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Number: 6 to 9?

This content covers grades 6 to 9 of the GCSE syllabus which is suitable for KS4 and is likely to be coverered in years 9-11 of UK schooling. This content is essential for achieving the top grades and for those considering A level Maths.

Laws of indices – fractions and negatives 00:04:02

Fraction and negative powers Assessment

Converting numbers to use laws of indices 00:03:07

Converting numbers to use index laws Assessment

Upper and Lower bounds 00:05:40

Calculating with upper and lower bounds Assessment

Accuracy with bounds 00:03:13

Accuracy with bounds Assessment

Maximum percentage errors 00:02:37

Maximum percentage error with bounds Assessment

Error intervals and truncating 00:05:50

Error intervals and truncating Assessment

Surds 00:06:02

Simplifying surds Assessment

Surds and brackets 00:05:50

Surds: Expanding brackets Assessment

Rationalising surds 00:05:46

Rationalising surds Assessment

Quiz - Rationalising surds using difference of two squares

Direct and inverse proportionality 00:04:20

Direct proportionality Assessment

Inverse proportionality Assessment

Converting recurring decimals to fractions 00:03:48

Converting recurring decimals to fractions Assessment

Algbera: 6 to 9?

This content covers grades 6 to 9 of the GCSE syllabus which is suitable for KS4 and is likely to be coverered in years 9-11 of UK schooling. This content is essential for achieving the top grades and for those considering A level Maths.

Factorising quadratics with coefficients of x² greater than 1 00:06:30

Factorising quadratics Part 2 Assessment

Solving quadratic inequalities (by factorising) 00:06:46

Solving quadtratic inequalities Assessment

Perpendicular gradients 00:04:20

Perpendicular gradients Assessment

Parallel and perpendicular equations of lines 00:07:13

Equations of parallel and perpendicular lines Assessment

Solve quadratic equations using the “formula” 00:05:58

Solving quadratic equations using the formula Assessment

Changing the subject of a formula by factorising 00:05:31

Changing the subject of a formula (factorising) Assessment

Factorising – the difference of two squares 00:03:31

Factorising using the difference of two squares Assessment

Equation of a straight line (with a gradient and a co-ordinate) 00:08:00

Equations of lines (Given the gradient and a point) Assessment

Geometric sequences (Common ratio) 00:07:32

Geometric Sequences Assessment

Completing the square of a quadratic expression 00:06:04

Completing the square of quadratic expressions Assessment

Completing the square of quadratic expression with x² greater than 1 00:07:41

Completing the square of quadratic expressions with $x^2$ greater than 1 Assessment

Solving quadratic equations by completing the square 00:03:02

Solving quadratic equations by completing the square Assessment

Solving quadratic equations by completing the square where x² is greater than 1 00:05:11

Solving quadratic equations by completing the square with $x^2$ greater than 1 Assessment

Drawing quadratic graphs and finding solutions using graphs 00:11:06

Solutions of quadratic equations from graphs Assessment

Quadratic simultaneous equations 00:07:15

Solving quadratic simultaneous equations Assessment

Adding and subtracting algebraic fractions 00:05:49

Adding Algebraic fractions Assessment

Multiplying and dividing algebraic fractions 00:07:18

Multiplying and Dividing Algebraic fractions Assessment

Simplifying algebraic fractions 00:06:57

Simplifying Algebraic fractions Assessment

Using a quadratic Nth term 00:03:28

Using a quadratic nth term Assessment

Finding a quadratic Nth term 00:05:38

Finding the quadratic nth term Assessment

Circle equations in the form x² + y² = r² 00:02:20

Equations of circles Assessment

Equations of tangents to a circle 00:06:59

Equations of circle tangents Assessment

Fixed point Iteration 00:06:30

Fixed point iteration Assessment

Turning Points 00:03:08

Turning Points Assessment

Triple brackets 00:05:07

Expanding Triple Brackets Assessment

Solving fractional equations (quadratics) 00:07:34

Solving fractional equations (quadratics) Assessment

Exponential growth and decay 00:07:22

Exponential equations with graphs 00:04:01

Exponential equations Assessment

Proofs 00:06:40

Function (notation) 00:02:44

Function (notation) Assessment

Composite Functions 00:05:04

Composite Functions Assessment

Inverse Functions 00:05:10

Inverse functions Assessment

Geometry: 6 to 9?

This content covers grades 6 to 9 of the GCSE syllabus which is suitable for KS4 and is likely to be coverered in years 9-11 of UK schooling. This content is essential for achieving the top grades and for those considering A level Maths.

Pythagoras theorem and Trigonometry in 3D 00:03:54

Trigonometry and Pythagoras in 3D shapes Assessment

Surface area and volume of spheres and hemispheres 00:03:19

Surface area and volume of spheres Assessment

Area of a triangle using the formula: A = ½abSinC 00:03:52

Area of triangles with 1/2abSinc Assessment

Circle theorems Part 1 – Angles at the centre, cyclic quadrilaterals and angles in a semi-circle. 00:06:28

Circle theorems Part 2 – Subtended by the same arc, tangents and alternate segment theorem. 00:07:32

Circle theorems (all) Assessment

Cosine Rule – Missing Sides and Angles 00:04:43

Cosine rule: Missing sides and angles Assessment

Sine Rule – Missing Sides and Angles 00:04:32

Sine rule: Missing sides and angles Assessment

Angles of Elevation and Depression 00:07:07

Angles of Elevation and Depression Assessment

Exact trigonometric ratios (30°, 45° and 60°) 00:05:56

Exact trigonometric ratios Assessment

Surface area of compound 3D shapes 00:03:15

Surface Area of Compound 3D shapes Assessment

Volume of compound 3D shapes 00:03:27

Volume of Compound 3D shapes Assessment

Converting units of area and volume 00:04:33

Converting units of area and volume Assessment

Similar shapes (area and volume) 00:10:02

Similar shapes (area and volume) Assessment

Congruent shapes and Congruent triangles 00:04:28

Congruent triangles Assessment

Bearings 00:06:45

Bearings Assessment

Graph transformations – translations, stretches and reflections 00:08:22

Graph transformations Assessment

Trigonometric graphs 00:08:18

Trigonometric graphs Assessment

Graph types 00:10:31

Graph types Assessment

Inequalities on graphs 00:10:34

Inequalities on graphs Assessment

Volume of cones 00:01:45

Volume of cones Assessment

Surface area of cones 00:03:56

Surface area of cones Assessment

Volume of pyramids 00:02:32

Volume of pyramids Assessment

Surface area of pyramids 00:02:41

Surface area of pyramids Assessment

Volume of frustums 00:08:05

Volume of frustums Assessment

Enlargements using a negative scale factor 00:02:18

Negative enlargements Assessment

Area of a segment using Sine 00:02:58

Area of segments using Sine Assessment

Solving vector problems 00:06:30

Solving vector problems Assessments

Statistics: 6 to 9?

This content covers grades 6 to 9 of the GCSE syllabus which is suitable for KS4 and is likely to be coverered in years 9-11 of UK schooling. This content is essential for achieving the top grades and for those considering A level Maths.

Probability Trees (independent and dependent events) 00:10:24

Probability Trees Assessment

Box plots: Reading, drawing and interpreting 00:10:28

Box plots Assessment

Frequency density tables and Histograms 00:11:47

Frequency density and histograms Assessment

Interpreting Histograms 00:06:16

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Adding and subtracting algebraic fractions

function popup2(url) { window.open("https://maths-school.co.uk/aschool/algbera/AlgebraicFractions1", 'new', 'scrollbars=no,menubar=no,status=no,toolbar=no'); } Click here to view the lesson at your pace - Step by Step

function popup(url) { window.open("https://maths-school.co.uk/quiz/g79a/alg/algfract1", 'new', 'scrollbars=no,menubar=no,status=no,toolbar=no'); } Click here to do a practice quiz

Our Skills and Problem Solving Workbooks offer additional learning to these FREE online courses.

These workbooks are most suitable for Year 9 to 11 “Higher” students and support this course.

Books are on sale now at and delivered by Amazon.

Year 8 Maths Skills Workbook

Grade 6 to 9 GCSE Exam Problem Solving Question Workbook

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