Math Paper 1 Topics

Paper 1 Topics

• Algebraic Fractions: Simplifying, adding, subtracting, multiplying, and dividing algebraic fractions.
• Box Plots: Drawing and interpreting box plots, including finding the quartiles, median, and interquartile range.
• Completing the Square: Converting quadratic expressions into the form (x + a)^2 + b.
• Equation of a Line: Finding the equation of a line given its gradient and y-intercept or two points on the line.
• Estimation: Using rounding to estimate answers to calculations.
• Fractions: Performing operations with fractions, including addition, subtraction, multiplication, and division.
• Percentages: Calculating percentages, percentage increases and decreases, and finding original values.
• Perimeter: Finding the perimeter of shapes, including triangles, rectangles, and circles.
• Plans and Elevation: Drawing plans and elevations of 3D shapes.
• Probability: Finding the probability of events, including independent and dependent events.
• Product Rule for Counting: Understanding the product rule and how it applies to counting combinations.
• Proof: Writing and understanding mathematical proofs, including proofs by contradiction and induction.
• Ratio: Understanding and using ratios to solve problems.
• Rearranging Formulae: Making a specific variable the subject of a formula.
• Simultaneous Equations: Solving systems of simultaneous equations using elimination or substitution methods.
• Solving Equations: Solving linear, quadratic, and simultaneous equations.
• Surds: Simplifying surds and performing operations with surds.
• Transformations: Understanding and performing translations, reflections, rotations, and enlargements.
• Trigonometry: Using sine, cosine, and tangent to solve right-angled triangles.
• Volume and Surface Area: Calculating the volume and surface area of 3D shapes, including prisms, pyramids, cylinders, cones, and spheres.

Paper 2 Topics

• 3D Trigonometry: Applying trigonometry to solve problems involving 3D shapes.
• Algebraic Fractions: Simplifying, adding, subtracting, multiplying, and dividing algebraic fractions.
• Area of Sector: Calculating the area of a sector of a circle.
• Area of a Circle: Calculating the area of a circle.
• Circle Theorems: Understanding and applying circle theorems to solve problems.
• Cumulative Frequency: Drawing and interpreting cumulative frequency curves, including finding percentiles and quartiles.
• Error Intervals: Understanding and applying error intervals to calculate bounds of values.
• Inequalities: Solving linear and quadratic inequalities.
• Iteration: Using iteration to find approximate solutions to equations.
• Linear Graphs: Drawing and interpreting linear graphs, finding the gradient and y-intercept of a line.
• Probability: Finding the probability of events, including independent and dependent events, conditional probability, and tree diagrams.
• Ratio: Understanding and using ratios to solve problems.
• Rearranging Formulae: Making a specific variable the subject of a formula.
• Sampling: Understanding different sampling methods, including random sampling, stratified sampling, and quota sampling.
• Speed-Time Graphs: Drawing and interpreting speed-time graphs, calculating distance traveled, and acceleration.
• Standard Form: Understanding and using standard form to represent very large or very small numbers.
• Trigonometry: Using sine, cosine, and tangent to solve right-angled triangles and non-right-angled triangles.
• Vectors: Understanding and performing operations with vectors, including addition, subtraction, scalar multiplication, and finding the magnitude of a vector.
• Volume: Calculating the volume of 3D shapes, including prisms, pyramids, cylinders, cones, and spheres.

Paper 3 Topics

• Arc Lengths: Finding the length of an arc of a circle.
• Bearings: Understanding and using bearings to solve problems involving navigation.
• Bounds: Finding the upper and lower bounds of a value given its accuracy.
• Compound Interest: Calculating compound interest and understanding its growth.
• Density: Understanding and calculating density.
• Fractional Indices: Simplifying expressions involving fractional indices.
• Frequency Polygons: Drawing and interpreting frequency polygons.
• Polygons: Understanding and applying properties of polygons, including angles, sides, and diagonals.
• Pythagoras: Using the Pythagorean theorem to solve problems involving right-angled triangles.
• Simultaneous Equations: Solving systems of simultaneous equations using elimination or substitution methods.
• Venn Diagrams: Understanding and using Venn diagrams to solve problems involving sets and probability.