Easy but Google has been reluctant to inform.
\override Score.TimeSignature #'break-visibility = #'#(#f #t #t)
An example:
{ \numericTimeSignature \override Score.BarNumber #'break-visibility = #'#(#f #f #f) \override Score.TimeSignature #'break-visibility = #'#(#f #t #t) \hideNotes \time 4/4 a'4^"a" a'4 a'4 a'4 | a'4 a'4 a'4 a'4 \bar "||" \time 4/4 a'4^"b" a'4 a'4 a'4 | a'4 a'4 a'4 a'4 \bar "||" \break \time 4/4 a'4^"c" a'4 a'4 a'4 | a'4 a'4 a'4 a'4 \bar "||" \time 4/4 a'4^"d" a'4 a'4 a'4 | a'4 a'4 a'4 a'4 | \bar "|." }
yields:
P. S. If you are fiddling with educational literature and still use an older version of LilyPond, you may have a reason to update: 2.18 features two very useful shortcut commands: "\hide" and "\omit", to make a graphical object invisible (transparent) and to remove it altogether, respectively.