CAIE IGCSE Mathematics Extended Writing Algebraic Expressions

Practise representing unknown or changing quantities with letters and writing expressions for scaled, increased, decreased or shared amounts.

Syllabus
2028–2030
Objective
E2.1.1
Level
Extended

Exam points

  • translate a multiplicative relationship into an expression such as a constant multiple of x
  • add or subtract a stated change from an algebraic quantity while preserving its original structure
  • represent equal sharing or unit size by dividing a fixed total by the variable number of groups

E2.1.1 Know that letters can be used to represent generalised numbers. question 1

[Maximum number: 3]

Question (a)

(a)

Another club sells season tickets for individuals and for families. In 2018, the number of season tickets sold is in the ratio family: individual =2: 7.

[ 3 ]

Question (i)

(i)

The number of family season tickets sold is x.

Write an expression, in terms of x, for the number of individual season tickets sold.

[ 1 ]

Question (ii)

(ii)
Figure for Question (ii) — CAIE IGCSE Mathematics Extended

In 2019, the number of family season tickets sold increases by 12 and the number of individual season tickets sold decreases by 26.
Complete the table by writing expressions, in terms of x, for the number of tickets sold in 2019.

[ 2 ]
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