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Cambridge iGCSE Algebra and graphs Revision Worksheets

Browse our iGCSE revision worksheets for the Algebra and graphs section of Cambridge iGCSE Mathematics (0580). All worksheets include full answers and worked solutions.

C2.1Core

Use letters to express generalised numbers and express basic arithmetic processes algebraically. Substitute numbers for words and letters in formulae. Construct and transform simple formulae and equations

E2.1Extended

Use letters to express generalised numbers and express basic arithmetic processes algebraically. Substitute numbers for words and letters in formulae. Construct and transform formulae and equations

C2.2Core

Manipulate directed numbers. Use brackets and extract common factors. Expand products of algebraic expressions

E2.2Extended

Manipulate directed numbers. Use brackets and extract common factors. Expand products of algebraic expressions. Factorise expressions including quadratics. Complete the square for quadratic expressions

C2.3Core

Manipulate algebraic fractions. Factorise and simplify expressions

E2.3Extended

Manipulate algebraic fractions. Factorise and simplify expressions including algebraic fractions

C2.4Core

Derive and solve simple linear equations in one unknown. Derive and solve simultaneous linear equations in two unknowns

E2.4Extended

Derive and solve linear equations. Derive and solve simultaneous linear equations. Derive and solve simultaneous equations, one linear and one quadratic. Derive and solve quadratic equations by factorising, completing the square and using the quadratic formula. Solve simple exponential equations

C2.5Core

Derive and solve linear inequalities

E2.5Extended

Derive and solve linear inequalities. Derive and solve quadratic inequalities. Represent and interpret inequalities graphically

C2.6Core

Continue a given number sequence. Recognise patterns in sequences, including the term-to-term rule. Find the nth term of a simple linear sequence

E2.6Extended

Continue a given number sequence. Recognise patterns in sequences, including the term-to-term rule. Find and use the nth term of linear and quadratic sequences

E2.7Extended

Understand the concept of a function. Use function notation. Find inverse functions f^(-1)(x). Form composite functions

C2.8Core

Construct tables of values for functions of the form ax + b, ±x² + ax + b. Draw and interpret such graphs. Solve associated equations approximately by graphical methods

E2.8Extended

Construct tables of values and draw graphs for functions of the form ax^n (and simple sums of these), a^x + c, and trigonometric functions. Solve associated equations approximately by graphical methods. Draw and interpret graphs representing exponential growth and decay

C2.9Core

Interpret and use graphs in practical situations including travel graphs and conversion graphs. Draw graphs from given data

E2.9Extended

Interpret and use graphs in practical situations including travel graphs and conversion graphs. Draw graphs from given data. Calculate distance travelled as area under a speed–time graph

E2.10Extended

Estimate gradients of curves by drawing tangents. Understand the idea of a derived function. Use the derivatives of functions of the form ax^n, including f(x) = ax² + bx + c