Pearson Edexcel International GCSE (9–1) · MATHEMATICS A · Chapter
Shape and Space 1
19 practice questions
Practice questions
1–4 of 4 · Hard
Question 1
4 marks · Hard
Answer and see the solution →The diagram shows a quadrilateral PQRS with vertices at P(1,2), Q(5,2), R(4,6), and S(0,6).
Quadrilateral PQRS in the coordinate plane (a)[1 mark]Calculate the length of side PQ.
(b)[3 marks]Show that PQRS is a parallelogram.
Question 2
4 marks · Hard
Answer and see the solution →A regular polygon has an interior angle that is 165°. Calculate:
(a)[3 marks]The number of sides of the polygon.
(b)[1 mark]The sum of the interior angles of the polygon.
Question 3
3 marks · Hard
Answer and see the solution →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.
Question 4
4 marks · Hard
Answer and see the solution →Triangle ABC has vertices at A(2,3), B(6,3), and C(2,8).
(a)[2 marks]Calculate the lengths of each side of the triangle.
(b)[2 marks]Determine the type of triangle (by its sides).