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
