CAIE IGCSE Mathematics Core C2.5.1 Construct Expressions Equations and Formulas Questions

Practise Core CAIE IGCSE Mathematics by turning prices, perimeters and paired quantities into expressions, equations and simultaneous equations.

Exam points

Translate worded relationships, perimeter information and pricing data into a correct linear equation or expression.
Construct two linear simultaneous equations from paired quantities or costs, keeping each variable and coefficient tied to the given context.

[Maximum number: 5]

Nasser has x marbles.

Selina has 15 more marbles than Nasser.
Hanif has 3 times as many marbles as Selina.
In total they have 150 marbles.
Find the value of x.

18
B1 for x+15 or $3\times\text{their }(x+15)$ oe
M1 for $x+\text{their }(x+15)+\text{their }3(x+15)=150$ or better
M1 for 5x+60=150 or better, or their linear equation simplified to ax+b=150
M1 for solving their ax+b=c to $x=\frac{150-b}{a}$

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CAIE IGCSE Mathematics Core C2.5.1 Construct Expressions Equations and Formulas Questions question 1