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20 questions
Additional Mathematics/Paper 1/[Legacy] Set language and notation
CAIEO-Level4037-o · Paper 1

[Legacy] Set language and notation

20 questions· page 1 of 2

Q12019 May/Jun·P112 partsMedium-Easy
(a)

On the Venn diagrams below, shade the region indicated.

(b)

On the Venn diagram below, draw sets PP, QQ and RR such that

PR,  QR and PQ=.P \subset R,\; Q \subset R \text{ and } P \cap Q = \varnothing.
Q12019 May/Jun·P122 partsMedium-Easy
(a)

On the Venn diagrams below, shade the region indicated.

(b)
E={x:0x360}P={x:cos2x=0.5}Q={x:sinx=0.5}\begin{aligned} \mathscr{E} &= \{x : 0^\circ \leq x \leq 360^\circ\} \\ P &= \{x : \cos 2x = 0.5\} \\ Q &= \{x : \sin x = 0.5\} \end{aligned}

Find PQP \cap Q.

Q12019 Oct/Nov·P132 partsMedium-Easy
(i)

Using the Venn diagram, find the value of xx.

(ii)

Find the number of students who study mathematics only.

Q12017 May/Jun·P123MMedium-Easy

On each of the Venn diagrams below, shade the region which represents the given set.

Similar questions
Q12017 Oct/Nov·P122 partsEasy
(i)

On the Venn diagram below, draw sets XX and YY such that n(XY)=0\mathrm{n}(X \cap Y) = 0.

(ii)

On the Venn diagram below, draw sets AA, BB and CC such that C(AB)C \subset (A \cup B)'.

Q12016 May/Jun·P122 partsEasy
(a)

The universal set E\mathscr{E} is the set of real numbers and sets XX, YY and ZZ are such that

X={integer multiples of 5},X = \{\text{integer multiples of } 5\}, Y={integer multiples of 10},Y = \{\text{integer multiples of } 10\}, Z={π,2,e}.Z = \{\pi, \sqrt{2}, \mathrm{e}\}.

Use set notation to complete the two statements below.

YY ............... XX

YZ=Y \cap Z = ...............

(b)

On each of the Venn diagrams below, shade the region indicated.

Q12016 Oct/Nov·P125 partsEasy
(a)(i)

n(A)n(A),

(a)(ii)

n(AB)n(A \cup B),

(a)(iii)

n(AB)n(A \cup B)'.

(b)(i)

QQ ........... RR,

(b)(ii)

PQ=P \cap Q = ...........

Q62015 Oct/Nov·P125 partsEasy
(i)

ABA \cap B

(ii)

ACA \cup C

(iii)

ACA' \cap C

(iv)

(DB)(D \cup B)'

(v)

Write down a set EE such that EDE \subset D.

Q32014 May/Jun·P113 partsMedium-Easy
(a)

On the Venn diagrams below, shade the regions indicated.

(b)(i)

Find n(P)\mathrm{n}(P).

(b)(ii)

Find n(Q)\mathrm{n}(Q).

Q22014 May/Jun·P124 partsEasy
(a)

On the Venn diagrams below, draw sets AA and BB as indicated.

(b)(i)

n(Q)n(Q),

(b)(ii)

n((PQ))n((P \cup Q)'),

(b)(iii)

n(PQ)n(P \cap Q').