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

Unit 2

105 practice questions

Topics covered

Practice questions

21–30 of 105

  1. Question 21

    1 mark · Easy

    Evaluate \( \sqrt{64} \ ).

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  2. Question 22

    3 marks · Easy

    The formula for the perimeter of a rectangle is .

    (a)

    Substitute and into the formula. Work out the value of .

    [2 marks]
    (b)

    If and , rearrange the formula to find the value of .

    [1 mark]
    Answer and see the solution →
  3. Question 23

    1 mark · Easy

    Write the following using index notation:

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  4. Question 24

    1 mark · Easy

    Evaluate \( 4^0 \ ).

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  5. Question 25

    2 marks · Normal

    Use the rules of indices to simplify the following expression and give your answer as a single power of :

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  6. Question 26

    3 marks · Normal

    Simplify the following algebraic fraction as much as possible:

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  7. Question 27

    4 marks · Normal

    A formula links the area of a rectangle to its length and width :

    (a)

    Substitute and . Work out the area .

    [1 mark]
    (b)

    Rearrange the formula to make the subject.

    [2 marks]
    (c)

    If the area and , find .

    [1 mark]
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  8. Question 28

    3 marks · Normal

    Complete the table for where is directly proportional to .

    n124
    m5
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  9. Question 29

    2 marks · Normal

    Evaluate .

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  10. Question 30

    4 marks · Normal

    Given that is inversely proportional to .

    (a)

    If when , write a formula for in terms of .

    [2 marks]
    (b)

    Calculate the value of when .

    [1 mark]
    (c)

    Find the value of when .

    [1 mark]
    Answer and see the solution →