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Cambridge IGCSE Mathematics practice

exam practice - Understand and apply the concept of indices, including positive, zero, and negative values. Be able to simplify expressions using the rules of indices, such as simplifying 3^2 • (5x) • 12a^5 ÷ 3a^-2 • 6x^7y^4 × 5x^-5y. Knowledge of logarithms is not necessary. - Indices II

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2

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2

Marks

Topic

Indices II

Exam-style question

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Paper 2Core or Extended Mathematics2 marks

Working with negative indices.

Description

Evaluate the expression

Evaluate the expression: 2^3 ÷ 2^(-2) • 4^(-1).

  1. a

    Calculate the value of the expression.

    Aim for approximately 2 distinct marking points.

    [2]

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Maths method check

  • Topic focus: Indices II.
  • 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: Indices II

Paper 2Core or Extended Mathematics3 marks

Description

Simplify the expression

Simplify the following expression: 3^2 • (5x) • 12a^5 ÷ 3a^-2 • 6x^7y^4 × 5x^-5y.

  1. a

    Calculate the simplified form of the expression.

    Aim for approximately 3 distinct marking points.

    [3]