UPSEE Paper 4: Study Guide & Test Prep

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• Average Lesson Length: 8 min
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• UPSEE Paper 4: Study Guide & Test Prep Practice Test

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Get ready for the UPSEE Paper 4 exam with this convenient and mobile-friendly test prep course. This self-paced study resource allows you to prepare for the test on your own schedule and practice answering the types of questions you'll encounter on the exam.
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12 chapters in UPSEE Paper 4: Study Guide & Test Prep

Course Practice Test

Check your knowledge of this course with a 50-question practice test.
• Comprehensive test covering all topics
• Detailed video explanations for wrong answers
Week {{::cp.getGoalWeekForTopic(0, 12)}}
Ch 1. Overview of Algebra Basics {{cp.topicAssetIdToProgress[269135].percentComplete}}% complete
Course Progress Best Score
Lesson 1 - Introduction to Groups and Sets in Algebra
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Lesson 2 - The Difference Between Relations & Functions
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Lesson 3 - Boolean Algebra: Rules, Theorems, Properties & Examples
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Lesson 4 - Quadratic & Inverse Relationships
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Lesson 5 - Equivalence Relation: Definition & Examples
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Lesson 6 - How to Calculate with Surds
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Lesson 7 - What Are Exponents? - Definition, Properties & Rules
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Lesson 8 - How to Solve Simultaneous Equations
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Lesson 9 - How to Use the Quadratic Formula to Solve a Quadratic Equation
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Lesson 10 - Summation Notation: Rules & Examples
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Lesson 11 - Partial Fractions: How to Factorize Fractions with Quadratic Denominators
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Lesson 12 - What is the Binomial Theorem?
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Week {{::cp.getGoalWeekForTopic(1, 12)}}
Ch 2. Matrices in Algebra {{cp.topicAssetIdToProgress[269141].percentComplete}}% complete
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Lesson 1 - Matrix Notation, Equal Matrices & Math Operations with Matrices
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Lesson 2 - How to Solve Inverse Matrices
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Lesson 3 - How to Take a Determinant of a Matrix
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Lesson 4 - How to Solve Linear Systems Using Gaussian Elimination
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Lesson 5 - Solving Systems of Linear Equations in Two Variables Using Determinants
Score: {{cp.lessonAssetIdToProgress[21237].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[21237].bestScoreQuestions}}  Take Quiz Optional
Lesson 6 - Solving Systems of Linear Equations in Three Variables Using Determinants
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Week {{::cp.getGoalWeekForTopic(2, 12)}}
Ch 3. Probability in Math {{cp.topicAssetIdToProgress[269147].percentComplete}}% complete
Course Progress Best Score
Lesson 1 - What is Probability in Math? - Definition & Overview
Score: {{cp.lessonAssetIdToProgress[9154].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[9154].bestScoreQuestions}}  Take Quiz Optional
Lesson 2 - Probability of Independent and Dependent Events
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Lesson 3 - The Addition Rule of Probability: Definition & Examples
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Lesson 4 - The Multiplication Rule of Probability: Definition & Examples
Score: {{cp.lessonAssetIdToProgress[15109].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[15109].bestScoreQuestions}}  Take Quiz Optional
Lesson 5 - Bayes' Theorem: Definition, Formula & Usage
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Week {{::cp.getGoalWeekForTopic(3, 12)}}
Ch 4. Understanding Trigonometry {{cp.topicAssetIdToProgress[269149].percentComplete}}% complete
Course Progress Best Score
Lesson 1 - Trigonometric Identities: Definition & Uses
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Lesson 2 - Solve Trigonometric Equations with Identities & Inverses
Score: {{cp.lessonAssetIdToProgress[28270].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[28270].bestScoreQuestions}}  Take Quiz Optional
Lesson 3 - How to Solve Trigonometric Equations for X
Score: {{cp.lessonAssetIdToProgress[3428].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[3428].bestScoreQuestions}}  Take Quiz Optional
Lesson 4 - Solving Trigonometric Equations with Restricted Domains
Score: {{cp.lessonAssetIdToProgress[28175].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[28175].bestScoreQuestions}}  Take Quiz Optional
Lesson 5 - Solving Trigonometric Equations with Infinite Solutions
Score: {{cp.lessonAssetIdToProgress[28176].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[28176].bestScoreQuestions}}  Take Quiz Optional
Lesson 6 - Triangles: Definition and Properties
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Lesson 7 - Properties of Inverse Trigonometric Functions
Score: {{cp.lessonAssetIdToProgress[28174].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[28174].bestScoreQuestions}}  Take Quiz Optional
Lesson 8 - What is a Complex Number? - Definition & Properties
Score: {{cp.lessonAssetIdToProgress[210951].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[210951].bestScoreQuestions}}  Take Quiz Optional
Lesson 9 - Complex Numbers in Polar Form: Process & Examples
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Week {{::cp.getGoalWeekForTopic(4, 12)}}
Ch 5. Overview of Coordinate Geometry {{cp.topicAssetIdToProgress[269153].percentComplete}}% complete
Course Progress Best Score
Lesson 1 - How to Find the Equation of a Circle
Score: {{cp.lessonAssetIdToProgress[14993].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[14993].bestScoreQuestions}}  Take Quiz Optional
Lesson 2 - The Focus and Directrix of a Parabola
Score: {{cp.lessonAssetIdToProgress[15537].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[15537].bestScoreQuestions}}  Take Quiz Optional
Lesson 3 - Finding the Equation of a Parabola from the Focus and Directrix
Score: {{cp.lessonAssetIdToProgress[15538].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[15538].bestScoreQuestions}}  Take Quiz Optional
Lesson 4 - Foci and the Definitions of Ellipses and Hyperbolas
Score: {{cp.lessonAssetIdToProgress[15539].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[15539].bestScoreQuestions}}  Take Quiz Optional
Lesson 5 - Conic Sections in Polar & Parametric Forms
Score: {{cp.lessonAssetIdToProgress[27681].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[27681].bestScoreQuestions}}  Take Quiz Optional
Week {{::cp.getGoalWeekForTopic(5, 12)}}
Ch 6. Principles of Calculus {{cp.topicAssetIdToProgress[269157].percentComplete}}% complete
Course Progress Best Score
Lesson 1 - How to Determine the Limits of Functions
Score: {{cp.lessonAssetIdToProgress[187].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[187].bestScoreQuestions}}  Take Quiz Optional
Lesson 2 - Continuity in a Function
Score: {{cp.lessonAssetIdToProgress[167].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[167].bestScoreQuestions}}  Take Quiz Optional
Lesson 3 - Using the Chain Rule to Differentiate Complex Functions
Score: {{cp.lessonAssetIdToProgress[206].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[206].bestScoreQuestions}}  Take Quiz Optional
Lesson 4 - Tangents: Definition & Properties
Score: {{cp.lessonAssetIdToProgress[5881].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[5881].bestScoreQuestions}}  Take Quiz Optional
Lesson 5 - Finding the Normal Line to a Curve: Definition & Equation
Score: {{cp.lessonAssetIdToProgress[8270].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[8270].bestScoreQuestions}}  Take Quiz Optional
Lesson 6 - Finding Minima & Maxima: Problems & Explanation
Score: {{cp.lessonAssetIdToProgress[8263].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[8263].bestScoreQuestions}}  Take Quiz Optional
Lesson 7 - What is L'Hopital's Rule?
Score: {{cp.lessonAssetIdToProgress[224].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[224].bestScoreQuestions}}  Take Quiz Optional
Lesson 8 - Using Integration By Parts
Score: {{cp.lessonAssetIdToProgress[256].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[256].bestScoreQuestions}}  Take Quiz Optional
Lesson 9 - How to Use Trigonometric Substitution to Solve Integrals
Score: {{cp.lessonAssetIdToProgress[260].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[260].bestScoreQuestions}}  Take Quiz Optional
Lesson 10 - How to Integrate Functions With Partial Fractions
Score: {{cp.lessonAssetIdToProgress[258].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[258].bestScoreQuestions}}  Take Quiz Optional
Lesson 11 - Definite Integrals: Definition
Score: {{cp.lessonAssetIdToProgress[242].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[242].bestScoreQuestions}}  Take Quiz Optional
Lesson 12 - Derivation of Formula for Total Surface Area of the Sphere by Integration
Score: {{cp.lessonAssetIdToProgress[269159].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[269159].bestScoreQuestions}}  Take Quiz Optional
Lesson 13 - Derivation of Formula for Volume of the Sphere by Integration
Score: {{cp.lessonAssetIdToProgress[269161].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[269161].bestScoreQuestions}}  Take Quiz Optional
Lesson 14 - Separation of Variables to Solve System Differential Equations
Score: {{cp.lessonAssetIdToProgress[270].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[270].bestScoreQuestions}}  Take Quiz Optional
Week {{::cp.getGoalWeekForTopic(6, 12)}}
Ch 7. Vectors in Algebra {{cp.topicAssetIdToProgress[269167].percentComplete}}% complete
Course Progress Best Score
Lesson 1 - Scalars and Vectors: Definition and Difference
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Lesson 2 - Vector Resolution: Definition & Practice Problems
Score: {{cp.lessonAssetIdToProgress[32174].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[32174].bestScoreQuestions}}  Take Quiz Optional
Lesson 3 - The Dot Product and Vectors: Definition & Formula
Score: {{cp.lessonAssetIdToProgress[33077].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[33077].bestScoreQuestions}}  Take Quiz Optional
Lesson 4 - Finding The Cross Product of Two Vectors
Score: {{cp.lessonAssetIdToProgress[33078].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[33078].bestScoreQuestions}}  Take Quiz Optional
Lesson 5 - Triple Scalar Product: Definition, Formula & Example
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Week {{::cp.getGoalWeekForTopic(7, 12)}}
Ch 8. Mechanics Overview {{cp.topicAssetIdToProgress[269169].percentComplete}}% complete
Course Progress Best Score
Lesson 1 - What is Motion? - Definition & Laws
Score: {{cp.lessonAssetIdToProgress[7685].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[7685].bestScoreQuestions}}  Take Quiz Optional
Lesson 2 - Velocity in Math: Definition, Equation & Problems
Score: {{cp.lessonAssetIdToProgress[8738].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[8738].bestScoreQuestions}}  Take Quiz Optional
Lesson 3 - Understanding Relative Velocity in Kinematics
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Lesson 4 - Composition of Velocity & Acceleration
Score: {{cp.lessonAssetIdToProgress[269171].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[269171].bestScoreQuestions}}  Take Quiz Optional
Lesson 5 - Gravity & Projectile Motion: Physics Lab
Score: {{cp.lessonAssetIdToProgress[37643].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[37643].bestScoreQuestions}}  Take Quiz Optional
Lesson 6 - Conservation of Momentum: Physics Lab
Score: {{cp.lessonAssetIdToProgress[37647].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[37647].bestScoreQuestions}}  Take Quiz Optional
Lesson 7 - Composition & Equilibrium of Coplanar Forces
Score: {{cp.lessonAssetIdToProgress[269175].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[269175].bestScoreQuestions}}  Take Quiz Optional
Lesson 8 - Concurrent & Parallel Forces in Physics
Score: {{cp.lessonAssetIdToProgress[269177].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[269177].bestScoreQuestions}}  Take Quiz Optional
Lesson 9 - Centroid: Definition, Theorem & Formula
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Lesson 10 - Static Friction: Definition, Formula & Examples
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Week {{::cp.getGoalWeekForTopic(8, 12)}}
Ch 9. Aesthetic Sensitivity {{cp.topicAssetIdToProgress[287093].percentComplete}}% complete
Course Progress Best Score
Lesson 1 - What is Aesthetics in Philosophy? - Definition & History
Score: {{cp.lessonAssetIdToProgress[9304].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[9304].bestScoreQuestions}}  Take Quiz Optional
Lesson 2 - What is an Aesthetic Sensitivity Test?
Score: {{cp.lessonAssetIdToProgress[287095].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[287095].bestScoreQuestions}}  Take Quiz Optional
Lesson 3 - How to Solve Visualizing Geometry Problems
Score: {{cp.lessonAssetIdToProgress[173].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[173].bestScoreQuestions}}  Take Quiz Optional
Lesson 4 - Visualizing Relationships Between 2D & 3D Objects
Score: {{cp.lessonAssetIdToProgress[287097].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[287097].bestScoreQuestions}}  Take Quiz Optional
Lesson 5 - Abstract Reasoning: Definition & Examples
Score: {{cp.lessonAssetIdToProgress[10524].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[10524].bestScoreQuestions}}  Take Quiz Optional
Week {{::cp.getGoalWeekForTopic(9, 12)}}
Ch 10. Architectural Awareness {{cp.topicAssetIdToProgress[254501].percentComplete}}% complete
Course Progress Best Score
Lesson 1 - Ancient Egyptian Architects
Score: {{cp.lessonAssetIdToProgress[165655].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[165655].bestScoreQuestions}}  Take Quiz Optional
Lesson 2 - Ancient Chinese Architecture
Score: {{cp.lessonAssetIdToProgress[165683].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[165683].bestScoreQuestions}}  Take Quiz Optional
Lesson 3 - Ancient Indian Architecture: Characteristics, Evolution & Examples
Score: {{cp.lessonAssetIdToProgress[254503].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[254503].bestScoreQuestions}}  Take Quiz Optional
Lesson 4 - The Taj Mahal: History & Architecture
Score: {{cp.lessonAssetIdToProgress[254505].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[254505].bestScoreQuestions}}  Take Quiz Optional
Lesson 5 - Famous Ancient Greek Architects
Score: {{cp.lessonAssetIdToProgress[165705].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[165705].bestScoreQuestions}}  Take Quiz Optional
Lesson 6 - The Parthenon
Score: {{cp.lessonAssetIdToProgress[47357].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[47357].bestScoreQuestions}}  Take Quiz Optional
Lesson 7 - Ancient Roman Architects
Score: {{cp.lessonAssetIdToProgress[165649].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[165649].bestScoreQuestions}}  Take Quiz Optional
Lesson 8 - Comparing the Roman Colosseum & the Theater at Epidaurus
Score: {{cp.lessonAssetIdToProgress[51865].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[51865].bestScoreQuestions}}  Take Quiz Optional
Lesson 9 - Byzantine Architecture: History, Characteristics & Examples
Score: {{cp.lessonAssetIdToProgress[6105].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[6105].bestScoreQuestions}}  Take Quiz Optional
Lesson 10 - Gothic Architecture: Style, Characteristics & History
Score: {{cp.lessonAssetIdToProgress[1092].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[1092].bestScoreQuestions}}  Take Quiz Optional
Lesson 11 - American Neoclassical Architecture: Characteristics & Examples
Score: {{cp.lessonAssetIdToProgress[165665].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[165665].bestScoreQuestions}}  Take Quiz Optional
Lesson 12 - Baroque Architecture: Style, Characteristics & Features
Score: {{cp.lessonAssetIdToProgress[7893].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[7893].bestScoreQuestions}}  Take Quiz Optional
Lesson 13 - Influential 19th & 20th Century Architects
Score: {{cp.lessonAssetIdToProgress[37975].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[37975].bestScoreQuestions}}  Take Quiz Optional
Lesson 14 - Modern Indian Architecture: Characteristics & Examples
Score: {{cp.lessonAssetIdToProgress[254507].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[254507].bestScoreQuestions}}  Take Quiz Optional
Week {{::cp.getGoalWeekForTopic(10, 12)}}
Ch 11. Drawing & Aesthetics {{cp.topicAssetIdToProgress[254499].percentComplete}}% complete
Course Progress Best Score
Lesson 1 - What is an Isometric Drawing? - Definition & Examples
Score: {{cp.lessonAssetIdToProgress[21768].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[21768].bestScoreQuestions}}  Take Quiz Optional
Lesson 2 - One Point Perspective Drawing: Definition & Examples
Score: {{cp.lessonAssetIdToProgress[59066].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[59066].bestScoreQuestions}}  Take Quiz Optional
Lesson 3 - Two-Point Perspective Drawing: Definition & Examples
Score: {{cp.lessonAssetIdToProgress[153737].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[153737].bestScoreQuestions}}  Take Quiz Optional
Lesson 4 - How to Complete Orthogonal Drawings
Score: {{cp.lessonAssetIdToProgress[57291].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[57291].bestScoreQuestions}}  Take Quiz Optional
Lesson 5 - What is a Line of Symmetry in Geometric Shapes?
Score: {{cp.lessonAssetIdToProgress[46822].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[46822].bestScoreQuestions}}  Take Quiz Optional
Lesson 6 - Contour Line in Art: Definition, Drawing & Examples
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Lesson 7 - Analogous Colors: Definition & Examples
Score: {{cp.lessonAssetIdToProgress[17474].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[17474].bestScoreQuestions}}  Take Quiz Optional
Lesson 8 - Monochromatic Color: Definition, Schemes & Examples
Score: {{cp.lessonAssetIdToProgress[17475].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[17475].bestScoreQuestions}}  Take Quiz Optional

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