SubjectCover

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

Unit 3

104 practice questions

Start practising (104 questions)

Topics covered

Practice questions

101–104 of 104

  1. Question 101

    4 marks · Normal

    (a) The probability of picking a red bead from bag A is 0.4. The probability of picking a red bead from bag B is 0.6. Each bag contains only red and blue beads. A bead is picked from each bag. What is the probability both beads are red?

    (b) If the mean of four numbers is 12.5, what is their total?

    (c) Write down all the factors of 30.

    (a)

    Probability both beads are red.

    [1 mark]
    (b)

    If the mean of four numbers is 12.5, what is their total?

    [1 mark]
    (c)

    List all the factors of 30.

    [2 marks]
    Answer and see the solution →

  2. Question 102

    7 marks · Hard

    A factory buys two lengths of cable of 168 m and 252 m. They are to be cut into equal-length pieces with no cable left over.

    (a)

    Express 168 and 252 as products of their prime factors.

    [2 marks]
    (b)

    Find the greatest possible length of each piece.

    [2 marks]
    (c)

    The total number of pieces obtained from both cables is used to buy identical boxes. Each box costs £x, and the total cost is £30 more than the value of x squared. Write down an equation in x, and solve it.

    [3 marks]
    Answer and see the solution →

  3. Question 103

    6 marks · Hard

    Freya measured the heights, in cm, of 60 sunflowers in her garden. The results are grouped in the table below:

    Sunflower heights
    Height (cm)Frequency
    60 ≤ h < 808
    80 ≤ h < 10015
    100 ≤ h < 12022
    120 ≤ h < 14012
    140 ≤ h < 1603
    (a)

    Estimate the mean height of the sunflowers.

    [3 marks]
    (b)

    State the group that contains the median height.

    [1 mark]
    (c)

    The group with the highest frequency is selected for a science project. The average speed at which these sunflowers grew from 0 cm to the lower bound of the group is 2 cm per day. Calculate how many days it took for them to reach the lower bound height.

    [2 marks]
    Answer and see the solution →

  4. Question 104

    7 marks · Hard

    The equation of a curve is y = x^2 − 6x + 8. The straight line y = 2x − 4 is also drawn.

    (a)

    Solve the equation x^2 − 6x + 8 = 2x − 4 algebraically.

    [3 marks]
    (b)

    Write your solutions as coordinates of the points of intersection between the curve and the line.

    [2 marks]
    (c)

    On the same axes, sketch the curve and the line, clearly showing the intersection points.

    [2 marks]
    Answer and see the solution →