UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS
General Certificate of Education Ordinary Level
7040/01
GEOMETRICAL AND MECHANICAL DRAWING
Paper 1
October/November 2006
2 hours 40 minutes
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 7 printed pages, 1 blank page.
IB06 11_7040_01/2RP
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2
Section 1 Plane Geometry
Answer not more than three questions from this section.
1
2
(a) Inscribe a regular pentagon within a circle of 70 mm diameter.
[10]
(b) Construct a square equal in area to the constructed pentagon.
[9]
(c) Measure and state the size of this square.
[1]
Fig. 1 shows the incomplete view of an impeller for an air compressor.
(a) Draw the given view and construct the involute curves from the 50 mm base circle
diameter.
(b) Construct a tangent to the involute at point P.
[14]
[6]
involute curve generated
from the 50 dia. base circle
Ø2
5
P
Ø50
Ø1
44
Fig. 1
3
A circle of 50 mm diameter rolls without slipping, around the inside of a circle 300 mm in diameter.
Plot the locus of a point on the periphery of the smaller circle, when this point has completed one
revolution.
Start your construction at the common point of contact.
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[20]
3
Section 2 Solid Geometry
Answer not more three questions from this section.
4
Fig. 2 shows, in first angle projection, the plan and elevation of a cast bracket.
(a) Draw the given views.
[4]
(b) Draw an end elevation.
[6]
[10]
10
35
40
50
65
Ø20
(c) Project an auxiliary view on X1Y1 looking in the direction of arrow A.
25
15
20
X
1
60°
10
40
15
Y
1
90
A
Fig. 2
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4
5
Fig. 3 shows two views of an aluminium bracket drawn in third angle projection.
Draw an isometric view of the bracket with the corner C in the foreground of the view.
Do not use an isometric scale and do not show any hidden details.
15
30
10
[20]
15
30
15
5
R
5
50
5
30
Ø6
40
Ø
8
8
R
12
C'
40
C
40
30
Fig. 3
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12
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30
5
6
Fig. 4 shows the plan and incomplete elevation of a cylinder intersected by a square duct.
(a) Draw the given plan.
[4]
(b) Complete the elevation showing the curves of intersection between the cylinder and the
square duct.
[8]
(c) Construct the development of the square duct.
[8]
110
55
35
30°
0
Ø8
90
Fig. 4
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6
7
Fig. 5 shows the projections in elevation and plan of a straight line AB.
(a) Draw the given views.
[4]
(b) Determine the true length of AB.
[4]
(c) Determine the true inclination of the line AB to the vertical plane.
[6]
(d) Determine the true angle of the line AB to the horizontal plane.
[6]
Show your answers clearly, in an appropriate place on your solution.
55
B'
45°
10
A'
Y
15
X
B
30°
A
Fig. 5
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7
8
Fig. 6 shows the profile of a right circular cone.
The cone is cut along the plane X–X which lies parallel to the generator.
Draw full size:
(a) the elevation shown in Fig. 6, but with the portion to the left of the line X–X removed;
[1]
(b) an end elevation looking in the direction of arrow E;
[7]
(c) a plan view looking in the direction of arrow P;
[6]
(d) the true shape of the cut face.
[6]
X
P
X
100
E
15
Ø100
Fig. 6
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8
BLANK PAGE
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.
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.
7040/01/O/N/06
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