Barnet took an immediate lead when Ephron Mason-Clark picked up the ball on the edge of the box, completed a couple of stepovers before curling the ball into the bottom corner in the second minute.
Further chances for Fonguck, Barham and Taylor followed before Barnet eventually doubled their lead on the half-hour mark.
An excellent cross by 16-year-old scholar Martyn Box found a trialist who rose highest in a crowd of players to head home.
The same trialist doubled his tally and gave Barnet their third when Fonguck’s good effort was parried directly into his path to tap home.
Barham got his first goal in a Barnet shirt just before the break, Fonguck setting up the striker who would make no mistake, calmly slotting home into the bottom corner.
Maldon got on the scoresheet in the 48th minute when a wide free kick was cleared only as far as Wright who hit a great volley past the helpless trialist goalkeeper and into the roof of the net.
However, Wright would then score at the wrong end when he was unfortunate to be struck in the face by a clearance from Sule’s cross.
Wes Fonguck got a deserved goal in the 74th minute when he drove at goal, making his way through the defence before placing his shot into the bottom right corner.
With the clock ticking away, Fonguck got his second and Barnet’s seventh when Albanian youngster Roy Syla dispossessed a defender, played Fonguck through and he could make no mistake from close range.
Barnet – Trialist GK (Trialist GK2, 68’), Pascal, Payne, Tutonda, Box, J. Taylor, Fonguck, Sule, Mason-Clark (Hinckson-Mars, 65’), Trialist Two (Syla, 65’), Barham (Aghadiuno, 65’).