SAT Numbers Perfect Score

To get a perfect score on SAT Math, you need to:

• Get every single problem correct.
• Have complete mastery of all of the SAT skills
• Remember the Tips and use them
• Figure out your common mistakes and avoid them

Numbers

• Know the properties of even and odd numbers.
• Even numbers: \(\ldots, -6, -4, -2, 0, 2, 4, 6, \ldots , 2n, \ldots\), where \(n\) is an integer.
• Odd numbers: \(\ldots, -7, -5, -3, -1, 1, 3, 5, 7, \ldots, 2n+ 1, \ldots\), where \(n\) is an integer.
• Consecutive integers: \( \ldots, n-1, n, n+1, n+2, n+3 \ldots\), where \(n\) is an integer.

Number Line

• Consecutive integers: \( \ldots, n-1, n, n+1, n+2, n+3 \ldots\), where \(n\) is an integer.
• Only assume that the tick marks are equally spaced, nothing more.

Factors, Divisibility, and Remainders

Fractions and Decimals

• When dealing with fractions, one whole unit = 1.

Ratios, Proportions, and Percents

• Know the Properties of Proportions.
• Pay attention to units.

Sequences and Series

• For an arithmetic sequence: \(a_{n}=a_{1}+(n-1)d\).
• For a geometric sequence: \(a_n = a_1 \times r^{n-1}\).
• For an arithmetic series: \(S_n = \frac{n(a_1+a_n)}{2}\).
• For a geometric series: \(S_{n}= a_1 \times \frac{r^n -1} {r-1}, \text{where}\ r\neq 1\).

SAT General Tips