Sets and Venn Diagrams Igcse Questions Answers

SETS AND VENN DIAGRAMS DIAGRAMS IGCSE QUESTIONS ANSWERS May 2006 Paper 2 17

(a)

2

B1 numbers

B1 labels

(b)

2

B1 numbers

B1 labels

 Allow 0 in an intersection of A and and B

November 2002 Paper 2

November 2006 Paper Paper 2

November 2007 Paper Paper 2 12

(a) ø (b) ξ (c) A

1 1 1

No brackets allowed. No brackets allowed

Not ε or e

June 2010 Paper 2.1 12 2

Q 4

5 6

10

P

8

3

M1 15 only in small circle M1 10 only in the intersection A1 all correct including labels

1 1

or or

R  15

20

June 2010 Paper 2.2 ( A ( A

7

∪

 B

∪

C )' 

∪

C )' 

∩

 B

 A' 

∩

 B' 

∩

C' 

 A' 

∩

C' 

∩

 B

or

 A' 

∩

 ( B

∪

C )' 

May 2003 Paper 2 11

integer

(112 / 7)

rational nos. 2.6   4/17 irrational no.

12

1

accept

1 1 1

accept 0.235 accept 3.46

16

or 4

4

May 2005 Paper 2 11

3

B1 for 8 in correct place B1 for 2 in correct place B1 for 4 and 7 in correct place SC2 2 4 8 7 or 2 6 6 7

May 2007 Paper 2

May 2008 Paper 2 12

(a)

2

B1 P and S not intersecting.

Two sets must be labelled Three intersecting circles will have P

(b) 4

1√

∩

 S empty.

from the number of elements in the shaded area

May 2009 Paper 2 4

1, 1

November 2004 Paper 2 11

(a) B

A

41 43 47

45 49

2*

B1 One region correct The numbers must be completely inside the correct region

1√ 

Count the numbers in the region between A and B Not 45, 49

48 46

40 42 44 (b) 2

November 2005 Paper 4 4 (a) (i)

12

B1

(ii)

3

B1

(iii)

21

B1

(iv) 2

B1

November 2008 Paper 4 ( p =) 5 cao, (q =) 12 cao (r =) 1 ft

9 (a)

B1 B1 B1ft

(b) (i)

17

cao

B1

(ii)

12

cao

B1

(c) (i)

26

cao

B1

(ii)

57

ft

B1ft

Accept in correct order if no labels ft for r  = 18 – their  p – their q provided r  not negative

ft 45 + their q