Pearson Edexcel International GCSE (9–1) · MATHEMATICS A · Chapter
Shape and Space 1
19 practice questions
Practice questions
11–19 of 19
Question 11
3 marks · Normal
Answer and see the solution →Complete the table. For each figure, write down the number of sides and the number of lines of symmetry.
Shapes and their symmetries Shape Number of sides Lines of symmetry Equilateral triangle Regular octagon Rectangle Question 12
4 marks · Normal
Answer and see the solution →The diagram below shows a quadrilateral KLMN with vertices at K(2, 6), L(6, 6), M(7, 2), and N(1, 2).
Quadrilateral KLMN (a)[1 mark]Name the type of quadrilateral shown.
(b)[1 mark]Calculate the length of side KL.
(c)[1 mark]Write down the order of rotational symmetry of the quadrilateral.
(d)[1 mark]How many lines of symmetry does the quadrilateral have?
Question 13
2 marks · Normal
Answer and see the solution →Write down the names of two different 2D shapes that have exactly one line of symmetry.
Question 14
3 marks · Normal
Answer and see the solution →Work out the value of angle y in the diagram below. Show all your working.
Angle properties in a triangle Given: AB = 6 cm, AC = 7 cm, BC = 5 cm, angle BAC = y°.
Question 15
3 marks · Normal
Answer and see the solution →The following table shows the order of rotational symmetry for several 2D shapes. Complete the missing values.
Order of rotational symmetry for shapes Shape Order of rotational symmetry Equilateral triangle Rectangle Rhombus Regular pentagon Parallelogram Question 16
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 17
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 18
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 19
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).