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

Unit 3

104 practice questions

Topics covered

Practice questions

21–30 of 104

  1. Question 21

    2 marks · Easy

    Factorise completely: 8x^2 - 20x

    Answer and see the solution →
  2. Question 22

    1 mark · Easy

    Solve the equation: x + 11 = 17

    Answer and check →
  3. Question 23

    3 marks · Easy

    The sum of two numbers is 18.

    (a)

    Let the numbers be x and y. Write an equation for their sum.

    [1 mark]
    (b)

    If their difference is 4, write a second equation for x and y.

    [1 mark]
    (c)

    Solve the equations to find the values of x and y.

    [1 mark]
    Answer and see the solution →
  4. Question 24

    1 mark · Easy

    Expand the bracket: (x + 6)(x - 2)

    Answer and see the solution →
  5. Question 25

    1 mark · Easy

    If 2x = 14, what is the value of x?

    Answer and check →
  6. Question 26

    1 mark · Easy

    Factorise x^2 - 16.

    Answer and see the solution →
  7. Question 27

    4 marks · Normal

    Expand and then fully factorise the following expression:

    (a)

    [2 marks]
    (b)

    Now, factorise completely:

    [2 marks]
    Answer and see the solution →
  8. Question 28

    2 marks · Normal

    Write down an algebraic identity involving squares and simplify it to show it is always true.

    Answer and see the solution →
  9. Question 29

    3 marks · Normal

    Solve the equation:

    Answer and see the solution →
  10. Question 30

    2 marks · Normal

    Factorise completely:

    Answer and see the solution →