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

Unit 3

104 practice questions

Topics covered

Practice questions

11–20 of 36 · Easy

  1. Question 11

    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 →
  2. Question 12

    1 mark · Easy

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

    Answer and see the solution →
  3. Question 13

    1 mark · Easy

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

    Answer and check →
  4. Question 14

    1 mark · Easy

    Factorise x^2 - 16.

    Answer and see the solution →
  5. Question 15

    1 mark · Easy

    On a distance–time graph, what does a horizontal line represent about the motion of an object?

    Answer and see the solution →
  6. Question 16

    2 marks · Easy

    A walker covers 8 km in 2 hours at a constant speed. What is her speed in km/h?

    Answer and see the solution →
  7. Question 17

    3 marks · Easy

    (a)

    The distance–time graph shows a straight line from (0, 0) to (2, 10). What is the speed in km/h?

    [2 marks]
    (b)

    What does the straight line indicate about the movement?

    [1 mark]
    Answer and see the solution →
  8. Question 18

    1 mark · Easy

    Which feature in a distance–time graph shows the object is returning towards its starting point?

    1. A.A horizontal line
    2. B.A straight line sloping upwards
    3. C.A line sloping downwards
    4. D.A curved line
    Answer and check →
  9. Question 19

    2 marks · Easy

    A car is stationary for 30 minutes and then travels 12 km in 40 minutes at a constant speed. What is the speed of the car in km/h?

    Answer and see the solution →
  10. Question 20

    3 marks · Easy

    A bus follows this journey:

    StageTime (minutes)Distance from depot (km)
    Start00
    A2016
    B4032
    (a)

    Calculate the bus's speed between start and A.

    [1 mark]
    (b)

    Calculate the speed between A and B.

    [1 mark]
    (c)

    State whether the bus changed speed, and how you know.

    [1 mark]
    Answer and see the solution →