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

Unit 4

104 practice questions

Topics covered

Practice questions

21–30 of 37 · Easy

  1. Question 21

    2 marks · Easy

    Calculate the size of angle in a right-angled triangle where the side opposite is 7 m and the hypotenuse is 14 m. Give your answer correct to 3 significant figures.

    Answer and see the solution →
  2. Question 22

    3 marks · Easy

    PQRS is a rectangle. PQ = 6 cm and QR = 8 cm.

    (a)

    Calculate the length of the diagonal PS.

    [2 marks]
    (b)

    Work out the perimeter of rectangle PQRS.

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

    1 mark · Easy

    Explain why the diagonals of a rectangle are always equal in length.

    Answer and see the solution →
  4. Question 24

    2 marks · Easy

    A triangle has sides of length 3 cm, 4 cm, and 5 cm. Work out the area of the triangle.

    Answer and see the solution →
  5. Question 25

    2 marks · Easy

    The numbers of pens owned by 7 students are listed below:

    3, 6, 6, 2, 8, 5, 4

    Work out the median number of pens owned.

    Answer and see the solution →
  6. Question 26

    1 mark · Easy

    Write down the range of the following data:

    5, 12, 8, 3, 10

    Answer and check →
  7. Question 27

    2 marks · Easy

    The table shows the number of books read by 8 friends in a month.

    FriendBooks
    A3
    B5
    C4
    D7
    E6
    F4
    G3
    H5

    Work out the mode number of books read.

    Answer and see the solution →
  8. Question 28

    1 mark · Easy

    A coin is tossed once.

    Write down the probability of getting a tail.

    Answer and see the solution →
  9. Question 29

    3 marks · Easy

    The marks out of 10 scored by 5 students in a quiz are:

    5, 7, 8, 8, 10

    For this data:

    (a)

    Write down the mean.

    [1 mark]
    (b)

    Write down the range.

    [1 mark]
    (c)

    Write down the mode.

    [1 mark]
    Answer and see the solution →
  10. Question 30

    1 mark · Easy

    In a group, everyone has either 1, 2 or 3 pets. The mean number of pets per person is 2.

    Explain, in one sentence, what this tells you about the group.

    Answer and see the solution →