UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS
General Certificate of Education Ordinary Level
GEOMETRICAL AND MECHANICAL DRAWING
7040/01
October/November 2008
Paper 1
2 hours 40 minutes
*7330817699*
Additional Materials:
A2 Drawing Paper (1 sheet)
Standard Drawing Equipment
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.
This document consists of 8 printed pages.
IB08 11_7040_01/2RP
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Section 1 Plane Geometry
Answer not more than three questions from this section.
1The 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]
R
R40
20
40
Ø2
20
R
R25
25
0
C
35
A
P
B
20
120
Fig. 1
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2Fig. 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.
[20]
B
P
A
C
crank OA = 40
lever CB = 60
link AB = 120
AP = 80
O
100
Fig. 2
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3
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.
[11]
D
90°
AB = 60
BC = 60
AE = 70
CE = 110
CD = 90
E
C
60°
A
B
Fig. 3
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[9]
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]
P
P
20
70
8 8
30
R
70
20
35
35
10
10
12
5
60
12
5
Fig. 4
10
10
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10
12
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5Fig. 5 shows the elevation and incomplete end view of a triangular prism intersected by a regular
octagonal prism.
Draw:
(a) the given elevation;
[6]
(b) the complete end view;
[4]
(c) a plan view projected from (a);
[4]
(d) the development of the surface area of the octagonal prism.
[6]
Hidden detail is not required in any view.
10
0
regular octagon
45°
60°
45°
60
60
40
40
Fig. 5
6
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.
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7
Fig. 6 shows two incomplete views of the junction of two offset cylindrical pipes.
(a) Draw the given views.
(b) Complete the front elevation showing the curves of intersection. Include all hidden detail. [11]
(c) Complete the end elevation.
[3]
[6]
Ø5
15
0
30
Ø60
60°
5
60
Fig. 6
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publisher will be pleased to make amends at the earliest possible opportunity.
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8Fig. 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;
[2]
(i)
an end elevation projected from view (a) looking in the direction of arrow A;
[6]
(ii)
a complete plan view looking in the direction of arrow B.
[6]
(c) Draw the true shape of the cut face.
[6]
X
B
X
100
A
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
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