Maths - OCR

This interactive quiz is suitable for GCSE maths students studying writing whole numbers as words, ordering whole numbers, and multiplying and dividing whole numbers.

This interactive quiz is suitable for GCSE maths students studying order of operations, negative numbers, adding and subtracting negative numbers.

This interactive quiz is suitable for GCSE maths students studying approximation, rounding to decimal places, rounding to significant figures, truncation, estimating calculations.

This interactive quiz is suitable for GCSE maths students studying place value and ordering decimals, adding, subtracting, multiplying and dividing decimals.

This interactive quiz is suitable for GCSE maths students studying multiples and factors, prime, square and cube numbers, powers and roots, and highest common factor.

This interactive quiz is suitable for GCSE maths students studying using an index or power, law of indices – multiplication and division, and raising a power to a power.

This interactive quiz is suitable for GCSE maths students studying converting decimals to fractions and percentages, fractions to decimals, and percentages to decimals.

This interactive quiz is suitable for GCSE maths students studying ordering fractions, using fractions, mixed numbers and improper fractions and fraction arithmetic.

This interactive quiz is suitable for GCSE maths students studying ordering and using fractions, multiplying and dividing fractions, fraction arithmetic, and fractions of amounts.

This interactive quiz is suitable for GCSE maths students studying standard form, converting from standard form, ordering numbers in standard form, and calculating standard form.

This interactive quiz is suitable for GCSE maths students studying simplifying surds, adding and subtracting surds and rationalising denominators.

This interactive quiz is suitable for GCSE maths students studying wages and salaries, salary and pay, profit and loss, bank statements and savings and VAT.

This interactive quiz is suitable for GCSE maths students studying expressions, simplifying expressions, expanding brackets, expanding double brackets and expanding three brackets.

This interactive quiz is suitable for GCSE maths students studying factorising, using algebra to demonstrate an argument, and proof.

This interactive quiz is suitable for GCSE maths students studying formulae, substitution, creating formulae, changing the subject of a formula, rearranging formulae.

This interactive quiz is suitable for GCSE maths students studying equations and identities, number machines, and solving equations.

This interactive quiz is suitable for GCSE maths students studying simultaneous equations, and solving simultaneous examples with no common coefficients.

This interactive quiz is suitable for GCSE maths students studying inequalities, solving inequalities, integer solutions to inequalities and graphs of inequalities.

This interactive quiz is suitable for GCSE maths students studying coordinates, straight line graphs, parallel and perpendicular lines and equations of a line through two points.

This interactive quiz is suitable for GCSE maths students studying quadratic graphs, cubic graphs, reciprocal graphs, exponential graphs.

This interactive quiz is suitable for GCSE maths students studying translating graphs and reflections of graphs.

This interactive quiz is suitable for GCSE maths students studying simplifying rational expressions, factorising, and adding and subtracting rational expressions.

This interactive quiz is suitable for GCSE maths students studying real-life graphs, distance-time and displacement-time graphs, speed-time and velocity-time graphs.

Use place value to compare and order whole numbers. Practise adding, subtracting, multiplying and dividing whole numbers with quizzes and interactive activities.

Revise how to add, subtract, multiply and divide negative numbers using the correct order of operations (BIDMAS). This guide contains video and quizzes.

Decimal points separate whole numbers from parts of a number. Practise using decimals with video, quizzes and interactive activities.

Converting between fractions, decimals and percentages is a useful problem-solving skill. Practise writing data in different formats with quizzes and interactive activities.

A recurring decimal exists when digits repeat forever. Practise understanding dot notation in recurring decimals with a video, quizzes and interactive activities.

Round numbers when an exact value is not needed. Practise rounding to decimal places, estimating calculations and truncation with a video, quizzes and interactive activities.

Limits of accuracy give a range of values a rounded number could have. Practise recognising degrees of accuracy and upper and lower bounds with quizzes and a video for Higher.

Fractions show parts of a whole. Learn how to simplify and order fractions, and to write mixed numbers and improper fractions, with quizzes and interactive activities.

Learn how to add, subtract, multiply and divide fractions, as well as how to use a calculator for fractions and finding fractions of amounts, with video and quizzes.

Revise multiples and factors, prime, square and cube numbers, the product of prime factors and powers and roots, with quizzes and interactive activities.

Revise Highest Common Factor and Lowest Common Multiple, HCF and LCM using prime factors, and powers and roots, with quizzes and interactive activities.

Index notation involves a base number (or variable) raised to a power. Practise multiplying and dividing indices, and raising a power to a power, with video and quizzes.

Indices may be positive or negative integers, or fractional values. Revise working with negative and fractional indices, with video and interactive activities.

Standard form is a way to write very large and very small numbers so they're easier to work with. Practise working with standard form, with quizzes and interactive activities.

Learn how to add, subtract, multiply and divide standard form with and without a calculator. Practise writing numbers in standard form with quizzes and interactive activities.

Numbers can be written in words. Both positive and negative numbers can be added, subtracted, multiplied and divided using rules. These rules must be applied in a specific order.

Approximation includes estimation, rounding to powers of 10, decimal places and significant figures.

Decimals are used every day, for example, when using money. Knowing how to use decimal points and places when adding, subtracting, dividing and multiplying is an important mathematical skill.

Prime numbers, factors and multiples are essential building blocks for a lot of number work. Knowledge of how to use these numbers will improve arithmetic and make calculations more efficient.

Calculations with very big or small numbers can be made easier by converting numbers in and out of standard form.

An index, or power, is the small floating number that appears after a number or letter. Indices show how many times a number or letter has been multiplied by itself.

Fractions are used commonly in everyday life, eg sale prices at 1/3 off, or recipes using 1/2 a tablespoon of an ingredient. Knowing how to use fractions is an important mathematical skill.

Fractions, decimals and percentages are frequently used in everyday life. Knowing how to convert between them improves general number work and problem solving skills.

Surds are numbers left in square root form that are used when detailed accuracy is required in a calculation. They are numbers which, when written in decimal form, would go on forever.

Financial maths is needed for all jobs, from calculating wages to working out profit, loss and VAT. Knowledge of financial maths is also required to be able to understand bank statements and savings.

Revise collecting like terms, using algebraic notation correctly, simplifying expressions, and multiplying a single term over a bracket. This guide contains video and quizzes.

Revise factorising expressions into one or two brackets. For Higher tier, factorise quadratics when the coefficient of 𝑥 squared doesn't equal 1. This guide has video and quizzes.

Revise how to use algebra to support and construct arguments, show that two expressions are equivalent, and how to find a counterexample. This guide contains video and quizzes.

Revise writing formulae, substituting into expressions and formulae, and how to change the subject of a formula using inverse operations. This guide contains video and quizzes.

Learn about function notation, how to find an inverse function by changing the subject, and how to work with composite functions. This guide contains a quiz.

Learn how to use inverse operations to find the value of an unknown variable in an equation, so that the value is true. This guide contains a quiz.

Learn how to solve equations with brackets, 𝑥 terms on both sides, and fractions using inverse operations in this GCSE maths study guide. This guide contains videos and quizzes.

Inequalities are the relationships between two expressions not equal to one another. The symbols used for inequalities are <, >, ≤, ≥ and ≠. This guide contains video and quizzes.

Revise representing an inequality as a region on one side of a line. Dashed lines on graphs show the line is not included in the region. This guide contains video and quizzes.

Learn about term-to-term rules, 𝑛th term rules and how to work out expressions for 𝑛th terms based on a set of numbers in a quadratic sequence. This guide contains quizzes.

In geometric sequences, the term-to-term rule is to multiply or divide by the same value. Other sequences include square numbers and Fibonacci sequences. This guide has quizzes.

Revise plotting coordinates and creating straight line graphs to show the relationship between two variables. This guide contains video and quizzes.

Learn how to calculate the equation of a line from a graph, work out the gradient from an equation, and visualise intercepts. This guide contains video and quizzes.

Revise finding equations of parallel lines and the gradient of perpendicular lines, and prove that given lines are parallel or perpendicular. This guide contains video and quizzes.

Letters can be used to stand for unknown values or values that can change. Formulas can be written and equations solved to solve a range of problems in science and engineering.

Formulae are used in everyday life, from working out areas and volumes of shapes to converting units of measurement. Knowing how to use and rearrange formulae are very useful skills.

Algebraic expressions in fraction form are rational. Methods of adding, subtracting, multiplying and dividing fractions plus expanding and factorising can be used to simplify rational expressions.

Forming, using and solving equations are skills needed in many different situations. From balancing accounts to making sense of a mobile phone bill, solving equations is a vital skill.

Simultaneous equations require algebraic skills to find the values of letters within two or more equations. They are called simultaneous equations because the equations are solved at the same time.

Inequalities show the relationship between two expressions that are not equal to one another. Inequalities are useful when projecting profits and breakeven figures. In this OCR Maths study guide, you can revise the more than and less than signs, how to solve inequalities and how inequality can be represented graphically.

Sequences can be linear, quadratic or practical and based on real-life situations. Finding general rules helps find terms in sequences.

Graphs show the relationship between two variables and are often seen in newspapers and the media. People who work in professions involving maths and science commonly use graphs.

The most commonly occurring graphs are quadratic, cubic, reciprocal, exponential and circle graphs. Their equations can be used to plot their shape.

Functions of graphs can be transformed to show shifts and reflections. Graphic designers and 3D modellers use transformations of graphs to design objects and images.

In real-life contexts, the intercept, gradient and area beneath graphs can contain information such as fixed charges, speed or distance.

Solve quadratic equations by factorising, using formulae and completing the square. Each method also provides information about the corresponding quadratic graph.

Ratios are seen in everyday life. They can be used when adding ingredients to make a meal, when deciding how much pocket money children get or when reading a map.

Percentages are used in everyday life, for example, calculating discounts during sales and interest rates at banks. Knowing how to find and use percentages is an important skill.

Proportion is used to show how quantities and amounts are related to each other. The amount that quantities change in relation to each other is governed by proportion rules.

Polygons are multi-sided shapes with different properties. Shapes have symmetrical properties and some can tessellate.

Loci are a set of points with the same property. Loci can be used to accurately construct lines and shapes. Bearings are three figure angles measured clockwise from North.

2-dimensional shapes are flat. The perimeter of a 2D shape is the total distance around the outside of the shape. The area of a 2D shape is the space inside the shape.

3-dimensional solids have faces, edges and vertices. Volume is the space contained within a 3D solid. Surface area is the sum of the area of each face. 3D solids can be viewed from different points.

Circles are 2D shapes with one side and no corners. The circumference is always the same distance from the centre - the radius. Sectors, segments, arcs and chords are different parts of a circle.

Circles have different angle properties described by different circle theorems. Circle theorems are used in geometric proofs and to calculate angles.

Transformations change the size or position of shapes. Congruent shapes are identical, but may be rotated or reflected. Scale factors show how much larger or smaller similar shapes are.

Pythagoras’ theorem can be used to calculate the length of any side in a right-angled triangle. Pythagoras’ theorem can be applied to solve 3-dimensional problems.

A unit of measurement describes one unit of a quantity. Units of measurement can be imperial or metric. They can be converted using conversion factors.

The three trigonometric ratios; sine, cosine and tangent are used to calculate angles and lengths in right-angled triangles. The sine and cosine rules calculate lengths and angles in any triangle.

A vector quantity has both size and direction. Vectors can be added, subtracted and multiplied by a scalar. Geometrical problems can be solved using vectors.

Probabilities can be written as fractions, decimals or percentages on a scale from 0 to 1. Knowing basic facts about equally likely outcomes can help to solve more complicated problems.

Many companies and organisations collect data to improve their information and products. Skills in collecting data can make this process more efficient and reliable.

Data is represented in many different forms. Using bar charts, pie charts and frequency diagrams can make information easier to digest.

In statistics there are three types of average: the mean, the median and the mode. Measures of spread such as the range and the interquartile range can be used to reach statistical conclusions.

Mathematical problems cover many different areas of Maths. A framework can be applied to help identify the information needed to solve the problem and to check the answer.

Number problems often involve a combination of fractions, decimals, percentages and ratio. They can be set in a real-life context. A framework can be used to tackle these problems.

Graphical problems will usually be linked to a real-life situation. Travel graphs, temperature graphs and conversion graphs are common graphs. A framework can be used to tackle graphical problems.

Geometric problems can involve finding the perimeter and area of shapes like triangles and quadrilaterals. Knowledge of shape properties is essential. A framework can be used to tackle these problems.

Algebra problems can relate to any area of maths. Problems often include a mix of algebra, number and geometry. A framework can be used to tackle these problems.

Statistical problems can involve calculating the mean, median, mode and range. Diagrams may include information which needs to be extracted. A framework can be used to tackle these problems.

Get ready for the GCSE maths exams with these interactive resources from BBC Bitesize.