Part 1 Algebraic fractions: simplifying, multiplying, dividing, adding and subtracting fractions; solving equations involving fractions. Part 2 Rational and irrational numbers: irrational numbers; changing recurring decimals to fractions; surds; fractional indices and the laws of indices. Part 3 Quadratic equations that factorize: further factorization; solving quadratic equations by factorization. Part 4 Solving quadratic equations: completing the square; solving quadratic equations by completing the square and by the formula; further fractional equations. Part 5 Formulas: working with numbers in standard form; construction of formulas; transformation of formulas; simplification of expressions containing fractions; substituting one expression into another. Part 6 Graphs: sketching graphs; quadratic inequalities; solution of equations by intersecting graphs. Part 7 Tangents to curves and travel graphs: gradients of chords and tangents; gradient of a curve at a point; travel graphs; velocity; finding velocity from a distance-time graph; acceleration; finding acceleration and distance from a velocity-time graph. Part 8 Constructions and transformations: ruler and compasses constructions; finding the centre of rotation by construction; compound transformations. Part 9 Lengths, areas and volumes: upper and lower bounds of results when using corrected numbers; surface area and volume of a pyramid; the angle between a line and a plane. Part 10 Cylinders, cones and spheres: lengths of arcs and areas of sectors; surface area and volume of a cylinder, a cone and a sphere. Part 11 Sine and cosine formulas: the sine and the cosine of an obtuse angle; the sine formula including its use to find an angle when two sides and a non-included angle are given; the cosine formula; the area of a triangle. Part 12 Congruent triangles: congruent figures; congruent triangles; properties of quadrilaterals. Part 13 Angles in a circle: angles subtended by the arc of a circle at the circumference are equal; the angle subtended at the centre of a circle is twice the angle subtended at the circumference by the same arc; the angle in a semi-circle is a right angle; properties of cyclic quadrilaterals; tangents from a point; alternate segment theorem. Part 14 Similar figures: relationships between lengths, areas and volumes of similar shapes. Part 15 Information from straight line graphs: line graphs; moving averages; finding the equation on the line of best fit on a scatter graph; plotting the results from experiments and using y=mx+c to find relationships. Part 16 Probability: conditional probability; tree diagrams.
