Learn & Master

Contents

1. Numbers and Counting

1.1. Counting Numbers

1.2. Even and Odd Numbers

1.3. Prime Numbers

1.4. Place Value (Units, Tens, Hundreds)

1.5. Comparing Numbers (Greater, Less, Equal)

1.6. Patterns and Sequences

1.7 Rounding and Estimation

3. Shapes and Geometry

3.1. 2D Shapes (Circle, Triangle, Square, Rectangle, Pentagon, Hexagon)

3.2. 3D Shapes (Cube, Sphere, Cone, Cylinder, Pyramid, Prism)

3.3. Symmetry, Lines, Angles

3.4 Perimeter and Area

3.5 Volume and Surface Area

3.6 Coordinate Geometry

3.7 Transformations (Translation, Rotation, Reflection)

4. Fractions

4.1. Understanding Halves and Quarters

4.2. Simple Fractions

4.3. Comparing Fractions

4.4. Adding and Subtracting Fractions

4.5 Multiplying and Dividing Fractions

4.6 Decimals

4.7 Converting Between Fractions, Decimals & Percentages

4.8 Percentage Problems

5. Measurements

5.1. Length (Centimeters, m, ft, Inches)

5.2. Weight (Kilograms, g, Pounds)

5.3. Money (Coins, Bills and Currency Conversion)

5.4 Temperature and Thermometers

5.5 Units and Conversions

6. Introduction to Algebra

6.1. Understanding Variables

6.2. Simple Equations

6.3. Patterns in Algebra

6.4 Expanding and Simplifying Expressions

6.5 Solving Inequalities

6.6 Graphs and Functions

6.7 Introduction to Linear Equations

7. Data & Graphs

7.1. Reading Bar Graphs

7.2. Pie Charts

7.3. Pictograms

7.4. Simple Data Collection

7.5. Organizing Data in Tables

7.6 Averages (Mean, Median, Mode, Range)

7.7 Introduction to Probability

8. Problem Solving

8.1. Word Problems with Addition and Subtraction

8.2. Multiplication and Division Problems

8.3. Mixed Operation Problems

8.4. Logical Puzzles

8.5 Math Riddles

8.6 Critical Thinking Tasks

9. Smart Quiz Zone*

10. Number & Arithmetic

10.1 Prime Factorization

10.2 Highest Common Factor (HCF) and Lowest Common Multiple (LCM)

10.3 Standard Form and Scientific Notation

10.4 Estimation and Approximation

10.5 Laws of Indices

10.6 Surds (Square roots and irrational numbers)

10.7 Ratio, Proportion, and Rates

11. Algebra

11.1 Simplifying Expressions

11.2 Solving Linear Equations

11.3 Solving Simultaneous Equations

11.4 Expanding & Factorising

11.5 Algebraic Fractions

11.6 Quadratic Equations (Factorising, Formula, Completing the Square)

11.7 Inequalities

11.8 Sequences and nth Term

11.9 Graphs of Linear, Quadratic & Cubic Equations

11.10 Functions & Composite Functions

11.11 Algebraic Proof

11.12 Binomial Expansions

12. Geometry & Measure

12.1 Angles in Polygons and Circles

12.2 Congruence and Similarity

12.3 Constructions and Loci

12.4 Pythagoras’ Theorem

12.5 Trigonometry (SOHCAHTOA)

12.6 Trigonometric Graphs

12.7 Sine Rule & Cosine Rule

12.8 Area & Volume of 2D and 3D Shapes

12.9 Vectors

12.10 Transformations and Enlargement

13. Statistics

13.1 Data Collection and Sampling

13.2 Frequency Tables and Histograms

13.3 Averages (Mean, Median, Mode)

13.4 Box Plots and Cumulative Frequency

13.5 Stem-and-Leaf Diagrams

13.6 Scatter Graphs & Correlation

13.7 Time Series and Trends

14. Probability

14.1 Basic Probability & Language

14.2 Probability Scale & Sample Spaces

14.3 Independent and Dependent Events

14.4 Tree Diagrams

14.5 Conditional Probability

14.6 Venn Diagrams and Set Notation

15. Financial Mathematics

15.1 Interest (Simple and Compound)

15.2 Tax, Wages, and Bills

15.3 Currency Conversion

15.4 Budgeting and Saving

15.5 Profit, Loss, Discounts

15.6 Depreciation and Loans

16. Advanced Algebra & Calculus

16.1 Rational and Polynomial Functions

16.2 Exponential and Logarithmic Functions

16.3 Limits and Continuity

16.4 Differentiation (Basics to Applications)

16.5 Integration (Basics to Area Under Curves)

16.6 Parametric Equations

16.7 Implicit Differentiation

16.8 Differential Equations

17. Advanced Geometry and Trigonometry

17.1 Circular Measure (Radians)

17.2 Advanced Trig Identities

17.3 3D Vectors

17.4 Coordinate Geometry in 3D

17.5 Complex Numbers

18. Matrices and Transformations

18.1 Matrix Basics

18.2 Matrix Multiplication

18.3 Inverse and Determinant

18.4 Transformations Using Matrices

18.5 Complex Numbers

19. Smart Quiz Zone 2