# Cambridge Pre-U Mathematics - Short Course: Practice & Study Guide

• Course type: Self-paced
• Available Lessons: 134
• Average Lesson Length: 8 min
• Eligible for Certificate: Certificate completed Yes

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• Cambridge Pre-U Mathematics - Short Course: Practice & Study Guide Practice Test

### Course Summary

This course is a flexible way to study the topics you'll need to know for the Cambridge Pre-U Mathematics - Short Course exam. Our lessons and quizzes can be accessed on any computer or mobile device to make studying convenient.
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#### 16 chapters in Cambridge Pre-U Mathematics - Short Course: Practice & Study Guide

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, 16)}}
Ch 1. Cambridge Pre-U Math Short Course: Quadratic Equations {{cp.topicAssetIdToProgress[61887].percentComplete}}% complete
Course Progress Best Score
Lesson 1 - How to Find the Square Root of a Number
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Lesson 2 - Simplifying Square Roots When not a Perfect Square
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Lesson 3 - Simplifying Expressions Containing Square Roots
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Lesson 4 - Discriminant: Definition & Explanation
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Lesson 5 - Parabolas in Standard, Intercept, and Vertex Form
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Lesson 6 - Multiplying Binomials Using FOIL and the Area Method
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Lesson 7 - How to Factor Quadratic Equations: FOIL in Reverse
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Lesson 8 - How to Complete the Square
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Lesson 9 - How to Solve a Quadratic Equation by Factoring
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Lesson 10 - How to Use the Quadratic Formula to Solve a Quadratic Equation
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Lesson 11 - How to Solve Quadratics That Are Not in Standard Form
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Lesson 12 - Graphing & Solving Quadratic Inequalities: Examples & Process
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Lesson 13 - Graphing a System of Quadratic Inequalities: Examples & Process
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Lesson 14 - Solving Systems of Nonlinear Equations in Two Variables
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Ch 2. Cambridge Pre-U Math Short Course: Coordinate Geometry {{cp.topicAssetIdToProgress[61888].percentComplete}}% complete
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Lesson 1 - The Cartesian Coordinate System: Plotting Points & Graphing Lines
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Lesson 2 - How to Use The Midpoint Formula
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Lesson 3 - How to Use The Distance Formula
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Lesson 4 - Calculating the Slope of a Line: Point-Slope Form, Slope-Intercept Form & More
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Lesson 5 - Linear Equations: Intercepts, Standard Form and Graphing
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Lesson 6 - Equation of a Line Using Point-Slope Formula
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Lesson 7 - Parallel, Perpendicular and Transverse Lines
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Lesson 8 - Graphs of Parallel and Perpendicular Lines in Linear Equations
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Lesson 9 - What is a System of Equations?
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Lesson 10 - Horizontal and Vertical Asymptotes
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Lesson 11 - How to Find the Equation of a Circle
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Lesson 12 - Transformations in Math: Definition & Graph
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Lesson 13 - What is Translation in Math? - Definition, Examples, & Terms
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Week {{::cp.getGoalWeekForTopic(2, 16)}}
Ch 3. Cambridge Pre-U Math Short Course: Sequences & Series {{cp.topicAssetIdToProgress[61889].percentComplete}}% complete
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Lesson 1 - How to Use Series and Summation Notation: Process and Examples
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Lesson 2 - Using Sigma Notation for the Sum of a Series
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Lesson 3 - How to Use the Binomial Theorem to Expand a Binomial
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Lesson 4 - Binomial Theorem Practice Problems
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Week {{::cp.getGoalWeekForTopic(3, 16)}}
Ch 4. Cambridge Pre-U Math Short Course: Exponentials & Logarithms {{cp.topicAssetIdToProgress[61890].percentComplete}}% complete
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Lesson 1 - What Is an Exponential Function?
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Lesson 2 - Exponential Growth vs. Decay
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Lesson 3 - What is a Logarithm?
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Lesson 4 - Exponentials, Logarithms & the Natural Log
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Lesson 5 - How to Evaluate Logarithms
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Lesson 6 - Logarithmic Properties
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Lesson 7 - Practice Problems for Logarithmic Properties
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Lesson 8 - How to Solve Exponential Equations
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Lesson 9 - How to Solve Logarithmic Equations
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Lesson 10 - Using the Change-of-Base Formula for Logarithms: Definition & Example
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Week {{::cp.getGoalWeekForTopic(4, 16)}}
Ch 5. Cambridge Pre-U Math Short Course: Differentiation {{cp.topicAssetIdToProgress[61891].percentComplete}}% complete
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Lesson 1 - Slopes and Rate of Change
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Lesson 2 - Average and Instantaneous Rates of Change
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Lesson 3 - Derivatives: The Formal Definition
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Lesson 4 - Derivatives: Graphical Representations
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Lesson 5 - What It Means To Be 'Differentiable'
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Lesson 6 - Using Limits to Calculate the Derivative
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Lesson 7 - The Linear Properties of a Derivative
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Lesson 8 - How to Determine Maximum and Minimum Values of a Graph
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Lesson 9 - Using Differentiation to Find Maximum and Minimum Values
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Lesson 10 - Using the Derivatives of Natural Base e & Logarithms
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Week {{::cp.getGoalWeekForTopic(5, 16)}}
Ch 6. Cambridge Pre-U Math Short Course: Integration {{cp.topicAssetIdToProgress[61893].percentComplete}}% complete
Course Progress Best Score
Lesson 1 - Definite Integrals: Definition
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Lesson 2 - Linear Properties of Definite Integrals
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Lesson 3 - The Fundamental Theorem of Calculus
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Lesson 4 - Indefinite Integrals as Anti Derivatives
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Lesson 5 - Calculating Integrals of Simple Shapes
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Week {{::cp.getGoalWeekForTopic(6, 16)}}
Ch 7. Cambridge Pre-U Math Short Course: Data Summarization {{cp.topicAssetIdToProgress[61894].percentComplete}}% complete
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Lesson 1 - What is the Center in a Data Set? - Definition & Options
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Lesson 2 - Mean, Median & Mode: Measures of Central Tendency
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Lesson 3 - How to Calculate Mean, Median, Mode & Range
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Lesson 4 - Visual Representations of a Data Set: Shape, Symmetry & Skewness
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Lesson 5 - Measures of Dispersion and Skewness
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Lesson 6 - Unimodal & Bimodal Distributions: Definition & Examples
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Lesson 7 - Spread in Data Sets: Definition & Example
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Lesson 8 - Maximums, Minimums & Outliers in a Data Set
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Lesson 9 - Quartiles & the Interquartile Range: Definition, Formulate & Examples
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Lesson 10 - Finding Percentiles in a Data Set: Formula & Examples
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Lesson 11 - Calculating the Standard Deviation
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Lesson 12 - Population & Sample Variance: Definition, Formula & Examples
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Week {{::cp.getGoalWeekForTopic(7, 16)}}
Ch 8. Cambridge Pre-U Math Short Course: Correlation & Regression {{cp.topicAssetIdToProgress[61895].percentComplete}}% complete
Course Progress Best Score
Lesson 1 - What is Bivariate Data? - Definition & Examples
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Lesson 2 - Creating & Interpreting Scatterplots: Process & Examples
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Lesson 3 - Simple Linear Regression: Definition, Formula & Examples
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Lesson 4 - Problem Solving Using Linear Regression: Steps & Examples
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Lesson 5 - Analyzing Residuals: Process & Examples
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Lesson 6 - Interpreting the Slope & Intercept of a Linear Model
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Lesson 7 - Spearman's Rank Correlation Coefficient
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Lesson 8 - The Correlation Coefficient: Definition, Formula & Example
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Lesson 9 - Correlation vs. Causation: Differences & Definition
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Lesson 10 - Interpreting Linear Relationships Using Data: Practice Problems
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Week {{::cp.getGoalWeekForTopic(8, 16)}}
Ch 9. Cambridge Pre-U Math Short Course: Binomial Distribution {{cp.topicAssetIdToProgress[61897].percentComplete}}% complete
Course Progress Best Score
Lesson 1 - Binomial Experiments: Definition, Characteristics & Examples
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Lesson 2 - Finding Binomial Probabilities Using Formulas: Process & Examples
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Lesson 3 - Practice Problems for Finding Binomial Probabilities Using Formulas
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Lesson 4 - Finding Binomial Probabilities Using Tables
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Lesson 5 - Mean & Standard Deviation of a Binomial Random Variable: Formula & Example
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Lesson 6 - Solving Problems with Binomial Experiments: Steps & Example
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Week {{::cp.getGoalWeekForTopic(9, 16)}}
Ch 10. Cambridge Pre-U Math Short Course: Normal Distribution {{cp.topicAssetIdToProgress[61898].percentComplete}}% complete
Course Progress Best Score
Lesson 1 - Normal Distribution: Definition, Properties, Characteristics & Example
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Lesson 2 - Finding Z-Scores: Definition & Examples
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Lesson 3 - Estimating Areas Under the Normal Curve Using Z-Scores
Score: {{cp.lessonAssetIdToProgress[14813].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[14813].bestScoreQuestions}}  Take Quiz Optional
Lesson 4 - Estimating Population Percentages from Normal Distributions: The Empirical Rule & Examples
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Lesson 5 - Using the Normal Distribution: Practice Problems
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Lesson 6 - Using Normal Distribution to Approximate Binomial Probabilities
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Week {{::cp.getGoalWeekForTopic(10, 16)}}
Ch 11. Cambridge Pre-U Math Short Course: Sampling {{cp.topicAssetIdToProgress[61899].percentComplete}}% complete
Course Progress Best Score
Lesson 1 - What is Random Sampling? - Definition, Conditions & Measures
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Lesson 2 - Simple Random Samples: Definition & Examples
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Lesson 3 - Stratified Random Samples: Definition, Characteristics & Examples
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Lesson 4 - Cluster Random Samples: Definition, Selection & Examples
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Lesson 5 - Systematic Random Samples: Definition, Formula & Advantages
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Lesson 6 - Understanding the Law of Large Numbers
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Lesson 7 - Sampling Distributions & the Central Limit Theorem: Definition, Formula & Examples
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Lesson 8 - Find the Mean & Standard Error of the Sampling Distribution
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Lesson 9 - Finding Probabilities About Means Using the Central Limit Theorem
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Week {{::cp.getGoalWeekForTopic(11, 16)}}
Ch 12. Cambridge Pre-U Math Short Course: Statistical Estimation {{cp.topicAssetIdToProgress[61900].percentComplete}}% complete
Course Progress Best Score
Lesson 1 - Point & Interval Estimations: Definition & Differences
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Lesson 2 - Calculating Confidence Intervals, Levels & Coefficients
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Lesson 3 - Finding Confidence Intervals with the Normal Distribution
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Lesson 4 - Determining the Sample Size to Estimate Confidence Intervals: Definition & Process
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Lesson 5 - Student t Distribution: Definition & Example
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Lesson 6 - Using the t Distribution to Find Confidence Intervals
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Lesson 7 - Biased & Unbiased Estimators: Definition & Differences
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Lesson 8 - Finding Confidence Intervals for Proportions: Formula & Example
Score: {{cp.lessonAssetIdToProgress[58550].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[58550].bestScoreQuestions}}  Take Quiz Optional
Lesson 9 - Confidence Intervals: Mean Difference from Two Independent Samples
Score: {{cp.lessonAssetIdToProgress[61910].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[61910].bestScoreQuestions}}  Take Quiz Optional
Lesson 10 - Confidence Intervals: Mean Difference from Two Independent Samples & Equal Variance
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Week {{::cp.getGoalWeekForTopic(12, 16)}}
Ch 13. Cambridge Pre-U Math Short Course: Hypothesis Testing {{cp.topicAssetIdToProgress[61901].percentComplete}}% complete
Course Progress Best Score
Lesson 1 - What is Hypothesis Testing? - Definition, Steps & Examples
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Lesson 2 - Conducting Hypothesis Testing for a Mean: Process & Examples
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Lesson 3 - Effect Size in Hypothesis Testing: Definition & Interpretation
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Lesson 4 - Type I & Type II Errors in Hypothesis Testing: Differences & Examples
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Lesson 5 - The Relationship Between Confidence Intervals & Hypothesis Tests
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Lesson 6 - Hypothesis Testing Large Independent Samples
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Lesson 7 - What Are t-Tests? - Assessing Statistical Differences Between Groups
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Lesson 8 - Hypothesis Testing Matched Pairs
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Lesson 9 - Hypothesis Testing for a Proportion
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Lesson 10 - Hypothesis Testing for a Difference Between Two Proportions
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Ch. 15
Cambridge Pre-U Math Short Course: Non-Parametric Tests
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Ch. 16
Cambridge Pre-U Mathematics - Short Course Flashcards
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