SubjectCover

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

Number 10

19 practice questions

Practice questions

1–7 of 7 · Easy

  1. Question 1

    1 mark · Easy

    Write in its simplest form.

    Answer and see the solution →
  2. Question 2

    2 marks · Easy

    Simplify the expression . Give your answer as a surd in its simplest form.

    Answer and see the solution →
  3. Question 3

    2 marks · Easy

    Explain why is an irrational number.

    Answer and see the solution →
  4. Question 4

    3 marks · Easy

    Let and .

    Use a Venn diagram to answer the following:

    (a)

    List the elements in (the intersection of and ).

    [1 mark]
    (b)

    List the elements in (the union of and ).

    [1 mark]
    (c)

    What is ?

    [1 mark]
    Answer and see the solution →
  5. Question 5

    3 marks · Easy

    The table below shows three different numbers. Complete the table by stating for each number whether it is rational or irrational, and expressing any rational number as a fraction in its simplest form.

    Classifying numbers as rational or irrational
    NumberRational or Irrational?If rational, write as a fraction
    0.42
    0.151515...
    Answer and see the solution →
  6. Question 6

    1 mark · Easy

    Is the number rational or irrational?

    Answer and see the solution →
  7. Question 7

    2 marks · Easy

    Simplify , giving your answer in the form , where and are integers and is as small as possible.

    Answer and see the solution →