Syllabus of Conquer Maths

The Number System I
1. Place Value - Writing The Numeral
2. Writing The Place Value
3. Expanded Notation Using 10, 100, etc.
4. Expanded Notation Using Powers
5. Expanded Notation As A Numeral
6. Order Of Operations I
7. Order Of Operations II
8. Number Properties
9. Rounding Off
10. Topic Test

The Number System II
1. Primes & Composites
2. HCF By Inspection
3. Multiples
4. LCM By Inspection
5. Prime Factor Decomposition
6. HCF Using Factor Trees
7. LCM Using Factor Trees
8. The Square Root
9. The Cube Root
10. Averages I
11. Averages II
12. Topic Test

Fractions
1. Equivalent Fractions
2. Simplifying Fractions
3. Mixed Numerals To Improper Fractions
4. Improper Fractions To Mixed Numerals
5. Addition With Equal Denominators
6. Subtraction With Equal Denominators
7. Addition With Different Denominators
8. Subtraction With Different Denominators
9. Addition With Mixed Numerals
10. Subtraction With Mixed Numerals
11. Fractions Of Whole Numbers
12. Multiplication
13. Division
14. Multiplication & Division With Mixed Numerals
15. Quantities As Fractions Of Others
16. Topic Test

Decimals
1. Introduction To Decimals
2. Comparing Size
3. Addition
4. Subtraction
5. Multiplication
6. Multiplication & Division By 10, 100, etc.
7. Division By A Whole Number
8. Division By A Decimal
9. Converting Fractions To Decimals I
10. Converting Fractions To Decimals II
11. Rounding Off Decimals
12. Topic Test

Percentages
1. Percentages As Fractions
2. Percentages As Decimals
3. Fractions & Decimals As Percentages
4. Percentages Of Quantities
5. Topic Test

Integers
1. Understanding Positive And Negative Integers
2. Ordering Integers
3. Using The Number Line
4. Addition & Subtraction
5. Multiplication
6. Division
7. Order of Operations
8. Topic Test

Problem Solving
1. Simpler Number Problems
2. The Unitary Method
3. Guess & Check
4. Using A Diagram
5. Making A List
6. Looking For Patterns
7. Solving A Simpler Problem First
8. Working Backwards
9. Acting It Out
10. Eliminating Possibilities
11. Topic Test

The Calculator & Percentages
1. Using The Calculator I
2. Using The Calculator II
3. Using The Calculator III
4. Percentages As Fractions
5. Percentages As Decimals
6. Fractions & Decimals As Percentages
7. Quantities As Percentages Of Others
8. Percentages Of Quantities
9. Increasing By A Percentage
10. Decreasing By A Percentage
11. The Unitary Method
12. Topic Test

Ratio
1. Simplifying I
2. Simplifying II
3. Short Stories
4. Equivalent Ratios
5. Problem Questions
6. Dividing Quantities In A Given Ratio
7. Using Scale
8. Topic Test

Rates
1. Simplifying
2. Problems I
3. Problems II
4. Topic Test

Number Applications
1. Simple Interest
2. Discounts
3. Profit & Loss
4. Commission
5. Topic Test

Algebra I
1. Substitution I
2. Substitution II
3. Completing Number Patterns I
4. Completing Number Patterns II
5. Identifying Number Patterns I
6. Identifying Number Patterns I
7. Identifying Number Patterns III
8. The nth Term Of A Sequence
9. Like Terms
10. Addition & Subtraction I
11. Addition & Subtraction II
12. Multiplication
13. Division
14. Topic Test

The Number Plane
1. Identifying Plotted Points
2. Plotting Points
3. Straight Line Graphs Using Tables
4. The Midpoint
5. The Gradient
6. Equation Of A Straight Line
7. Topic Test

Algebra II
1. Multiplication With Indices
2. Division With Indices
3. Raising Powers
4. Grouping Symbols I
5. Grouping Symbols II
6. Grouping Symbols III
7. Grouping Symbols IV
8. Grouping Symbols V
9. Generalised Arithmetic
10. Binomial Expansions
11. Perfect Squares
12. Difference Of Two Squares
13. Factorisation By A Common Factor
14. Topic Test

Equations
1. Understanding Equations
2. One-Step Involving Addition & Subtraction
3. One-Step Involving Division
4. One-Step Involving Multiplication
5. Two-Step Equations
6. Pronumerals On Both Sides
7. Equations With Brackets I
8. Equations With Brackets II
9. Equations With Brackets III
10. Equations Involving Fractions I
11. Equations Involving Fractions II
12. Equations Involving Substitution
13. Inequations
14. Simultaneous Equations
15. Changing The Subject
16. Solving Problems Using Equations
17. Topic Test

Measurement
1. Length Conversions I
2. Length Conversions II
3. Metric & Imperial Conversions
4. Perimeter I
5. Perimeter II
6. Time Conversions
7. Time Difference
8. our Time
9. Mass
10. Bearings And Angles I
11. Bearings And Angles II
12. Topic Test

Area
1. Rectangles & Squares
2. Triangles I
3. Triangles II
4. Composite Shapes
5. Further Composite Shapes
6. Parallelograms
7. Trapeziums
8. Rhombus & Kites
9. Topic Test

Volume
1. Prisms
2. Composite Prisms
3. Topic Test

Measurement & The Circle
1. The Parts Of A Circle
2. Circumference Of A Circle
3. Perimeter Of A Sector
4. Area Of A Circle
5. Area Of A Sector
6. Volume Of A Cylinder
7. Topic Test

Transformations & Solids
1. The Axis Of Symmetry
2. Transformations: Reflections
3. Transformations: Translations
4. Transformations: Rotations
5. Rotational Symmetry
6. Solid Shapes
7. Nets Of Solid Shapes
8. Topic Test

Geometry
1. Angle Types
2. Angles On A Straight Line
3. Vertically-Opposite Angles & Angles At A Point
4. Parallel Lines
5. Angle Sum Of A Triangle
6. Angle Sum Of A Polygon
7. Mixed Examples On Angles
8. Exterior Angle Of A Triangle
9. Special Triangles
10. Tests For Congruent Triangles
11. Topic Test

Constructions
1. Bisecting A Line
2. Bisecting An Angle
3. Regular Polygons
4. Constructing Angles I
5. Constructing Angles II
6. Perpendicular Lines
7. Polygons
8. Topic Test

Pythagoras' Theorem
1. Finding The Hypotenuse I
2. Finding The Hypotenuse II
3. Finding A Shorter Side
4. Composite Shapes I
5. Composite Shapes II
6. Problem Questions
7. Pythagorean Triads
8. Topic Test

Statistics
1. The Range & The Mode
2. The Median
3. The Mean
4. Frequency Distribution Tables
5. Finding The Mean From A Table
6. Finding The Median From A Table
7. Frequency Histograms & Polygons
8. Probability Basics
9. Topic Test

Representing Data
1. Bar Graphs
2. Column Graphs
3. Line Graphs
4. Pie Graphs
5. Step Graphs
6. Travel Graphs
7. Topic Test

Standard Form
1. Changing Numerals To Standard Form
2. Changing From Standard Form To Numerals
3. Significant Figures
4. Using A Calculator
5. Topic Test

Applications Of Number
1. Discounts
2. Profit & Loss
3. Best Buys
4. Commission & Piecework
5. Simple Interest
6. Compound Interest
7. Depreciation
8. Loans
9. Buying On Terms
10. Topic Test

Rates & Variation
1. Calculating Distance
2. Calculating Time
3. Calculating Speed
4. Converting Rates
5. Problem Solving Using Rates
6. Direct Variation
7. Inverse Variation
8. Topic Test

Surds
1. Simplification I
2. Simplification II
3. Multiplication
4. Division
5. Addition & Subtraction
6. Mixed Examples
7. Binomial Products
8. Special Products I
9. Special Products II
10. Rationalising The Denominator I
11. Rationalising The Denominator II
12. Topic Test

Indices
1. Multiplication With Indices
2. Division With Indices
3. Raising Powers
4. Zero Index
5. Mixed Examples
6. Negative Indices
7. Fractional Indices
8. Topic Test

Algebraic Expansions
1. Binomial Expansions I
2. Binomial Expansions II
3. Perfect Squares
4. Difference Of Two Squares
5. Mixed Examples
6. Topic Test

Factorisation
1. Common Factor
2. Monic Quadratics I
3. Monic Quadratics II
4. Monic Quadratics III
5. Non-Monic Quadratics I
6. Non-Monic Quadratics II
7. Difference Of Two Squares I
8. Difference Of Two Squares II
9. Grouping In Pairs I
10. Grouping In Pairs II
11. Grouping In Pairs III
12. Mixed Examples
13. Topic Test

Algebraic Fractions
1. Simplifying I
2. Simplifying II
3. Multiplication I
4. Multiplication II
5. Division I
6. Division II
7. Addition & Subtraction I
8. Addition & Subtraction II
9. Addition & Subtraction III
10. Topic Test

Equations & Inequations
1. Solving Linear Equations
2. Solving Problems Using Equations
3. Equations Involving Fractions I
4. Equations Involving Fractions II
5. Equations Involving Fractions III
6. Inequations
7. Inequations Involving Fractions
8. Equations With Squares & Cubes
9. Trial & Improvement
10. Topic Test

Formulae
1. Generalised Arithmetic I
2. Generalised Arithmetic II
3. Recurring Decimals To Fractions
4. The nth Term Of A Sequence I
5. The nth Term Of A Sequence II
6. Changing The Subject I
7. Changing The Subject II
8. Topic Test

Linear Functions I
1. Graphing Straight Lines Using X & Y Intercepts
2. The Gradient Of A Straight Line
3. The Equation Of A Straight Line
4. Finding The Equation Given A Diagram
5. Horizontal & Vertical Lines
6. Topic Test

Linear Functions II
1. Distance Between Points
2. The Distance Formula
3. The Midpoint
4. The Gradient Formula
5. General Form Of A Straight Line
6. The Point-Gradient Formula
7. Equation Of A Line Given Two Points
8. Testing Points On A Line
9. Tests For Parallel & Perpendicular Lines
10. Equation Of A Parallel Line
11. Equation Of A Perpendicular Line
12. Proving Results
13. Topic Test

Quadratic Equations
1. Factored Equations
2. Unfactored Equations I
3. Unfactored Equations II
4. Quadratic Formula I
5. Quadratic Formula II
6. Quadratic Formula III
7. Completing The Square
8. Problem Solving
9. Problem Solving Using Graphs
10. Topic Test

Simultaneous Equations
1. Elimination Method I
2. Elimination Method II
3. Elimination Method III
4. Substitution Method I
5. Substitution Method II
6. Substitution Method III
7. Problem Solving
8. Topic Test

Loci
1. Sketching Parabolas I
2. Vertex & Axis Of Symmetry
3. Sketching Parabolas II
4. Hyperbola, Cubic & Exponential Graphs
5. Circles With Centre At Origin
6. Circles With Centre At (a,b)
7. Circles With Centre On An Axis
8. Transformation Of Graphs
9. Solving Equations Graphically
10. Topic Test

Linear Inequalities
1. Identifying Linear Inequalities
2. Graphing Linear Inequalities
3. Intersecting Linear Inequalities I
4. Intersecting Linear Inequalities II
5. Topic Test

Geometry I
1. Parallel Lines
2. Isosceles Triangles
3. Exterior Angle Of Triangles
4. Exterior Angles Of Polygons
5. Reasoning In Geometry I
6. Reasoning In Geometry II
7. Compass Bearings
8. Three-Figure Bearings
9. Bearings And Angles I
10. Bearings And Angles II
11. Geometry Proofs
12. Topic Test

Trigonometry
1. The Trigonometric Ratios
2. Finding A Side I
3. Finding A Side II
4. Finding A Side III
5. Finding An Angle
6. Degrees & Minutes I
7. Degrees & Minutes II
8. Angles Of Elevation & Depression
9. Compass Questions I
10. Compass Questions II
11. Graphs Of Trigonometric Functions
12. Topic Test

Geometry II
1. Tests For Congruent Triangles
2. Proofs Using SSS
3. Proofs Using AAS
4. Proofs Using SAS
5. Proofs Using RHS
6. Deductions Using Congruent Triangles I
7. Deductions Using Congruent Triangles II
8. Deductions Using Congruent Triangles III
9. Similar Figures I
10. Similar Figures II
11. Similar Triangles I
12. Similar Triangles II
13. Topic Test

Enlargements & Shapes
1. Square & Cubic Measures
2. Error In Measurement
3. Finding The Area Given Dimensions
4. Finding The Dimension Given Areas
5. Problem Solving
6. Finding The Volume Given Dimensions
7. Finding The Dimensions Given Volumes
8. Topic Test

Further Trigonometry
1. The Sine Rule When Finding A Side
2. The Sine Rule When Finding An Angle
3. The Cosine Rule When Finding A Side
4. The Cosine Rule When Finding An Angle I
5. The Cosine Rule When Finding An Angle II
6. Area Of A Triangle I
7. Area Of A Triangle II
8. Three-Dimensional Problems I
9. Three-Dimensional Problems II
10. Compass Questions
11. Trigonometric Equations I
12. Trigonometric Equations II
13. Topic Test

Volume & Surface Area
1. Volume Of A Pyramid
2. Volume Of A Cone I
3. Volume Of A Cone II
4. Volume Of A Sphere
5. Capacity
6. Surface Area Of Cubes & Cuboids
7. Surface Area Of Triangular Prisms
8. Surface Area Of Cylinders
9. Surface Area Of Pyramids
10. Surface Area Of Spheres
11. Surface Area Of Cones
12. Topic Test

Circle Properties
1. Definitions & Terms
2. Chord Properties
3. Angles At The Centre
4. Angles On The Same Arc
5. Angle In A Semi-Circle
6. Cyclic Quadrilaterals
7. Tangents Properties
8. Angle In The Alternate Segment
9. Topic Test

Vectors
1. Introduction
2. Vector Arithmetic
3. Geometric Applications
4. Topic Test

Statistics
1. Sampling Techniques
2. Stem & Leaf Plots I
3. Stem & Leaf Plots II
4. Scatter Graphs & Correlation
5. Moving Averages
6. Line of Best Fit
7. Two-Way Tables
8. Box & Whisker Plots
9. Cumulative Frequency Graphs
10. Median & Interquartile Range
11. Topic Test

Probability
1. Probability Basics
2. Experimental Probability
3. Making A List
4. Tree Diagrams
5. Product & Addition Rules
6. Probability Trees
7. Topic Test