Additional Mathematics 4037/22 — May/June 2015

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120

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Topics Trigonometry · Logarithmic and exponential functions · Calculus · [Legacy] Set language and notation · [Legacy] Matrices · [Legacy] Indices and surds · +9 more

Q1[Legacy] Set language and notationFree sample

The universal set contains all the integers from 0 to 12 inclusive. Given that

A = \{1, 2, 3, 8, 12\}, \quad B = \{0, 2, 3, 4, 6\} \quad \text{and} \quad C = \{1, 2, 4, 6, 7, 9, 10\},

(i)

complete the Venn diagram,

Fig. 1

(ii)

state the value of $n(A' \cap B' \cap C)$ ,

(iii)

write down the elements of the set $A' \cap B \cap C$ .

The rest of this paper

11 more questions

Q2[Legacy] Matrices5M
Q3[Legacy] Indices and surds · Trigonometry5M
Q4Vectors in two dimensions5M
Q5Simultaneous equations5M
Q6Logarithmic and exponential functions6M
Q7Series6M
Q8Calculus · Quadratic functions8M
Q9Straight-line graphs12M
Q10Trigonometry · Equations, inequalities and graphs · Functions · Logarithmic and exponential functions8M
Q11Calculus · Circular measure8M
Q12Factors of polynomials7M

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