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CAIE IGCSE Mathematics Core C2.1 Introduction to Algebra Questions

Practise writing expressions from everyday contexts and substituting values into formulae with powers, negatives and units.

Syllabus
2028–2030
Course
Mathematics 0580
Level
Core

Exam points

  • write expressions for changing totals, costs or distances using the given letters
  • substitute positive or negative values into formulae and calculate the result

Covered syllabus points

C2.1.1 Know that letters can be used to represent generalised numbers.C2.1.2 Substitute numbers into expressions and formulas.

Question 1

[Maximum number: 2]

Miguel works in an office.

White paper costs w cents per sheet and pink paper costs p cents per sheet.
Miguel uses 56 sheets of white paper and 21 sheets of pink paper.
Write down an expression, in terms of w and p, for the total cost, in cents, of the paper he uses.
cents

Question 2

[Maximum number: 3]

Question (a)

(a)

P=3 a+5
Find the value of P when a=2.

P=

[ 1 ]

Question (b)

(b)

A boy walks for 35 minutes at x metres per minute.

He then runs for t minutes at 160 metres per minute.
Write down an expression, in terms of x and t, for the total distance, in metres, the boy travels.
m
[2]

[ 2 ]

Question 3

[Maximum number: 2]

Roberto and his family fly from London to Los Angeles on a holiday.

Roberto hires a car.

The cost of hiring a car is $ 56 per day, plus a fixed cost of $ 436.

Write down a formula for the cost, C dollars, of hiring a car for d days.

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