The number of charter schools ranked among the city’s top-scoring schools on state reading and math exams has more than tripled since 2013, a new analysis by the pro-charter school group Families for Excellent Schools shows.

Nearly half of the city’s 20 top-scoring public schools for grades 3-8 were charters — where students are mainly black and Hispanic. A single charter network, Success Academy, had the top five schools in the entire state in math, and two of the top five in English.

Minority students at city charter schools significantly outperformed their public school peers on 2016 state math and reading exams, according to an advocacy group’s analysis of recently released city figures.

94% of SA students passed the 2016 math exam and 82% passed the reading exam.

Charter-school student gains on the 2016 state math and English exams markedly outpaced their public-school counterparts, according to state Department of Education figures released Friday.

Success Academy charter schools are known for high test scores, particularly in math, but they dominated this year’s list, taking seven out of 10 of the top slots in math. That’s even better than last year, when they took five out of 10.

The number of charter schools ranked among the city’s top-scoring schools on state reading and math exams has more than tripled since 2013, a new analysis by the pro-charter school group Families for Excellent Schools shows.

Way up at the top of the heap: the 4.200 third-through-eighth grade students of the Success Academy charter network, which largely serves poor and minority students. Fully 94% passed the math exam, and 82% the English.

At the Success Academy Bronx 1 charter school in the south Bronx — an institution that draws much praise and much criticism for its rigorous instruction and other aspects of its approach to education — a whopping 70 percent of students met the state’s standards on the English test. That’s more than twice the city average of 30 percent.

Acquiring the power to read is so monumental that it rewires the brain in a way that cannot be undone and leaves a person forever changed.