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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 47 · Normal

  1. Question 11

    3 marks · Normal

    Solve the equation:

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  2. Question 12

    2 marks · Normal

    Factorise completely:

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  3. Question 13

    2 marks · Normal

    Expand the following expression:

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  4. Question 14

    3 marks · Normal

    Solve the following linear equation. Give your answer in simplest form:

    (a)
    [3 marks]
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  5. Question 15

    2 marks · Normal

    Show, by expanding , how the general quadratic is formed. Write the resulting expression.

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  6. Question 16

    2 marks · Normal

    Complete the following table for :

    (a)
    xy
    -1
    0
    1
    2
    [2 marks]
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  7. Question 17

    4 marks · Normal

    The distance–time graph below shows the journey of Sarah walking from home to the park and then returning home.

    line graph of Distance from home (km) against Time (hours)00.511.522.530123456Time (hours)Distance from home (km)
    Sarah's journey

    a) Find Sarah's speed (in km/h) as she walks from home to the park.

    b) For how long did Sarah rest at the park?

    c) Find Sarah's speed (in km/h) as she walked home from the park.

    (a)
    [1 mark]
    (b)
    [1 mark]
    (c)
    [2 marks]
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  8. Question 18

    2 marks · Normal

    A car travels at a constant speed. The distance–time graph for its journey shows a straight line from (0, 0) to (3, 180).

    a) Calculate the speed of the car in km/h.

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  9. Question 19

    3 marks · Normal

    The table below shows the times taken by two athletes, Anna and Ben, to complete each stage of a race.

    Athletes' stage times
    StageAnna (min)Ben (min)
    Swim1215
    Rest33
    Cycle2421
    Rest54
    Run1416

    a) Who spent less total time racing (excluding rests)?

    b) Calculate Anna's average stage time (excluding rests).

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  10. Question 20

    3 marks · Normal

    A train travels at a constant speed for 45 minutes and covers a distance of 54 km.

    Calculate the speed of the train in km/h.

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