SubjectCover

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

Shape and Space 2

18 practice questions

Start practising (3 questions)

Practice questions

1–3 of 3 · Hard

  1. Question 1

    4 marks · Hard

    In the diagram below, ABCD is a cyclic quadrilateral inside a circle with centre O.

    Geometry diagram with points O, A, B, C, DOABCD
    Cyclic quadrilateral with angles marked.

    Angle BAD = 82° and angle BCD = 71°.

    Calculate the size of angle ABC, giving a reason for each step of your working.

    Answer and see the solution →

  2. Question 2

    4 marks · Hard

    The diagram below shows a circle with centre O. The point M is the midpoint of chord AB. AB = 14 cm and OM = 6 cm.

    Geometry diagram with points O, A, B, MOABM
    Circle with OM perpendicular to chord AB.

    Work out the radius of the circle.

    Answer and see the solution →

  3. Question 3

    5 marks · Hard

    The diagram below shows a tangent to the circle with centre O. P is the point of contact, and the radius OP is 8 cm. The tangent TP meets a straight line passing through the centre O at point T, such that angle OTP = 35°.

    Geometry diagram with points O, P, TOPT
    Circle with tangent, radius, and angle marked.
    (a)

    State the relationship between the tangent and the radius at point P.

    [1 mark]
    (b)

    Calculate the length TP. Give your answer to 3 significant figures.

    [4 marks]
    Answer and see the solution →