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

Unit 3

104 practice questions

Start practising (104 questions)

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Practice questions

71–80 of 104

  1. Question 71

    3 marks · Hard

    A helicopter hovers above a straight road. From a point 120 m along the road from the point directly below the helicopter, the angle of elevation to the helicopter is 28°.

    Calculate the height of the helicopter above the ground. Give your answer to the nearest metre.

    Answer and see the solution →

  2. Question 72

    4 marks · Hard

    Explain, using step-by-step reasoning and a diagram, how you would use Pythagoras’ Theorem to check whether a triangle with sides 10 cm, 16 cm, and 18 cm is a right-angled triangle.

    Answer and see the solution →

  3. Question 73

    2 marks · Easy

    The table shows the scores obtained by students in a quick science quiz.

    Score (x)Frequency (f)
    13
    26
    37
    44
    (a)

    Work out the mean score.

    [2 marks]
    Answer and see the solution →

  4. Question 74

    2 marks · Easy

    The heights, in metres, of a random sample of 12 plants are grouped as shown.

    Heights of plants
    Height (h, m)Frequency
    0.5 ≤ h < 1.02
    1.0 ≤ h < 1.56
    1.5 ≤ h < 2.04
    (a)

    Write down the modal class.

    [1 mark]
    (b)

    What is the group containing the median height?

    [1 mark]
    Answer and see the solution →

  5. Question 75

    2 marks · Easy

    The incomplete frequency table shows the number of books read by students in a month.

    Number of books (x)Frequency (f)
    04
    19
    2?
    37
    (a)

    If 25 students were surveyed, work out the missing frequency.

    [1 mark]
    (b)

    Write down the mode.

    [1 mark]
    Answer and see the solution →

  6. Question 76

    2 marks · Easy

    The table shows the number of books read by each of 15 students in a month.

    Number of books read (x)Frequency (f)
    01
    15
    24
    33
    42
    (a)

    Work out the mean number of books read.

    [2 marks]
    Answer and see the solution →

  7. Question 77

    3 marks · Easy

    A group of 50 people were asked how many cups of tea they drink in a day. The information is recorded in the grouped frequency table below.

    Cups of tea per dayFrequency
    0–15
    2–318
    4–520
    6–77
    (a)

    Estimate the mean number of cups of tea per day. Give your answer to 2 decimal places.

    [3 marks]
    Answer and see the solution →

  8. Question 78

    2 marks · Easy

    A coin is tossed and a 6-sided die is rolled. List all the possible outcomes of these two events.

    Answer and see the solution →

  9. Question 79

    3 marks · Normal

    A botanist records the heights (h, in cm) of a random sample of ferns as shown in the grouped frequency table below:

    Heights of ferns
    Height range (cm)Frequency
    10 ≤ h < 154
    15 ≤ h < 206
    20 ≤ h < 2511
    25 ≤ h < 305
    30 ≤ h < 352

    Estimate the mean height of the ferns. Show your working.

    Answer and see the solution →

  10. Question 80

    4 marks · Normal

    The frequency table shows the weights of 30 small packages.

    (a)
    Weights of Packages
    Weight (w, g)Frequency
    20 ≤ w < 308
    30 ≤ w < 4015
    40 ≤ w < 507
    (i)

    Write down the modal class.

    [1 mark]
    (ii)

    Calculate an estimate of the mean weight of these packages.

    [2 marks]
    (iii)

    Find the class where the median weight lies.

    [1 mark]
    Answer and see the solution →