SACRED HEART CANOSSIAN COLLEGE .hk



SACRED HEART CANOSSIAN COLLEGE

MATHEMATICS COMMON TEST 3, 2012-2013

Time allowed: 1 h Secondary 1 ___ Group ___ No. _____

Total marks: 80 Name: ___________________________

Score: ________

This paper consists of three sections, A , B and C. Answer all questions in each section.

Section A (16 marks)

Answer all EIGHT questions in this section. For each question choose only one answer. In the following table, put a ' ( ' in the box corresponding to the right answer. Each question carries 2 marks.

| |

(ii) Name the solid formed in (a)(i). (1 mark)

(b) Reflect shape V along [pic] and then reflect along [pic]. Draw the final image of shape V after transformations. Label the final image W (2 marks)

Secondary 1 ___ Group _____ Name _____________________________ No. ____

Section C ( 26 marks)

Attempt BOTH questions in this section and show the working steps clearly in the space provided.

1. (a) Figure (I) shows a rectangular open box made of metal 3 cm thick with

dimensions 50 cm ( 26 cm ( 10 cm.

(i) Find the capacity of the box. (2 marks)

(ii) Find the volume of the metal used to make the box. (2 marks)

Secondary 1 ___ Group _____ Name _____________________________ No. ____

(b) The figure shows a prism with uniform cross-section ABCDE.

(i) Find the area of the uniform cross-section ABCDE. (3 marks)

(ii) Find the volume of the prism. (2 marks)

(iii) Find the total surface area of the prism. (3 marks)

(vi) How many vertices and edges are there in the solid? (1 mark)

There are vertices and edges.

Secondary 1 ___ Group _____ Name _____________________________ No. ____

2. (a) The figure shows shape D, a straight line PQ and a point R .

(i) Describe a single transformation that map shape D onto shape E. (2 mark)

(ii) Translate D downwards by 4 units and reflect it about PQ.

Draw and label the image D’. (2 marks)

(ii) Rotate D through 180∘clockwise about the point R and reflect it about PQ. Draw and label the image D’’ (2 marks)

(b) A’B’C’D’E’F’G’H’I’ is the image of a figure ABCDEFGHI after enlargement.

A’B’ is given in the figure below.

(i) Complete the image A’B’C’D’E’F’G’H’I’. (2 marks)

[pic]

(ii) Find the scale factor of the enlargement drawn. (1 mark)

The scale factor is _________.

Secondary 1 ___ Group _____ Name _____________________________ No. ____

(c) The figure below shows a quadrilateral ABCD and a circle with centre O.

(i) Reflect quadrilateral ABCD about AC. Draw and label the image A’B’C’D’.

(1 marks)

(ii) Translate the image A’B’C’D’ upwards by 1 unit and to the right by 2 units and finally rotate it anti-clockwise about O through 90°.

Draw and label the image A’’B’’C’’D’’. (2 marks)

(iii) Draw a straight line L on the figure such that L is the axis of symmetry of both the quadrilateral A’’B’’C’’D’’and the circle. (1 mark)

End of Paper

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[pic]

120(

x

$10

$20

$50

$100

50(

The distribution of red packets received by Ann

The temperature (in °C) and the sales of ice-cream of a store

120

100

80

60

Sales

20

0

10

15

25

30

Temperature (°C)

y

x

C (-2, 3)

B (x, y)

D (0, -3)

A (7, -3)

A

B

4

B

C

D

J

E

I

F

6

2

3

A

H

G

4

4

C

D

B

A

[pic]

[pic]

V

[pic]

Figure (I)

A

B

D

C

E

6 cm

4 cm

2 cm

1 cm

3 cm

5 cm

R

E

D

I

H

G

F

E

D

C

B’

A’

B

A

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