Page 162 - Mathematics_Form_Two

Sets

(a) A∪B study History but not English, and 1
(b) A∩B studies neither English nor History.
(c) A ∪ B′ How many students in the class
study History?
=
=
9. If n(B) 4, n(A∪B) 4, and
n(A∩B) = 0, how many members 16. There are 24 men at a meeting, 12
FOR ONLINE READING ONLY
are farmers, 18 are soldiers, and 8
Mathematics for Secondary Schools 10. If n(A) = 8 and n(A∩B) = 8, what (a) How many men are either
are there in set A?
are both farmers and soldiers.
is the relationship between the sets
farmers or soldiers?
A and B?
(b) How many men are neither
=
=
11. Given n(A∩B) 6, n(A∪B) 10,
farmers nor soldiers?
=
and n(B) 6.
(a) Find the number of members in 17. In a class of 30 students, 20
students take Physics, and 12 take
set A. both Chemistry and Physics. How
(b) Between A and B, which set is a many students take Chemistry, if
subset of the other?
8 students take neither Physics nor

12. Given (An ∩ ) B = 0 and (An ∪ B) = 4. Chemistry?
What is the relationship between 18. In a certain meeting 30 people
sets A and B? drank Pepsicola, 60 drank Coca-

13. In a class, 15 students play basketball, Cola, and 25 drank both Pepsicola
11 play netball, and 6 play both and Coca-Cola. Assuming that each
basketball, and netball. How many person took Pepsicola or Coca-Cola,
students are there in the class if how many people were there at the
every student plays at least one meeting?.
game? 9. Every woman in a certain club

14. In a school of 160 students, 50 owns a landrover or a bicycle. If
have bread for breakfast and 80 23 women own landrovers, 14
have sweet potatoes. Assuming that own bicycles, and 5 own both a
none takes both bread and sweet landrover and a bicycle, how many

potatoes, how many students have women are there in the club?
neither bread nor sweet potatoes for 20. A survey of 160 households, showed
breakfast? that 95 kept cats and 80 kept dogs.

15. In a class of 20 students, 12 students How many households kept both a
study English but not History, 4 cat and a dog?

156
Student's Book Form Two

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MATHEMATIC F2 v5.indd 156
MATHEMATIC F2 v5.indd 156 11/10/2024 20:13:34