Module 8 · SAT Test Mastery
Chapter 38: Advanced Word Problems
Test Mastery
5 topics
What this chapter covers
The 5 topics below make up Advanced Word Problems on the Digital SAT. Click any topic to open its notes, examples and practice test.
Study material & tests
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Notes, worked examples and hint-guided practice for every topic.
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8 auto-graded questions per topic, pulled from the question bank.
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25 fresh mixed-difficulty questions, timed, with full solutions.
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Formula Reference Sheet
This chapter
Core relationships
| Motion | distance = speed × time |
|---|---|
| Work (together) | time = (xy)/(x + y) |
| Business | profit = selling price − cost |
Proportion & growth
| Mixture (alligation) | ratio = (dear − mean) : (mean − cheap) |
|---|---|
| Percent growth | new = old × (1 + r) |
| Percent change | (change ÷ original) × 100 |
Digital SAT reference
Area & Circumference
| Circle area | A = πr² |
|---|---|
| Circle circumference | C = 2πr |
| Rectangle | A = ℓw |
| Triangle | A = ½ b h |
Volume
| Rectangular box | V = ℓwh |
|---|---|
| Cylinder | V = πr²h |
| Sphere | V = 4⁄3 πr³ |
| Cone | V = 1⁄3 πr²h |
| Pyramid | V = 1⁄3 ℓwh |
Right triangles
| Pythagorean theorem | a² + b² = c² |
|---|---|
| 30°–60°–90° | sides x : x√3 : 2x |
| 45°–45°–90° | sides s : s : s√2 |
Constants
| Degrees in a circle | 360° |
|---|---|
| Radians in a circle | 2π |
| Angles of a triangle | sum = 180° |
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