Cambridge Additional Mathematics

4 Write using interval notation, and state whether the interval is closed, open, or neither:

ab

5 Illustrate in the Cartesian plane:

a f(x,y):y=¡ 2 xg b f(x,y):x 6 yg

6 On separate Venn diagrams like the one alongside, shade:

a N^0 b M\N c M\N^0

7 Let U=fthe letters in the English alphabetg, A=fthe letters in “springbok”g, and

B=fthe letters in “waterbuck”g.

a Find:

i A[B ii A\B iii A\B^0

b Write a description for each of the sets ina.

c ShowU,A, andBon a Venn diagram.

8 Let U=fx 2 Z+:x 630 g, P=ffactors of 24 g, and Q=ffactors of 30 g.

a List the elements of:

i P ii Q iii P\Q iv P[Q

b Illustrate the setsPandQon a Venn diagram.

9 A school has 564 students. During Term 1 , 229 of them were absent for at least one day due to

sickness, and 111 students missed some school because of family holidays. 296 students attended

every day of Term 1.

a Display this information on a Venn diagram.

b Find the number of students who were away:

ii for holidays but not sickness

iii during Term 1 for any reason.

10 The main courses at a restaurant all contain rice or onion. Of the 23 choices, 17 contain onion and

14 contain rice. How many dishes contain both rice and onion?

11 38 students were asked what life skills they had. 15 could

swim, 12 could drive, and 23 could cook. 9 could cook and

swim, 5 could swim and drive, and 6 could drive and cook.

There was 1 student who could do all three. Find the number

of students who:

a could only cook

b could not do any of these things

c had exactly two life skills.

U

M

N

i for both sickness and holidays

32 Sets and Venn diagrams (Chapter 1)

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Additional Mathematics
Y:\HAESE\CAM4037\CamAdd_01\032CamAdd_01.cdr Thursday, 9 January 2014 10:35:25 AM BRIAN