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

Shape and Space 1

19 practice questions

Practice questions

1–8 of 8 · Normal

  1. Question 1

    1 mark · Normal

    Write down the name of the 2D shape that has four equal sides and four right angles.

    Answer and see the solution →
  2. Question 2

    2 marks · Normal

    Draw a triangle which has exactly one line of symmetry. Name this type of triangle.

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  3. Question 3

    2 marks · Normal

    Explain why a rectangle is not the same as a square, even though both have four sides and four right angles.

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  4. Question 4

    3 marks · Normal

    Complete the table. For each figure, write down the number of sides and the number of lines of symmetry.

    Shapes and their symmetries
    ShapeNumber of sidesLines of symmetry
    Equilateral triangle
    Regular octagon
    Rectangle
    Answer and see the solution →
  5. Question 5

    4 marks · Normal

    The diagram below shows a quadrilateral KLMN with vertices at K(2, 6), L(6, 6), M(7, 2), and N(1, 2).

    Geometry diagram with points K, L, M, NKLMN
    Quadrilateral KLMN
    (a)

    Name the type of quadrilateral shown.

    [1 mark]
    (b)

    Calculate the length of side KL.

    [1 mark]
    (c)

    Write down the order of rotational symmetry of the quadrilateral.

    [1 mark]
    (d)

    How many lines of symmetry does the quadrilateral have?

    [1 mark]
    Answer and see the solution →
  6. Question 6

    2 marks · Normal

    Write down the names of two different 2D shapes that have exactly one line of symmetry.

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  7. Question 7

    3 marks · Normal

    Work out the value of angle y in the diagram below. Show all your working.

    Geometry diagram with points A, B, Cy°ABC
    Angle properties in a triangle

    Given: AB = 6 cm, AC = 7 cm, BC = 5 cm, angle BAC = y°.

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  8. Question 8

    3 marks · Normal

    The following table shows the order of rotational symmetry for several 2D shapes. Complete the missing values.

    Order of rotational symmetry for shapes
    ShapeOrder of rotational symmetry
    Equilateral triangle
    Rectangle
    Rhombus
    Regular pentagon
    Parallelogram
    Answer and see the solution →