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OLE-OLE SIFUBY Cik Nur Amaliana

1. Solve the following simultaneous equation

2. Given that f : x and g : x , find

a) ()b) ()c) () such that ()

3. solve the following equationsa)

b) ( ) 4. A set of data consists of four numbers. Given that and . Express the

variance in terms of k

5. A set of positive numbers 1, m1 , 6 and 8 is arranged in ascending order. Find the value of m ifa) The mode is 1

b) The mean is 46. It is given that the equation of a curve is . Find

a) The turning point of the curveb) The value of x if

7. If the line doe not meet the curve ( )( ), find the range of valuesof k

8. () has a minimum value of, where t and h are constant, bycompleting the square show that

9. The diagram shows a triangle PQRa) Calculate the length in cm of PR

b) A quadrilateral PQRS is now formed so that PR is a diagonal,PRS=48o and PS=16cm. Calculate the two possible values of

PSR

c) By using the acute PSR from (b),calculatei. The length in cm of RSii. The area of quadrilateral PQRS

10.The table shows the price indices and percentage of usage of four items P, Q, R and S, which arethe main ingredients in the production of a type of biscuits

a) Calculatei. The price of item P in the year 2006 if the price in the year 2008 was RM 32.ii. The price index of item S in the year 2008 based on the year 2004 if its price index in

the year 2006 based on the year 2004 is 140.

b) The composite index of the cost of biscuits production for the year 2008 based on the year2006 is 124.5. calculate

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i. The value of xii. The price of box of biscuits in the year 2008 if the corresponding price in the year

2006 is RM 14

11.The diagram shows a quadrilateral PQRSa) Calculate

i. The length of PRii. PRQ

b) point P lies on PR such that PQ=PQi. Sketch PQRii. Calculate the area of PQR

12.The table shows the price indices for four ingredients A, B, C and D, used in making biscuits ofthe particular kind. The diagram shows a pie chart which represents the relative amount of the

ingredient A, B, C and D used in making these biscuits.

a)

Find the value of x, y and zb) i. calculate the composite index for the cost of making these biscuits in the year 2004 based onthe yea 2000

ii.hence calculate the corresponding cost of making these biscuits in the year 2000 if the cost in

the year 2004 as RM 28.50

c) the cost of making these biscuits is expected to increase by 30% from the year 2004 to the year2008. Find the expected composite index for the year 2008 based on the year 2000.

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