Exam practice
GCSE maths: Exam-style quiz by topic
Try this quiz based on GCSE Maths past papers. Choose the topic you would like to revise and answer the questions.
GCSE Maths: exam-style questions
Free interactive maths quizzes based on Edexcel foundation and higher past papers to help you prepare for your GCSE exams, covering common errors in algebra, graphs.
GCSE Maths: quick-fire questions
Prepare for your Edexcel GCSE maths higher or foundation exam with this free interactive quiz covering topics including fractions, equations and algebra.
Number
Quiz: Whole numbers
This interactive quiz is suitable for GCSE maths students studying writing whole numbers as words, ordering whole numbers, and multiplying and dividing whole numbers.
Quiz: Approximation
This interactive quiz is suitable for GCSE maths students studying approximation, rounding to decimal places, rounding to significant figures, truncation, estimating calculations.
Quiz: Decimals
This interactive quiz is suitable for GCSE maths students studying place value and ordering decimals, adding, subtracting, multiplying and dividing decimals.
Quiz: Multiples and factors
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.
Quiz: Standard form
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.
Quiz: Laws of indices
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.
Quiz: Fractions
This interactive quiz is suitable for GCSE maths students studying ordering fractions, using fractions, mixed numbers and improper fractions and fraction arithmetic.
Quiz: Fractions 2
This interactive quiz is suitable for GCSE maths students studying ordering and using fractions, multiplying and dividing fractions, fraction arithmetic, and fractions of amounts.
Quiz: Converting between fractions, decimals and percentages
This interactive quiz is suitable for GCSE maths students studying converting decimals to fractions and percentages, fractions to decimals, and percentages to decimals.
Quiz: Surds
This interactive quiz is suitable for GCSE maths students studying simplifying surds, adding and subtracting surds and rationalising denominators.
Whole numbers - Edexcel
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.
Decimals - Edexcel
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.
Converting between fractions, decimals and percentages - Edexcel
Fractions, decimals and percentages are frequently used in everyday life. Knowing how to convert between them improves general number work and problem solving skills.
Approximation - Edexcel
Approximation includes estimation, rounding to powers of 10, decimal places and significant figures.
Fractions - Edexcel
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.
Multiples and factors - Edexcel
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.
Laws of indices - Edexcel
Indices are used to show numbers that have been multiplied by themselves. They can be used instead of the roots such as the square root. The rules make complex calculations that involve powers easier.
Standard form - Edexcel
Calculations with very big or small numbers can be made easier by converting numbers in and out of standard form.
Surds - Higher - Edexcel
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 mathematics - Edexcel
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.
Algebra
Quiz: Algebraic expressions
This interactive quiz is suitable for GCSE maths students studying expressions, simplifying expressions, expanding brackets, expanding double brackets and expanding three brackets.
Quiz: Algebraic expressions 2
This interactive quiz is suitable for GCSE maths students studying factorising, using algebra to demonstrate an argument, and proof.
Quiz: Algebraic formulae
This interactive quiz is suitable for GCSE maths students studying formulae, substitution, creating formulae, changing the subject of a formula, rearranging formulae.
Quiz: Solving quadratic equations
This interactive quiz is suitable for GCSE maths students studying solving quadratic equations by completing the square, and quadratic functions.
Quiz: Algebraic fractions
This interactive quiz is suitable for GCSE maths students studying simplifying rational expressions, factorising, and adding and subtracting rational expressions.
Algebraic expressions - Edexcel
Letters can be used to stand for unknown values or values that can change. Formulas can be written and equations solved to find solutions to a range of problems in science and engineering.
Algebraic formulae - Edexcel
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.
Solving linear equations - Edexcel
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.
Solving simultaneous equations - Edexcel
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.
Solving quadratic equations - Edexcel
Solve quadratic equations by factorising, using formulae and completing the square. Each method also provides information about the corresponding quadratic graph.
Inequalities - Edexcel
Inequalities show the relationship between two expressions that are not equal to one another. Inequalities are useful when projecting profits and breakeven figures.
Sequences - Edexcel
Sequences can be linear, quadratic or practical and based on real-life situations. Finding general rules helps find terms in sequences.
Straight line graphs - Edexcel
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.
Other graphs - Edexcel
The most commonly occurring graphs are quadratic, cubic, reciprocal, exponential and circle graphs. Their equations can be used to plot their shape.
Transformation of curves - Higher - Edexcel
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.
Algebraic fractions - Edexcel
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.
Using and interpreting graphs - Edexcel
Using graphs is not just about reading off values. In real-life contexts, the intercept, gradient and area underneath the graph can have important meanings such as a fixed charge, speed or distance.
Ratio, proportion and rates of change
Ratio in context - Edexcel
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 - Edexcel
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.
Direct and inverse proportion - Edexcel
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.
Geometry and measure
Angles, lines and polygons - Edexcel
Polygons are multi-sided shapes with different properties. Shapes have symmetrical properties and some can tessellate.
Loci and constructions - Edexcel
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 - Edexcel
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 shapes - Edexcel
3-dimensional shapes have faces, edges and vertices. Volume is the space contained within a 3D shape. Surface area is the sum of the area of each face. 3D shapes can be viewed from different points.
Circles, sectors and arcs - Edexcel
The circumference of a circle is its outside edge, and is the same distance from the centre at every point along its length. This distance is called the radius. Learn how to measure and calculate these, along with the area and diameter of a circle.
Circle theorems - Higher - Edexcel
Circles have different angle properties described by different circle theorems. Circle theorems are used in geometric proofs and to calculate angles.
Transformations - Edexcel
Transformations change the size or position of shapes. Congruent shapes are identical, but may be reflected, rotated or translated. Scale factors can increase or decrease the size of a shape.
Pythagoras' theorem - Edexcel
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.
Units of measure - Edexcel
Units of measurement let us describe and compare length, weight, area, volume, density and other values. Units can be imperial or metric and they can be converted using conversion factors.
Trigonometry - Edexcel
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.
Vectors - Edexcel
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.
Probability
Probability - Edexcel
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.
Statistics
Collecting data - Edexcel
Many companies and organisations collect data to improve their information and products. Skills in collecting data can make this process more efficient and reliable.
Representing data - Edexcel
Data is represented in many different forms. Using bar charts, pie charts and frequency diagrams can make information easier to digest.
Analysing data - Edexcel
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.
Problem solving
Solving 'number' problems - Edexcel
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.
Solving 'graphical' problems - Edexcel
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.
Solving 'geometric' problems - Edexcel
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.
Solving 'algebraic' problems - Edexcel
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.
Solving 'statistical' problems - Edexcel
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.
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