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

Unit 4

104 practice questions

Topics covered

Practice questions

11–20 of 37 · Easy

  1. Question 11

    2 marks · Easy

    Solve the equation .

    Answer and see the solution →
  2. Question 12

    1 mark · Easy

    Simplify the expression: .

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  3. Question 13

    3 marks · Easy

    The equation of a straight line is given by .

    (a)

    Write down the gradient of the line.

    [1 mark]
    (b)

    Write down the y-intercept of the line.

    [1 mark]
    (c)

    Find the value of when .

    [1 mark]
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  4. Question 14

    4 marks · Easy

    The table below shows some values for the quadratic equation .

    (a)
    Complete the table for \( y = x^2 + 2x + 1 \)
    x-2-1012
    y
    [2 marks]
    (b)

    Write down the coordinates of the turning point of the curve.

    [2 marks]
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  5. Question 15

    1 mark · Easy

    Write down the general form of a quadratic equation.

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  6. Question 16

    2 marks · Easy

    The graph below shows the height, y (in metres), of a skier on a ramp as a function of time, t (in seconds).

    line graph of Height, y (m) against Time, t (s)012345-101234567Time, t (s)Height, y (m)
    Graph: height of skier versus time
    Answer and see the solution →
  7. Question 17

    1 mark · Easy

    Which of the following equations represents a quadratic graph?

    1. A.y = 3x + 2
    2. B.y = 7 - 2x
    3. C.y = x^2 + 5x - 4
    4. D.y = 4/x
    Answer and check →
  8. Question 18

    2 marks · Easy

    In the right-angled triangle shown, one side is 12 cm long and the other side (adjacent to the right angle) is 5 cm long. Calculate the length of the hypotenuse.

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  9. Question 19

    1 mark · Easy

    State the sine ratio in a right-angled triangle in terms of the sides.

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  10. Question 20

    2 marks · Easy

    A right-angled triangle has a hypotenuse of 15 cm. One of the other sides is 9 cm. Work out the length of the remaining side.

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