Eureka's School Maths - Topics Covered in Year 10

High School Maths Year 10

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Overview | Topics Covered | Features | Requirements

Topic 1 - Number

Rational Numbers

Operations with Rational Numbers

Estimation with Decimal Numbers

Approximation with Decimal Numbers

Significant Figures

Accuracy of Results

Recurring Decimals

Expressing Recurring Decimals in Fractional Form

Topic 2 - Indices

Index Notation

Index Laws

Negative Indices

Fractional Indices

Scientific Notation

Comparing Numbers Expressed in Scientific Notation

Calculations in Scientific Notation Using the Index Laws

Calculations in Scientific Notation Using the Calculator

Topic 3 - Consumer Arithmetic

Simple Interest

Compound Interest

Compound Interest Formula

Comparison of Simple Interest and Compound Interest

Depreciation

Budget

Profit and Loss

Discounts

Successive Discounts

Paying with Cash

Lay-by

Buying on Terms

Deferred Payment

Interest-Free Terms

Credit Cards

Loan Repayments

Topic 4 - Ratios, Rates & Scale Drawing

Ratios

Simplifying Ratios

Increasing or Decreasing a Quantity in a Given Ratio

Dividing Quantities in a Given Ratio

Proportion

Scale Drawing

Rates

Calculating Rates

Calculating Quantities Using Rates

Converting Rates

Topic 5 - Geometry

Polygons

Internal Angle Sum of a Polygon

External Angle Sum of a Polygon

Congruence

Congruent Triangles

Tests for Congruent Triangles

Proving Congruence

Applications of Congruence Tests

Similarity

Transformations

Similar Triangles

Locus

Topic 6 - Surface Area & Volume

Surface Area

Surface Area of a Right Prism

Surface Area of a Cylinder

Surface Area of Composite Solids

Volume

Volume of a Right Pyramid

Volume of a Right Circular Cone

Volume of a Sphere

Volume of Composite Solids

Capacity

Applications of Surface Area and Volume

Topic 7 - Equations & Inequalities

Linear Equations

Solving Worded Problems Using Linear Equations

Quadratic Equations

Formulae

Inequalities

Graphing Inequalities

Simultaneous Equations

Solving Simultaneous Equations Non-Algebraically

Solving Simultaneous Equations Graphically

Solving Simultaneous Equations Algebraically

Solving Worded Problems Using Simultaneous Equations

Topic 8 – Coordinate Geometry

Coordinates of a Point

Length of an Interval

Midpoint of an Interval

Gradient of a Line

Finding the Gradient of a Line

Parallel Lines

Graphs of Linear Relations

Sketching a Linear Graph

Points Lying on a Line

Horizontal and Vertical Lines

Gradient-Intercept Form of a Linear Equation

General Form of a Linear Equation

Graphs of Non-Linear Relations

The Parabola

The Hyperbola

Topic 9 - Data & Statistics

Features of a Data Display

Measures of Central Tendency

Groups of Data

Histograms and Frequency Polygons Using Grouped Data

Cumulative Frequency Histogram and Polygon

Finding the Median From the Cumulative Frequency Polygon

Quartiles

Measures of Spread

Standard Deviation

Using a Calculator to Find the Mean and Standard Deviation

Box-and-Whisker Plot

Scatter-Plot

Time Series

Topic 10 - Trigonometry

Identifying and Naming the Sides of a Right-Angled Triangle

Ratios of Sides in Similar Right-Angled Triangles

Trigonometric Ratios

The Calculator in Trigonometry

Finding Angles of a Right-Angled Triangle

Finding the Length of a Side of a Right-Angled Triangle

Complementary Angles in Trigonometry

The Tangent Ratio

The Tangent Ratio and the Gradient of a Line

Angles of Elevation and Depression

Directions and Bearings