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Cambridge IGCSE Mathematics practice

exam practice - 1. Simplify algebraic expressions by combining like terms, ensuring the result is in its simplest form, for example, transforming 2a + 3ab - 1 + 5a - 9ab + 4 into 7a - 6ab + 3. 2. Expand products of algebraic expressions, such as 3x(2x - 4y) and (3x + y)(x - 4y), including cases with more than two brackets like (x - 2)(x + 3)(2x + 1). 3. Factor expressions by taking out common factors, fully factorising them, for instance, converting 9x + 15xy into 3x(3x + 5y). 4. Factor expressions of specific forms, including: • ax + bx + kay + kby • ax - by • a + 2ab + b • ax + bx + c • ax + bx + cx. 5. Complete the square for expressions structured as ax² + bx + c. - Algebraic manipulation

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At a glance

2

Paper

4

Marks

Topic

Algebraic manipulation

Exam-style question

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Paper 2Core or Extended Mathematics4 marks

Simplify and factor algebraic expressions.

Description

Expression Simplification and Factoring

Given the expression: 5a + 7ab - 3 + 2a - 9ab + 8.

  1. a

    Calculate Simplify the expression by combining like terms.

    Aim for approximately 2 distinct marking points.

    [2]
  2. b

    Calculate Factorise the expression 9x + 15xy completely.

    Aim for approximately 2 distinct marking points.

    [2]

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  • Topic focus: Algebraic manipulation.
  • Question style: structured_mathematics.
  • Reasoning demand: reasoning.
  • Check the operation, notation, units, and final answer form against the question before moving on.

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Paper 2 structured question: Algebraic manipulation

Paper 2Core or Extended Mathematics3 marks

Description

Expanding Products of Expressions

Expand and simplify the expression: (2x + 3)(x - 4).

  1. a

    Calculate Expand the brackets and simplify the expression.

    Aim for approximately 3 distinct marking points.

    [3]