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

Shape and Space 2

18 practice questions

Practice questions

1–10 of 18

  1. Question 1

    1 mark · Easy

    Write down the name given to a straight line passing through the centre of a circle and touching the circumference at both ends.

    Answer and see the solution →
  2. Question 2

    2 marks · Easy

    A right-angled triangle has short sides of 9 cm and 12 cm. Work out the length of the hypotenuse. Give your answer to 1 decimal place.

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  3. Question 3

    1 mark · Easy

    Name the part of a circle that is a straight line connecting any two points on the circumference but does NOT necessarily pass through the centre.

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  4. Question 4

    2 marks · Easy

    Find the value of in the following triangle.

    Geometry diagram with points A, B, CABC
    Right-angled triangle with sides labelled.
    Answer and see the solution →
  5. Question 5

    1 mark · Easy

    In any triangle, what is the sum of the interior angles?

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  6. Question 6

    2 marks · Easy

    Look at the circle below. O is the centre, and AB is a chord. OM is perpendicular to AB. AB = 10 cm. OM = 4 cm.

    Geometry diagram with points O, A, B, MOABM
    Circle with centre O, chord AB, midpoint M, and perpendicular OM.
    (a)

    Write down the length of AM.

    [1 mark]
    (b)

    Calculate the radius of the circle to 1 decimal place.

    [1 mark]
    Answer and see the solution →
  7. Question 7

    1 mark · Easy

    What do we call a line that touches a circle at exactly one point without cutting through it?

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  8. Question 8

    2 marks · Normal

    A right-angled triangle has shorter sides of lengths 7 cm and 24 cm. Calculate the length of the hypotenuse.

    (a)
    [2 marks]
    Answer and see the solution →
  9. Question 9

    2 marks · Normal

    Find the length of the side marked x in this right-angled triangle.

    Geometry diagram with points A, B, CABC
    (a)
    [2 marks]
    Answer and see the solution →
  10. Question 10

    1 mark · Normal

    Write down the name given to a straight line that touches a circle at only one point.

    (a)
    [1 mark]
    Answer and see the solution →