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Cambridge IGCSE™ Mathematics Core Worksheets 10 Set notation and Venn diagrams Estimated time to complete: 20 mins Exercise 10.1 1 {Moscow, London, Cairo, Delhi, …} a Describe this set in words....

Cambridge IGCSE™ Mathematics Core Worksheets 10 Set notation and Venn diagrams Estimated time to complete: 20 mins Exercise 10.1 1 {Moscow, London, Cairo, Delhi, …} a Describe this set in words. b Write down two more elements of this set. 2 {euro, dollar, yen, …} a Describe this set in words. b Write down two more elements of this set. 3 Consider the set P = {Barcelona, Real Madrid, Benfica, Ajax, Juventus}. Write down two more possible elements of the set. 4 Consider the set R = {Beethoven, Mozart, Greig, Brahms}. a Describe this set in words. b Write down two more elements of this set. Cambridge IGCSE™ Mathematics Core 5th edition © Hodder & Stoughton Limited 2023 30  Cambridge IGCSE™ Mathematics Core Worksheets Exercises 10.2–10.3 1 Consider the Venn diagram below. a Describe the elements of set A in words. b Describe the elements of set B in words. c Answer true or false. i A ∩ B = {6, 12, 18} i A ∩ B = {6, 12, 18}. 2 Sets X and Y are defined in words as follows: X = {square numbers up to 100} Y = {cube numbers up to 100} a Complete the following sets by entering in the numbers: X = {……………………………………………………………………..………………………} Y = {……………………………………………………………………..………………………} b Draw a Venn diagram showing all the elements of X and Y. c Enter the elements belonging to the following set: X ∩ Y = {…………………………………………………………………..………………………} Cambridge IGCSE™ Mathematics Core 5th edition © Hodder & Stoughton Limited 2023 31  Cambridge IGCSE™ Mathematics Core Worksheets Exercise 10.4 A class of 32 students was asked what pets they had. Each student either had a rabbit (D), cat (C), neither or both. A Venn diagram showing the results is below: If n (C) = 18 and n (D) = 15 a Calculate: i x ii y iii z b Calculate: i 𝑛𝑛(𝐷𝐷⋂𝐶𝐶) ii 𝑛𝑛(𝐷𝐷⋃𝐶𝐶) Cambridge IGCSE™ Mathematics Core 5th edition © Hodder & Stoughton Limited 2023 32