Pearson 4MA1 Higher International GCSE Maths Practice

Graphs

• Coordinates in four quadrants
• Graph Transformations
• Travel Graphs
• Recognising graph shapes
• Key points on exponential and trigonometric graphs
• Quadratic graphs
• Real Life Graphs

Inequalities

• Inequalities on a Number line
• Solving linear inequalities
• Graphical Inequalities

Solving linear equations

• One-step and two-step equations
• Unknowns on both sides
• Equations with brackets
• Equations with fractions

Notation and vocabulary

• Notation conventions
• Vocabulary: expression, equation, formula, identity

Plotting cubic, reciprocal and exponential graphs

• Plotting cubic, reciprocal and exponential graphs

Proof

• Algebraic proof

Solving quadratic equations

• Completing the square
• Factorising to solve ax² + bx + c = 0 (a ≠ 1)
• Factorising to solve x² + bx + c = 0
• The Quadratic Formula

Rearranging formulae

• Rearranging formulae

Sequences

• Arithmetic Sequences

Simultaneous equations

• Linear simultaneous equations
• Linear and Non-linear simultaneous equations

Straight-line graphs

• Equation of Parallel and Perpendicular Lines
• Equations of Straight lines
• Plotting a straight-line graph

Substitution into formulae

• Substitution

Circle chord and tangent properties

• Circle chord and tangent properties

Circle theorems

• The alternate segment theorem
• Circle theorems: tangent and radius
• Cyclic quadrilaterals

Congruence and similarity

• Similar figures: area scale factor
• Similar figures: length scale factor
• Similar figures: volume scale factor
• Geometric Proofs

Constructions and loci

• Construction

Pythagoras' theorem and trigonometry

• 2D Pythagoras
• 3D Pythagoras
• 3D trigonometry
• Right Angled Trigonometry

Quadrilaterals and triangles properties

• Special quadrilateral properties
• Triangle properties

Non-Right Angled Trigonometry

• Cosine rule
• Sine rule
• Area of a triangle using ½ab sin C
• Sine rule: finding an angle (ambiguous case)

Surface area

• Surface area of cones
• Surface area of spheres

Transformations

• Enlargements Positive Scale Factor

Vocabulary and notation

• Circle parts vocabulary
• Conventions, points, lines, and angles
• Polygon properties and symmetry

Volume

• Volume of prisms and cylinders

Fractions and percentages as operators

• Finding a percentage of an amount
• Percentage increase and decrease (percentage method)
• Reverse percentage problems
• Writing one quantity as a fraction of another

Fractions, decimals and percentages: conversion

• Recurring decimals to fractions
• Terminating decimals to fractions

Operations with Fractions

• Adding and Subtracting Fractions
• Dividing fractions
• Multiplying fractions

Ordering and comparing numbers

• Ordering fractions

Powers, roots and indices

• Index Laws
• Squares, cubes and roots

Set language and notation

• Set language and notation

Standard form

• Addition and subtraction with standard form
• Converting between standard and Normal form
• Multiplication and Division with standard form

Ratio notation and sharing

• Best buys
• Linked ratios with a shared term
• Ratio: mixing and concentrations
• Ratio in real contexts: conversion and comparison
• Sharing in a given ratio
• Simplifying ratios
• Three-way ratio redistribution

Scale diagrams and maps

• Map Scales and Scale Diagrams

Similarity and comparing measures

• Comparing areas and volumes using ratio
• Comparing lengths using ratio

Units and compound measures

• Converting standard units
• Density
• Pressure
• Rates of pay
• Speed