Additional Mathematics 4037/12 — May/June 2016

Cambridge O-Level · Calculator · worked solutions for every part, with the mark scheme

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120

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Topics Calculus · Trigonometry · Straight-line graphs · [Legacy] Set language and notation · Series · Vectors in two dimensions · +4 more

Q1[Legacy] Set language and notationFree sample

(a)

The universal set $\mathscr{E}$ is the set of real numbers and sets $X$ , $Y$ and $Z$ are such that

X = \{\text{integer multiples of } 5\},

Y = \{\text{integer multiples of } 10\},

Z = \{\pi, \sqrt{2}, \mathrm{e}\}.

Use set notation to complete the two statements below.

$Y$ ............... $X$

$Y \cap Z =$ ...............

(b)

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

Fig. 1

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