Additional Mathematics 4037/11 — October/November 2011

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

questions

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120

minutes

Topics Trigonometry · Calculus · [Legacy] Set language and notation · Factors of polynomials · Straight-line graphs · Logarithmic and exponential functions · +4 more

Q1[Legacy] Set language and notationFree sample

(a)

Sets $A$ and $B$ are such that $\mathrm{n}(A) = 15$ and $\mathrm{n}(B) = 7$ . Find the greatest and least possible values of

(i)

$\mathrm{n}(A \cap B)$ ,

(ii)

$\mathrm{n}(A \cup B)$ .

(b)

On a Venn diagram draw 3 sets $P$ , $Q$ and $R$ such that

P \cap Q = \varnothing \text{ and } P \cup R = P.

The rest of this paper

9 more questions

Q2Factors of polynomials6M
Q3Straight-line graphs · Logarithmic and exponential functions5M
Q4Permutations and combinations6M
Q5Calculus · Trigonometry8M
Q6Trigonometry8M
Q7Series8M
Q8Calculus11M
Q9Trigonometry10M
Q10Circular measure · Calculus · Coordinate geometry of the circle · Trigonometry24M

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