The PISA survey of 15-year-olds in 72 countries and economies found that the quality of science lessons was more important than equipment or even staffing levels.
And it confirmed earlier findings that loading students down with homework or extra tuition was rarely the key to success in science.
Singapore came top of the table for its teaching of science, reading and mathematics.
Its students scored an average of 556 points, compared with the average among Organisation for Economic Co-operation and Development (OECD) countries of 493.
"Singapore is a standout performer," said OECD Secretary-General Angel Gurria at the global launch of the report in London.
"In Singapore, one in five students master the most advanced scientific problems and demonstrate that they think like scientists."
Nearly a quarter of all students in Singapore (24 percent) scored in the top two categories in science tests, compared with just eight percent across the OECD countries.
The five top-performing countries in the PISA tests, which were carried out in 2015, were Singapore, Japan, Estonia, Taiwan and Finland.
"A decade of scientific breakthroughs has failed to translate into breakthroughs in science performance in schools," said Gurria, adding that science education "isn't keeping up" with the "lightning speed" of scientific progress.
Around six percent of students in OECD countries, many of them in Europe, reported they did not get regular science lessons. These students scored significantly lower in the tests.
Schools that did not offer dedicated science lessons tend to be in poorer areas of countries, the report noted. The problem was particularly bad in Austria, Belgium, Croatia, France, Germany, Slovakia and Taiwan.
Those teachers who actually demonstrated scientific ideas and who adapted their teaching to meet students' needs produced better results, the report said.
That tended to happen in smaller classes, and students who received this kind of teaching were more likely to go on to a science-related career, it added.
"It's not about science tests, it's about engaging students and making science learning relevant... That's what translates to better outcomes and better careers," said Andreas Schleicher, the OECD's director for education and skills, at the London launch.
Asian countries dominated the top 10 of the PISA table, with Japan recording the second-highest average score behind Singapore.
Macao, Hong Kong and the mainland Chinese territories that were tested also featured in the top 10, as did Taiwan and Vietnam.
But the top-ranked European country, Estonia, took third place. The only other European country in the top 10 was Finland, in fifth.
PISA, the Programme for International Student Assessment, was devised by the OECD to measure countries' performance in teaching 15-year-olds the core subjects.
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