Good, with one caveat that the village solves and one it does not. The primary is in the village itself, about a seven-minute walk away. The secondary is not, and never will be. Most of Cornwall's graded schools come out good or better. The water that makes this place pleasant is also the thing standing between an eleven-year-old and their school gate.
Ofsted has graded 120 settings across Cornwall, the local authority that covers Flushing, and 95 of them, close to four in five, sit at good or better. Three are rated outstanding, 20 require improvement and 5 are rated inadequate. A further 113 settings hold no published grade at all, either because they have not yet been inspected or because their inspection produced no overall effectiveness judgement, and they should not be read as either good or bad. These are county-wide counts rather than a measure of the handful of schools a Flushing family would actually consider, but the underlying pattern is a county where the odds are with you.
The one carrying the village name is Flushing School, and its presence is the single biggest practical advantage of living here with small children. Modelled journey times put a primary school at around seven minutes on foot, which is a description of walking to the end of the road. Across the creek at Mylor Bridge, Mylor Bridge Community Primary School serves the settlements at the head of the water. In Falmouth, King Charles Church of England Primary School is one of a cluster of town primaries, with others including a Catholic primary, an academy and two more church schools, all of them a car journey or a boat plus a walk rather than a school run in any relaxing sense.
For secondary, the answer is Falmouth School, and there is no local alternative pretending otherwise. The modelled journey is about 14 minutes by car, around 31 by public transport and roughly 56 on foot, which is the difference between a household with a spare driver at half past eight and one without. Falmouth University sits in the same direction for anyone thinking further ahead.
Naming a school is not the same as getting into it. Admissions here run on the local authority's rules rather than on proximity alone, oversubscription is decided by published criteria and not by which side of the water you happen to have bought on, and a village primary with a small intake can fill up in a way that a town school does not. Anyone buying on the assumption that a particular school comes attached to a particular address should check the current arrangements with Cornwall Council before exchanging, not after.
Schools are the strongest thing about this place after safety. A village primary within walking distance, a county where the large majority of graded schools are good or better, and a single secondary that everyone uses and nobody has to choose between: the only real cost is the drive, and the drive is the price of living on a peninsula that goes nowhere.