logo

Cambridge IGCSE Mathematics practice

exam 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

Try the question first, then check the answer and practise the same topic again.

At a glance

2

Paper

4

Marks

Topic

Equations

Exam-style question

Try this first

Paper 2Core or Extended Mathematics4 marks

Forming and solving equations

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]

0 of 2 parts answered

Answer every part before opening the mark scheme.

Maths method check

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

Common mistake

No common mistake is linked to this question yet.

Related flashcards

Flashcard 1 of 6

Press Space to flip, arrows to move

Related practice questions

Question 1 of 5

Choose an answer, get feedback, then move sideways through the set.

0 of 4 attempted

Paper 2 structured question: Equations

Paper 2Core or Extended Mathematics6 marks

Description

Simultaneous Equations

Solve the simultaneous equations: 1) y = 2x + 3 2) xy = 10

  1. a

    Write down an expression for y from the first equation.

    Aim for approximately 1 distinct marking point.

    [1]
  2. b

    Calculate the values of x and y that satisfy both equations.

    Aim for approximately 5 distinct marking points.

    [5]