Pearson Edexcel International GCSE (9–1) · MATHEMATICS A · Unit
Unit 1
108 practice questions
Topics covered
Practice questions
31–40 of 51 · Normal
Question 31
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 32
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 33
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 34
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 35
2 marks · Normal
Answer and see the solution →List all the elements of the set where is a whole number and .
Question 36
2 marks · Normal
Answer and see the solution →Write the following set using set notation: The set of vowels in the English alphabet.
Question 37
4 marks · Normal
Answer and see the solution →The sets and are shown.
(a)[1 mark]Write down .
(b)[1 mark]Write down .
(c)[2 marks]List all elements of the set (the complement of ), assuming the universal set is .
Question 38
4 marks · Normal
Answer and see the solution →In a survey, 35 students were asked if they play football (F) or tennis (T).
Results Category Number of students Play only football 15 Play only tennis 12 Play both sports 5 Play neither 3 (a)[1 mark]How many students play football?
(b)[1 mark]How many students play tennis?
(c)[1 mark]How many play exactly one sport?
(d)[1 mark]Verify that the total number of students is 35.
Question 39
3 marks · Normal
Answer and see the solution →The Venn diagram shows sets E and F in a universal set S.
Venn diagram for question 6. (a)[1 mark]What name is given to the overlapping part of E and F?
(b)[1 mark]Write the symbol or notation for the region that is inside E or inside F or both.
(c)[1 mark]Write in set notation the region outside both E and F.
Question 40
4 marks · Normal
Answer and see the solution →Let and .
(a)[2 marks]List all the elements in .
(b)[1 mark]List all the elements in .
(c)[1 mark]List all the elements in , if the universal set is .