7M20 learning checklist

Find the lessons and questions for your course. Tick a row when you’ve reviewed it; the tick is a reminder for you.

This checklist includes the specification clauses currently listed on the site. Check the official specification for the full course.

Select this course and options · Read coverage limitations

Enable JavaScript to filter the list to your options and save your ticks.

Specification clauses and resources
Reviewed	Topic and clause	Teaching	Selected practice	Assessment
Reviewed	Surds and rationalising denominators core · N1.2	Surds and exact answers Lesson and examples	Rationalise a binomial denominator Combine and simplify surds Rationalise a binomial surd denominator	Select this course to see available tests Make a practice test
Reviewed	Domain and range core · A2.3	Domain and range Composite functions Inverse functions Choosing an inverse branch Lesson and examples	Composite functions Inverse functions Restrict a quadratic inverse Range on a restricted quadratic domain Evaluate an inverse on its permitted branch Find a quadratic inverse with its domain	Select this course to see available tests Make a practice test
Reviewed	Expanding and simplifying core · A2.1	Expanding and factorising Algebraic fractions The factor theorem	Use the factor theorem Binomial coefficients Divide polynomials Add rational expressions Subtract rational expressions Multiply rational expressions Divide rational expressions Complete factorisation of a cubic	Select this course to see available tests Make a practice test
Reviewed	Completing the square core · A2.5	Completing the square Lesson and examples	Complete the square	Select this course to see available tests Make a practice test
Reviewed	Graphs and piecewise functions core · A2.6	Sketching functions Piecewise graphs and endpoints Exponential graphs and parameters	No questions yet	Select this course to see available tests Make a practice test
Reviewed	Linear and quadratic equations core · A2.12	Solving quadratic equations Lesson and examples	Quadratic equations	Select this course to see available tests Make a practice test
Reviewed	Two simultaneous equations core · A2.13	Simultaneous linear and quadratic equations	Simultaneous equations Non-linear simultaneous equations Line and parabola intersections	Select this course to see available tests Make a practice test
Reviewed	Linear and quadratic inequalities core · A2.14	Quadratic inequalities Inequalities and interval notation	Quadratic inequality interval endpoints Solve a linear inequality with a sign reversal Solve a quadratic inequality in interval notation	Select this course to see available tests Make a practice test
Reviewed	Fractional and negative indices core · N1.1	Fractional and negative indices	Solve an equation with a negative fractional index	Select this course to see available tests Make a practice test
Reviewed	Algebraic proof core · A2.2	Algebraic proof and counterexamples Proving divisibility with consecutive integers	Algebraic quotient in a divisibility argument	Select this course to see available tests Make a practice test
Reviewed	Distance between points core · G4.6	Pythagoras in three dimensions Midpoints and section ratios Exact distances between coordinates	Distance between points Divide a line in a ratio Exact distance between general coordinates	Select this course to see available tests Make a practice test
Reviewed	Straight line equations core · A2.4	Straight lines and gradients Lesson and examples	Line through two points Line equation in equivalent forms	Select this course to see available tests Make a practice test
Reviewed	General circle equations core · A2.10	Circles and tangents	Centre and radius of a circle Tangent to a circle	Select this course to see available tests Make a practice test
Reviewed	Geometric proof core · G4.1	Circle theorems and angle reasoning Writing a geometric proof Proving equal tangent lengths	Angles in a cyclic quadrilateral	Select this course to see available tests Make a practice test
Reviewed	Sine rule, cosine rule and triangle area core · G4.4	Sine rule, cosine rule and triangle area The two possible sine-rule angles Lesson and examples	Triangle area from an included angle Cosine rule with an exact side Sine rule with an exact squared side	Select this course to see available tests Make a practice test
Reviewed	Exact trigonometric values core · G4.3	Exact trigonometric values	Exact squared trigonometric values Exact trigonometric values in all quadrants	Select this course to see available tests Make a practice test
Reviewed	Solving linear equations core · A2.11	No lesson yet	Solve a linear equation	Select this course to see available tests Make a practice test
Reviewed	Trigonometric solutions in an interval core · A2.11–A2.12	Trigonometric equations in intervals	Trigonometric equations in an interval	Select this course to see available tests Make a practice test
Reviewed	A cuboid space diagonal core · G4.2	Pythagoras in three dimensions	Space diagonal of a cuboid	Select this course to see available tests Make a practice test
Reviewed	Triangle area from two sides and the included angle core · G4.5	Sine rule, cosine rule and triangle area Lesson and examples	Triangle area from an included angle	Select this course to see available tests Make a practice test
Reviewed	Estimate an area using the trapezium rule core · A2.9	Area estimates using the trapezium rule	No questions yet	Select this course to see available tests Make a practice test
Reviewed	Optimise over a feasible region core · A2.4, A2.11, A2.14	Linear programming on a feasible region	No questions yet	Select this course to see available tests Make a practice test
Reviewed	Range of a shifted trigonometric graph core · A2.6–A2.7	Sketching sine, cosine and tangent	Range and period of a sine graph	Select this course to see available tests Make a practice test