Higher (6 - 9)
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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
Video - 00:04:02 mins
Fraction and negative powers Assessment
Quiz
Converting numbers to use laws of indices
Video - 00:03:07 mins
Converting numbers to use index laws Assessment
Quiz
Upper and Lower bounds
Video - 00:05:40 mins
Calculating with upper and lower bounds Assessment
Quiz
Accuracy with bounds
Video - 00:03:13 mins
Accuracy with bounds Assessment
Quiz
Maximum percentage errors
Video - 00:02:37 mins
Maximum percentage error with bounds Assessment
Quiz
Error intervals and truncating
Video - 00:05:50 mins
Error intervals and truncating Assessment
Quiz
Surds
Video - 00:06:02 mins
Simplifying surds Assessment
Quiz
Surds and brackets
Video - 00:05:50 mins
Surds: Expanding brackets Assessment
Quiz
Rationalising surds
Video - 00:05:46 mins
Rationalising surds Assessment
Quiz
Quiz - Rationalising surds using difference of two squares
Quiz
Direct and inverse proportionality
Video - 00:04:20 mins
Direct proportionality Assessment
Quiz
Inverse proportionality Assessment
Quiz
Converting recurring decimals to fractions
Video - 00:03:48 mins
Converting recurring decimals to fractions Assessment
Quiz
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
Video - 00:06:30 mins
Factorising quadratics Part 2 Assessment
Quiz
Solving quadratic inequalities (by factorising)
Video - 00:06:46 mins
Solving quadtratic inequalities Assessment
Quiz
Perpendicular gradients
Video - 00:04:20 mins
Perpendicular gradients Assessment
Quiz
Parallel and perpendicular equations of lines
Video - 00:07:13 mins
Equations of parallel and perpendicular lines Assessment
Quiz
Solve quadratic equations using the “formula”
Video - 00:05:58 mins
Solving quadratic equations using the formula Assessment
Quiz
Changing the subject of a formula by factorising
Video - 00:05:31 mins
Changing the subject of a formula (factorising) Assessment
Quiz
Factorising – the difference of two squares
Video - 00:03:31 mins
Factorising using the difference of two squares Assessment
Quiz
Equation of a straight line (with a gradient and a co-ordinate)
Video - 00:08:00 mins
Equations of lines (Given the gradient and a point) Assessment
Quiz
Geometric sequences (Common ratio)
Video - 00:07:32 mins
Geometric Sequences Assessment
Quiz
Completing the square of a quadratic expression
Video - 00:06:04 mins
Completing the square of quadratic expressions Assessment
Quiz
Completing the square of quadratic expression with x² greater than 1
Video - 00:07:41 mins
Completing the square of quadratic expressions with $x^2$ greater than 1 Assessment
Quiz
Solving quadratic equations by completing the square
Video - 00:03:02 mins
Solving quadratic equations by completing the square Assessment
Quiz
Solving quadratic equations by completing the square where x² is greater than 1
Video - 00:05:11 mins
Solving quadratic equations by completing the square with $x^2$ greater than 1 Assessment
Quiz
Drawing quadratic graphs and finding solutions using graphs
Video - 00:11:06 mins
Solutions of quadratic equations from graphs Assessment
Quiz
Quadratic simultaneous equations
Video - 00:07:15 mins
Solving quadratic simultaneous equations Assessment
Quiz
Adding and subtracting algebraic fractions
Video - 00:05:49 mins
Adding Algebraic fractions Assessment
Quiz
Multiplying and dividing algebraic fractions
Video - 00:07:18 mins
Multiplying and Dividing Algebraic fractions Assessment
Quiz
Simplifying algebraic fractions
Video - 00:06:57 mins
Simplifying Algebraic fractions Assessment
Quiz
Using a quadratic Nth term
Video - 00:03:28 mins
Using a quadratic nth term Assessment
Quiz
Finding a quadratic Nth term
Video - 00:05:38 mins
Finding the quadratic nth term Assessment
Quiz
Circle equations in the form x² + y² = r²
Video - 00:02:20 mins
Equations of circles Assessment
Quiz
Equations of tangents to a circle
Video - 00:06:59 mins
Equations of circle tangents Assessment
Quiz
Fixed point Iteration
Video - 00:06:30 mins
Fixed point iteration Assessment
Quiz
Turning Points
Video - 00:03:08 mins
Turning Points Assessment
Quiz
Triple brackets
Video - 00:05:07 mins
Expanding Triple Brackets Assessment
Quiz
Solving fractional equations (quadratics)
Video - 00:07:34 mins
Solving fractional equations (quadratics) Assessment
Quiz
Exponential growth and decay
Video - 00:07:22 mins
Exponential equations with graphs
Video - 00:04:01 mins
Exponential equations Assessment
Quiz
Proofs
Video - 00:06:40 mins
Function (notation)
Video - 00:02:44 mins
Function (notation) Assessment
Quiz
Composite Functions
Video - 00:05:04 mins
Composite Functions Assessment
Quiz
Inverse Functions
Video - 00:05:10 mins
Inverse functions Assessment
Quiz
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
Video - 00:03:54 mins
Trigonometry and Pythagoras in 3D shapes Assessment
Quiz
Surface area and volume of spheres and hemispheres
Video - 00:03:19 mins
Surface area and volume of spheres Assessment
Quiz
Area of a triangle using the formula: A = ½abSinC
Video - 00:03:52 mins
Area of triangles with 1/2abSinc Assessment
Quiz
Circle theorems Part 1 - Angles at the centre, cyclic quadrilaterals and angles in a semi-circle.
Video - 00:06:28 mins
Circle theorems Part 2 - Subtended by the same arc, tangents and alternate segment theorem.
Video - 00:07:32 mins
Circle theorems (all) Assessment
Quiz
Cosine Rule – Missing Sides and Angles
Video - 00:04:43 mins
Cosine rule: Missing sides and angles Assessment
Quiz
Sine Rule – Missing Sides and Angles
Video - 00:04:32 mins
Sine rule: Missing sides and angles Assessment
Quiz
Angles of Elevation and Depression
Video - 00:07:07 mins
Angles of Elevation and Depression Assessment
Quiz
Exact trigonometric ratios (30°, 45° and 60°)
Video - 00:05:56 mins
Exact trigonometric ratios Assessment
Quiz
Surface area of compound 3D shapes
Video - 00:03:15 mins
Surface Area of Compound 3D shapes Assessment
Quiz
Volume of compound 3D shapes
Video - 00:03:27 mins
Volume of Compound 3D shapes Assessment
Quiz
Converting units of area and volume
Video - 00:04:33 mins
Converting units of area and volume Assessment
Quiz
Similar shapes (area and volume)
Video - 00:10:02 mins
Similar shapes (area and volume) Assessment
Quiz
Congruent shapes and Congruent triangles
Video - 00:04:28 mins
Congruent triangles Assessment
Quiz
Bearings
Video - 00:06:45 mins
Bearings Assessment
Quiz
Graph transformations - translations, stretches and reflections
Video - 00:08:22 mins
Graph transformations Assessment
Quiz
Trigonometric graphs
Video - 00:08:18 mins
Trigonometric graphs Assessment
Quiz
Graph types
Video - 00:10:31 mins
Graph types Assessment
Quiz
Inequalities on graphs
Video - 00:10:34 mins
Inequalities on graphs Assessment
Quiz
Volume of cones
Video - 00:01:45 mins
Volume of cones Assessment
Quiz
Surface area of cones
Video - 00:03:56 mins
Surface area of cones Assessment
Quiz
Volume of pyramids
Video - 00:02:32 mins
Volume of pyramids Assessment
Quiz
Surface area of pyramids
Video - 00:02:41 mins
Surface area of pyramids Assessment
Quiz
Volume of frustums
Video - 00:08:05 mins
Volume of frustums Assessment
Quiz
Enlargements using a negative scale factor
Video - 00:02:18 mins
Negative enlargements Assessment
Quiz
Area of a segment using Sine
Video - 00:02:58 mins
Area of segments using Sine Assessment
Quiz
Solving vector problems
Video - 00:06:30 mins
Solving vector problems Assessments
Quiz
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)
Video - 00:10:24 mins
Probability Trees Assessment
Quiz
Box plots: Reading, drawing and interpreting
Video - 00:10:28 mins
Box plots Assessment
Quiz
Frequency density tables and Histograms
Video - 00:11:47 mins
Frequency density and histograms Assessment
Quiz
Interpreting Histograms
Video - 00:06:16 mins