CAMBRIDGE INTERNATIONAL EXAMINATIONS
General Certificate of Education Ordinary Level
7040/01
GEOMETRICAL AND MECHANICAL DRAWING
Paper 1
October/November 2003
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.
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.
Use both sides of the Drawing Paper for your answers.
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 8 printed pages.
SP (CW/TC) S41445/5
© CIE 2003
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2
Section 1 Plane Geometry
Answer not more than three questions from this section.
1
(a) Construct, full size, the polygon ABCDE given lengths of the sides to be;
base line AB = 45, BC = 60, CD = 40, AC = 75, CE = 70, BE = 70, and AD = 60.
(b) Construct a similar figure with the sides increased in the ratio of 4 : 3.
[5]
(c) Construct a square equal in area to that of the polygon drawn in (a).
[8]
(d) Measure and state the size of the square.
[1]
Construct the path traced by point X, the free end of a piece of flexible wire 173 mm long, which is
fixed at A and is wound clockwise around the component shown in Fig. 1.
[20]
'X'
flexible wire
173
0
R3
15
2
[6]
A
not to scale
30
Fig. 1
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Fig. 2 shows the outline of a simple mechanism in which the crank OA rotates about a
fixed centre O. The link BC is connected to A by a pin joint, and is able to slide in the guide D
which is free to swivel.
(a) Plot the loci of B and C as OA makes one complete revolution.
[18]
[2]
AO = 30
AC = 140
AB = 20
C
(b) State the maximum and minimum distances that C makes relative to D.
B
O
A
80
Fig. 2
D
40
3
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4
Section 2 Solid Geometry
Answer not more than three questions from this section.
Fig. 3 shows the elevation of a right circular truncated hollow cone intersected by a thin metal
circular air duct. The axes of the two parts are at right angles to each other.
Ignoring the thickness of the metal, draw;
(a) the given view;
[6]
(b) the development of the remaining surface area of the modified right circular cone.
30
100
30°
Ø 60
30
4
Ø100
Fig. 3
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[14]
5
Fig. 4 shows the plan and incomplete elevation of a right circular cylinder penetrated by a square
prism.
(a) Draw the given plan.
[2]
(b) Complete the elevation showing the curves of intersection between the cylinder and the
square prism.
[10]
(c) In projection with (b) draw an end view looking in the direction of arrow A, showing only the
cylinder and the shape of the aperture into which the square prism fits.
[8]
sides of square
prism 32 mm
A
110
5
30°
Ø50
60
55
Fig. 4
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6
Fig. 5 shows the elevation and end view of a block.
Draw:
[4]
(b) a plan view;
[7]
(c) an auxiliary view on X1 Y1, looking in the direction of arrow A.
[9]
Fig. 5
X1
X
A
60°
20
Y1
60°
85
Y
(a) the given views;
24
22
10
15
50
18
10
14
14
6
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Fig. 6 shows three views of a bracket drawn in first angle projection.
Draw an isometric view of the bracket with corner C the lowest point in the view.
Do not use an isometric scale or indicate any hidden details.
R16
Ø16
[20]
46
C
C1
30
48
R8
12
120
Ø2
4
Fig. 6
41
12
10
30
15
15
12
12
60
7
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8
Fig. 7 shows the plan and elevation of a triangular laminate ABC.
(a) Ignoring the thickness of the plate:
(i)
draw the given views;
[6]
(ii)
determine and state the true lengths of the three sides of the laminate;
[6]
(iii)
draw the true shape of the laminate ABC.
[3]
(b) Construct the largest circle that could be drawn within the true shape ABC.
[4]
(c) Measure and state the diameter of this circle.
[1]
b1
60
c1
a1
10
30°
'Y'
15
'X'
b
50
45°
65
8
a
c
75
Fig. 7
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