Additional Mathematics 4037/12 — October/November 2016

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

questions

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120

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Topics Logarithmic and exponential functions · Calculus · Straight-line graphs · [Legacy] Set language and notation · [Legacy] Indices and surds · Series · +6 more

Q1[Legacy] Set language and notationFree sample

(a)

Sets $\mathscr{E}$ , $A$ and $B$ are such that

n(\mathscr{E}) = 26, \quad n(A \cap B') = 7, \quad n(A \cap B) = 3 \quad \text{and} \quad n(B) = 15

Using a Venn diagram, or otherwise, find

(i)

$n(A)$ ,

(ii)

$n(A \cup B)$ ,

(iii)

$n(A \cup B)'$ .

(b)

It is given that $\mathscr{E} = \{x: 0 < x < 30\}$ , $P = \{\text{multiples of } 5\}$ , $Q = \{\text{multiples of } 6\}$ and $R = \{\text{multiples of } 2\}$ . Use set notation to complete the following statements.

(i)

$Q$ ........... $R$ ,

(ii)

$P \cap Q =$ ...........

The rest of this paper

10 more questions

Q2[Legacy] Indices and surds3M
Q3Logarithmic and exponential functions6M
Q4Series5M
Q5Calculus · Straight-line graphs7M
Q6[Legacy] Matrices7M
Q7Trigonometry · Calculus8M
Q8Circular measure9M
Q9Factors of polynomials · Quadratic functions · Equations, inequalities and graphs9M
Q10Calculus · Logarithmic and exponential functions12M
Q11Logarithmic and exponential functions · Straight-line graphs9M

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