SAT Ultimate Study Pack
📋 Table of Contents
1. SAT Math
1.1 Key Formulas & Concepts
1.2 Tips & Tricks
1.3 Flashcards
2. Evidence-Based Reading & Writing
2.1 Reading Strategies
2.2 Writing & Language Rules
2.3 Flashcards
3. Practice Questions & Explanations
4. 3-Day Revision Plan
5. Memory-Retention Hacks
SAT Math
Key Formulas & Concepts
Topic Formula / Concept
• Quadratic formula: x=−b±b2−4ac2ax = \frac{-b \pm \sqrt{b^2 - 4ac}}
Algebra {2a}x=2a−b±b2−4ac
• Slope: m=y2−y1x2−x1m=\frac{y_2 - y_1}{x_2 - x_1}m=x2−x1y2−y1
• f(x)=mx+bf(x) = mx + bf(x)=mx+b linear
Functions
• Domain/range basics
• Circle: C=2πrC=2\pi rC=2πr, A=πr2A=\pi r^2A=πr2
Geometry
• Triangle area: 12bh\tfrac12 bh21bh
• SOH-CAH-TOA
Trigonometry
• sin2θ+cos2θ=1 \sin^2θ + \cos^2θ =1sin2θ+cos2θ=1
• Mean, median, mode definitions
Statistics
• Standard deviation concept
Problem • Ratios, proportions, percent change formula: new−oldold×100\frac{\text{new}-\
Solving text{old}}{\text{old}}\times100oldnew−old×100%
, Tips & Tricks
1. Plug-in Numbers
o When variables confuse you, choose easy numbers (e.g. x=1,2x=1,2x=1,2) to test.
2. Back-Solve
o On multiple-choice, plug answer choices into the equation to see which works.
3. Draw It
o Sketch geometry problems; label every known length/angle.
4. Watch Units
o Keep track of units (e.g. miles vs. feet) to avoid scale errors.
5. Eliminate Wrong Answers First
o Cross out obviously wrong options to improve your success rate.
Flashcards
Q A
1. Quadratic
x=−b±b2−4ac2ax = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}x=2a−b±b2−4ac
formula
2. Area of a
A=πr2A = \pi r^2A=πr2
circle
sin=opphyp\sin = \frac{\text{opp}}{\text{hyp}}sin=hypopp, cos=adjhyp\cos = \frac{\
3. SOH-CAH-
text{adj}}{\text{hyp}}cos=hypadj, tan=oppadj\tan = \frac{\text{opp}}{\
TOA
text{adj}}tan=adjopp
4. Percent
new−oldold×100\frac{\text{new}-\text{old}}{\text{old}}\times100oldnew−old×100%
change
5. Slope of
m=y2−y1x2−x1m = \frac{y_2-y_1}{x_2-x_1}m=x2−x1y2−y1
line
6. Triangle
12×base×height\tfrac12 \times \text{base} \times \text{height}21×base×height
area
7. Mean Sum of values ÷ number of values
8. Median Middle value when sorted
9. Mode Most frequent value
📋 Table of Contents
1. SAT Math
1.1 Key Formulas & Concepts
1.2 Tips & Tricks
1.3 Flashcards
2. Evidence-Based Reading & Writing
2.1 Reading Strategies
2.2 Writing & Language Rules
2.3 Flashcards
3. Practice Questions & Explanations
4. 3-Day Revision Plan
5. Memory-Retention Hacks
SAT Math
Key Formulas & Concepts
Topic Formula / Concept
• Quadratic formula: x=−b±b2−4ac2ax = \frac{-b \pm \sqrt{b^2 - 4ac}}
Algebra {2a}x=2a−b±b2−4ac
• Slope: m=y2−y1x2−x1m=\frac{y_2 - y_1}{x_2 - x_1}m=x2−x1y2−y1
• f(x)=mx+bf(x) = mx + bf(x)=mx+b linear
Functions
• Domain/range basics
• Circle: C=2πrC=2\pi rC=2πr, A=πr2A=\pi r^2A=πr2
Geometry
• Triangle area: 12bh\tfrac12 bh21bh
• SOH-CAH-TOA
Trigonometry
• sin2θ+cos2θ=1 \sin^2θ + \cos^2θ =1sin2θ+cos2θ=1
• Mean, median, mode definitions
Statistics
• Standard deviation concept
Problem • Ratios, proportions, percent change formula: new−oldold×100\frac{\text{new}-\
Solving text{old}}{\text{old}}\times100oldnew−old×100%
, Tips & Tricks
1. Plug-in Numbers
o When variables confuse you, choose easy numbers (e.g. x=1,2x=1,2x=1,2) to test.
2. Back-Solve
o On multiple-choice, plug answer choices into the equation to see which works.
3. Draw It
o Sketch geometry problems; label every known length/angle.
4. Watch Units
o Keep track of units (e.g. miles vs. feet) to avoid scale errors.
5. Eliminate Wrong Answers First
o Cross out obviously wrong options to improve your success rate.
Flashcards
Q A
1. Quadratic
x=−b±b2−4ac2ax = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}x=2a−b±b2−4ac
formula
2. Area of a
A=πr2A = \pi r^2A=πr2
circle
sin=opphyp\sin = \frac{\text{opp}}{\text{hyp}}sin=hypopp, cos=adjhyp\cos = \frac{\
3. SOH-CAH-
text{adj}}{\text{hyp}}cos=hypadj, tan=oppadj\tan = \frac{\text{opp}}{\
TOA
text{adj}}tan=adjopp
4. Percent
new−oldold×100\frac{\text{new}-\text{old}}{\text{old}}\times100oldnew−old×100%
change
5. Slope of
m=y2−y1x2−x1m = \frac{y_2-y_1}{x_2-x_1}m=x2−x1y2−y1
line
6. Triangle
12×base×height\tfrac12 \times \text{base} \times \text{height}21×base×height
area
7. Mean Sum of values ÷ number of values
8. Median Middle value when sorted
9. Mode Most frequent value
