Past Paper

Pages: 25 (2048 words) Published: April 18, 2013
NSS MATHEMATICS IN ACTION
HONG KONG DIPLOMA OF SECONDARY EDUCATION EXAMINATION
MOCK PAPER

MATHEMATICS Compulsory Part
Paper 2
Time allowed: 1 hour 15 minutes

1.

Read carefully the instructions on the Answer Sheet and insert the information required in the spaces provided.

2.

There are 45 questions in this book. All questions carry equal marks.

3.

Answer ALL Questions. You are advised to use an HB pencil to mark all the answers on the Answer Sheet. Wrong marks must be completely erased with a clean rubber.

4.

You should mark only ONE answer for each question. If you mark more than one answer, you will receive NO MARKS for that question.

5.

No marks will be deducted for wrong answers.

NSS MIA 2012 Mock Paper (Compulsory Part) - Paper 2

There are 30 questions in Section A and
15 questions in Section B. The diagrams
in this paper are not necessarily drawn to
scale. Choose the best answer for each
question.
Section A
1.

If n is an integer, then

33 n
=
9 n 1

6.

Which of the following statements
about the equation 3( x  2) 2  6 x  2
is true?
A. It has distinct, rational real roots.
B. It has distinct, irrational real roots.
C. It has equal real roots.
D. It has no real roots.

7.

It is known that a polynomial g(x) is
divisible by 2x + 3. Which of the
following must be a factor of g(4x – 3)?

2 n 1

A.
B.
C.
D.
2.

x 2  y 2  2 xy  4 

A.
B.
C.
D.
3.

A.
B.
C.
D.

8.

1.
5.
8049.
8053.

a = 3, b = 2 .
a = 3, b = 3 .
a = 2, b = 2 .
a = 2, b = 3 .

B.
C.
D.
9.

Let p be a constant. Solve the equation
( x  p )( x  p  1)  x  p .
A.
B.
C.
D.

NSS MIA 2012 Mock Paper (Compulsory Part) - Paper 2

–2–

1.
1
.
6
–1.
–2.

Peter sold a vase to Mary at a profit of
15 %. Later, Mary sold the vase to
David for \$ 6400 and gained \$ 420.
What was the cost price of the vase for
Peter?
A.
B.
C.
D.

x  p
x  p 1
x   p or x  p  1
x   p or x  p

2x  3
4x  3
8x  3
8x  9

If x is an integer satisfying
4x  1
, then the
2(1  x)  6 x and x 
2
greatest value of x is
A.

If 5a  2b  a  4b  11 , then
A.
B.
C.
D.

5.

( x  y  2)( x  y  2)
( x  y  2)( x  y  2)
( x  y  2)( x  y  2)
( x  y  2)( x  y  2)

If f ( x)  x 2012  2012 x  2012 , then
2 f (1)  3 =
A.
B.
C.
D.

4.

1
 .
3
3n 1 .
3n  2 .
35 n  2 .

\$ 5200
\$ 5970
\$ 6877
\$ 7780

10. The scale of a map is 1: 250. If the area
of a playground on the map is 20 cm2,
what is the actual area of the
playground?

A.
B.
C.
D.
11.

5000 cm2
125 m2
625 m2
5000 m2

A.
B.
C.
D.

Let an be the nth term of a sequence.
If a1  2 , a2  1 and
a n  2  4a n 1  a n for any positive
integer n, then a5 =
A.
B.
C.
D.

14. The circumference of a circle is
measured to be 10 cm, correct to the
nearest 0.5 cm. Which of the following
is a possible area of the circle?

15.

86.
66.
46.
26.

In the figure, CDE and BDF are straight
lines. If DF = DE and AB // CE, find
ABD.

12. It is given that s varies jointly as t2 and
u. If t is increased by 15% and u is
decreased by 20%, then s

A.
B.
C.
D.

is decreased by 8 %.
is decreased by 5.8 %.
is increased by 5.8 %.
is increased by 8 %.

13. If z  y and y 2 

34.2 cm2
8.55 cm2
8.14 cm2
7.11 cm2

A.
B.
C.
D.

76
104
116
128

16. In the figure, a =

1
, which of the
x

following is true?

III.

z2  y2
1
x
y
2
3xz is a non-zero constant.

A.
B.
C.
D.

I and II only
I and III only
II and III only
I, II and III

I.
II.

NSS MIA 2012 Mock Paper (Compulsory Part) - Paper 2

A.
B.
C.
D.

–3–

40.
45.
50.
55.

17. In the figure, ABCD is a rhombus and
FBC is a triangle. If FA = 2 cm and
BC = 3 cm,...