Mathematics (Syllabus D) 4024/22 — May/June 2014

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

questions

100

marks

150

minutes

Topics Mensuration · Geometry · Trigonometry · Number · Algebra and Graphs · Probability · +3 more

Q1GeometryFree sample

The scale drawing shows three airfields, $A$ , $B$ and $C$ , with $B$ due north of $A$ .
The scale is $1\,\text{cm}$ to $20\,\text{km}$ .

Fig. 1

(a)

Find the actual distance between $A$ and $B$ .

______ $\text{km}$

(b)

A beacon, $D$ , is to the west of the line $AB$ .
It is $100\,\text{km}$ from $A$ and $120\,\text{km}$ from $B$ .

Construct the position of $D$ on the scale drawing.

(c)

Measure the bearing of $C$ from $B$ .

______

(d)

An aircraft is

(i)

By constructing suitable loci, mark on the diagram the two possible positions, $P$ and $Q$ , of the aircraft.

(ii)

Given that the aircraft is east of the line $AB$ , find, by measuring, its bearing from $C$ .

______

The rest of this paper

10 more questions

Loading the full paper…