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.

This quiz covers essential topics from Paper 1, including algebraic fractions, box plots, and completing the square. Additionally, you'll explore equations of lines, estimation techniques, and calculations involving fractions and percentages. Perfect for students looking to consolidate their understanding of these foundational math concepts.