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

Number 6

18 practice questions

Practice questions

11–18 of 18

  1. Question 11

    2 marks · Normal

    State whether the following statement is true or false and justify your answer: "The reciprocal of is ."

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  2. Question 12

    2 marks · Normal

    Evaluate .

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  3. Question 13

    1 mark · Normal

    Write as a fraction.

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  4. Question 14

    3 marks · Normal

    The cost C of hiring a bike is directly proportional to the number of hours h used. A student pays $12 for 3 hours. Complete the table below and write the formula connecting C and h.

    Hire cost vs hours
    h (hours)2356
    C ($)12
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  5. Question 15

    1 mark · Normal

    Simplify .

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  6. Question 16

    4 marks · Hard

    A 1.8 metre metal rod is to be cut into pieces, each measuring metres. How many full pieces can be cut from the rod, and what length of the rod will be left over? Give your answer as a mixed number where appropriate.

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  7. Question 17

    4 marks · Hard

    The number is such that .

    (a)

    Express as a single number.

    [1 mark]
    (b)

    Simplify as a single fraction.

    [3 marks]
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  8. Question 18

    4 marks · Hard

    A car travels s kilometres in t hours. It is known that s is directly proportional to t, and that when t = 2.5, s = 165.

    a) Write down the formula connecting s and t.

    b) What is the value of the constant of proportionality?

    c) Calculate the value of s when t = 6.4.

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