Maths Exam Qs by Topic

GCSE Maths - OCR Higher

This page allows you to get ready for exams by practising real past exams papers.

Contents

Section 1 - Number

Section 2 - Algebra

Section 3 - Graphs

Section 4 - Ratio, Proportion and Rates of Change

Section 5 - Geometry and Measures

Section 6 - Pythagoras and Trigonometry

Section 7 - Probability and Statistics

Section 1 - Number
Addition and Subtraction
Multiplication and Division
Place Value
Negative Numbers
The Order of Operations
Factors, Multiples and Primes
Prime Factors, HCF and LCM
Fractions
Writing, Simplifying and Ordering Fractions
Fractions of an Amount
Fractions, Decimals and Percentages
Converting Recurring Decimals to Fractions
Rounding Numbers
Estimation
Bounds
Standard Form
Calculation Problems
Using a Calculator
Section 2 - Algebra
Simplifying Algebra
Powers and Roots
More on Powers / Indices
Expanding Triple Brackets
Surds
Solving Equations
Solving Equations using Substitution
Forming and Solving Equations
Changing the Subject of a Formula
Rearranging Harder Formulae
Writing an Expression
Expanding and Factorising
Expanding and Factorising Quadratics
Solving Quadratics
Quadratic Formula
Factorising Harder Quadratics
Completing the Square
Algebraic Fractions
Sequences (Nth. Term)
Quadratic Sequences
Inequalities
Inequalities on Graphs
Quadratic Inequalities
Solving Equations using Iteration
Simultaneous Equations
Quadratic Simultaneous Equations
Proof
Function Machines
Section 3 - Graphs
Gradient of a Line
Equation of a Line
Linear Graphs
Coordinates
Parallel and Perpendicular Lines
Perpendicular Lines
Quadratic Graphs
Harder Graphs: Trigonometric and Exponential
Solving Simultaneous Equations Graphically
Transforming Graphs y=f(x)
Real Life and Distance Time Graphs
Velocity-Time Graphs
Cubic/Recipricoal Graphs
Inverse and Composite Functions
Section 4 - Ratio, Proportion and Rates of Change
Writing and Simplifying Ratio
Sharing Ratio
Writing a Ratio as a Fraction or Linear Function
Writing a Ratio as a Fraction or Linear Function 2
Proportion
Direct and Inverse Proportion
Direct and Inverse Proportion 2
Exchange Rates
Best Buy Questions
Percentages
Percentage Change
Reverse Percentages
Repeated Percentage Change
Compound Interest and Depreciation
Conversions and Units
Compound Measures
Time
Section 5 - Geometry and Measures
Angles
Angles in Parallel Lines
Angles in Polygons
Circle Theorems
Proof of the Circle Theorems
Congruent Triangles
Rotations
Reflections
Enlargements
Enlarging with Negative Scale Factors
Translations
Mixed Transformations
Area and Perimeter
Finding the Area of Any Triangle
Area of Compound Shapes
Area and Circumference of Circles
Surface Area
Volume of Prisms
Volume and Surface Area of Cylinders
Spheres and Cones
Sectors and Arcs
Similar Shapes (Area and Volume)
Similar Shapes (Lengths)
Loci and Construction
Bearings
Scale Drawings
Plans and Elevation
Section 6 - Pythagoras and Trigonometry
Pythagoras
SOHCAHTOA
Trigonometry Exact Values
The Sine Rule
The Cosine Rule
3D Pythagoras and Trigonometry
Vectors
Vectors Proof
Section 7 - Probability and Statistics
Writing Probability and The Probability Scale
Two Way Tables
Probability and Relative Frequency
Probability Trees
Probability Equation
The Product Rule for Counting
Frequency Trees
Averages from Frequency Tables
Conditional Probability
Venn Diagrams
Mean, Median, Mode and Range
Frequency Polygons
Box Plots
Cumulative Frequency
Histograms
Scatter Graphs
Bar Charts
Stem and Leaf
Pie Charts