From pre-nursery to university:

Children in Singapore will start attending pre-nursery or playschool education before the age of 4, by the age of 5, most children will be attending Kindergarten for 2 years (K1 and K2).

Formal education in Singapore begins at primary schools, starting from Primary 1 through Primary 6, which is similar to First Grade through Sixth Grade in the American system.

Those who pass the Primary Six Leaving Examination (PSLE) at the end of Primary 6 will progress to Secondary schools.

Starting from Secondary 1 through Secondary 4 (Special/Express Stream), or Secondary 1 through Secondary 5 (Normal Stream). This is somewhat similar to Seventh Grade through Tenth Grade in the American system.

Then to  GCE 'O' Level examination at the end of Secondary 4 or 5 will then have to compete for admission to either a Junior College (2 years), a Polytechnic (3 or 4 years) or a Pre-University Centre (3 years). This is somewhat similar to Eleventh Grade and Twelfth Grade in the American system.

Finally, students who pass the GCE 'A' Level examination at the end of Junior College Year 2 or Pre-University Year 3, and students with excellent results at the end of Polytechnic Year 3/4 will then have to compete for admission to a local university, either National University of Singapore (NUS) or Nanyang Technological University (NTU).

Singapore's school textbooks and workbooks:

All school textbooks, workbooks and assessment books have to follow the subject syllabus set by the Singapore education ministry for each level. All Singapore schools may be using only one textbook package for Mathematics and English for certain levels, as they are allowed to choose from a list of several textbook packages for Mathematics and English for the other levels.

Singapore's school assessment books:

Assessment books also make up a significant part of Singapore's success recipe in education. Assessment books provide children with additional practice and drills beyond those covered in school workbooks.  Assessment books are also widely used in Singapore schools as part of their school curriculum, as well as tuition centres after school hours.

Related links:
http://www.sgbox.com/singaporeeducation.html