SAT Study Resources Appendix - Official Practice Tests and Math Topic Problem References

Aug 29, 2026

Provides a structured appendix for SAT® preparation based on eight official SAT practice tests and the first official PSAT practice test (2015). Explains how to obtain the official tests via downloadable online sources or the 2018 Official SAT Study Guide (8-test edition), including guidance for pencil-and-paper practice. Introduces a problem-reference system that maps math topics to specific test, section, and problem numbers, and organizes major math topics with sub-topics and corresponding references.

LanguageEnglish

CategoryExam

FormatPDF

Pages6

Reading Time15 min

AccessFree to download

Source materials

Using problem references

Math topic index

Source materials This appendix was built using the eight official SAT® practice tests and the first official PSAT® practice test (dated 2015) . These tests may be found online, where they are free for downloading, or if you prefer a hard copy of the tests you can purchase a book containing the eight official practice tests. The book is called The Official SAT Study Guide , 2018 Edition (ISBN 978-1457309281) . It replaces an earlier edition that only contained the first four practice tests. If you decide to purchase the book, make sure it says 8 practice tests on the bottom right hand corner of the front cover. If you prefer to work with free online materials and prefer to practice using pencil and paper (this is my recommendation, because the SAT® is administered as a pencil and paper test), a good source for the official practice tests is the College Board web site. For official SAT® practice tests, see [https://collegereadiness.collegeboard.org/sat/practice/full-length-practice-tests](https://collegereadiness.collegeboard.org/sat/practice/full-length-practice-tests. Official)[. Official](https://collegereadiness.collegeboard.org/sat/practice/full-length-practice-tests. Official) PSAT® practice tests can be found at [https://collegereadiness.collegeboard.org/psat-nmsqt-psat-10/practice/full-length](https://collegereadiness.collegeboard.org/psat-nmsqt-psat-10/practice/full-length)practice-tests. The 2015 practice PSAT® is listed on the web site as practice test 1 (the 2016 practice PSAT® is listed as practice test 2) . The College Board has partnered with Khan Academy, which takes more of an online approach to preparation. The Khan web site contains their own practice math problems organized by topic, online versions of the official practice tests, and other resources. If you are using the Khan web site but prefer to work with pencil and paper, you can find the same official SAT® practice tests at [https://www.khanacademy.org/test-prep/sat/new-sat-tips-planning/new-sat-how-to-prep/a/full-length-sats](https://www.khanacademy.org/test-prep/sat/new-sat-tips-planning/new-sat-how-to-prep/a/full-length-sats)to-take-on-paper . Using problem references Problem references are shown in the last column of the table below. They are structured as follows: • For problems from the official SAT® practice tests, the format is: test number/section number/problem number. For example, 3/4/12 indicates the third practice test, section 4 , problem 12. • For problems from the 2015 official PSAT® practice test (called practice test 1 on the College Board web site) , the format is: 15/section number/problem number. This is a list of math topics from this book, ordered from most popular to least popular. If you are having trouble with a particular topic, find it below and try some of the official practice problems after you have attempted the homework problems in this book. If you are interested in reviewing official practice tests by topic, find the topic below and look up the problem references. The previous page has an explanation of how to use the problem references. | Math topic | Popular sub-topics | Problem references | | | | --- | --- | --- | --- | --- | | 3.3 Linear equations and systems | Linear equations in one variable
Linear equations in two variables | 1/3/1
1/4/4
2/3/1
2/4/6
2/4/32
3/3/2
3/3/4
3/4/18
1/3/3
1/3/4
1/3/6
1/3/12
1/4/9
1/4/10
1/4/15
1/4/16
2/3/3
2/3/12
2/3/16
2/4/1
2/4/3
2/4/22
2/4/25
2/4/35
2/4/37 | 4/4/1
4/4/31
5/3/17
5/4/33 6/4/4 7/3/2
7/3/16
7/4/19
2/4/38
3/3/15
3/4/8
3/4/10
3/4/11
3/4/22
4/4/5
4/4/21
4/4/32
5/3/8
5/3/13
5/4/7
5/4/23
6/3/1
6/3/2
6/4/12
6/4/13 | 8/3/1
8/3/5
8/4/9
8/4/32
15/3/1
15/3/14
15/3/15
15/4/2
6/4/14
7/3/1
7/3/6
7/4/17
7/4/25
8/3/13
8/3/18
8/3/19
8/4/7
8/4/21
8/4/25
8/4/29
15/

FAQs

Where can official full-length SAT and PSAT practice tests be found?

Official full-length SAT practice tests are available on the College Board website. Official PSAT practice tests (including the 2015 practice test) are also listed on the College Board site.

What book edition should be purchased to get eight official SAT practice tests?

The appendix recommends The Official SAT Study Guide, 2018 Edition, noting it replaces an earlier edition with only the first four practice tests and advises checking that the cover indicates 8 practice tests.

How do the math problem references work?

For SAT practice test problems, references use test number/section number/problem number (e.g., 3/4/12). For the 2015 official PSAT practice test, the format is 15/section number/problem number.

Aug 29, 2026

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