Course curriculum

  • 1

    Welcome Information

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    • Maths Study & Practice

    • Contents

  • 2

    1. Number

    • N1 Place Value (Grade 1)

    • N2 Ordering Integers (Grade 1)

    • N3 Ordering Decimals (Grade 1)

    • N4 Reading Scales (Grade 1)

    • N5 Simple Mathematical Notation (Grade 1)

    • N6a Interpreting Real-Life Tables (Grade 1)

    • N6b Interpreting Real-Life Tables (Grade 1)

    • N17 Adding Integers and Decimals (Grade 2)

    • N18 Subtracting Integers and Decimals (Grade 2)

    • N19 Multiplying Integers (Grade 2)

    • N20 Dividing Integers (Grade 2)

    • N21 Inverse Operations (Grade 2)

    • N22a Money Questions NC (Grade 2)

    • N22b Money Questions C (Grade 2)

    • N23 Negatives in Real Life (Grade 2)

    • N24 Introduction to Fractions (Grade 2)

    • N25 Equivalent Fractions (Grade 2)

    • N26 Simplifying Fractions (Grade 2)

    • N27 Half-Way Values (Grade 2)

    • N28 Factors, Multiples and Primes (Grade 2)

    • N29 Introduction to Powers-Indices (Grade 2)

    • N30 Multiply and Divide by Powers of 10 (Grade 2)

    • N31 Rounding to the Nearest 10, 100, 1000 (Grade 2)

    • N32 Rounding to Decimal Places (Grade 2)

    • N66 Multiplying Decimals (Grade 3)

    • N67 Dividing Decimals (Grade 3)

    • N68a Adding and Subtracting Negatives (Grade 3)

    • N68b Multiplying and Dividing Negatives (Grade 3)

    • N69 Listing Strategies (Grade 3)

    • N70 Comparing Fractions (Grade 3)

    • N71a Adding and Subtracting Fractions (Grade 3)

    • N72 Finding a Fraction of an Amount (Grade 3)

    • N73 Multiplying Fractions (Grade 3)

    • N74 Dividing Fractions (Grade 3)

    • N75 BODMAS-BIDMAS (Grade 3)

    • N76 Reciprocals (Grade 3)

    • N77 Calculator Questions (Grade 3)

    • N78 Product of Primes (Grade 3)

    • N79 Highest Common Factor (Grade 3)

    • N80 Lowest Common Multiple (Grade 3)

    • N81 Squares, Cubes and Roots

    • N82 Working with Indices (Grade 3)

    • N83 Standard Form (Grade 3)

    • N84 Decimals and Fractions (Grade 3)

    • N85 Fractions, Percentages, Decimals (Grade 3)

    • N86 Percentage of an Amount with a Calculator (Grade 3)

    • N87 Percentage of an Amount without a Calculator (Grade 3)

    • N88 Change to a Percentage with a Calculator (Grade 3)

    • N89 Change to a Percentage without a Calculator (Grade 3)

    • N90 Rounding to Significant Figures (Grade 3)

    • N91 Estimating Answers (Grade 3)

    • N92 Using Place Value (Grade 3)

    • N131 Index Notation (Grade 4)

    • N132 Introduction to Bounds (Grade 4)

    • N154 Negative Indices (Grade 5)

    • N155 Error Intervals (Grade 5)

    • N156 Mathematical Reasoning (Grade 5)

    • N177 Recurring Decimals to Fractions (Grade 6)

    • N188 Fractional Indices (Grade 7)

    • N189 Recurring Decimals - Proof (Grade 7)

    • N206 Upper and Lower Bounds (Grade 8-9)

    • N207a Introduction to Surds (Grade 8-9)

    • N207b Surd Expressions (Grade 8-9)

    • N207c Rationalising the Denominator (Grade 8-9)

  • 3

    2. Algebra

    • A7 Introduction to Algebraic Conventions (Grade 1)

    • A8 Coordinates (Grade 1)

    • A33 Simplifying - Addition and Subtraction (Grade 2)

    • A34 Simplifying - Multiplication (Grade 2)

    • A35 Simplifying - Division (Grade 2)

    • A36 Function Machines (Grade 2)

    • A37 Generating a Sequence - Term to Term (Grade 2)

    • A93 Expanding Brackets (Grade 3)

    • A94 Simple Factorisation (Grade 3)

    • A95 Substitution (Grade 3)

    • A96 Straight Line Graphs (Grade 3)

    • A97 The Gradient of a Line (Grade 3)

    • A98 Drawing Quadratic Graphs (Grade 3)

    • A99 Sketching Functions (Grade 3)

    • A100 Solving Equations using Flowcharts (Grade 3)

    • A101 Subject of a Formula using Flowcharts (Grade 3)

    • A102 Generate a Sequence from the nth Term (Grade 3)

    • A103 Finding the nth Term (Grade 3)

    • A104 Special Sequences (Grade 3)

    • A133 Midpoint of a Line on a Graph (Grade 4)

    • A134a Expanding and Simplifying Brackets (Grade 4)

    • A134b Expanding and Simplifying Brackets (Grade 4)

    • A135a Solving Equations - Balancing (Grade 4)

    • A135b Solving Equations - Float and Ping (Grade 4)

    • A136 Rearranging Simple Formulae (Grade 4)

    • A137 Forming Formulae and Equations (Grade 4)

    • A138 Inequalities on a Number Line (Grade 4)

    • A139 Solving Linear Inequalities (Grade 4)

    • A140 Simultaneous Equations Graphically (Grade 4)

    • A141 Fibonacci Sequences (Grade 4)

    • A157 Factorising and Solving Quadratics (Grade 5)

    • A158 The Difference of Two Squares (Grade 5)

    • A159a Finding the Equation of a Straight Line (Grade 5)

    • A159b Finding the Equation of a Straight Line (Grade 5)

    • A160 Roots and Turning Points of Quadratics (Grade 5)

    • A161 Cubic and Reciprocal Graphs (Grade 5)

    • A162 Simultaneous Equations Algebraically (Grade 5)

    • A163 Geometric Progressions (Grade 5)

    • A178 Product of Three Binomials (Grade 6)

    • A179 Iteration - Trial and Improvement (Grade 6)

    • A180 Iterative Processes (Grade 6)

    • A190 Rearranging Difficult Formulae (Grade 7)

    • A191 Solving Quadratics with the Formula (Grade 7)

    • A192 Factorising Hard Quadratics (Grade 7)

    • A193 Algebraic Proof (Grade 7)

    • A194 Exponential Functions (Grade 7)

    • A195a Trigonometric Graphs - Sine and Cosine (Grade 7)

    • A195b Trigonometric Graphs - Tangent (Grade 7)

    • A196a Transformation of Functions (Grade 7)

    • A196b Transformation of Functions (Grade 7)

    • A197 Equation of a Circle (Grade 7)

    • A198 Regions (Grade 7)

    • A208 Perpendicular Lines (Grade 8-9)

    • A209a Completing the Square - Basics (Grade 8-9)

    • A209b Completing the Square - Solving (Grade 8-9)

    • A209c Completing the Square - Sketching (Grade 8-9)

    • A210a Algebraic Fractions - Simplifying (Grade 8-9)

    • A210b Algebraic Fractions - Solving (Grade 8-9)

    • A211 Simultaneous Equations with a Quadratic (Grade 8-9)

    • A212 Solving Quadratic Inequalities (Grade 8-9)

    • A213 Finding the nth Term of a Quadratic (Grade 8-9)

    • A214a Inverse Functions (Grade 8-9)

    • A214b Inverse Functions (Grade 8-9)

    • A215 Composite Functions (Grade 8-9)

    • A216a Interpreting Graphs - Velocity-Time Graphs (Grade 8-9)

    • A216b Interpreting Graphs - Rate of Change (Grade 8-9)

  • 4

    3. Ratio

    • R38 Introduction to Ratio (Grade 2)

    • R39 Using Ratio for Recipe Questions (Grade 2)

    • R40 Introduction to Percentages (Grade 2)

    • R41 Value for Money (Grade 2)

    • R42 Introduction to Proportion (Grade 2)

    • R105 Exchanging Money (Grade 3)

    • R106 Sharing using Ratio (Grade 3)

    • R107 Ratios, Fractions and Graphs (Grade 3)

    • R108 Increase-Decrease by a Percentage (Grade 3)

    • R109 Percentage Change (Grade 3)

    • R110 Reverse Percentage Problems (Grade 3)

    • R111 Simple Interest (Grade 3)

    • R142 Compound Units (Grade 4)

    • R143 Distance-Time Graphs (Grade 4)

    • R144 Similar Shapes (Grade 4)

    • R164 Compound Interest and Depreciation (Grade 5)

    • R165a Ratio Questions - Standard Questions.(Grade 5)

    • R165b Ratio Questions - Questions with Overlap.(Grade 5)

    • Clip 165c Ratio Questions - Ratios Fractions Equations.(Grade 5)

    • R199 Direct and Inverse Proportion (Grade 7)

    • R200a Advanced Ratio Questions - Standard Questions.(Grade 7)

    • R200b Advanced Ratio Questions - Ratios to Equations.(Grade 7)

    • R200c Advanced Ratio Questions - Equations to Ratios.(Grade 7)

  • 5

    4. Geometry

    • G9 Simple Geometric Definitions (Grade 1)

    • G10 Polygons (Grade 1)

    • G11 Symmetries (Grade 1)

    • G12a Tessellations (Grade 1)

    • G12b Congruent Shapes (Grade 1)

    • G13 Names of Angles (Grade 1)

    • G43 Properties of Solids (Grade 2)

    • G44 Nets (Grade 2)

    • G45 Angles on a Line and at a Point (Grade 2)

    • G46a Measuring Angles (Grade 2)

    • G46b Drawing Angles (Grade 2)

    • G47 Drawing a Triangle using a Protractor (Grade 2)

    • G48 Reflections (Grade 2)

    • G49 Rotations (Grade 2)

    • G50 Translations (Grade 2)

    • G51 Plans and Elevations (Grade 2)

    • G52 Perimeters (Grade 2)

    • G53 Area of a Rectangle (Grade 2)

    • G54 Area of a Triangle (Grade 2)

    • G55 Area of a Parallelogram (Grade 2)

    • G56 Area of a Trapezium (Grade 2)

    • G112 Metric Conversions (Grade 3)

    • G113 Problems on Coordinate Axes (Grade 3)

    • G114a Surface Area of a Prism - Cuboids (Grade 3)

    • G114b Surface Area of a Prism - Triangular Prisms (Grade 3)

    • G115 Volume of a Cuboid (Grade 3)

    • G116 Circle Definitions (Grade 3)

    • G117 Area of a Circle (Grade 3)

    • G118 Circumference of a Circle (Grade 3)

    • G119 Volume of a Prism (Grade 3)

    • G120 Angles and Parallel Lines (Grade 3)

    • G121 Angles in a Triangle (Grade 3)

    • G122 Properties of Special Triangles (Grade 3)

    • G123 Angle Sum of Polygons (Grade 3)

    • G124 Bearings (Grade 3)

    • G145a Constructing Perpendiculars - Bisecting a Line (Grade 4)

    • G145b Constructing Perpendiculars - From any Point (Grade 4)

    • G145c Bisecting an Angle (Grade 4)

    • G146 Loci (Grade 4)

    • G147 Drawing a Triangle using Compasses (Grade 4)

    • G148 Enlargements (Grade 4)

    • G149 Tangents, Arcs, Sectors and Segments (Grade 4)

    • G150a Pythagoras Theorem - Simple Approach (Grade 4)

    • G150b Pythagoras Theorem - Algebraic Approach (Grade 4)

    • G150c Pythagoras' Theorem - Line on a Graph (Grade 4)

    • G166 Congruent Triangles(Grade 5)

    • G167 Sectors of a Circle (Grade 5)

    • G168 Trigonometry (Grade 5)

    • G169 Spheres (Grade 5)

    • G170 Pyramids (Grade 5)

    • G171 Cones (Grade 5)

    • G172 Frustums (Grade 5)

    • G173 Exact Trigonometric Values (Grade 5)

    • G174 Introduction to Vectors (Grade 5)

    • G181a Enlargement - Negative Scale Factor (Grade 6)

    • G181b Enlargement - Negative Scale Factor (Grade 6)

    • G182 Combinations of Transformations (Grade 6)

    • G182Combinations of Transformations

    • G183 Circle Theorems (Grade 6)

    • G184 Proof of Circle Theorems (Grade 6)

    • G201 Similarity - Area and Volume (Grade 7)

    • G202a The Sine Rule (Grade 7)

    • G202b The Cosine Rule (Grade 7)

    • G203 Area of a Triangle Using Sine (Grade 7)

    • G217 Pythagoras in 3D (Grade 8-9)

    • G218 Trigonometry in 3D (Grade 8-9)

    • G219 Vectors (Grade 8-9)

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    5. Probability

    • P14 The Probability Scale (Grade 1)

    • P15 Tally Charts and Bar Charts (Grade 1)

    • P16 Pictograms (Grade 1)

    • P57 Frequency Trees (Grade 2)

    • P58 Listing Outcomes (Grade 2)

    • P59 Calculating Probabilities (Grade 2)

    • P60 Mutually Exclusive Events (Grade 2)

    • P61 Two-Way Tables(Grade 2)

    • P62 Averages and the Range (Grade 2)

    • P63 Data - Discrete and Continuous (Grade 2)

    • P64 Vertical Line Charts (Grade 2)

    • P65a Frequency Diagrams (Grade 2)

    • P125 Experimental Probabilities (Grade 3)

    • P126 Possibility Spaces (Grade 3)

    • P127a Venn Diagrams - Introduction (Grade 3)

    • P127b Venn Diagrams - Notation (Grade 3)

    • P128a Pie Charts (Grade 3)

    • P128b Stem and Leaf Diagrams (Grade 3)

    • P129 Scatter Diagrams (Grade 3)

    • P130a Averages From a Table (Grade 3)

    • P130b Averages From a Table (Grade 3)

    • P151 Simple Tree Diagrams (Grade 4)

    • P152 Sampling Populations (Grade 4)

    • P153 Time Series (Grade 4)

    • P175 Harder Tree Diagrams (Grade 5)

    • P176 Stratified Sampling (Grade 5)

    • P185 Probability using Venn Diagrams (Grade 6)

    • P186 Cumulative Frequency (Grade 6)

    • P187 Boxplots (Grade 6)

    • P204 And and Or Probability Questions (Grade 7)

    • P205 Histograms (Grade 7)

    • P205 Histograms (Grade 7)

  • 7

    6. Answers

    • Worksheets Answers