SubjectCover

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

Unit 1

108 practice questions

Topics covered

Practice questions

71–80 of 108

  1. Question 71

    4 marks · Hard

    A regular polygon has an interior angle that is 165°. Calculate:

    (a)

    The number of sides of the polygon.

    [3 marks]
    (b)

    The sum of the interior angles of the polygon.

    [1 mark]
    Answer and see the solution →
  2. Question 72

    3 marks · Hard

    A kite is a quadrilateral with two distinct pairs of adjacent sides equal. List all the lines of symmetry and describe the order of rotational symmetry for a typical kite.

    Answer and see the solution →
  3. Question 73

    4 marks · Hard

    Triangle ABC has vertices at A(2,3), B(6,3), and C(2,8).

    (a)

    Calculate the lengths of each side of the triangle.

    [2 marks]
    (b)

    Determine the type of triangle (by its sides).

    [2 marks]
    Answer and see the solution →
  4. Question 74

    1 mark · Easy

    Write down the mathematical term for an object belonging to a set.

    Answer and see the solution →
  5. Question 75

    1 mark · Easy

    Write the following using set notation: Set Q contains the numbers 8, 10 and 14.

    Answer and see the solution →
  6. Question 76

    2 marks · Easy

    Let X = \{7, 12, 19\} and Y = \{12, 14, 19\}. Write down:

    (a)

    X \cap Y

    [1 mark]
    (b)

    X \cup Y

    [1 mark]
    Answer and see the solution →
  7. Question 77

    3 marks · Easy

    The Venn diagram below shows the sets P and Q.

    Geometry diagram with points A, B
    Venn diagram for sets P and Q in universal set S
    (a)

    What is the name given to the area shared by sets P and Q?

    [1 mark]
    (b)

    Shade the area representing P' in the diagram above.

    [2 marks]
    Answer and see the solution →
  8. Question 78

    2 marks · Easy

    Write down the meaning of the symbol '' in set notation.

    Answer and see the solution →
  9. Question 79

    2 marks · Easy

    A set T contains the colours: red, blue, green, yellow. One of the colours is removed at random. Write down the set of colours remaining if 'blue' is removed.

    Answer and see the solution →
  10. Question 80

    2 marks · Easy

    If the universal set U = \{1, 2, 3, 4, 5\} and A = \{2, 3\}, write down the elements of A'.

    Answer and see the solution →