Pearson Edexcel International GCSE (9–1) · MATHEMATICS A · Unit
Unit 1
108 practice questions
Topics covered
Practice questions
61–70 of 108
Question 61
2 marks · Easy
Answer and see the solution →(a)[1 mark]A quadrilateral labelled WXYZ: Sides WX and YZ are marked as parallel. Look at the quadrilateral WXYZ. Name this type of quadrilateral.
(b)[1 mark]State the relationship between its opposite angles.
Question 62
1 mark · Normal
Answer and see the solution →Write down the name of the 2D shape that has four equal sides and four right angles.
Question 63
2 marks · Normal
Answer and see the solution →Draw a triangle which has exactly one line of symmetry. Name this type of triangle.
Question 64
2 marks · Normal
Answer and see the solution →Explain why a rectangle is not the same as a square, even though both have four sides and four right angles.
Question 65
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 66
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 67
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 68
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 69
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 70
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.