UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS
General Certificate of Education Ordinary Level
7040/01
GEOMETRICAL AND MECHANICAL DRAWING
Paper 1
May/June 2004
2 hours 40 minutes
Additional Materials:
A2 Drawing Paper (1 sheet)
Standard Drawing Equipment
READ THESE INSTRUCTIONS FIRST
Print your name, Centre number and candidate number at the bottom right-hand corner of your Drawing
Paper.
Use both sides of the drawing paper for your answers.
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.
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.
All dimensions are in millimetres unless otherwise stated.
This document consists of 9 printed pages and 3 blank pages.
SP (AT/GR) S52973/5
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2
Section 1 Plane Geometry
Answer not more than three questions from this section.
1
Fig. 1 shows the elevation of a metal plate ABCDEF.
(a) Draw, full size, the given elevation. Show clearly the construction used to determine the
centre of arc BCD and the 90° angle AFE.
[8]
(b) Construct a similar elevation having an increased area in the ratio of 7:5 to that of plate
ABCDEF.
[12]
A
30°
75°
100
B
90°
C
F
E
D
60
120
Fig. 1
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2
A rubber wheel of 50 mm diameter, attached to a machine table, rolls without slip down a vertical
guide as shown in Fig. 2.
(a) Construct the locus for P, a point on the circumference of the rubber wheel, as the table
moves from the start to stop position.
[13]
(b) Name the curve you have drawn.
[2]
(c) Construct a tangent to the locus of point P, when P has moved 60 mm vertically downwards
from the start position.
[5]
GUIDE
RUBBER WHEEL
start position
for table
P
209
stop position
for table
Fig. 2
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3
Fig. 3 shows the curved shape formed by the centre line of a metal arm.
AXIS
Ignoring the thickness of the material, draw, full size, the given centre line of the arm, clearly
showing the construction used for both curves and tangent.
[20]
CURVE BVC PARABOLIC
30
V
FOCAL
POINT
A
VERTEX
F
CD TANGENT TO
PARABOLIC CURVE
B
C
90°
75
80
100
CURVE AB SEMI-ELLIPSE
MAJOR AXIS 60
MINOR AXIS 40
Fig. 3
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5
Section 2 Solid Geometry
Answer not more than three questions from this section.
4
A lampshade is to be made from thin sheet material, based on a right circular cone as shown in
Fig. 4.
Draw, full size, a surface development of the lampshade having the joint line along the shortest
edge.
[20]
60
100
45°
R55
LAMPSHADE
Ø80
Fig. 4
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5
Fig. 5 shows details of a timer case.
With corner C in the foreground of your view, draw, full size, an isometric projection of the case.
No hidden detail is required. Do not use an isometric scale.
[20]
HEX 70 A/F
13
13
5
Ø10
20
12
20
57
90
0
Ø6
15
R12
C1
C
6
6
70
70
Fig. 5
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7
6
Fig. 6 shows details of a small support bracket.
(a) Draw, full size, the given views.
[2]
7
30
(b) Project an auxiliary elevation on X1Y1 as seen when looking in the direction of arrow V. Ignore
hidden detail.
[18]
7
SPHERE R8
60
R
30°
20
X1
25
65
Y1
X
Y
BEVEL
15
20
30
HEX 20 A/F
74
25
V
60°
Fig. 6
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7
Fig. 7 shows the scaled details of a right cylindrical capsule and a spherical observation dome.
The shape of the dome is produced by the intersection of a sphere of 50 mm radius, positioned
half-way along a cylinder of 100 mm diameter and measuring 110 mm in length.
The axis of the cylindrical capsule is parallel to the HP and perpendicular to the VP.
Draw:
(a) the given view;
[1]
(b) a view in direction of arrow P;
[10]
(c) a view in direction of arrow E.
[9]
Include all hidden detail.
P
SPHERE R50
CYLINDRICAL
CAPSULE
15
15
E
Ø100
SPHERICAL
DOME
END VIEW
Fig. 7
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8
Fig. 8 shows two views of a flat sheet ABCDE. Two lines AC and EC are marked on the upper
surface.
(a) Draw, full size, the given views.
[1]
(b) Determine and state to the nearest mm the true lengths of lines AC and EC.
[10]
(c) Determine the true lengths of all sides of the sheet ABCDE, and use them to construct its true
shape.
[9]
d'
45°
b'
c'
X
5
e'
a'
c
30°
a
30
d
15
10
b
e
15
15
55
Fig. 8
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University of Cambridge International Examinations is part of the University of Cambridge Local Examinations Syndicate (UCLES), which is itself a department of
the University of Cambridge.
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