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

Unit 5

104 practice questions

Topics covered

Practice questions

21–30 of 104

  1. Question 21

    1 mark · Easy

    Factorise the following quadratic expression:

    Answer and see the solution →
  2. Question 22

    1 mark · Easy

    Which of the following is equivalent to ?

    1. A.x^2 + 13x - 36
    2. B.x^2 - 5x + 36
    3. C.x^2 - 36x + 4
    4. D.x^2 - 5x - 36
    Answer and see the solution →
  3. Question 23

    2 marks · Easy

    Solve the quadratic equation .

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  4. Question 24

    1 mark · Easy

    Rearrange the formula to make v the subject:

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  5. Question 25

    2 marks · Easy

    Solve the simultaneous equations: \( x - y = 2 \ )

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  6. Question 26

    3 marks · Normal

    Expand and simplify the expression:

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  7. Question 27

    4 marks · Normal

    Solve the quadratic equation:

    Show all working.

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  8. Question 28

    4 marks · Normal

    A rectangle has length and width .

    Geometry diagram with points A, B, C, D, P, Q, R, SABCD
    Rectangle with a square cut out

    A square of side cm is cut out of it.

    (a)

    Write, in simplest form, an expression for the area of the original rectangle.

    [1 mark]
    (b)

    Write an expression for the shaded area after removing the square.

    [1 mark]
    (c)

    If the shaded area is , find the value of .

    [2 marks]
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  9. Question 29

    2 marks · Normal

    Factorise fully:

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  10. Question 30

    2 marks · Normal

    Write down the solution set for the inequality .

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