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.

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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.

© Pearson Education Asia Limited

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.

© Pearson Education Asia Limited

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,...