## These are the Year 10 Maths topics we cover.

• Multiplication and division
• Rounding
• Estimating
• Powers and roots
• Factors and multiples
• Fractions of a quantity
• Fraction, decimal and percentage
• Negative numbers
• Order of operation
• Area and perimeter
• Bar charts
• Pie charts
• Stem and leaf diagrams
• Frequency polygons
• Algebra – collecting like terms
• Averages
• Error intervals
• Addition and subtraction of fractions
• Multiplication of fractions
• Division of fractions
• Sharing between a ratio
• Proportions
• Percentage of an amount
• Percentage increase and decrease
• Percentage change
• Substitution
• Solving equations
• Solving equations with unknown on both sides
• Linear graphs
• Area and circumference of circles
• Transformations
• Area of compound shapes
• Probability
• Two-way tables
• Compound interest and depreciation
• Indices
• HCF and LCM
• Functional maths
• Inequalities
• Forming and solving equations
• Types of sequences
• Generating sequences
• Sequences – Nth term
• Expanding and factorising
• Pythagoras theorem
• Angle problems
• Angles in polygons
• Angles in parallel lines
• Surface area
• Volume of prisms
• Volume and surface area of a cylinder
• Construction and loci
• Bearings
• Calculating averages from frequency tables
• Probability
• Scatter diagrams
• Writing a Ratio as a Fraction or Linear Function
• Direct and Inverse Proportion
• Speed and density
• Reverse Percentages
• Standard form
• Changing the Subject of a Formula
• Solving equations
• Drawing Other Graphs: Cubic/Reciprocal
• Simultaneous equations
• Solving Simultaneous Equations Graphically
• Midpoint of a Line Segment
• Equation of a Line
• Arc lengths and sector area
• Volume and surface area of pyramids, spheres and cones
• Similar Shapes (Lengths)
• Trigonometry
• Exact trigonometric values
• Probability trees
• Venn diagrams
• Vectors
• Recurring Decimals to Fractions
• Fractional and Negative Indices
• The Product Rule for Counting
• Repeated Percentage Change
• Expanding Triple Brackets
• Parallel and Perpendicular Lines
• Length of a line segment
• Inequalities on Graphs
• Similar Shapes (Area and Volume)
• Enlarging with Negative Scale Factors
• Cumulative Frequency
• Circle theorem
• Box and whisker plot
• Direct and Inverse Proportion
• Surds
• Upper and lower bounds
• Algebraic Fractions
• Rearranging Harder Formulae
• Harder Graphs: Trig/Exponential
• Inverse and Composite Functions
• Finding the area of any triangle
• Iteration
• Congruent Triangles
• The sine rule
• The cosine rule
• Venn Diagrams (“Given that” questions)
• 3D Pythagoras
• Histograms
• Transforming Graphs y=f(x)
• Proof
• Completing the Square
• The Nth Term of a Quadratic Sequence