Further Maths

Further Maths 4PM1 — specification explorer

All 43 specification statements from the official Pearson Edexcel specification, as printed — filter by paper, unit or tier exactly as Pearson Edexcel assesses them.

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43 spec points

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Assessment homes come from the parsed Pearson specification (content summaries & assessment overviews). Hover a chip for the printed rule. Filters appear only where the qualification has that structure — a linear IGCSE has no unit scope, and only Maths A splits Foundation / Higher tiers.

1. Logarithmic functions and indices

1AThe functionsa andlogb x (whereb is a natural number greater than one)4PM1/014PM1/02
1BUse and properties of indices and logarithms, including change of base4PM1/014PM1/02
1CSimple manipulation of surds4PM1/014PM1/02
1DRationalising the denominator4PM1/014PM1/02

2. The quadratic function

1. The quadratic function

2AThe manipulation of quadratic expressions4PM1/014PM1/02
2BThe roots of a quadratic equation4PM1/014PM1/02
2CSimple examples involving functions of the roots of a quadratic equation4PM1/014PM1/02

3. Identities and inequalities

1. Identities and inequalities

3ASimple algebraic division4PM1/014PM1/02
3BThe factor and remainder theorems4PM1/014PM1/02
3CSolutions of equations, extended to include the simultaneous solution of one linear and one quadratic equation in two variables4PM1/014PM1/02
3DSimple inequalities, linear and quadratic4PM1/014PM1/02
3EThe graphical representation of linear inequalities in two variables4PM1/014PM1/02

4. Graphs

1. Graphs

4AGraphs of polynomials and rational functions with linear denominators4PM1/014PM1/02
4BThe solution of equations and transcendental functions by graphical methods4PM1/014PM1/02

5. Series

1. Series

5AUse of the ∑ notation4PM1/014PM1/02
5BArithmetic and geometric series4PM1/014PM1/02

6. The binomial series

1. The binomial series

6AUse of the binomial series(1 + x)4PM1/014PM1/02

7. Scalar and vector quantities

1. Scalar and vector quantities

7AThe addition and subtraction of coplanar vectors and the multiplication of a vector by a scalar4PM1/014PM1/02
7BComponents and resolved parts of a vector4PM1/014PM1/02
7CMagnitude of a vector4PM1/014PM1/02
7DPosition vector4PM1/014PM1/02
7EUnit vector4PM1/014PM1/02
7FUse of vectors to establish simple properties of geometrical figures4PM1/014PM1/02

8. Rectangular Cartesian coordinates

1. Rectangular Cartesian coordinates

8AThe distance between two points4PM1/014PM1/02
8BThe point dividing a line in a given ratio4PM1/014PM1/02
8CGradient of a straight line joining two points4PM1/014PM1/02
8DThe straight line and its equation4PM1/014PM1/02
8EThe condition for two lines to be parallel or to be perpendicular4PM1/014PM1/02

9. Calculus

1. Calculus

9ADifferentiation and integration of sums of multiples of powers of x (excluding 1 ax sin ax, cos ax, e integration of ),4PM1/014PM1/02
9BDifferentiation of a product, quotient and simple cases of a function of a function4PM1/014PM1/02
9CApplications to simple linear kinematics and to determination of areas and volumes4PM1/014PM1/02
9DStationary points and turning points4PM1/014PM1/02
9EMaxima and minima4PM1/014PM1/02
9FThe equations of tangents and normals to the curvey = f(x)4PM1/014PM1/02
9GApplication of calculus to rates of change and connected rates of change4PM1/014PM1/02

10. Trigonometry

1. Trigonometry

10ARadian measure, including use for arc length and area of sector4PM1/014PM1/02
10BThe three basic trigonometric ratios of angles of any magnitude (in degrees or radians) and their graphs4PM1/014PM1/02
10CApplications to simple problems in two or three dimensions (including angles between a line and a plane and between two planes)4PM1/014PM1/02
10DUse of the sine and cosine formulae 2 24PM1/014PM1/02
10EThe identity cos θ + sin θ = 1 sinθ4PM1/014PM1/02
10FUse of the identity tanθ = cosθ4PM1/014PM1/02
10GThe use of the basic addition formulae of trigonometry4PM1/014PM1/02
10HSolution of simple trigonometric equations for a given interval4PM1/014PM1/02