Worksheet library · IGCSE

IGCSE Maths Worksheets

Choose from 19 IGCSE Maths worksheet packs, covering 109 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.

Edexcel

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 IGCSE 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: Differentiation: Gradients and Turning Points

A curve has equation y = x^3 - 6x^2 + 9x. Find the coordinates of the two turning points and determine the nature of each.

Differentiate term by term: dy/dx = 3x^2 - 12x + 9.
Set the gradient to zero: 3x^2 - 12x + 9 = 0. Divide through by 3 to get x^2 - 4x + 3 = 0, then factorise to (x - 1)(x - 3) = 0, so x = 1 or x = 3.
Substitute into the original equation for the y values: when x = 1, y = 1 - 6 + 9 = 4, and when x = 3, y = 27 - 54 + 27 = 0.
Differentiate again for the nature: the second derivative is 6x - 12.
At x = 1 the second derivative is 6 - 12 = -6, which is negative, so (1, 4) is a maximum. At x = 3 it is 18 - 12 = 6, which is positive, so (3, 0) is a minimum.
Final answer: a maximum at (1, 4) and a minimum at (3, 0).

5.1 Differentiation: Gradients and Turning Points5p + answers · 50 marks · PDF

1.1 Sets and Venn Notation5p + answers · 43 marks · PDF

2.1 Linear Programming4p + answers · 40 marks · PDF

2.2 Functions: Composite and Inverse Functions4p + answers · 40 marks · PDF

2.3 Matrices and Matrix Transformations4p + answers · 35 marks · PDF

3.1 Vector Geometry: Proof and Ratio Problems3p + answers · 40 marks · PDF

3.2 The Sine Rule, Cosine Rule and Area of a Triangle4p + answers · 40 marks · PDF

3.3 Similarity: Length, Area and Volume Scale Factors4p + answers · 37 marks · PDF

2.4 Arithmetic and Geometric Sequences and Series4p + answers · 33 marks · PDF

2.5 Direct and Inverse Proportion With Non-Linear Powers3p + answers · 37 marks · PDF

2.6 Transformations of Graphs of Functions5p + answers · 28 marks · PDF

3.4 Vectors in Two Dimensions: Notation, Magnitude and Arithmetic4p + answers · 40 marks · PDF