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MATHEMATICS PRACTICE QUESTIONS

SETS & VENN DIAGRAM

1.

Given the sets A = {multiples of 3 less than 12}, B = {integers between 4 and 8} and C = {4,5,7}, find:

(i)

AB;

(ii)

(AB)∩C;

(ii)

(AB)∪C;

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2.

Given that P = {factors of 36} and Q = {factors of 54},

(i)

list the members in the sets P and Q.

(ii)

Find:

Α

PQ

Β

n(PQ)

Γ

The Highest Common Factor (HCF) of 36 and 54.

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3.

In the Venn diagram, M and N are intersecting sets in the universal set µ.

(a)

Express n(M) and n(N) in terms of x.

(b)

Given that n(M) = n(N), find the:

(i)

Value of x.

(ii)

n(µ)

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