Worksheet library · GCSE

GCSE Further Maths Worksheets

Choose from 37 GCSE Further Maths worksheet packs, covering 350 printable pages. This view is for finding a focused sheet to print: each PDF keeps one topic together and ends with its own full mark scheme.

AQA Level 2

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Algebra (16)Geometry, Calculus, Matrices and Surds (21)

How to use these worksheets

Pick one skill that matches the lesson or the gap you have found. Open the pack page first if you want to check the level and length before using paper.
Print the PDF and set a clear stopping point. A single focused GCSE Further Maths sheet usually gives better evidence than a long mixed booklet when you are checking whether one method is secure.
Mark it with the scheme at the back. Keep the questions that were missed, write down the reason, then return to that skill with a new pack instead of repeating answers the student already knows.

See the method: Algebraic Fractions: Simplifying, Multiplying and Dividing

Simplify fully (x^2 + x - 6)/(x^2 - 9).

Factorise the numerator: x^2 + x - 6 = (x + 3)(x - 2).
Factorise the denominator using the difference of two squares: x^2 - 9 = (x - 3)(x + 3).
Rewrite the fraction as [(x + 3)(x - 2)] / [(x - 3)(x + 3)].
Cancel the common factor of (x + 3) from the numerator and denominator.
Final answer: (x - 2)/(x - 3).

2.1 Algebraic Fractions: Simplifying, Multiplying and Dividing6p + answers · 85 marks · PDF

2.1d Algebraic Fractions: Simplifying, Multiplying and Dividing: Fluency and Exam Drill4p + answers · 40 marks · PDF

2.2 Algebraic Fractions: Adding, Subtracting and Solving Equations6p + answers · 84 marks · PDF

2.2d Algebraic Fractions: Adding, Subtracting and Solving Equations: Fluency and Exam Drill4p + answers · 40 marks · PDF

2.3 Quadratic Equations: Factorising, the Formula and Completing the Square6p + answers · 70 marks · PDF

2.3d Quadratic Equations: Factorising, the Formula and Completing the Square: Fluency and Exam Drill4p + answers · 40 marks · PDF

2.4 Quadratic Inequalities6p + answers · 70 marks · PDF

2.4d Quadratic Inequalities: Fluency and Exam Drill4p + answers · 40 marks · PDF

2.5 Simultaneous Equations: Linear and Quadratic7p + answers · 109 marks · PDF

2.5d Simultaneous Equations: Linear and Quadratic: Fluency and Exam Drill4p + answers · 40 marks · PDF

2.6 Functions: Composite and Inverse Functions8p + answers · 104 marks · PDF

2.6d Functions: Composite and Inverse Functions: Fluency and Exam Drill4p + answers · 40 marks · PDF