CAIE IGCSE Mathematics Core Linear and Simultaneous Equations

Cambridge IGCSE Mathematics 0580 syllabus for exams in 2028, 2029 and 20302028–2030

Practise forming and solving linear or simultaneous equations and rearranging formulae from numerical, geometric and financial contexts.

How this is tested

apply inverse operations to isolate an unknown while preserving equality on both sides
translate a written relationship into an equation before solving and checking the context
eliminate or substitute one variable in simultaneous equations and solve for both values

[Maximum number: 2]

At a cinema, an adult ticket costs $ a and a child ticket costs $ c.

(a)

Farah buys 3 adult tickets and 4 child tickets for $ 38.50.

Complete the equation.

3 a+4 c=\ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots .

[ 1 ]

(b)

Hana buys 6 adult tickets and 5 child tickets for $ 65.00.

Write down another equation in terms of a and c.

[ 1 ]