Sets — Paper 2 · IGCSE Mathematics - International 0607

9 (a) In each diagram, shade the region indicated. U A U B B A C A + B l (A , C ) + B l [2] (b) Use set notation to describe the shaded region. U A B C … [1]

3 marks

Mark scheme: 9(a) 2 B1 for each 9(b) A ∩ B ∩ C' oe 1

This question in 0607/22 May/June 2017

8 Shade the region indicated in each of these Venn diagrams. (a) U A B Al + B l [1] (b) U A B A , (B + C ) [1] C (c) U A B A + B + C l [1] C

3 marks

Mark scheme: 8(a) 1 8(b) 1 8(c) 1

This question in 0607/21 Oct/Nov 2017

11 In each Venn diagram, shade the region indicated. U P Q U A B R (A B)' (P Q) R [2]

2 marks

Mark scheme: 11 2 B1 for each

This question in 0607/21 May/June 2018

13 Shade the given sets in each of these diagrams. U U A B A B A' B (A' B')' [2]

2 marks

Mark scheme: 13 2 B1 for each

This question in 0607/22 May/June 2018

10 U = {integers from 1 to 12} A = {1, 2, 4, 5, 12} B = {2, 3, 4, 6, 10} C = {1, 2, 8, 9, 10} (a) Complete the Venn Diagram. U A B C [2] (b) Find n (A + (B , C ) )l . … [1]

3 marks

Mark scheme: 10(a) 2 B1 for 1, 2 or 3 numbers misplaced A B 5 4 3 6 12 2 1 10 8 9 C 7 11 10(b) 2 1 FT their diagram

This question in 0607/21 May/June 2019

11 U P Q … … … 5 n(U) = 25 n(P) = 10 n(Q) = 17 n (P , Q ) l = 5 Complete the Venn diagram. [2]

2 marks

Mark scheme: 11 3 7 10 2 B1 for 7 in correct place If B0, SC1 for 10 – k, k, 17 – k

This question in 0607/22 May/June 2019

15 (a) On the Venn Diagram, shade the set A + B + C l. U B A C [1] (b) Use set notation to describe the shaded region. U Q P R … [1]

2 marks

Mark scheme: 15(a) 1 15(b) ′ 1 ( P ∪ Q ) ∩ R

This question in 0607/23 May/June 2020

11 (a) In each Venn diagram, shade the given set. U U A B A B A , B ( A + B ) l [2] (b) In this Venn diagram, the number of elements in each of the subsets is shown. U P Q 7 12 4 3 5 6 11 R 8 Find. (i) n ( P , ( Q + R )) … [1] (ii) n (( P , Q ) + R )' … [1]

4 marks

Mark scheme: 11(a) 2 B1 for each 11(b)(i) 30 1 11(b)(ii) 23 1

This question in 0607/22 Oct/Nov 2020

6 On the Venn diagram, shade A , B . U A B [1]

1 marks

Mark scheme: 6 1

This question in 0607/23 May/June 2021

11 (a) Shade P , Q . U P Q [1] (b) Describe the shaded area using set notation. U R S … [1] (c) The Venn diagram shows the number of elements in each subset. U A B 5 3 6 2 7 1 C 4 2 Find n (( B l + C) + A ) . … [1]

3 marks

Mark scheme: 11(a) 1 P Q 11(b) R′ ∩ S oe 1 11(c) 7 only 1

This question in 0607/21 May/June 2022

9 U P Q b a c i e d f g h j U = {a, b, c, d, e, f, g, h, i, j} Complete each statement. (a) ( P , Q ) l = { … } [1] (b) {a, e} = P … Q [1] (c) n ( P l , Q ) = … [1]

3 marks

Mark scheme: 9(a) f, g, h, j 1 9(b)  1 9(c) 7 1

This question in 0607/23 Oct/Nov 2022

13 Shade the given sets in each of these Venn diagrams. (a) Al , B l U A B [1] (b) ( A + B ) l U A B [1]

2 marks

Mark scheme: 13(a) 1 13(b) 1

This question in 0607/22 Feb/March 2023

9 On the Venn diagrams, shade the given subsets. U U A B P Q A , B ( P l + Q ) , ( P + Q l ) [2]

2 marks

Mark scheme: 9 Correct shading 2 B1 for each

This question in 0607/22 May/June 2023

13 Shade the given region on the Venn diagram. (a) Al + B l U A B [1] (b) ( A , B l) l U A B [1]

2 marks

Mark scheme: 13(a) Correct sketch 1 13(b) Correct sketch 1

This question in 0607/23 May/June 2023

11 (a) On the Venn diagram, shade ( A , B ) l. U A B [1] (b) Use set notation to describe the shaded region. U P Q … [1] (c) There are 35 students in a class. The students are asked if they like athletics (A) or cricket (C ). n(A) = 15 n(C ) = 14 n ( A + C ) = 5 Complete the Venn diagram below by writing the number of elements in each subset. U A C [2]

4 marks

Mark scheme: 11(a) 1 11(b) P  Q ' 1 11(c) 2 B1 for 2 correctly placed numbers U A C 10 5 9 11

This question in 0607/22 Oct/Nov 2023

9 In each Venn diagram, shade the given set. U U A B P Q A j B ( P k Q ) l [2]

2 marks

Mark scheme: 9 2 B1 for each

This question in 0607/23 May/June 2024

6 U = {natural numbers G 20 } A = {multiples of 3} B = {triangle numbers} (a) Write down the elements of set A and the elements of set B. Set A … Set B … [2] (b) Write down the elements of A + B . … [1]

3 marks

Mark scheme: 6(a) [A] 3 6 9 12 15 18 2 B1 for each [B] 1 3 6 10 15 6(b) 3 6 15 1 FT their sets

This question in 0607/22 Feb/March 2025

11 The numbers 1 to 20 are shown in the Venn diagram. U A 20 B 5 7 4 12 2 13 8 17 6 3 9 1 10 11 14 15 16 19 C 18 (a) List the elements of A k B . … [1] (b) Find (i) n ( A j C ) … [1] (ii) n [( A j B ) l k C ] . … [1] (c) Two of the 20 numbers are picked at random without replacement. Find the probability that (i) both numbers are in ( A j B ) l k C … [2] (ii) one number is in A but not B and the other number is in B but not A. … [3]

8 marks

Mark scheme: 11(a) 3, 4, 9, 12 1 11(b)(i) 14 1 11(b)(ii) 3 1 11(c)(i) 6 2 their 3 oe B1 for oe 380 20 11(c)(ii) 60 3 5 6 oe M2 for [2]  oe 380 20 19 5 6 6 5 or M1 for or or or 20 19 20 19

This question in 0607/21 Oct/Nov 2025