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OCR GCSE Maths Revision

Prior to 2017 OCR ran two syllabuses; Mathematics A and Mathematics B. Like other exam boards, OCR has two exam tiers. If you’re not sure which exam tier (foundation or higher) your child is sitting, check with your child or their teacher.

EdPlace’s GCSE exam-style questions and practice papers help your child hone their exam-technique and prepare them for anything the exam may throw at them.


Activity

Apply Horizontal Translations to a Graph Using y = f(x + a)

Difficulty level

Activity

Interpret the Gradient and Intercept of a Straight Line

Difficulty level

Activity

Apply Transformations to a Graph Using y = af(x)

Difficulty level

Activity

Apply Transformations to a Graph Using y = -f(x) and y = f(-x)

Difficulty level

Activity

Apply Transformations to a Graph Using y = f(ax)

Difficulty level

Activity

Apply Vertical Translations to Graphs Using y = f(x) ± a

Difficulty level

Activity

Estimate the Gradient of a Curve

Difficulty level

Activity

Find Approximate Solutions to Quadratics Using a Graph

Difficulty level

Activity

Find Perpendicular Lines

Difficulty level

Activity

Find the Area Under a Curve

Difficulty level

Activity

Find the Equation of a Line

Difficulty level

Activity

Find the Equation of a Straight Line

Difficulty level

Activity

Find the Gradient Between Two Points

Difficulty level

Activity

Find the Midpoint

Difficulty level

Activity

Identify and Interpret the Significant Points of a Quadratic Graph

Difficulty level

Activity

Identify Parallel Lines

Difficulty level

Activity

Identify Transformations with Trigonometric Graphs

Difficulty level

Activity

Interpret Distance-Time Graphs

Difficulty level

Activity

Interpret Real Life Exponential Graphs

Difficulty level

Activity

Interpret Real Life Reciprocal Graphs

Difficulty level

Activity

Interpret Speed-Time Graphs

Difficulty level

Activity

Plot Quadratic Graphs

Difficulty level

Activity

Recognise and Interpret Quadratic Graphs

Difficulty level

Activity

Recognise and Interpret Simple Cubic and Reciprocal Graphs

Difficulty level

Activity

Recognise and Interpret Simple Exponential Graphs

Difficulty level

Activity

Recognise and Interpret the Cosine Graph

Difficulty level

Activity

Recognise and Interpret the Sine Graph

Difficulty level

Activity

Recognise and Interpret the Tangent Graph

Difficulty level

Activity

Recognise Horizontal and Vertical Lines Using x and y Coordinates

Difficulty level

Activity

Sketch Quadratics From Their Functions

Difficulty level

Activity

Understand Conversion Graphs

Difficulty level

Activity

Use Algebra to Identify the Roots of a Quadratic

Difficulty level

Activity

Use Algebra to Identify the Turning Point of a Quadratic

Difficulty level

Activity

Use the Equation for a Circle

Difficulty level

Activity

Use the Equation of a Tangent to a Circle

Difficulty level

Activity

Work with Coordinates in Four Quadrants

Difficulty level

Activity

Work with Coordinates in One Quadrant

Difficulty level

Activity

Add and Subtract Decimals

Difficulty level

Activity

Add and Subtract Fractions with Different Denominators

Difficulty level

Activity

Add and Subtract Fractions with the Same Denominator

Difficulty level

Activity

Cancel Fractions when Multiplying

Difficulty level

Activity

Convert Improper Fractions into Mixed Numbers

Difficulty level

Activity

Convert Mixed Numbers into Improper Fractions

Difficulty level

Activity

Convert Ratios to Fractions

Difficulty level

Activity

Divide Decimals

Difficulty level

Activity

Divide Fractions

Difficulty level

Activity

Find Equivalent Fractions

Difficulty level

Activity

Find One Number as a Percentage of Another

Difficulty level

Activity

Find Percentage Change, Including Profit

Difficulty level

Activity

Find Percentages of an Amount Using a Multiplier

Difficulty level

Activity

Find the Original Amount Before a Percentage Change

Difficulty level

Activity

Increase or Decrease by a Percentage (using a multiplier)

Difficulty level

Activity

Multiply Decimals

Difficulty level

Activity

Multiply Fractions

Difficulty level

Activity

Order Decimals

Difficulty level

Activity

Order Fractions Using Bar Modelling

Difficulty level

Activity

Order Fractions, Decimals and Percentages

Difficulty level

Activity

Understand One Amount as a Fraction of Another

Difficulty level

Activity

Use Fractions as Operators

Difficulty level

Activity

Use Multiplicative Relationships

Difficulty level

Activity

Add and Subtract Mentally

Difficulty level

Activity

Add Directed Numbers

Difficulty level

Activity

Add Integers Using the Column Method

Difficulty level

Activity

Change Units in Algebraic Contexts

Difficulty level

Activity

Convert Compound Units

Difficulty level

Activity

Convert Metric Units of Area

Difficulty level

Activity

Convert Metric Units of Volume

Difficulty level

Activity

Divide Integers

Difficulty level

Activity

Find Factors

Difficulty level

Activity

Find HCF and LCM Using a Venn Diagram

Difficulty level

Activity

Find Inverse Operations

Difficulty level

Activity

Find Mass, Density and Volume

Difficulty level

Activity

Find Multiples of Numbers

Difficulty level

Activity

Find Pressure, Force and Area

Difficulty level

Activity

Find Prime Factors

Difficulty level

Activity

Find Speed, Distance and Time

Difficulty level

Activity

Find the Highest Common Factor

Difficulty level

Activity

Find the Lowest Common Multiple (LCM)

Difficulty level

Activity

Multiply and Divide Directed Numbers

Difficulty level

Activity

Multiply Using the Grid Method

Difficulty level

Activity

Order Indices, Roots and Reciprocals

Difficulty level

Activity

Recognise Prime Numbers

Difficulty level

Activity

Subtract Directed Numbers

Difficulty level

Activity

Subtract Using the Column Method

Difficulty level

Activity

Understand Metric Units of Capacity

Difficulty level

Activity

Understand Metric Units of Length

Difficulty level

Activity

Understand Metric Units of Mass

Difficulty level

Activity

Understand Place Value

Difficulty level

Activity

Use Place Value in Given Calculations

Difficulty level

Activity

Use Time Calculations

Difficulty level

Activity

Using BODMAS / BIDMAS

Difficulty level

Activity

Analyse Questionnaires

Difficulty level

Activity

Draw and Use Lines of Best Fit

Difficulty level

Activity

Draw Cumulative Frequency Diagrams

Difficulty level

Activity

Draw Histograms

Difficulty level

Activity

Draw Pie Charts

Difficulty level

Activity

Find Outliers in Scatter Graphs and Frequency Distributions

Difficulty level

Activity

Find Quartiles from a Distribution

Difficulty level

Activity

Find the Mean

Difficulty level

Activity

Find the Mean from a Frequency Table

Difficulty level

Activity

Find the Mean from a Grouped Frequency Table

Difficulty level

Activity

Find the Median

Difficulty level

Activity

Find the Median from Frequency Tables

Difficulty level

Activity

Find the Mode

Difficulty level

Activity

Find the Mode and Median from a Frequency Table

Difficulty level

Activity

Find the Range

Difficulty level

Activity

Interpret and Construct Box Plots

Difficulty level

Activity

Interpret Cumulative Frequency Diagrams

Difficulty level

Activity

Interpret Pictograms

Difficulty level

Activity

Interpret Pie Charts

Difficulty level

Activity

Manipulate Time Series Data

Difficulty level

Activity

Recognise Correlation and Causation

Difficulty level

Activity

Select an Appropriate Chart

Difficulty level

Activity

Solve Problems with Histograms

Difficulty level

Activity

Understand Bar Charts

Difficulty level

Activity

Understand Interpolation and Extrapolation in Scatter Diagrams

Difficulty level

Activity

Understand Population Sampling

Difficulty level

Activity

Understand Vertical Line Charts

Difficulty level

Activity

Use Frequency Tables

Difficulty level

Activity

Use Statistics to Compare Distributions

Difficulty level

Activity

Use Two-way Tables in Statistics

Difficulty level

Activity

Apply Advanced Conditional Probability

Difficulty level

Activity

Apply Algebra to Tree Diagrams

Difficulty level

Activity

Create and Use Tree Diagrams

Difficulty level

Activity

Create Frequency Trees For Probability

Difficulty level

Activity

Describe Probability

Difficulty level

Activity

Explore Experimental Probability

Difficulty level

Activity

Find Probabilities Using Equally Likely Outcomes

Difficulty level

Activity

Find Theoretical Probabilities

Difficulty level

Activity

Identify Exhaustive Events

Difficulty level

Activity

Identify Mutually Exclusive Events

Difficulty level

Activity

Understand Set Notation

Difficulty level

Activity

Understand Set Notation with Venn Diagrams

Difficulty level

Activity

Understand Systematic Listing

Difficulty level

Activity

Understand the Probability Scale

Difficulty level

Activity

Understand Two Event Probability

Difficulty level

Activity

Use Multiplicative Counting

Difficulty level

Activity

Use Sample Space Diagrams

Difficulty level

Activity

Use Systematic Listing Strategies

Difficulty level

Activity

Use Tables to Record Probability

Difficulty level

Activity

Use Tree Diagrams with Conditional Probability

Difficulty level

Activity

Use Two-Way Tables to Find Probabilities

Difficulty level

Activity

Use Venn Diagrams for Probability

Difficulty level

Activity

Apply Algebraic Notation to Vectors

Difficulty level

Activity

Describe All Transformations

Difficulty level

Activity

Describe Congruent Transformations

Difficulty level

Activity

Enlarge 2D Shapes

Difficulty level

Activity

Enlarge from a Given Point

Difficulty level

Activity

Enlarge Using a Fractional Scale Factor

Difficulty level

Activity

Enlarge Using a Negative Scale Factor

Difficulty level

Activity

Find the Area of Similar Shapes

Difficulty level

Activity

Identify Invariant Points

Difficulty level

Activity

Identify Reflective Symmetry

Difficulty level

Activity

Identify Similar Shapes

Difficulty level

Activity

Recognise Rotational Symmetry

Difficulty level

Activity

Reflect in a Given Line

Difficulty level

Activity

Rotate a Shape

Difficulty level

Activity

Translate an Object

Difficulty level

Activity

Understand and Draw Vectors

Difficulty level

Activity

Volume Scale Factor - Simple Problems

Difficulty level

Activity

Apply Alternate Segment Theorem

Difficulty level

Activity

Apply Chords and Radii

Difficulty level

Activity

Apply Circle Theorems to Solve Problems

Difficulty level

Activity

Apply Congruence Rules

Difficulty level

Activity

Apply Cyclic Quadrilateral Theorem

Difficulty level

Activity

Apply Tangents to a Circle

Difficulty level

Activity

Apply the Angles Around the Centre of a Circle Rule

Difficulty level

Activity

Apply the Angles in the Same Segment Rule

Difficulty level

Activity

Apply the Properties of Quadrilaterals

Difficulty level

Activity

Apply Theorem relating to Angles Subtended from the Diameter

Difficulty level

Activity

Calculate Angle Sizes Within Polygons

Difficulty level

Activity

Calculate External Angles of a Polygon

Difficulty level

Activity

Calculate Interior and Supplementary Angles

Difficulty level

Activity

Change Units in Algebraic Contexts

Difficulty level

Activity

Convert Compound Units

Difficulty level

Activity

Convert Metric Units of Area

Difficulty level

Activity

Convert Metric Units of Volume

Difficulty level

Activity

Draw Plans and Elevations of 3D Shapes

Difficulty level

Activity

Enlarge Using a Fractional Scale Factor

Difficulty level

Activity

Find Internal and External Angles in Polygons

Difficulty level

Activity

Find Mass, Density and Volume

Difficulty level

Activity

Find Pressure, Force and Area

Difficulty level

Activity

Find Speed, Distance and Time

Difficulty level

Activity

Identify 3D Shapes

Difficulty level

Activity

Identify Corresponding Angles

Difficulty level

Activity

Identify Faces, Edges and Vertices of 3D Shapes

Difficulty level

Activity

Identify Invariant Points

Difficulty level

Activity

Identify Reflective Symmetry

Difficulty level

Activity

Identify the Properties of a Circle

Difficulty level

Activity

Identify Vertically Opposite Angles

Difficulty level

Activity

Interpret Plans and Elevations

Difficulty level

Activity

Recall 2D Geometry Notation and Terms

Difficulty level

Activity

Recall 3D Geometry Notation and Terms

Difficulty level

Activity

Recognise Alternate Angles

Difficulty level

Activity

Solve Geometrical Problems Using Coordinates

Difficulty level

Activity

Solve Loci Problems

Difficulty level

Activity

Solve Problems Involving Parallel Lines

Difficulty level

Activity

Understand Metric Units of Capacity

Difficulty level

Activity

Understand Metric Units of Length

Difficulty level

Activity

Understand Metric Units of Mass

Difficulty level

Activity

Use Angle Properties Around a Point

Difficulty level

Activity

Use Angle Properties in a Triangle

Difficulty level

Activity

Use Angle Properties on a Straight Line

Difficulty level

Activity

Use Time Calculations

Difficulty level

Activity

Apply Exact Trig Values

Difficulty level

Activity

Apply Ratios to Map Scales

Difficulty level

Activity

Apply Trigonometry Knowledge to 3D Shapes

Difficulty level

Activity

Calculate the Volume of a Cube

Difficulty level

Activity

Calculate the Volume of a Prism

Difficulty level

Activity

Change Units in Algebraic Contexts

Difficulty level

Activity

Convert Compound Units

Difficulty level

Activity

Convert Metric Units of Area

Difficulty level

Activity

Convert Metric Units of Volume

Difficulty level

Activity

Convert Real Measurements to Scale Diagrams

Difficulty level

Activity

Convert Scale Diagrams to Real Measurements

Difficulty level

Activity

Find a Missing Angle Using the Cos Ratio

Difficulty level

Activity

Find a Missing Angle Using the Sin Rule

Difficulty level

Activity

Find a Missing Angle Using the Tan Ratio

Difficulty level

Activity

Find a Missing Side Using the Cos Ratio

Difficulty level

Activity

Find a Missing Side Using the Sin Ratio

Difficulty level

Activity

Find a Missing Side Using the Tan Ratio

Difficulty level

Activity

Find a Side Using the Cosine Rule

Difficulty level

Activity

Find an Angle Using the Cosine Rule

Difficulty level

Activity

Find an Angle Using the Sin Ratio

Difficulty level

Activity

Find Angles Using Knowledge of Sectors

Difficulty level

Activity

Find Compound Perimeters

Difficulty level

Activity

Find Mass, Density and Volume

Difficulty level

Activity

Find Pressure, Force and Area

Difficulty level

Activity

Find Speed, Distance and Time

Difficulty level

Activity

Find the Area of a Parallelogram

Difficulty level

Activity

Find the Area of a Rectangle

Difficulty level

Activity

Find the Area of a Sector

Difficulty level

Activity

Find the Area of a Square

Difficulty level

Activity

Find the Area of a Trapezium

Difficulty level

Activity

Find the Area of a Triangle

Difficulty level

Activity

Find the Area of Compound Shapes

Difficulty level

Activity

Find the Circumference of a Circle

Difficulty level

Activity

Find the Hypotenuse Using Pythagoras' Theorem

Difficulty level

Activity

Find the Length of an Arc

Difficulty level

Activity

Find the Surface Area of a Cone

Difficulty level

Activity

Find the Surface Area of a Cuboid

Difficulty level

Activity

Find the Surface Area of a Pyramid

Difficulty level

Activity

Find the Surface Area of a Sphere

Difficulty level

Activity

Find the Volume of a Cone

Difficulty level

Activity

Find the Volume of a Pyramid

Difficulty level

Activity

Find the Volume of Frustums

Difficulty level

Activity

Finding the Shorter Side Using Pythagoras' Theorem

Difficulty level

Activity

Label Sides of a Triangle

Difficulty level

Activity

Leave Answers in Terms of Pi

Difficulty level

Activity

Measure and Read Bearings

Difficulty level

Activity

Solve Complex problems Using Pythagoras' Theorem

Difficulty level

Activity

Solve Problems Using Pythagoras' Theorem

Difficulty level

Activity

Solve Trigonometry Problems

Difficulty level

Activity

Understand and Read Bearings

Difficulty level

Activity

Understand Conversion in Scale Drawings

Difficulty level

Activity

Understand Metric Units of Capacity

Difficulty level

Activity

Understand Metric Units of Length

Difficulty level

Activity

Understand Metric Units of Mass

Difficulty level

Activity

Use Ratio with Map Scales

Difficulty level

Activity

Use Time Calculations

Difficulty level

Activity

Using Pythagoras' Theorem on 3D Shapes

Difficulty level

Activity

Apply Ratios Involving Changes

Difficulty level

Activity

Calculate Compound Interest

Difficulty level

Activity

Convert Ratios to Fractions

Difficulty level

Activity

Divide into a Ratio (when given One Part or Difference)

Difficulty level

Activity

Estimate the Gradient of a Curve

Difficulty level

Activity

Find Mass, Density and Volume

Difficulty level

Activity

Find Pressure, Force and Area

Difficulty level

Activity

Find Speed, Distance and Time

Difficulty level

Activity

Find the Area of Similar Shapes

Difficulty level

Activity

Find the Best Value for Money

Difficulty level

Activity

Find the Original Amount Before a Percentage Change

Difficulty level

Activity

Identify Direct Proportion and Solve Simple Problems

Difficulty level

Activity

Identify Inverse Proportion

Difficulty level

Activity

Identify Similar Shapes

Difficulty level

Activity

Reduce a Ratio to its Simplest Form

Difficulty level

Activity

Reduce a Ratio to its Simplest Form

Difficulty level

Activity

Represent Direct Proportion Graphically

Difficulty level

Activity

Simplify a Ratio to the Form 1:n or m:1

Difficulty level

Activity

Solve Exponential Growth and Decay Problems

Difficulty level

Activity

Solve Inverse Proportion Problems Algebraically

Difficulty level

Activity

Solve Real Life Proportion Questions

Difficulty level

Activity

Solve Simple Interest Problems

Difficulty level

Activity

Understand Dividing into a Given Ratio

Difficulty level

Activity

Understand Recipe-Style Questions

Difficulty level

Activity

Use Multiplicative Relationships

Difficulty level

Activity

Use Unitary Proportion

Difficulty level

Activity

Volume Scale Factor - Simple Problems

Difficulty level

Activity

Work with Direct Proportion Algebraically

Difficulty level

Activity

Write a Ratio from Amounts

Difficulty level

Activity

Calculate Square Roots (Without a Calculator)

Difficulty level

Activity

Estimate Powers and Roots

Difficulty level

Activity

Evaluate and Use Negative Indices

Difficulty level

Activity

Evaluate Fractional Indices

Difficulty level

Activity

Evaluate Positive Indices

Difficulty level

Activity

Find Cubes and Cube Roots

Difficulty level

Activity

Identify Rational and Irrational Numbers

Difficulty level

Activity

Identify Square Numbers

Difficulty level

Activity

Multiply Terms Involving Index Laws

Difficulty level

Activity

Recognise Powers of 2, 3, 4 and 5

Difficulty level

Activity

Simplify Surds Using Square Factors

Difficulty level

Activity

Work with Exact Values Involving Pi

Difficulty level

Activity

Cancel Algebraic Fractions

Difficulty level

Activity

Create and Solve Equations

Difficulty level

Activity

Divide Terms Involving Index Laws

Difficulty level

Activity

Expand a Single Bracket

Difficulty level

Activity

Expand More Than One Binomial

Difficulty level

Activity

Expand Products of Two Binomials

Difficulty level

Activity

Expand Products of Two Binomials

Difficulty level

Activity

Explore Sequences Involving Surds

Difficulty level

Activity

Factorise Into a Single Bracket

Difficulty level

Activity

Factorise Into a Single Bracket

Difficulty level

Activity

Factorise Quadratics Using the Grid Method

Difficulty level

Activity

Factorise the Difference of Two Squares (DOTS)

Difficulty level

Activity

Find the Nth Term for Quadratic Sequences

Difficulty level

Activity

Find the Nth Term of a Linear Sequence

Difficulty level

Activity

Find the Nth Term of Complex Quadratic Sequences

Difficulty level

Activity

Generate a Sequence from an Nth Term

Difficulty level

Activity

Identify Regions in Inequalities

Difficulty level

Activity

Link Inputs and Outputs

Difficulty level

Activity

Order Positive and Negative Integers

Difficulty level

Activity

Order Positive Integers

Difficulty level

Activity

Rearrange Formulae

Difficulty level

Activity

Recognise and Continue Linear Sequences

Difficulty level

Activity

Recognise Other Types of Sequences

Difficulty level

Activity

Recognise Quadratic and Geometric Sequences

Difficulty level

Activity

Simplify Algebraic Fractions

Difficulty level

Activity

Simplify Terms with Brackets

Difficulty level

Activity

Solve Complex Inequalities

Difficulty level

Activity

Solve Complex Quadratic Equations

Difficulty level

Activity

Solve Equations with Fractions

Difficulty level

Activity

Solve Equations with Unknown on Both Sides

Difficulty level

Activity

Solve Inequalities (on a number line)

Difficulty level

Activity

Solve Inequalities with Two Variables

Difficulty level

Activity

Solve Linear and Quadratic Simultaneous Equations

Difficulty level

Activity

Solve Linear Inequalities

Difficulty level

Activity

Solve One Step Equations

Difficulty level

Activity

Solve Quadratic Equations

Difficulty level

Activity

Solve Quadratic Equations Using Factorisation

Difficulty level

Activity

Solve Quadratic Inequalities

Difficulty level

Activity

Solve Simultaneous Equations (by elimination)

Difficulty level

Activity

Solve Simultaneous Equations (by multiplication)

Difficulty level

Activity

Solve Simultaneous Equations (by multiplying one equation)

Difficulty level

Activity

Solve Simultaneous Equations (by substitution)

Difficulty level

Activity

Solve Simultaneous Equations both Linear and Quadratic

Difficulty level

Activity

Solve Simultaneous Equations Graphically

Difficulty level

Activity

Solve Two-Stage Inequalities

Difficulty level

Activity

Solve Two-Step Equations

Difficulty level

Activity

Solve Two-Step Equations (including brackets)

Difficulty level

Activity

Understand and Use Algebraic Terms 1

Difficulty level

Activity

Understand and Use Algebraic Terms 2

Difficulty level

Activity

Understand How to Complete the Square in Complex Quadratics

Difficulty level

Activity

Understand Linear Sequences (term-to-term rules)

Difficulty level

Activity

Use a Graph to Solve an Equation

Difficulty level

Activity

Use Completing the Square to Solve Quadratics

Difficulty level

Activity

Use Composite Functions

Difficulty level

Activity

Use Formal Algebraic Proof

Difficulty level

Activity

Use Formal Function Notation

Difficulty level

Activity

Use Inverse Functions

Difficulty level

Activity

Use the Nth Term in a Sequence

Difficulty level

Activity

Use the Quadratic Formula

Difficulty level

Activity

Using Greater Than and Equal To Symbols

Difficulty level

Practice Paper

Activity

GCSE Maths Paper 01 (Foundation) Practice Paper in the Style of OCR - Calculator

Difficulty level

Activity

GCSE Maths Paper 02 (Foundation) Practice Paper in the Style of OCR - Non Calculator

Difficulty level

Activity

GCSE Maths Paper 03 (Foundation) Practice Paper in the Style of OCR - Calculator

Difficulty level

Activity

GCSE Maths Paper 04 (Higher, Calculator) Practice Paper in the Style of OCR

Difficulty level

Activity

GCSE Maths Paper 05 (Higher) Practice Paper in the Style of OCR - Non Calculator

Difficulty level

Activity

GCSE Maths Paper 06 (Higher) Practice Paper in the Style of OCR - Calculator

Difficulty level

 

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