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Cambridge IGCSE Mathematics practice

MCQ practice - 1 Create expressions, equations, and formulas, such as expressing the product of two consecutive even numbers, including the formation of simultaneous equations. 2 Solve linear equations with one variable, for example: 3x + 4 = 10 and 5 - 2x = 3(x + 7). 3 Solve fractional equations that include numerical and algebraic denominators, such as x/2 = 4 and (2x + 1)/3 + x/2 = 1. 4 Solve simultaneous linear equations with two variables. 5 Solve simultaneous equations that include one linear and one non-linear equation, with powers no greater than two. 6 Solve quadratic equations through factorization, completing the square, and using the quadratic formula, with the expectation of providing solutions in surd form. The quadratic formula is provided in the List of formulas. 7 Rearrange formulas to make a specific variable the subject, including cases where the subject appears multiple times or involves powers or roots. - Equations

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At a glance

MCQ

Type

cambridge_mcq

Style

Topic

Equations

Exam-style question

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Which expression correctly represents the product of two consecutive even numbers?.

  1. A.(2n)(2n + 1)
  2. B.(2n)(2n + 2)
  3. C.(n)(n + 2)
  4. D.(2n + 1)(2n + 3)

Answer and explanation

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  • Topic focus: Equations.
  • Question style: cambridge_mcq.
  • 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: Equations

Paper 2Core or Extended Mathematics4 marks

Description

Consecutive Even Numbers

Express the product of two consecutive even numbers algebraically and solve for the numbers if their product is 48.

  1. a

    Write down an expression for the product of two consecutive even numbers.

    Aim for approximately 1 distinct marking point.

    [1]
  2. b

    Calculate the two consecutive even numbers if their product is 48.

    Aim for approximately 3 distinct marking points.

    [3]