UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS
General Certificate of Education Ordinary Level
GEOMETRICAL AND MECHANICAL DRAWING
Paper 1
Additional Materials: A2 Drawing Paper (1 sheet)
Standard Drawing Equipment
7040/01
October/November 2008
2 hours 40 minutes
READ THESE INSTRUCTIONS FIRST
Write your Centre number, candidate number and name at the bottom right-hand corner of your Drawing
Paper.
Use both sides of the paper for your answers.
Do not use staples, paper clips, highlighters, glue or correction fluid.
Answer five
questions.
Answer not more than three
questions from any one section.
Unless otherwise stated, strictly geometrical methods must be used, solutions are to be drawn full size and no dimensions are required. All construction lines must be shown clearly, but lines which are parallel to, perpendicular to or inclined at angles of 30
°
, 45
°
or 60
°
to other lines may be drawn without showing construction lines.
All dimensions are in millimetres unless otherwise stated.
At the end of the examination, fasten all your work securely together.
The number of marks is given in brackets [ ] at the end of each question or part question.
IB08 11_7040_01/2RP
© UCLES 2008
This document consists of
8
printed pages.
[Turn over

2
Section 1 Plane Geometry
Answer not more than three
questions from this section.
1 The elevation of a catch plate is shown in Fig. 1.
Draw, full size, the catch plate, showing clearly the constructions used to determine the centres of the various arcs and the semi-ellipse ABC .
Construct a tangent to the ellipse at point
P
. [20]
40
R40
Ø2
0
R20
A
R20
C
R25
P
20
B
120
Fig. 1
© UCLES 2008 7040/01/O/N/08

2
Fig. 2 shows crank OA and a lever CB connected by a rigid link AB , with pin joints at A and B .
The crank OA
rotates clockwise about the fixed centre
O , whilst CB
oscillates about the fixed centre C .
Draw the locus of point
P
, for one complete revolution of crank OA .
B
[20]
P
A
C
O crank lever link
OA = 40
CB = 60
AB = 120
AP = 80
100
Fig. 2
© UCLES 2008 7040/01/O/N/08
[Turn over

4
Fig. 3 shows a view of a sheet-metal plate.
(a)
Draw the given view. Measure and state the length of the side DE .
(b) Construct a similar figure, having the ratio of its sides equal to 4/7 of those in Fig. 3.
D
90 °
AB = 60
BC = 60
AE = 70
CE = 110
CD = 90
[11]
[9]
E
C
A
Fig. 3
B
60 °
© UCLES 2008 7040/01/O/N/08

Section 2 Solid Geometry
Answer not more than three
questions from this section.
4
Fig. 4 shows three views of a casting drawn in first angle projection.
Draw an isometric view of this casting with
P
the lowest point in the view.
Do not use an isometric scale or show any hidden detail. [20]
R30
35 35
© UCLES 2008 7040/01/O/N/08
10 12
[Turn over

Fig. 5 shows the elevation and incomplete end view of a triangular prism intersected by a regular octagonal prism.
Draw:
(a)
the given elevation;
(b)
the complete end view;
(c)
a plan view projected from
(a)
;
(d)
the development of the surface area of the octagonal prism.
Hidden detail is not required in any view.
[6]
[4]
[4]
[6] regular octagon
100
45 °
60
60 °
60
45 °
40
Fig. 5
A right-handed helical spring is made from a square steel bar 15 mm square.
The outside diameter of the spring is 90 mm and it has a pitch of 90 mm.
Draw 1½ turns of the spring.
Hidden detail is not required in any view.
40
[20]
© UCLES 2008 7040/01/O/N/08

7
7 Fig. 6 shows two incomplete views of the junction of two offset cylindrical pipes.
(a)
Draw the given views. [3]
(b)
Complete the front elevation showing the curves of intersection. Include all hidden detail. [11]
(c)
Complete the end elevation. [6]
Ø50
5
60 °
30 60
Fig. 6
Permission to reproduce items where third-party owned material protected by copyright is included has been sought and cleared where possible. Every reasonable effort has been made by the publisher (UCLES) to trace copyright holders, but if any items requiring clearance have unwittingly been included the publisher will be pleased to make amends at the earliest possible opportunity.
© UCLES 2008 7040/01/O/N/08
[Turn over

8
8
Fig. 7 shows the elevation and incomplete plan of a right circular cone which is cut by a plane X–X lying parallel to the generator.
(a)
Draw the given views.
(b)
Draw the following views of the part of the cone below the cutting plane;
(i) an end elevation projected from view
(a)
looking in the direction of arrow A ;
(ii) a complete plan view looking in the direction of arrow B .
(c)
Draw the true shape of the cut face.
B
[2]
[6]
[6]
[6]
X
A
X 35
Ø100
Fig. 7
University of Cambridge International Examinations is part of the Cambridge Assessment Group. Cambridge Assessment is the brand name of University of
Cambridge Local Examinations Syndicate (UCLES), which is itself a department of the University of Cambridge.
© UCLES 2008 7040/01/O/N/08