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Pearson Edexcel International GCSE (9–1) · MATHEMATICS A · Unit

Unit 10

108 practice questions

Topics covered

Practice questions

21–30 of 108

  1. Question 21

    2 marks · Easy

    Simplify the following algebraic fraction as far as possible:

    Answer and see the solution →
  2. Question 22

    2 marks · Easy

    Explain why you need to find a lowest common denominator when adding the following algebraic fractions:

    Answer and see the solution →
  3. Question 23

    3 marks · Easy

    Solve the following equation for :

    (a)

    Write down the first step you would use to start solving the equation.

    [1 mark]
    (b)

    Complete the solution to find the value of .

    [2 marks]
    Answer and see the solution →
  4. Question 24

    3 marks · Easy

    The table gives values of and , and the algebraic fraction for selected values of . Complete the missing entries.

    ab
    2??
    3??
    6??
    Answer and see the solution →
  5. Question 25

    1 mark · Easy

    Write and as a single simplified fraction.

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  6. Question 26

    2 marks · Easy

    Solve the equation .

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  7. Question 27

    2 marks · Normal

    Simplify the following algebraic fraction completely:

    Answer and see the solution →
  8. Question 28

    3 marks · Normal

    Combine the following algebraic fractions as a single simplified fraction:

    Answer and see the solution →
  9. Question 29

    3 marks · Normal

    Explain why it is necessary to clear denominators when solving an equation such as

    and, by following this idea, show the first step of working for this equation.

    Answer and see the solution →
  10. Question 30

    4 marks · Normal

    (a)

    Simplify the following algebraic fraction as much as possible:

    [2 marks]
    (b)

    Simplify the following algebraic fraction as much as possible:

    [2 marks]
    Answer and see the solution →