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Cambridge IGCSE Mathematics practice

exam practice - Understand and apply indices, including positive, zero, negative, and fractional values. For example, calculate values such as 2^6 = 64 and 4^-2 = 1/16. Additionally, utilize the rules of indices to solve expressions like 2^-3 × 2^4, (2^3)^2, and 2^3 ÷ 2^4. - Indices I

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Indices I

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Paper 2Core or Extended Mathematics4 marks

Understanding and applying indices in expressions.

Description

Indices Application

Simplify the following expressions: 1. (4^2)^3 2. 5^0 ÷ 5^-2

  1. a

    Calculate Simplify (4^2)^3.

    Aim for approximately 2 distinct marking points.

    [2]
  2. b

    Calculate Simplify 5^0 ÷ 5^-2.

    Aim for approximately 2 distinct marking points.

    [2]

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  • Topic focus: Indices I.
  • Question style: structured_mathematics.
  • Reasoning demand: reasoning.
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Paper 2 structured question: Indices I

Paper 2Core or Extended Mathematics3 marks

Description

Indices Calculation

Calculate the following expressions using the rules of indices: 1. 3^4 2. 2^-3 × 2^5

  1. a

    Calculate Find the value of 3^4.

    Aim for approximately 1 distinct marking point.

    [1]
  2. b

    Calculate Evaluate 2^-3 × 2^5.

    Aim for approximately 2 distinct marking points.

    [2]