Additional Materials: A2 Drawing Paper (1 sheet)
Standard Drawing Equipment
READ THESE INSTRUCTIONS FIRST
7040/01
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.
IB06 11_7040_01/2RP
 UCLES 2006
This document consists of 7 printed pages, 1 blank page.
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Section 1 Plane Geometry
Answer not more than three questions from this section.
1 (a) Inscribe a regular pentagon within a circle of 70 mm diameter.
(b) Construct a square equal in area to the constructed pentagon.
(c) Measure and state the size of this square.
2 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.
[10]
[9]
[1]
[14]
(b) Construct a tangent to the involute at point P . [6]
Ø25
Ø50
Ø14
4 involute curve generated from the 50 dia. base circle
P
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. [20]
© UCLES 2006 7040/01/O/N/06

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.
(b) Draw an end elevation.
[4]
[6]
(c) Project an auxiliary view on X
1
Y
1
looking in the direction of arrow A . [10]
Y
1
25 15
90
20
X
1
60°
© UCLES 2006
Fig. 2
7040/01/O/N/06
A
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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.
10 15 15
[20]
R30
5 5
R30
Ø40
40
C '
40
Fig. 3
Ø6
C
30
12 12
30
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5
6 Fig. 4 shows the plan and incomplete elevation of a cylinder intersected by a square duct.
(a) Draw the given plan.
(b) Complete the elevation showing the curves of intersection between the cylinder and the square duct.
(c) Construct the development of the square duct.
55
[4]
[8]
[8]
© UCLES 2006
30°
Ø80
90
Fig. 4
7040/01/O/N/06 [Turn over

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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.
B'
X
A'
45°
30°
B
A
Fig. 5
Y
© UCLES 2006 7040/01/O/N/06

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]
P
X
E
© UCLES 2006
15
X
Ø100
Fig. 6
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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.
7040/01/O/N/06