The schools are the part of Ludgershall that needs the least defending. Most graded settings across the county come out good or better. Six carry the top grade. The town has a primary with its own name on it and a secondary within reach. For a place better known for what surrounds it than what happens in it, that is a stronger hand than the address suggests.
Ofsted has graded 128 settings across Wiltshire, and 106 of them sit at good or outstanding, which is roughly five in six. Six are rated outstanding, 20 require improvement and two are rated inadequate. Those are authority-wide counts covering the whole of Wiltshire rather than the streets around Ludgershall, so they describe the water the town swims in rather than the specific schools your children would walk to. A further 73 settings hold no published grade at all, which is a gap in the record rather than a bad result, and folding them into the total would be dishonest arithmetic.
Worth knowing before you get attached to a particular school: the Wiltshire and Hampshire border runs just east of the town, past Faberstown and out towards Biddesden, and the schools within a reasonable drive fall on both sides of it. The county-wide inspection picture covers one side of that line only. A border postcode gives you more options on paper and two separate admissions systems in practice.
Proximity is also not admission. Buying within sight of a school gate gets you a shorter walk and nothing else in writing, because places are allocated by the local authority against that year's applications rather than by whoever moved closest. Estate agent particulars are fond of the phrase "catchment" and are under no obligation to be right about it. Check the current year's allocation before the offer, not after.
Ludgershall Castle Primary School is the one carrying the town's name, and for most families living here the primary decision starts and often ends there. Endeavour Primary School and Wellington Eagles Primary Academy sit in the same immediate cluster, so there is genuine choice at primary age rather than a single option with a queue. At secondary, The Wellington Academy is the school in the local register, which means the eleven-plus conversation in most households here is less about which secondary and more about whether the run works around the job. Beyond that ring sit a scatter of small village primaries in the surrounding parishes, plus a handful of settings that operate outside the mainstream primary and secondary pattern for children who need something different.
The honest summary is that education is among the better reasons to live here. In a town where several other things ask you to make a compromise, the schools are the part where you mostly do not have to.