The Complete SAT Mathematics Practice Book
367 questions with full worked solutions, covering every topic the SAT Math section draws on — and every wrong answer explained.
No email address, no sign-up, no watermark.
What makes this book different
Every wrong answer explained
Most books tell you the right answer. This one takes each of the three wrong options apart and shows you the specific mistake that produces it — so you recognise the trap before you fall into it.
Checked by computation
Every answer was solved independently by computer algebra before it was published, including the wrong options — so the explanation of a distractor is never hand-waved.
Built from the real thing
The structure comes from the eight official practice tests: what is examined, in what proportion, and where the questions with no options sit. Every question here is written from scratch.
Chapters
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00
SAT Mathematics — Complete Study Guide
What the test is, the reference sheet, the built-in Desmos calculator, grid-in rules, a study plan guide -
01
Linear Equations and Inequalities
Solving, brackets, fractions, no solution, translating words, inequalities 40 Q -
02
Lines, Linear Functions and Systems
Slope, lines, linear functions and systems of two equations 32 Q -
03
Exponents, Polynomials and Equivalent Expressions
Exponents, polynomials, factoring and equivalent expressions 32 Q -
04
Quadratic and Nonlinear Equations
Quadratics, the discriminant and nonlinear systems 28 Q -
05
Functions, Graphs and Exponential Growth
Quadratic, exponential and transformed functions 24 Q -
06
Ratios, Percentages, Data and Probability
Ratios, percentages, data, probability and inference 40 Q -
07
Geometry and Trigonometry
Lines and angles, triangles, trigonometry, circles, area and volume 28 Q -
08
Student-Produced Responses
The questions that have no options, about one in four, and the rules for entering them 15 Q -
09
Two Full Practice Papers
Full 54-question papers in the form of the official paper practice tests, scored with the official conversion table 108 Q -
10
The Challenge Set
Twenty questions harder than the test will ask, every wrong option a mistake you can actually make 20 Q
What the SAT Math section actually is
Two modules — 22 questions in 35 minutes each on the digital test, 27 questions in 43 minutes each on the official paper practice tests — and a calculator is permitted on every question. That last point shapes this whole book: if a calculator can do the arithmetic, the arithmetic is not what is being examined — the marks are in setting the problem up.
About a quarter of the questions have no options at all. You work the answer out and enter it yourself, and the way you write it can throw the mark away. Chapter 8 is devoted to those.
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