34 Sets and Venn diagrams (Chapter 1)9 In a car club, 13 members drive a manual and 15
members have a sunroof on their car. 5 have manual
cars with a sunroof, and 4 have neither.
a Display this information on a Venn diagram.
b How many members:
i are in the club
ii drive a manual car without a sunroof
iii do not drive a manual car?10 All attendees of a camp left something at home. 11 forgot to bring their towel, and 23 forgot their
hat. Of the 30 campers, how many had neither a hat nor a towel?
11 Consider the sets U=fx 2 Z+:x 640 g, A=ffactors of 40 g, and B=ffactors of 20 g.
a List the setsAandB: b What can be said about setsAandB?
c Illustrate setsAandBon a Venn diagram.
12 At a conference, the 58 delegates speak many
different languages. 28 speak Arabic, 27 speak
Chinese, and 39 speak English. 12 speak Arabic
and Chinese, 16 speak both Chinese and English,
and 17 speak Arabic and English. 2 speak all three
languages. How many delegates speak:
a Chinese only
b none of these languages
c neither Arabic nor Chinese?cyan magenta yellow black(^05255075950525507595)
100 100
(^05255075950525507595)
100 100 4037 Cambridge
Additional Mathematics
Y:\HAESE\CAM4037\CamAdd_01\034CamAdd_01.cdr Thursday, 19 December 2013 1:57:47 PM GR8GREG