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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]

In a league, teams gain 4 points for each win, 2 points for each draw and bonus points.
A team has x wins, y draws and b bonus points.
Write down an expression, in terms of x, y and b, for the total number of points the team has.

Question 2

[Maximum number: 2]

Y=3t2+2mY=3t^2+2m

Find the value of Y when t=6 and m=-3.

Y=

Question 3

[Maximum number: 2]

Apples cost $a\$ a per kilogram and bananas cost $b\$ b per kilogram. Lee buys 6 kg of apples and 8 kg of bananas.
Write down an expression, in terms of a and b, for the total cost, in dollars, of the apples and the bananas.

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