IGCSE - Number - Tim Gan Math Online Courses

N1.1 Prime Numbers and Composite Numbers 6 Questions

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N1.1 Conceptual Bridging: Prime Numbers

N1.1 Worked Example 1 (Test for Prime Numbers)

N1.1 Practice Now 1 Question 1

N1.1 Worked Example 2 (Problem Involving a Prime Number)

N1.1 Practice Now 2 Question 1

N1.1 Practice Now 2 Question 2

N1.2 Prime Factorisation and Its Applications 11 Questions

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N1.2 Worked Example 1 (Why and How do we Prime Factorise?)

N1.2 Practice Now 1 Question 1

N1.2 Worked Example 2 (Finding the Square and Cube Roots using Prime Factorisation)

N1.2 Worked Example 3 (Explanation of Perfect Squares and Cubes)

N1.2 Worked Example 4 (Changing a number to a Perfect Cube)

N1.2 Worked Example 5 (Higher Order Thinking Questions)

N1.2 Exercise Question 1

N1.2 Exercise Question 2

N1.2 Exercise Question 3

N1.2 Exercise Question 4

N1.2 Exercise Question 5

N1.3 Highest Common Factor 6 Questions

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N1.3 Worked Example 1 (Introduction to Highest Common Factor)

N1.3 Practice Now 1 Question 1

N1.3 Worked Example 2 (HCF by Prime Factorisation

N1.3 Practice Now 2 Question 1

N1.3 Worked Example 3 (Applications of Highest Common Factor)

N1.3 Worked Example 4 (Applications of Highest Common Factor)

N1.4 Lowest Common Multiples 11 Questions

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N1.4 Worked Example 1 (Lowest Common Multiple Introduction)

N1.4 Worked Example 2 (Lowest Common Multiple Introduction)

N1.4 Practice Now 1 Question 1

N1.4 Worked Example 3 (Applications of LCM)

N1.4 Worked Example 4 (Applications of LCM)

N1.4 Worked Example 5 (Applications of LCM)

N1.4 Exercise Question 1

N1.4 Exercise Question 2

N1.4 Exercise Question 3

N1.4 Exercise Question 4

N1.4 Exercise Question 5

N1.5 Real Numbers 9 Questions

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N1.5.1 Conceptual Bridging: Negative and Positive Numbers

N1.5 Practice Now 1 Question 1

N1.5 Practice Now 1 Question 2

N1.5 Practice Now 1 Question 3

N1.5.2 Conceptual Bridging: Integers

N1.5 Practice Now 2 Question 1

N1.5 Practice Now 2 Question 2

N1.5.3 Conceptual Bridging: Rational and Irrational Numbers

N1.5 Practice Now 3 Question 1

N2.1 Rounding Off 6 Questions

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N2.1 Conceptual Bridging: Rounding Off

N2.1 Worked Example 1 (Rounding Off)

N2.1 Worked Example 2 (Rounding Off)

N2.1 Practice Now 1 Question 1

N2.1 Practice Now 1 Question 2

N2.1 Worked Example 3 (Rounding Off)

N2.2 Significant Figures 4 Questions

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N2.2 Conceptual Bridging: Rules of Significant Figures

N2.2 Worked Example 1 (Rounding off to a Required Number of Significant Figures)

N2.2 Worked Example 2 (Rounding Off to a Required Number of Significant Figures with Use of a Calculator)

N2.2 Worked Example 3 (Application of Significant Figures)

N2.3 Approximation and Estimation 6 Questions

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N2.3 Worked Example 1 (Estimation of Computations using Significant Figures)

N2.3 Practice Now 1 Question 1

N2.3 Worked Example 2 (Better Value for Money)

N2.3 Practice Now 2 Question 1

N2.3 Practice Now 2 Question 2

N2.3 Practice Now 2 Question 3

N2.4 Upper and Lower Bounds

N2.5 Calculating Upper and Lower Bounds (Extended)

N3.1 Addition and Subtraction involving Negative Numbers 7 Questions

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N3.1 Conceptual Bridging 1: Addition involving Negative Numbers

N3.1 Worked Example 1 (Addition involving Negative Numbers)

N3.1 Practice Now 1 Question 1

N3.1 Conceptual Bridging 2: Subtraction involving Negative Numbers

N3.1 Worked Example 2 (Subtraction involving Negative Numbers)

N3.1 Worked Example 3 (Subtraction and Addition of Negative Numbers)

N3.1 Practice Now 3 Question 1

N3.2 Multiplication and Division involving Negative Numbers 5 Questions

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N3.2 Conceptual Bridging: Multiplication involving Negative Numbers

N3.2 Worked Example 1 (Multiplication of Negative Numbers)

N3.2 Practice Now 1 Question 1

N3.2 Worked Example 2 (Division of Negative Numbers)

N3.2 Practice Now 2 Question 1

N3.3 Combined Operations of Numbers 24 Questions

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N3.3 Worked Example 1 (Combined Operations of Numbers)

N3.3 Practice Now 1 Question 1

N3.3 Worked Example 2 (Combined Operations involving Fractions)

N3.3 Practice Now 2 Question 1

N3.3 Practice Now 2 Question 2

N3.3 Worked Example 3 (Multiplication of Decimals)

N3.3 Worked Example 4 (Division of Decimals)

N3.3 Practice Now 3 Question 1

N3.3 Exercise Question 1

N3.3 Exercise Question 2

N3.3 Exercise Question 3

N3.3 Exercise Question 4

N3.3 Exercise Question 5

N3.3 Exercise Question 6

N3.3 Exercise Question 7

N3.3 Exercise Question 8

N3.3 Exercise Question 9

N3.3 Exercise Question 10

N3.3 Exercise Question 11

N3.3 Exercise Question 12

N3.3 Exercise Question 13

N3.3 Exercise Question 14

N3.3 Exercise Question 15

N3.3 Exercise Question 16

N3.4 Applications of Negative Numbers in Real Life 7 Questions

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N3.4 Worked Example 1

N3.4 Practice Now 1 Question 1

N3.4 Practice Now 1 Question 2

N3.4 Exercise Question 1

N3.4 Exercise Question 2

N3.4 Exercise Question 3

N3.4 Exercise Question 4

N4.5 Calculations with Fractions

N4.6 Changing a Fraction to a Decimal

N4.7 Changing a Decimal to a Fraction

N4.8 Recurring Decimals (Extended)

N4.9 Changing a Recurring Decimal to a Fraction (Extended)

N5.1 Basics of Percentages 14 Questions

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N5.1 Conceptual Bridging: Basics of Percentage

N5.1 Worked Example 1 (Conversion of Percentage to Fraction)

N5.1 Practice Now 1 Question 1

N5.1 Worked Example 2 (Conversion of Percentage to Decimal)

N5.1 Practice Now 2 Question 1

N5.1 Worked Example 3 (Conversion to Percentage)

N5.1 Practice Now 3 Question 1

N5.1 Worked Example 4 (Finding Percentages)

N5.1 Practice Now 4 Question 1

N5.1 Practice Now 4 Question 2

N5.1 Practice Now 4 Question 3

N5.1 Worked Example 5 (Finding a Quantity based on its Percentage)

N5.1 Practice Now 5 Question 1

N5.1 Practice Now 5 Question 2

N5.2 Percentage Increase and Decrease 11 Questions

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N5.2 Conceptual Bridging: Percentage Change and Reverse Percentage

N5.2 Worked Example 1 (Finding Percentage Change)

N5.2 Practice Now 1 Question 1

N5.2 Practice Now 1 Question 2

N5.2 Practice Now 1 Question 3

N5.2 Worked Example 2 (Basics of Percentage Change)

N5.2 Practice Now 2 Question 1

N5.2 Worked Example 3 (Percentage Change involving Algebra)

N5.2 Practice Now 3 Question 1

N5.2 Practice Now 3 Question 2

N5.2 Practice Now 3 Question 3

N5.3 Reverse Percentages (Extended) 5 Questions

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N5.3 Worked Example 1 (Reverse Percentage)

N5.3 Practice Now 1 Question 1

N5.3 Practice Now 1 Question 2

N5.3 Worked Example 2 (Reverse Percentage involving Differences)

N5.3 Practice Now 2 Question 1

N6.1 Direct Proportion 18 Questions

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N6.1 Conceptual Bridging: Problem Involving Direct Proportion

N6.1 Worked Example 1

N6.1 Practice Now 1 Question 1

N6.1 Worked Example 2 (Proving Two Variables in Direct Proportion)

N6.1 Practice Now 2 Question 1

N6.1 Worked Example 3 (Finding Equation of Direct Proportions)

N6.1 Worked Example 3 (Essential Steps – Equation of Direct Proportion)

N6.1 Practice Now 3 Question 1

N6.1 Worked Example 4 (Finding Equation of Another Form of Direct Proportion)

N6.1 Practice Now 4 Question 1

N6.1 Worked Example 5 (Application of Direct Proportion)

N6.1 Practice Now 5 Question 1

N6.1 Exercise Question 1

N6.1 Exercise Question 2

N6.1 Exercise Question 3

N6.1 Exercise Question 4

N6.1 Exercise Question 5

N6.1 Exercise Question 6

N6.2 Inverse Proportion 20 Questions

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N6.2 Conceptual Bridging: Problem Involving Inverse Proportion

N6.2 Worked Example 1

N6.2 Practice Now 1 Question 1

N6.2 Worked Example 2 (Proving Two Variables in Inverse Proportion)

N6.2 Practice Now 2 Question 1

N6.2 Worked Example 3 (Essential Steps – Equation of Inverse Proportion)

N6.2 Practice Now 3 Question 1

N6.2 Worked Example 4 (Finding Equation of Another Form of Inverse Proportion)

N6.2 Practice Now 4 Question 1

N6.2 Practice Now 4 Question 2

N6.2 Worked Example 5 (Problem Involving Direct and Inverse Proportion)

N6.2 Practice Now 5 Question 1

N6.2 Worked Example 6 (Application of Inverse Proportion)

N6.2 Practice Now 6 Question 1

N6.2 Exercise Question 1

N6.2 Exercise Question 2

N6.2 Exercise Question 3

N6.2 Exercise Question 4

N6.2 Exercise Question 5

N6.2 Exercise Question 6

N6.3 Increase and Decrease by a given ratio (Extended)

N6.4 Compound Measure

N7.1 Laws of Indices 10 Questions

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N7.1 Conceptual Bridging: Laws of Indices

N7.1 Worked Example 1

N7.1 Worked Example 2

N7.1 Worked Example 3

N7.1 Worked Example 4

N7.1 Worked Example 5

N7.1 Practice Now 1 Question 1

N7.1 Practice Now 1 Question 2

N7.1 Practice Now 1 Question 3

N7.1 Practice Now 1 Question 4

N7.2 Standard Form 15 Questions

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N7.2 Conceptual Bridging 1: Standard Form

N7.2 Worked Example 1 (Standard Form)

N7.2 Worked Example 2 (Standard Form)

N7.2 Conceptual Bridging 2: Common Prefixes

N7.2 Worked Example 3 (Common Prefixes in our Daily Life)

N7.2 Worked Example 4 (Common Prefixes in our Daily Life)

N7.2 Worked Example 5 (Common Prefixes in our Daily Life)

N7.2 Practice Now 1 Question 1

N7.2 Practice Now 1 Question 2

N7.2 Practice Now 1 Question 3

N7.2 Practice Now 1 Question 4

N7.2 Practice Now 1 Question 5

N7.2 Practice Now 1 Question 6

N7.2 Practice Now 1 Question 7

N7.2 Practice Now 1 Question 8

N7.3 Zero and Negative Indices 13 Questions

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N7.3 Conceptual Bridging 1: Zero Indices

N7.3 Worked Example 1

N7.3 Worked Example 2

N7.3 Conceptual Bridging 2: Negative Indices

N7.3 Worked Example 3

N7.3 Worked Example 4

N7.3 Conceptual Bridging 3: Extension of Laws of Indices to Zero and Negative Indices

N7.3 Worked Example 5

N7.3 Practice Now 1 Question 1

N7.3 Practice Now 1 Question 2

N7.3 Practice Now 1 Question 3

N7.3 Practice Now 1 Question 4

N7.3 Practice Now 1 Question 5

N7.4 Fractional Indices (Extended) 22 Questions

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N7.4 Conceptual Bridging 1: Positive nᵗʰ Root

N7.4 Worked Example 1

N7.4 Conceptual Bridging 2: Rational Indices

N7.4 Worked Example 2

N7.4 Worked Example 3

N7.4 Worked Example 4

N7.4 Worked Example 5

N7.4 Conceptual Bridging 3: Equations involving Indices

N7.4 Worked Example 6

N7.4 Worked Example 7

N7.4 Worked Example 8

N7.4 Worked Example 9

N7.4 Practice Now 1 Question 1

N7.4 Practice Now 1 Question 2

N7.4 Practice Now 1 Question 3

N7.4 Practice Now 1 Question 4

N7.4 Practice Now 1 Question 5

N7.4 Practice Now 1 Question 6

N7.4 Practice Now 1 Question 7

N7.4 Practice Now 1 Question 8

N7.4 Practice Now 1 Question 9

N7.4 Practice Now 1 Question 10

N8.1 Currency Conversions

N8.2 Profit and Loss 12 Questions

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N8.2 Conceptual Bridging: Profit and Loss

N8.2 Worked Example 1 (Finding Profit/Loss as a Percentage of Cost Price/Selling Price)

N8.2 Practice Now 1 Question 1

N8.2 Practice Now 1 Question 2

N8.2 Worked Example 2 (Finding Selling Price after Profit/Loss)

N8.2 Practice Now 2 Question 1

N8.2 Worked Example 3 (Finding Cost Price)

N8.2 Practice Now 3 Question 1

N8.2 Practice Now 3 Question 2

N8.2 Practice Now 3 Question 3

N8.2 Worked Example 4 (Application in Real Life)

N8.2 Practice Now 4 Question 1

N8.3 Interest 4 Questions

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N8.3 Conceptual Bridging: Recall what is a Simple Interest

N8.3 Worked Example 1 (Simple Interest)

N8.3 Practice Now 1 Question 1

N8.3 Practice Now 1 Question 2

N8.4 Compound Interest (Extended) 12 Questions

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N8.4 Conceptual Bridging: Compound Interest

N8.4 Worked Example 1 (Compound Interest)

N8.4 Worked Example 2 (Problem involving Simple and Compound Interest)

N8.4 Worked Example 3 (Problem involving Compound Interest)

N8.4 Practice Now 1 Question 1

N8.4 Practice Now 1 Question 2

N8.4 Practice Now 1 Question 3

N8.4 Practice Now 1 Question 4

N8.4 Practice Now 1 Question 5

N8.4 Practice Now 1 Question 6

N8.4 Practice Now 1 Question 7

N8.4 Practice Now 1 Question 8

N9.1 Time

N10.1 Introduction to Set Notations

N10.2 Union of Two Sets 3 Questions

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N10.2 Conceptual Bridging

N10.2 Worked Example 1

N10.2 Practice Now 1 Question 1

N10.3 Intersection of Two Sets 3 Questions

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N10.3 Conceptual Bridging

N10.3 Worked Example 1

N10.3 Practice Now 1 Question 1

N10.4 Intersection and Union of Two Sets 12 Questions

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N10.4 Worked Example 1-1

N10.4 Worked Example 1-2

N10.4 Worked Example 1-3

N10.4 Worked Example 1-4

N10.4 Practice Now 1 Question 1-1

N10.4 Practice Now 1 Question 1-2

N10.4 Practice Now 1 Question 1-3

N10.4 Practice Now 1 Question 1-4

N10.4 Practice Now 1 Question 2-1

N10.4 Practice Now 1 Question 2-2

N10.4 Practice Now 1 Question 2-3

N10.4 Practice Now 1 Question 2-4

N10.5 Relationships between Sets (Extended)

N10.6 Complement of a Set and Empty Set (Extended)

N10.7 Subset and Proper Subset (Extended)

IGCSE – Number

Course Content

N1.0 Number and Language

Course Includes