If you don't mind using a little trick,
try wrapping the questions and options in a vbox to avoid pagination.
The best solution may be to use penalty to do so.
\def\startnewitem{\vbox\bgroup\startitem}
\def\stopnewitem{\stopitem\egroup}
\starttext
\startitemize[n]
\startnewitem% <-- wrap
What is the color of the sky?
\startitemize[3]
\startitem blue \stopitem
\startitem green \stopitem
\startitem red \stopitem
\startitem yellow \stopitem
\stopitemize
\stopnewitem % <-- wrap
\startnewitem % <-- wrap
What is the color of the grass?
\startitemize[3]
\startitem blue \stopitem
\startitem green \stopitem
\startitem red \stopitem
\startitem yellow \stopitem
\stopitemize
\stopnewitem% <-- wrap
\startnewitem% <-- wrap
What is the color of the butterfly?
\startitemize[3]
\startitem blue \stopitem
\startitem green \stopitem
\startitem red \stopitem
\startitem yellow \stopitem
\stopitemize
\stopnewitem% <-- wrap
\stopitemize
Muyik
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