsheets/FS322016.pdf.