Ujian Matematik Tambahan

Sekolah Menengah Sains Muzaffar Syah Melaka 75450 Air Keroh Melaka Ujian 2 2007 Additional Mathematics Form 4 Time : 75 Minuets INFORMATION FOR CANDIDATES 1 This question booklet consists of three parts, Section A and Section B. and Section C Answer All Question in Section A and B and two Question of section C 2 Give only one answer/ solution to each question. 3 Show your working . It may help you to get marks. 4 The figures/diagrams given in a problem in this question booklet would provide useful information to solve the problem. However, it might not be drawn to scale. 5 Write the answer in the answer sheets provided. 6 All solution methods must be clearly shown. You may loose marks if important working steps are not properly shown. 7 The marks for each question or part-question are shown in brackets. 8 You may use a non- programmable scientific calculator.

The following formulae may be helpful in answering the questions. The symbols given are the ones commonly used .

1

x =

∑x
N

6 Arc length, s = r θ 7. Area of sector , A=
1 2 r θ 2

2

x = σ =

∑ fx ∑f ∑(x − x )
N
2

8. =

y=uv,

3

∑x
N

2

dy dv du =u +v dx dx dx

−x

2

9
2

4

σ=

∑ f ( x − x) ∑f

=

∑ fx ∑f

2

−x

2

du dv v −u u y = , dx = dx 2 dx , v dy v dy dy du = × dx du dx

10

5

1  2N−F M = L+ C  fm     

Section A

1

Answer all questions The mean of x+ 3, 2x – 5, x + 7, x and 3x + 7, is 12 . Find (a) the value of x (b) median [ 4 marks ]

Answer : (a) ……………………… (b) ………………………

2. A set of examination marks a1 , a2, a 3, a 4, a5, a6, has a mean of 5 and standard deviation of 1.5 Find (i) the sum of the marks, ∑ a , (ii) the sum of the squares of the marks,

∑a

2

[ 3 marks ]

Answer ……………………... 3. The mean of a set of four positive integers is 6. When a number y is taken out from the set, the mean becomes 5. Find the value of y. [ 3 marks ]

Answer ……………………... 4. The mean of the set of numbers