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Learn MoreComplete guide to GCSE and iGCSE Mathematics
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903 students
Complete guide to GCSE and iGCSE Mathematics
Suitable for all UK and International (iGCSE) Mathematics learners around the world
Created byMatt Kelly
Last updated 9/2025
English
What you'll learn
- All required topics to achieve a pass at the UK GCSE and International Mathematics (iGCSE)
- How to find solutions for Algebra topics
- How to find solutions for Number topics
- How to find solutions for Geometry topics
- How to find solutions for Statistics topics
Explore related topics
Course content
13 sections • 255 lectures • 21h 48m total length
- Place value and numbers to and from words3:15
A lesson which demonstrates to learners how to find the place values of numbers, and then write words from figures and vice versa.
- Order of operations (BIDMAS)3:00
This video explains the order of operation (BIDMAS) which is neede to calculate questions involving a variety of operations.
- Ordering integers2:32
A lesson demonstrating how to order integers, leading onto being able to order integers including negative numbers.
- Negative numbers4:18
A lesson which demonstrates how to use a number line to work out answers using negative numbers, and to be able to use the four operations with negative numbers.
- Adding whole and decimal numbers3:33
This video demonstrates how to add whole numbers, decimal numbers and more than 2 whole numbers.
- Subtracting whole and decimal numbers4:12
This lesson demonstrates how to subtract whole numbers, decimal numbers and more than 2 whole numbers.
- Multiplying numbers3:24
Lesson demonstrating the standard methods which support learners in being able to multiply numbers.
- Dividing numbers (Bus stop method)2:41
This lesson demonstrates how to divide large numbers, and moving onto how to divide decimals.
- Multiplying and dividing by powers of 102:35
A lesson demonstrating how to multiply by different powers of 10. 10, 100, and a thousand, and then dividing, leading onto working with powers of 10.
- Multiplying and dividing decimals3:11
A lesson which demonstrates the methods of multipying and dividing decimal numbers.
- Powers, indices and roots3:30
A lesson which demonstrates how to put numbers into index form, and to calculate numerical numbers from numbers given in powers or square roots.
- Simple percentages1:56
A lesson which demonstrates how to calculate simple percentage of amounts - 50%, 25% and 10%.
- Types of numbers4:55
A lesson which describes the different number types: Odd, even, prime, triangular, rational and irrational numbers.
- Rounding to integers, tens, hundreds and thousands2:58
A lesson which shows learners how to round numbers to nearest whole numbers, tens, hundreds and decimal places.
- Rounding to significant figures and estimating4:13
A lesson which explains how to round numbers to significant figures, moving onto how to estimate calculations by rounding values to 1 siginificant figure.
- Simplifying and equivalent fractions3:04
A lesson which demonstrates how to simplify fractions and how to find equivalent fractions.
- Converting between decimals and fractions3:09
This lesson demonstrates how to convert between decimals and fractions.
- Converting between decimals and percentages.1:07
This lesson demonstrates how to convert between decimals and percentages.
- Converting between percentages and fractions2:43
This lesson demonstrates how to convert between fractions and percentages.
- Converting between improper fractions & mixed numbers2:43
This lesson demonstrates how to convert between improper fractions & mixed numbers.
- Adding and subtracting fractions6:24
A lesson to demonstrate adding and subtracting fractions, starting with same denominators leading to different denominators.
- Multiplying and dividing fractions3:31
A lesson which demonstrates how to multiply and divide fractions leading to multiplying and dividing mixed numbers.
- Ordering fractions, decimals and percentages4:33
Lesson which explains how to order decimals, then fractions, leading onto a mix of fractions, decimals and percentages.
- Introduction to Venn Diagrams1:29
An introduction to venn diagrams and a demonstrate on filling in a venn diagram with given data.
- Using a calculator3:36
A lesson which demonstrates the basic functionality of a scientific calculator.
- Fractions of quantities2:17
A lesson demonstrating how to work out a fraction of a quantity, and then find an amount as a fraction of another amount.
- Unitary ratio / best value3:53
This lesson demonstrates how to convert ratios into the format 1:n, and to use this to determine recipe amounts, leading onto being able to find best values.
- Simplifying ratio and sharing in ratios3:05
A lesson which demonstrates how to simplify ratios and how to share amounts into given ratios.
- Combining ratios1:59
A lesson which demonstrates how to combine ratios with different integer values.
- Recurring decimals2:28
This lesson introduces the notation for recurring decimals and explains how to convert fractions to recurring decimals.
- Factors and Highest Common Factors (HCF)2:07
A lesson which shows learners how to find all the factors of a number, leading onto being able to find the highest common factors (HCF) of 2 or more numbers.
- Multiples and Lowest Common Multiple (LCM)2:30
Lesson which explains how to find multiples of a number, leading onto being able to find the lowest common multiple (LCM) of 2 or more numbers.
- Product of prime factors / Prime factorisation2:53
A lesson which explains how to create a prime factor tree, leading onto writing a number of a product of it's prime factors.
- HCF and LCM using Venn diagrams5:05
A lesson which demonstrates how to fill in Venn Diagrams, and then use the to find HCF and LCM.
- Time tables3:42
This lesson demonstrates how to be able to read bus/train timetables, and using them to find lengths of journeys.
- Exchange rates3:08
A lesson which demonstrates how to use exchange rates to convert currencies and how to be able to solve problems using exchange rates.
- Inequalities notation6:10
A lesson which demonstrates the notations used for inequalities and how to answer questions involving them.
- Analogue and Digital Clocks16:07
This lesson demonstrates how to read analogue clocks, draw hands on analogue clocks to show time, and how to convert between 12 and 24 hour clocks.
- Money problems4:44
A lesson which demonstrates how to be able to total a bill, to calculate the amount of change from a purchase, and to be able to solve other money problems.
- Similar or related calculations2:15
This lesson demonstrates how to use similar calculations to find solutions to other questions which are in some-way related to them.
- Reciprocals2:40
A lesson which demonstrates what a reciprocal of a whole number and a reciprocal of a fraction is.
- Simple interest1:10
This lesson demonstrates how to calculate simple interest of amounts.
- Reading and plotting co-ordinates in all 4 quadrants6:17
This lesson will support learners in being able to plot and read co-ordinates in different quadrants.
- Expressions, terms, equations, identities and formulae4:50
This lesson should enable students to identify the difference between expressions, equations, formulaes and identities
- Simplifying algebraic expressions9:20
This lesson will support learners in being able to simplify algebraic expressions.
- Substituting numbers into expressions5:03
After completing this lessons, learners should be able to substiute numbers into increasingly challenging expressions, including mixed variables and extending to negatives.
- Substituting numbers into a formula4:45
After this lesson, students should be able to substiute numbers into formulae.
- Factorising linear expressions11:04
Students should be able to factorise expressions, starting from integer factors, then algebraic factors leading onto combined factors after completing this lesson.
- Expanding single brackets10:41
Students should be able to expand and simplify single brackets, starting with 1 bracket moving onto 2 brackets
- Changing the subject of a formula (Part 1)4:27
This lesson will support learners in being able to change the subject of a formulae. This is part 1 of 3 lessons on this topic.
- Re-arranging & solving simple one step equations7:38
A lesson which demonstrates how to re-arrange and therefore solve one step equations.
- Forming expression, equations and formulae10:10
Learners should be able to write or derive expressions, equations, formulaes and identities from given information after this lesson.
- Solving equations with the unknown on both sides7:48
Students will learn how to solve multiple step equations with unknowns on both sides, with differing order of operations.
- Solving two step equations4:03
Students after this lessons should be able to solve simple two step equations, with differing order of operations.
- Solving inequalities with one or two variables7:33
This lesson demonstrates to learners how to solve inequalities.
Beginning with 1 step inequalities followd by 2 step inequalities, finishing with double sided inequalities.
- Function machines3:51
Afer this lesson students should be able to:
- find the output of a function machine
- find the input of a function machine
- find the missing rule of a function machine
- Double Function machines6:57
After this lesson, learners should be able to :
- find the output of a double function machine
- find the input of a double function machine
- find the missing rule of a double function machine
- Trial and improvement to find approximate solutions7:57
This lesson will explain how students should answer trial and improvement questions to find approximate solutions to a specified level of accuracy.
- Perpendicular gradients4:20
This lesson demonstrates how to work out perpendicular gradients, given just one gradient (using m1 x m2 = -1), leading onto equations of perpendicular lines using y = mx + c
- Equations of parallel and perpendicular lines7:12
This lesson explains how to find the equations of parallel and perpendicular lines in relation to other given linear equations given a co-ordinate.
- Nets, Isometric Drawing, Plans, side views and elevations4:14
This lessons covers drawing and identify nets, shows how to draw 3D shapes on isometric paper, finishing off with how to draw different elevations of shapes.
- Measuring and drawing lines with a ruler3:50
A lesson showing how to measure items/lines accurately using a ruler, and how to draw lines of certain lengths using a ruler.
- Perimeter3:04
This lesson demonstrates how to find the perimeter of a shape by counting, calculating distance with numbers, and moving onto perimeter of compound shapes.
- Types of triangles2:50
Lesson to support students in being able to classify different types of triangles based on information given.
- Types of quadrilaterals2:23
Lesson which explains the properties of the different types of quadrilaterals.
- Area of triangles4:15
This lesson demonstrates how to work out the area of a triangle using formula, leading to finding missing dimensions given it's area.
- Area of rectangles4:48
Lesson which covers out the area of a rectangle by counting squares, followed by multiplying dimensions, leading onto compound rectangles.
- Area of parallelograms3:06
This lesson explains how to use the parallelogram formula to find area of parallelograms and hence missing sides given it's area.
- Area of trapeziums7:01
This lesson explains how to use the trapezium formula to find area of trapeziums and hence missing dimensions given it's area.
- Area of compound shapes2:19
This lessons support learners in being able to calculate the area of compound shapes made up of rectangles, triangles, parallelograms, trapeziums and circles.
- Using a protractor6:36
This lesson demonstrates how to measure and draw angles accurately using a protractor.
- Types of angles1:24
A lesson showing the properties and names of different types of angles.
- Angles in triangles and quadrilaterals2:02
This lesson demonstrates how to find angles in triangles and quadrilaterals based on their angle properties.
- Missing angles in right angles and on straight lines2:19
Lesson explaining how to find missing angles in a right angle, on a straight line, and around a point.
- Constructing triangles6:37
A lesson which demonstrates how to construct a triangle with a protractor and ruler, and how to construct a triangle with a pair of compasses and a ruler.
- Symmetry3:05
This lesson demonstrates shapes' lines of symmetry and their order of rotational symmetry.
- Reflections3:40
Lesson showing how to reflect shapes using a mirror lines, leading onto being able to reflect lines in a linear equation and finishing with describing a transformation ( reflection ) given a first shape and it's reflection.
- Parallel and perpendicular lines2:05
A lesson explaining what determines if lines are parallel or perpendicular.
- Parts of a circle, circumference and area7:26
Lesson which names each of the parts of a circle, followed by how to calculate the circumference and area of a circle questions, extending to portions of circles.
- Congruent shapes1:01
A lesson to help learners understand and identify congruent shapes.
- Similar shapes1:47
This lesson how to find a missing side length with the understanding that the shapes are 'similar'.
- Scales and scale drawings2:48
A lesson to demonstrate how to convert between scaled and real life distances, and how to use scales to find real distances on a map.
- Scales6:46
A lesson demonstrating how to read scales and add measurement lines on scales.
- Converting between metric units5:19
A lesson which covers how to convert between different metric units of length, mass and volumes.
- Rotations and describing rotations3:40
The lesson covers how to rotate shapes from instructions, leading onto being able to identify and describe how shapes have been rotated.
- Speed = Distance / Time3:09
A lesson which covers the formula involving speed, density and time.
- Speed, distance and time graphs4:46
A lesson explaining how to interpret distance time graphs, how to represent a journey on a distance time graph and how to calculate the speed from a distance time graph.
- Pressure = Force / Area3:03
A lesson which covers the formula involving Pressure, Force and area.
- Density = Mass / Volume2:31
A lesson which covers the formula involving Density, mass and volume.
- Conversion graphs2:13
This lesson demontrates how to use conversion graphs to change units.
- Bar charts6:55
Lesson which demonstrates how to draw bar charts from given data, followed by an example of how to interpret bar charts / reading information.
- Dual Bar charts6:44
Lesson which demonstrates how to draw dual bar charts from given data, followed by an example of how to interpret dual bar charts / reading information.
- Pictograms4:49
A lesson which demonstrates Pictograms, how to read, interpret and draw them.
- Frequency and grouped frequency tables8:17
Lesson which explains how to record data in a frequency table and grouping continuous data and record (grouped data) it in a grouped frequency table.
- Median average3:47
A lesson which demonstrates how to calculate the Median average from an odd number of values, leading onto an even number of values - extending to using negative numbers.
- Mode, Range and Mean average3:23
A lesson which demonstrates how to calculate Mean and Mode Averages, and Range from a list of values - extending to using negative numbers.
- Two way tables4:59
This lesson demonstrates how to read, interpret and complete two way tables - leading onto using two way tables for probabilities.
- Frequency polygons3:21
A lesson which demonstrates how to draw and interpret frequency polygons.
- Line graphs4:32
A lesson which demonstrates how to draw line graphs and interpret line graphs extending to working with tables involving negatives.
- Line of best fit9:18
This lesson will demonstrate how to draw lines of best fit, predict values based on line of best fit - and to determine if outliers exist.
- Scatter graphs and correlation5:50
A lesson which demonstrates how to draw scatter graphs, interpret scatter graphs and establish correlations.
- Probability and relative frequency11:24
A lesson which demonstrates how to calculate the probability an event will occur, how to be able to calculate the relative frequency of an event, and how to estimate the number of times an event will occur when given the probability and number of trials.
- Combinations2:40
A lesson which explains 'combinations' and how to calculate them.
- Pie charts7:37
Lesson which demonstrates how to interpret pie charts from given data, followed by being able to draw pie charts from given information.
- Questionnaires6:52
A lesson which demonstrates how to design a suitable questionnaire.
- Frequency Trees8:25
This lesson demonstrates how to use and add missing values to a frequency tree.
- Stem and Leaf diagrams5:42
A lesson which demonstrates how to read and complete a Stem and Leaf diagram, and how to extract data from one.
- Index laws7:40
A lesson which demonstrates how to multiply and divide numbers in index form, and to calculate a power to a power.
- Negative Indices3:20
A lesson which demonstrates how to understand negative powers, and apply these to both integers and fractions.
- Converting recurring decimals to fractions3:47
A lesson which demonstrates how to convert recurring decimals to fractions using algebraic proof.
- Harder percentages without a calculator4:11
This lesson demonstrates how to calculate 1% of an amount - leading onto being able to work out more challenging percentages utilising 1%.
- One number as a percentage of another2:24
This lesson demonstrates how to calculate one quantity as a percentage of another, leading onto being able to calculate the percentage increase/decrease.
- Increase or decrease a quantity by a percentage2:11
This lesson demonstrates how to increase or decrease a quantity by a percentage, followed by repeated percentage increases/decreases.
- Percentages of a quantity with multiplier (leading to increasing and decreasing)3:53
To be able to calculate a percentage of a quantity using a decimal multiplier, and then find an amount which has been increased/decreased by a percentage using a decimal multiplier.
- Compound interest5:25
A lesson which demonstrates how to calculate compound percentage interest of amounts over specified years (increasing) - followed by depreciation (decreasing) of amounts.
- Reverse percentages4:33
A demonstration on how find out the original amounts after a percentage increase/decrease (reverse percentages), followed by repeated percentage change.
- Standard form6:03
This lesson demonstrates how to convert to and from standard form, and use standard form in calculations.
- Combining ratios and fractions5:24
A lesson which demonstrates how to combine ratios and fractions and undertstanding the relationship between the two.
- Error intervals and truncating5:50
This lesson demonstrates how to write down error intervals for rounded numbers, how to truncate numbers, and how to write down error intervals for truncated numbers.
- Changing the subject of a formula by factorising5:30
- Change the subject of a formula (Part 2 - with powers)4:46
A lesson which demonstrates how to change the subject of a formula that contain indices / powers.
- Change the subject of a formula (Part 3 - by factorising)5:30
This lesson demonstrates to learners how to change the subject of a formulae by factorising. This is part 3 of 3 lessons on this topic.
- Algebra in Shapes7:09
This lesson will support learners in being able to work with algebra and how to use it in relation to properties of shapes.
- Gradient of a straight line graph with 2 co-ordinates2:33
This lesson shows learners how to find the gradient of a line given 2 co-ordinates
- Finding the mid-point of a line2:53
After this lessons students should be able to find the midpoint of a line from a drawn line, extending to finding midpoint between 2 co-ordinates.
- Finding the length of a straight line with point using Pythagoras' theorem6:20
Students will be able to calculate the length of a line from a drawn line, leading onto between 2 co-ordinates after completing this lesson
- Solving equations that include brackets9:06
After this lesson, students should be able to solve equations which contain brackets.
- Solving equations that include powers3:03
This lesson explains how to solve equations that contain powers/roots.
- Solving linear fractional equations7:59
Students should be able to solve equations which involve linear algebraic fractions with more than one unknown.
- Solving simultaneous equations by elimination (1)8:16
This lesson demonstrates how to solve simultaneous equations by 'elimination'.
- Solving simultaneous equations by substitution4:54
This lesson demonstrates to learners how to solve simultaneous equations by the 'subsitution' method.
- Using number sequences and describing their rules5:33
This lesson demonstrates how to spot and describe linear sequences, the term to term rule and find then create a sequence knowing a specific rule.
- Finding and using the n th term of a linear sequence8:27
This lesson demonstrates to learners how to use linear nth term to find a specific term in a sequence and then to be able to find the nth term of written linear number sequences.
- Expanding double brackets7:44
This lesson demonstrates to learners how to expand double brackets using either grid method or combination method.
- Drawing straight line graphs7:23
This lesson demonstrates how to plot/draw straight line graphs using a table or otherwise.
- The equation of a line: y-intercept (c), gradients (m), y = mx + c9:58
This lesson demonstrates to learners how to find the equation of a line by understanding the y intercept (c) and what a gradient of a line is (m ) and how that leads them into leaving it in the format y = mx + c.
- Solving simultaneous equations with straight line graphs4:11
This lesson demonstrates how to draw straight line graphs in order to solve simultaneous equations by drawing straight line graphs.
- Factorising quadratics expressions (Part 1)9:13
This lesson demonstrates how to factorise quadratic expressions where the coefficient of x^2 is 1.
- Solving quadratic equations by factorising (Part 1)3:57
This lesson will explain how to solve simple quadratic equations by factorising into 2 brackets (the coefficients of x^2 is always 1).
- Solve quadratic equations with the “formula”5:57
This lesson demonstrates to learners how to solve a quadratic equation using the 'formula'
- Representing inequalities on a number line6:44
This lesson explains how to find the equations of parallel and perpendicular lines in relation to other given linear equations given a co-ordinate.
- Algebra in shapes7:09
A lesson explaining how to use algebra (creating expressions and solving equations) to solve problems involving angles, area and perimeter.
- Bearings6:44
A lesson to help students understand and use bearings to specify the direction of an object.
- Introduction to Trigonometry and finding missing sides7:41
A lesons which introduces trigonometry, the ratios and how to use them to calcaulte missing sides in 2D problems.
- Using trigonometry to find missing angles in right-angled triangles3:33
A lesson showing how to apply the trigonometric relationships to calculate missing angles in right-angled triangles.
- Angles of elevation and depression7:06
A lesson explaining how to calculate angles of depression or elevation in real life scenarios using pythagoras' theorem or trigonometry.
- Angles in regular polygons (interior and exterior polygons)3:39
A lesson explaining internal angles of shapes, followed by size of interior and exterior angles.
- Angles in polygons4:50
A lesson explaining internal angles of shapes, followed by size of interior and exterior angles.
- Vertically opposite angles1:40
A lesson explaining the properties of vertically opposite angles
- Angles in parallel lines - alternate angles1:55
A lesson explaining how to identify alternate angles from angles in parallel lines.
- Angles in parallel lines - co-interior angles2:13
A lesson explaining how to identify co-interior angles from angles in parallel lines.
- Angles in parallel lines - corresponding angles2:09
A lesson explaining how to identify corresponding angles from angles in parallel lines.
- Vector notation and operations using vectors5:28
A lesson to explain vectors, vector notation, and to be able to add, subtract and multiply vectors by constants.
- Translations using vectors and describing translations4:23
A lesson to explain how to translate shapes from given words, then by using vector notation, ending in being able to describe translations using vector notation.
- Pythagoras Theorem4:10
This lesson explains Pythagoras' theorem and how to find a hypoteneuse, leading onto any side, extending to using pythag to prove a triangle is right-angled or not.
- Enlargement (Scale factors)1:47
This lesson explains how to be able to find identify scale factors of 'enlarged' shapes.
- Enlargement from a point (positive scale factor)2:50
The lesson explains how to enlarge a shape by a positive scale factor from a given point.
- Finding centers of enlargements and describing enlargements2:41
A lesson explaining how to find the centre of enlargement, leading to fully describing how a shape has been enlarged.
- Enlargement from a point (negative scale factor)4:39
A lesson which explains how to enlarge shapes given a negative scale factor leading onto being able to describe enlargements.
- Volume of cubes and cuboids2:49
A lesson to use the number of cubes to calculate the volume of a cuboid, leading onto using a formula to calculate the volume of a cuboid.
- Surface area of cubes / cuboids2:39
The lesson explains how to calculate the surface area of a cube, leading onto surface area of a cuboid / rectangular prism.
- Surface area and volume of spheres and hemispheres3:02
A lesson on how to calculate the surface area and volume of spheres and hemispheres.
- Lengths of arcs and area of sectors3:51
This lesson explains how to calculate the lengths of an arc of a circle and how to work out the area of sectors.
- Volume of prisms / harder prisms and cylinders3:40
This lessons explains how to find the volume of prisms and cylinders.
- Surface area of a pyramid2:41
A lesson which show learners how to calculate the surface area of a pyramid, leading onto using pythagoras if needed.
- Volume of a pyramid2:31
This lesson demonstrates how to calculate the volume of a pyramid.
- Constructing angle bisectors2:45
A lesson which explains how to bisect an angle between two lines using a compass and a ruler from an existing line.
- Constructing perpendicular lines5:52
A lesson which explains how to draw a perpendicuar lines using a compass and a ruler from an existing line.
- Loci and loci regions5:11
This lesson demonstrates how draw locus around a point or line, shade regions between loci, and how to show the locus of points which are equidistant from two points.
- Trigonometric graphs (and transformations)8:18
A demonstration of the trigonometric graphs of Sine, Cosine and Tangent.
- Recognising different graph types10:30
A lesson to help learners to be able to identify different types of graphs from their shapes / equations.
- Converting units of area and volume4:32
A lesson which explains how to convert metric units of area and volume.
- Similar shapes (impact on area and volume)4:33
A lesson to help learners understand how to find missing side lengths, areas and volumes of similar shapes.
- Graph transformations (Reflections, stretches and translations)7:49
A lesson to help students to transfom graphs given as functions f(x) - including reflections, stretches and translations.
- Congruent triangles4:27
A lesson explaining congruent shapes, and learners can identify if triangles are congruent based on their sides and angles.
- Mean calculations4:04
A lesson which demonstrates how to use the Mean Formula to calculate problems and how you can combine mean calculations to solve problems.
- Calculating the mode from a frequency table1:03
A lesson which demonstrates how to find the mode from a frequency table.
- Calculating the median from a frequency table3:08
A lesson which demonstrates how to find the median from a frequency table.
- Calculating the mean from a frequency table3:00
A lesson which demonstrates how to calculate Mean the mean from frequency table.
- Find the modal class from grouped tables1:07
A lesson which demonstrates how to establish a modal group from a grouped frequency table.
- Find the median class from grouped tables3:41
A lesson which demonstrates how to establish a median class from a grouped frequency table.
- Estimating the mean from a grouped frequency table2:56
A lesson which demonstrates how to 'estimate' the mean from a grouped frequency table
- Stratified sampling4:49
This lesson demonstrates how to apply a stratified sample to a set of data, and how to solve problems using proportional reasoning to estimate population size (capture/recapture method).
- Probability of mutually exclusive events4:07
This lesson is designed to help understand the term 'mutually exclusive', to be able to calculate the probability an event won't happen, and to be able to fill in missing probabilities in a table.
- Probability and/or rules5:26
A lesson which demonstrates how the and/OR rules when working with Probability.
- Sample spaces and Probability6:35
How to work and complete sample spaces, and how to use them to find probabilities using them.
- Cumulative Frequency tables and graphs13:10
This lesson demonstrates how to complete cumulative frequency tables, and plot cumulative frequency graphs. Leading onto being able to interpret cumulative frequency tables/graphs to find median and interquartiles and interquartile ranges.
- Upper and Lower quartiles and interquartile range5:01
A lesson which demonstrates how to find upper and lower quartiles of a set of numbers, leading onto identifying the inter-quartile range of a set of numbers.
- Box plots10:27
A lesson which demonstrates how to read, draw and compare box plots when given.
- Upper and lower Bounds5:39
This lesson demonstrates how to find upper and lower bounds/limits using pre-rounded numbers to whole numbers, decimal places and significant figures.
- Accuracy with Bounds3:12
A lesson which explains how to give your answer to an appropriate degree of accuracy using upper and lower bounds.
- Percentage error with bounds2:36
A lesson which demonstrates how to find the maximum percentage error of rounded numbers using upper and lower bounds.
- Simplifying and basic operations with Surds6:01
This lesson demonstrates how simplify surds, add/subtract surds, leading onto multiplying surds.
- Surds with brackets4:31
A lesson which shows how to expand brackets that contain surds.
- Rationalising the denominator5:45
This lesson demonstrates how to rationalise surds starting with simple multiple of denominator, leading onto denominator having 2 terms.
- Inverse and direct proportionality4:19
This lesson demonstrates how to work with problems that involve direct proportion followed by problems involving inverse proportional change.
- Negative and fractional Indices4:01
A lesson which is designed to suppot learners in working with negative and fractional powers, and apply these to common square/cubed numbers.
- Converting and working with numbers in index form3:07
A lesson which demonstrates how to convert numbers so that they are powers of the same base in order to solve indices problems.
- Factorising quadratic expressions (Part 2)6:29
This lesson demonstrates to learners how to factorise quadratics where the coefficient of x^2 is more than one.
- Solving quadratic equations by factorising (Part 2)3:01
This lesson demonstrates how to factorise quadratics where with coefficient of x^2 is more than one.
- Representing inequalities on graphs9:43
This lessons to learners how to represent inequalities and it's regions on graph paper.
- Solving quadratic inequalities (by factorising)6:45
This lesson demonstrates to learners how to solve quadratic inequalities given in the form x^2 + bx +c.
- Using a quadratic nth term3:27
This lesson demonstrates to learners how to use quadratic nth terms to find a specific term in a sequence.
- Factorising (using the difference of two squares)3:31
The lesson which demonstrates how to factorise quadratic expressions by using the difference of 2 squares.
- Finding the equation of a straight line7:59
The lesson explains how to find the equation of a line initially given a gradient and a co-ordinate, leading onto finding the equation from 2 co-ordinates, not given the gradient.
- Geometric sequences (Common ratio)7:31
The lesson demonstrates to learners how to identify a common ratio of a sequence, followed by being able to find a term given a sequences first number and common ratio.
- Completing the square of quadratic expressions (Part 1)3:01
This lesson which demonstrates how to re-arrange expressions by completing the square.
- Completing the square of quadratic expressions (Part 2)7:40
This lesson demonstrates to learners how to re-arrange expressions by completing the square where the coefficient of x^2 is greater than 1
- Solving quadratic equations by completing the square5:44
This lesson explains how to solve quadratic equations by completing the square with co-efficient of x^2 as 1, extending to where the co-efficient of x^2 is greater than 1
- Adding and subtracting algebraic fractions5:48
A lesson which demonstrates to learners how to add and subtract algebraic fractions.
- Multiplying and dividing algebraic fractions (by factorising)7:04
This lesson demonstrates to learners how to multiply and divide algebraic fractions by utilising factorising to make the process simpler.
- Simplifying algebraic fractions by factorising (51)6:56
A lesson which demonstrates to learners how to simplify algebraic fractions by factorising both numerators and denominators.
- Finding the Nth term of a quadratic sequence5:37
This lesson will demonstrate the method of how to obtain a quadratic Nth term from a written quadratic number sequence.
- Find equations of circles in the form x² + y² = r²2:19
This lesson demonstrates to learners the format of an equation of a circle and how that related to it's radius and it's centre.
- Find the equation of a tangent to a circles6:58
This lesson demonstrates to learners how to find the equation of a tangent given the centre of a circle and a co-ordinate on a circle's circumference.
- Fixed point Iteration6:29
This lesson introduces the notation of iteration and how it's used to find roots of equations.
- Solving quadratic simultaneous equations7:14
This lesson demonstrates to learners how to solve simultaneous equations, where one equation is a quadratic, and the other is linear equation.
- Turning points of quadratic graphs3:07
This lesson demonstrates to learners how to find the turning point of a quadratic graph / function.
- Expanding Triple Brackets5:06
This lesson demonstrates the method of expanding triple brackets - with varying degrees of difficulty.
- Solving fractional equations (Part 2 - Quadratics)7:33
This lesson demonstrates how to solve fractional equations which end up requiring students to solve a quadratic equation.
- Drawing / plotting quadratic graphs11:05
The lesson which demonstrates how to plot quadratic graphs, how to find solutions from quadratic graphs, and leading onto solving simultaneous equations which involve quadratic graphs.
- Exponential growth and decay7:21
The lesson demonstrates how to recognise and plot exponential growth and decay graphs
- Finding an exponential equation from a graph4:01
This lesson will demonstrate to learners how to find an exponential equation from a graph and it's co-ordinates.
- Algebraic proofs6:40
This lesson demonstrates to learners how algebra can be used to prove statements and how to present that as a proof.
- Functions and function notation2:43
This lesson which introduced the correct notation for functions and how numbers can be appleid into a function.
- Composite functions5:03
This lessons which demonstrates to learners how to work with composite functions and undetstanding their notation.
- Functions (Part 3 - Inverse functions)5:09
This lesson demonstrates to learners how to find inverse functions and the notation used to represent it. This is the 3rd of 3 lessons dedicated to functions.
Requirements
- Basic Primary school Mathematics
- A scientific calculator
- Maths geometry equipment (Ruler, protractor and set of compasses)
Description
With 255 lectures, over 21 hours of video content, hundreds of printable worksheets with thousands of practice questions, this is without the doubt one of the most comprehensive GCSE / iGCSE Maths courses and is structured in difficulty order, so you can complete it at your own pace, whilst also having access to it at any point in the future.
The course is designed to meet the needs of both the UK GCSE and International GCSE (iGCSE) specifications.
The content is reviewed on an annual basis to ensure that material is in line with the syllabus being assessed and additional material will be updated should the syllabus change after learner's purchased access.
All subjects follow a similar learning style.
Most topic lessons include:
An instruction video for each topic which explains the concepts and also guides through a number of example questions
A printable worksheet to provide a significant amount of consolidation content
Answers to the printable worksheet
The learning is split into 3 levels of Foundation, Intermediate and Higher and each level is split into 4 sub-sections: Geometry, Algebra, Number and Statistics.
We have also separated iGCSE content which is not assessed at GCSE.
Learners are encouraged to access the material from start to end in-order, but can access any part of it should a learner feel they are further on in their learning journey.
Who this course is for:
- Anyone who is looking to take the GCSE or iGCSE Mathematics examination
- Any adult who wished to consolidate / improve their overall mathematics understanding