Mathematics (Syllabus D) 4024/21 — May/June 2012

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

questions

100

marks

150

minutes

Topics Geometry · Algebra and Graphs · Mensuration · Number · Transformations and Vectors · Coordinate Geometry · +4 more

Q1NumberFree sample

(a)

The sets $A$ , $B$ and $C$ are shown in the Venn diagram.

Fig. 1

\begin{aligned} \mathscr{E} &= \{ x : x \text{ is an integer, } 1 \leq x \leq 18 \} \\ A &= \{ x : x \text{ is an even number } \} \\ B &= \{ x : x \text{ is a multiple of } 5 \} \end{aligned}

(i)

Find $n(A \cup B)$ .

______

(ii)

(a)

Given that $A \cap B' \cap C' = \{2, 6, 14, 18\}$ , list the members of $C$ .

______

(b)

Describe the set $C$ in words.

$C = \{ x : x \text{ is } \_\_\_\_\_\_ \}$

(b)

A school offers piano lessons and flute lessons to a group of 50 children.
Of these children, 28 attend piano lessons
17 attend flute lessons
12 attend neither piano lessons nor flute lessons.

By drawing a Venn diagram, or otherwise, find the number of children who attend only the piano lessons.

______

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11 more questions

Q2Number4M
Q3Algebra and Graphs9M
Q4Mensuration · Geometry9M
Q5Geometry7M
Q6Coordinate Geometry · Algebra and Graphs · Transformations and Vectors · Mensuration9M
Q7Geometry · Transformations and Vectors9M
Q8Geometry · Mensuration12M
Q9Statistics · Probability12M
Q10Mensuration · Algebra and Graphs12M
Q11Trigonometry · Geometry12M
Q12[Legacy] Matrices · Algebra and Graphs12M

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