Add Maths - Ujian Setara 2, SMK Tinggi Kajang

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3472/1/2                                                      Name : ……………………………...
US2
17 Aug 2010                                                   Class: Form 4 ……………………..

UJIAN SETARA 2

Paper 1 & 2

One hour

SEKOLAH MENENGAH KEBANGSAAN TINGGI KAJANG

INFORMATION FOR CANDIDATES:

1.   This paper consists of two parts, namely Paper 1 and Paper
2.   Answer all questions in both parts in this booklet.
3.   The diagrams shown in the questions are not drawn to scale unless stated.
4.   You may use a non-programmable scientific calculator.
5.   The following formulae may be helpful in answering the questions. The symbols given are
the ones commonly used.

 b  b 2  4ac                                         log c b
5.1. x                                           5.8. log a b 
2a                                                log c a

5.2. a m  a n  a mn                                     a     b       c
5.9.              
sin A sin B   sin C
5.3. a m ÷ a n = a m-n
5.10. a 2 = b 2 + c 2 – 2bc cos A
5.4. ( a m ) n = a m n
5.11. Area of triangle
5.5. loga mn = loga m + loga n
1
= ab sin C
m                                              2
5.6. loga     = loga m – loga n
n
5.7. loga mn = n loga m

This question paper consist of 7 printed pages

Prepared by: …………………………..                                     Verified by: ………………………...
2

Paper 1

Jawab semua soalan.

1.   The following information refers to set K and set L.
Maklumat berikut adalah berkaitan dengan set K dan set L.

K = { -1, 0, 1, 2 }
L = { 2. 3. 6 }

The relation between set K and set L is defined by the following set of ordered pairs
{ (-1, 3), (0, 2), (1, 3), (2, 6) }.
Hubungan di antara set K dan set L ditakrifkan oleh set pasangan tertib yang berikut
{ (-1, 3), (0, 2), (1, 3), (2, 6) }.

State
Nyatakan

(a)     the image of 1,
imej bagi 1,
(b)     the type of the relation.                                                      [2 marks]
jenist bagi hubungan tersebut.

(b) ……...……………........

1
2.   Given     and –2 are the roots of a quadratic equation. Write the quadratic equation in
2
general form.                                                                [2 marks]
dalam bentuk am.

3

3.   The quadratic equation x2 – 5x+ p = 0 has two distinctive different roots. Find the range
of value p.
Persamaan kuadratik x2 – 5x + p = 0 mempunyai dua punca berlainan yang nyata. Cari julat nilai p.

[2 marks]

4.   Diagram 1 shows the graph of function y = (x – p)2 + 5.
Rajah 1 menunjukkan graf fungsi y = (x – p)2 + 5.                                         [3 marks]
State                                                                 y
Nyatakan
(a)     the value of p,
nilai p.
(b)     the equation of axis of symmetry.
persamaan bagi paksi simetri,
x
(c)     the maximum value.                                        0                4
nilai maksimum.

Answer : (a) p = …………………...

(b) ……...…………….......

(c) ……………………….

5.   Solve the equation.
Selesaikan persamaan

32x + 1 = 92x                                                                             [3 marks]

4

6.   Given log4 x – log2 (y + 2) = 1. Express y in terms of x.
Diberi log4 x – log2 (y + 2) = 1. Nyatakan y dalam sebutan x .                 [4 marks]

7.   Find the range of values of x for which x(2x – 7)  7 – 2x.                    [4 marks]
Cari julat nilai x bagi x(2x – 7)  7 – 2x.

5

Paper 2

Jawab semua soalan

1.   Solve the simultaneous equations x + 2y = 3 and x2 + y2 + xy = 7. Give the answers
correct to three decimal places.
Selesakan persamaan serentak x + 2y = 3 dan x2 + y2 + xy = 7. Beri jawapan betul kepada tiga angka
perpuluhan.
[5 marks]
6

2.   Given that f(x) = 2x + 3 and g(x) = x2 + 2x + 1.
Diberi f(x) = 2x + 3 dan g(x) = x2 + 2x + 1.
Find,
Cari,
(a)     f -1(x)                                    [1 mark]
-1
(b)     f g(x)                                     [2 marks]
(c)     h(x) such that fh(x) = 2x – 5.             [2 marks]
7

3.   Diagram 2 shows a quadrilateral ABCD.
A        10 cm   B

(a)   Calculate,                                      52o

(i)    Length of BC.

(ii)  BCD                  [5 marks]          29 cm

(b)   Point C’ lies on BC such that                                   98o
DC = DC’.                                                           D
7.6cm
(i) Sketch the triangle BC’D.                               C

(ii)   Calculate the area, in cm2, triangle BC’D.               DIAGRAM 2
[5 marks]

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