assessment 1(sat)

8/7/2019 Assessment 1(Sat)

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Sri Sarjana Tuition/AMF5 2011/Assessment 1(Jan/ Feb [Sat])

Section A ± Answer all questions [30 mark s]

1. The first thr ee term of an arithmetic progr ession ar e 52 , mm and 25 m . Find

(a) the value of m,

(b) the sum of the first 10 terms of the progr ession.[4 mark s]

2. In a geometric progr ession, the first and second terms ar e 9 and 3 r espectively. Find(a) the common ratio,

(b) the sum to infinityof the progr ession.

[3 mark s]

3. Given a r ecurring number n

m!

y

32.0 . Find the value of m and of n.

[3 mark s]

4. The variables x and y ar e r elated by the equation xapy ! , wher e a and p ar e constants. Figur e 1 shows

the straight line obtained by plotting y4log against x .

Figure 1

Find the value of a and of p.

[4 mark s]

5. It is known that x and y ar e r elated by the equationx

k hxy !

2 , wher e h and k ar e constants.

When a graph of xy is plotted against x3, a straight line that passes through the points (0, 2) and (4,6) is

obtained.Calculate the value of h and of k .

[4 mark s]

y4log

xO

3) (2,

)5,6(



3

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Section B ± Answer all questions [30 mark s]

8. U se graph paper to answer this question.

Table 1 shows the values of two variables, x and y, obtained from an experiment. The variables x and y

ar e r elated by the equation 1!x

k

y

h, wher e h and k ar e constants.

x 1.5 2.0 2.5 4.0 5.0 10.0

y 0.65 0.83 1.00 1.43 1.67 2.50

Table 1

(a) Ploty

1against

x

1, by using a scale of 2 cm to 0.1 units on the

x

1-axis and 2 cm to 0.2 unit on the

y1 -axis. Hence, draw the line of best fit.

[4 mark s]

(b) Use the graph in (a) to find

(i) the values of h and k ,

(ii) the value of y when x = 8.

[6 mark s]

9.

Figure

2

In Figur e 2, BCD is a straight line. Given oABD 55!� , AB = 6 cm, BC = 12 cm and AD = 21 cm.

Calculate

(a) the length, in cm, of line AC , [2 mark s]

(b) �BDA, [4 mark s]

(c) the ar ea, in cm2, of (ACD, [4 mark s]

A

B

C

D

cm 12

cm 21

cm 6o

55



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10. Table 2 shows the prices and the price indices of four types of items used in the production of a certainplastic.

ItemPrice in the year (RM)

Price index for the year 2004

based on the year 2002 Price index for the year 2006

based on the year 2004

2002 2004 2006

P 16 24 e 150 125

Q 32 c 70.4 137.5 d

R b 45 54 180 120

S 8 12 15 a 125

Table 2

Find

(a) the values of a,b

, c, d ande, [5

mark

s]

(b) the price index of item Q for the year 2006 based on the year 2002, [2 mark s]

(c) the composite index of the items used in the year 2004 based on the year 2002 if the use of items P

Q, R and S ar e in the ratio 2 : 1 : 3 : 4. [3 mark s]

END OF QUESTION PAPER

assessment 1(sat)

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