Additional Mathematics 4037/13 — October/November 2012

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

questions

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120

minutes

Topics Calculus · Trigonometry · [Legacy] Set language and notation · Permutations and combinations · Vectors in two dimensions · Series · +5 more

Q1[Legacy] Set language and notationFree sample

(a)

On the Venn diagrams below, shade the region corresponding to the set given below each Venn diagram.

Fig. 1

(b)

It is given that sets $\mathscr{E}$ , $B$ , $S$ and $F$ are such that

\begin{aligned} \mathscr{E} &= \{\text{students in a school}\}, \\ B &= \{\text{students who are boys}\}, \\ S &= \{\text{students in the swimming team}\}, \\ F &= \{\text{students in the football team}\}. \end{aligned}

Express each of the following statements in set notation.

(i)

All students in the football team are boys.

(ii)

There are no students who are in both the swimming team and the football team.

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10 more questions

Q2Calculus4M
Q3Permutations and combinations6M
Q4Trigonometry6M
Q5Vectors in two dimensions8M
Q6Series7M
Q7Calculus7M
Q8Factors of polynomials7M
Q9Circular measure · Trigonometry8M
Q10Trigonometry12M
Q11Calculus · Logarithmic and exponential functions · Quadratic functions · Straight-line graphs22M

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