Program add maths

8/13/2019 Program add maths

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1 | L A S T T O U C H I N G P A P E R 2

PROGRAM LAST TOUCHINGADDITIONAL MATHEMATICS

PAPER 2

SECTION A-SIMULTANEOUS EQUATIONTOPIC/

ITEM

SBP-KEMENTERIAN PELAJARAN MALAYSIA TOPIC/

ITEM

NEGERI JOHOR

Sim.

Equation

No. 1

Solve the simultaneous equation and give your answers

correct to three decimal places.

052

32

yxy

yx

[5 marks]

Sim.

Equa

No. 1

Solve the equation simultaneous equations. Give your answers

correct to three decimal places.

323

12

22

qpp

qp

[5 marks]

TOPIC/

ITEM

NEGERI TERENGGANU TOPIC/

ITEM

NEGERI KELANTAN

Sim.

Equa

No. 1

Solve the following simultaneous equation

044

0123

2

xyx

yx

[5 marks]

Sim.

Equ

No.1

Solve the simultaneous equations

012

1 mn and nm 292 . Give your answers correct to three

decimal places.

[5 marks]

TOPIC/

ITEM

NEGERI PAHANG TOPIC/

ITEM

RAMALAN

Sim.

Equa

No. 1

Solve the following simultaneous equations, give your

answers correct to three decimal places.

5312

yxyx

[5 marks]

Sim.

Equa

No. 1

Solve the simultaneous equations23 2 3 6 7m n m mn .

Give your answer correct to three decimal places.


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SECTION A- STATISTICS

TOPIC/

ITEM


ITEM

NEGERI JOHOR

Statistics

No.5

Table shows the frequency distribution of the age of a group

of tourists who visited a National Museum.

Age Frequency5 - 9 3

10 - 14 6

15 - 19 8

2024 15

2529 m

30 - 34 1

a. It is given that the first quartile age of the distribution

is 15.125. Calculate the value of m .

[3 marks]

b. By using scale 1 cm to 2 units on the x-axis and 2 cm to

2 units on the y-axis, draw the histogram. Hence, find themodal age.

[3 marks]

Stat.

No. 4

Table shows the distribution of the heights of plants in a garden.

Height (cm) Number of Plants

20 - 29 430 - 39 3

40 - 49 a

50 - 59 7

60 - 69 5

70 - 79 1

Given the median is 47.5, find the value of a .

[3 marks]

Hence, find the variance of the distribution

[3 marks]

TOPIC/

ITEM


ITEM

NEGERI KELANTAN

Stat

No. 5Given that set },,,,,,{ 7654321 xxxxxxxP . The sum of the

numbers is 140 and the sum of the squares of the numbers is

3080.

a. Find the mean and the variance for the 7 numbers.

b. When k is added to set P, the mean increased by 2.

Findi. The value of k

ii. The standard deviation of the set of 8 numbers

Stat

No. 5

Diagram is a histogram which represent the distribution of the times

taken by a group of 45 students to travel to school.

Calculate


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a. The value of k

[1 marks]

b. The range of the times taken.

[1 marks]

c. The standard deviation of the distribution

[4 marks]TOPIC/

ITEM


ITEM

RAMALAN

Stat

No. 4

Table shows the frequency distribution of the Additional

Mathematics marks of a group of students.

Marks Number of Students

01 - 10 2

11 - 20 3

21 - 30 5

31 - 40 10

41 - 50 k51 - 60 2

a. Given that the median mark is 34.5

i. Calculate the value of k

ii.Find the median mark if the mark of each student is

increased by 8.

[4 marks]

b. Given that k = 4, draw a histogram to represent the

frequency distribution of the mark by using a scale of 2

cm to 10 marks on the horizontal axis and 2 cm to 1student on the vertical axis.

Hence, find the modal mark.

[3 marks]

Stat

No.10

The age distribution of a group of 200 people is given in the

table below.

Marks Number of

candidates

5 - 9 4

10 - 14 12

15 - 19 22

20 - 24 3325 - 29 62

30 - 34 43

3539 18

40 - 44 6

a. Calculate the mean age

b. Plot an ogive and estimate the

i. the median

ii. the interquartile range for this data


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SECTION B - VECTORS

TOPIC/

ITEM


ITEM

NEGERI JOHOR

Vectors

No.6

Diagram shows two triangles, OAB and OMW . Point M lies

on AO . Line AB line MW intersect at point T .

It is given that OAOM3

1 , ABAT

4

3 , aOA 12 and

bOB 4 a. Express in terms of a and b.

i. AT

ii. MT

[3 marks]b. Given that MThMW and OBkOW where h and

k are constants. Find the value of h and of k .

[4 marks]

Vector

No.10

Diagram shows triangle OPQ . The point T lies on QP and the point S

lies on OP. The straight line OT intersects the straight line QS at the

point R.

It is given that OPOS2

1 , QPQT

3

1 , pOP and qOQ .

a. Express in terms of p and q

i. OT

ii. QS

iii. ST [4 marks]

b. Given that OTmOR and QSnQR , where m and n are

constants, find the value of m and of n .

[6 marks]


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TOPIC/

ITEM


ITEM

NEGERI KELANTAN

Vectors

No. 8

Diagram shows a trapezium OPQR where OQ and PR

intersects at T . OR is parallel to PQ such that PQOR 2 .

Given that xOR 6 and yOQ 3 .

a. Express in terms of x and y

i. QR

ii. RP

iii. OP [4 marks]

b. If PRTR and OQTQ where and are

constants, express TR in termsi. , x and y

ii. , x and yHence

iii. Find the value of and

[6 marks]

Vector

No. 6

Diagram shows triangle OPQ . The point S lies on OQ and PR . The

straight line PR intersects the straight line OQ at the point S.


i. RP

ii. OQ

[2 marks]

b. Using OQhOS and PRkPS , where h and k are

constants, find the value of h and of k .

[5 marks]


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TOPIC/

ITEM


ITEM

RAMALAN

Vectors

No. 2

In diagram, ABCD is a quadrilateral. BFC and DEF are

straight lines.

Given that xBA 24 , yBF 10 , yxCD 3030 ,

BCBF 4

1

and DFDE 5

2

.

a. Express in terms of x and/ or y

i. AC

ii. DF [3 marks]

b. Show that the points A, E and C are collinear

[3 marks]

Vectors

No. 8

Diagram shows a rectangle ABCD. AEC and BED are straight

lines.

Given that 2AB x , 4BC y , AE : EC = 1 : 2 and BD 3BE.


i. AC ii. AE

iii. BD

b. Show that AB and DC are parallel.

c. If AB = 10 unit and x = 2 unit, find the area of

triangle ABD.

A B

CD

E


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SECTION BLINEAR LAW

TOPIC/

ITEM


ITEM

NEGERI JOHOR

Linear

Law

No. 8

Table shows the value of two variables, x and y obtained

from an experiment. Variables x and y are related by the

equation kxhy )1( , where h and k are constants.x 1 2 3 4 5 6

y 5 6.5 7.8 8.9 10 10.9

a. Based on table, construct a table for the values of

y10log and )1(log10 x .

[2 marks]

b. Plot y10log against )1(log10 x by using scale of 2 cm

to 0.1 unit on both axes. Hence, draw the line of best fit.

[4 marks]

c. Use the graph in 8(b) to find the value ofi. h

ii. k

[4 marks]

Linear

law

No. 8

Table shows the values of two variables, x and y, obtained from an

experiment. Variables x and y are related by the equation

bxaxy 22 , where a and b are constants.

x 2 3 4 5 6 7

y 1 6 14.5 25 39 54

a. Plotx

y against x, using a scale of 2 cm to 1 unit on both axes.

Hence draw the line of best fit.

[4 marks]

b. Use your graph in 8(a), to find the value of

i. aii. b

iii. Y when x = 1.2

[6 marks]

TOPIC/

ITEM


ITEM

NEGERI KELANTAN

Linear

Law

No. 7

Table shows the values of two variables, x and y , obtained from

an experiment. Variables x and y are related by the equation

h

kxhxy

2

3 , where h and k are constants.

x 2 3 4 5 5.5 6

y 8 42 11.4 227.5 308 408

a. Plotx

y against

2x , using a scale of 2 cm to 5 units on

x-axis and 2 cm to 10 units on y-axis. Hence, draw the

Linear

Law

No. 8

Table shows the values of two variables, x and y , obtained from an

experiment. Variables x and y are related by the equation

qxpy , where p and q are constants .

x 1.0 1.5 2.0 2.5 3.0 3.5

y 5.7 6.5 7.3 8.0 8.7 9.3

a. Plot2y against x, using a scale of 2 cm to 1 unit on the x- axis

and 1 cm to 10 units on the y-axis. Hence, draw the line of best fit.

[5 marks]


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line of best fit.

[5 marks]

b. Use your graph in 7(a) to find the value of

i. h

ii. k

iii. y when x = 4.5[5 marks]

b. Use your graph in 8(a) to find the value of

i. p

ii. q

iii. x when y = 7.0

[5 marks]

TOPIC/

ITEM


ITEM

RAMALAN

Linear

Law

No. 7

Table shows the values of two variables, x and y, obtained

from an experiment. Variables x and y are related by the

equationq

py

x 2

, where p and q are constants. One of

the values of y is incorrectly recorded.

x -1 0 1 2 3 4y 8.4 10.1 12.1 13.2 17.4 20.9

a. Plot y10log against ( x+ 2), using a scale of 2 cm to unit

on the (x + 2)-axis and 2 cm to 0.05 unit on the y10log -

axis.

[Start the y10log -axis with the value 0.8]

b. Use your graph from 7(a), find

i. The correct value of y that is wrongly recodedii.The values of p and q.

[6 marks]

Linear

Law

No. 7

Table shows the values of two variables,xand y, obtained from

an experiment. Variables x and y are related by the equation

BxA

y 2

, whereA and B are constants.

x 010 025 050 075 100 125

y 904 1535 2954 4834 71.74 9975

a. Plot y againstx, using a scale of 2 cm to 0 2 unit on the

x-axis and 2 cm to 1 units on the y -axis. Hence, draw

the line of best fit.

b. Use your graph from (a)to find the value of

i. Aii. B


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SECTION CNUMBER INDEX

TOPIC/

ITEM


ITEM

NEGERI JOHOR

Number

Index

13

Table shows the price indices of four commodities A, B, C

and D used in the manufacturing of a certain product.

Diagram shows a bar chart which represents the relativequantity of usage of four commodities A, B, C and D .

Commodity Price index for the year 2008

based on the year 2005

A 115

B 150

C x

D 130

a. Calculate

i. The price of commodity B in the year 2008 if

its price in the year 2005 is RM32.

ii. The price index of commodity D in the year

2008 based on the year 2003 if its price index

in the year 2005 based on the year 2003 is 110.

b. The composite index for the cost of manufacture of

the product for the year 2008 based on the year 2005is 122.

Calculate

i. The value of x

ii. The price of the product in the year 2005 if the

corresponding price in the year 2008 is RM305.

Numb.

Index

No. 13

Table shows the price indices in the year 2009 based on the year

2007 of four items A, B, C and D. Used in the production of a cake.

Item Price index in theyear 2009 based

on the year 2007

Weightage

A 130 1

B 140 3

C 115 2n

D 120 n

a. Given the price of A is RM2.60 in the year 2009, calculate its price

in 2007.

[2 marks]

b. Given that the composite index for the year 2009 based on theyear 2007 is 125, find the value of n.

[2 marks]

c. Find the price of the cake in the year 2007 if its corresponding price

in the year 2009 is RM46.00.

[3 marks]

d. Given that the price of item D is estimated to increase by 10 % from

the year 2009 to 2010, while the other items remain unchanged.

Calculate the composite index of the cake for the year 2010 based

on the year 2007.

[3 marks]


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TOPIC/

ITEM


ITEM

NEGERI KELANTAN

Num.

Index

No. 13

Table shows the prices and the price indices for four ingredients

A, B, C and D. Used in baking a particular kind of cake . Diagram

is a bar chart which represents the relative amount of the

ingredients A, B, C and D, used in baking these cakes.

Ingredients Price per Kg

(RM)

Price index for the year

2007 based on the year

20052005 2007

A x 8.00 160

B 2.00 2.50 125

C 6.00 y 115

D 7.00 8.40 z

Num.

Index

No. 13

Table shows the prices, the price indices and percentages of usage of

four items A, B, C and D, which are the main ingredients in the

manufacturing of a types of biscuits.

Item Price per unit(RM)

Price index for theyear 2007 based on

the year 2005

Percentageof usage

(%)2005 2007

A p 45 125 7m

B 55 q 120 8m

C 40 42 105 28

D 50 47 r 9m

a. Find the value of p, of q and r

[3 marks]

b. State the value of m. Hence, calculate the composite index for the

cost of manufacturing the biscuits in the year 2007 based on theyear 2005.

[3 marks]

c. Calculate the price of a box of biscuits in the year 2005 if the

corresponding price in the year 2007 is RM25.70.

[2 marks]

d. The cost of manufacturing the biscuits is expected to increase by

20 % from the year 2007 to the year 2009 . Find the expected

composite index for the year 2009 based on the year 2005.

[2 marks]


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a. Find the value of x, y and z.

[3 marks]

b. i. calculate the composite index for the cost of baking these

cakes in the year 2007 based on the year 2005

ii.hence, calculate the corresponding cost of baking these

cakes in the year 2005 if the cost in year 2007 was RM4600.[5 marks]

c. The cost of baking these cakes is expected to increase by 40

% from the year 2005 to the year 2008 . Find the expected

composite index for the year 2008 based on the year 2007.

[2 marks]

TOPIC/

ITEM


ITEM

RAMALAN

Num.

Index

No.12

Table shows the price indices and the percentage of usage of 5

different ingredients A, B, C , D and E needed to make a cake .

The composite index number for the cost of making the cake in

the year 2007 based on the year 2005 is 132.

Ingredients Price index for the

year 2007 based

on the year 2005

Percentage of

ingredient

(%)

A 140 30

B x 20

C 110 15

D 104 10

E 120 25

a. Calculatei. The price of A in the year 2005 if its price in the year

2007 is RM7.

[2 marks]

Num.

Index

No.13

the diagram below is a bar chart indicating the monthly

expenditure of the items A, B, C, D and E for the year 1996.

0

20

40

60

80

100

120

A B C D E Items

Monthly Expenditure(RM)


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ii. The value of x

[2 marks]

b. The cost of the cake increased 10 % from the year 2007 to

the year 2009. Find the price of the cake in the year 2009 if

its price in the year 2005 is RM40.

[3 marks]c. Find the price index of D in the year 2007 based on the year

2003 if its price index in the year 2005 based on the year

2003 is 125 .

[3 marks]

The table below represents the prices and price indices for the

items.

Item Price in

1996

(RM)

Price in

2001

(RM)

Price index

in 2001

based on

1996A 10.00 12.00 120

B x 22.00 125

C 12.50 20.00 160

D 14.00 y 130

E 16.00 24.00 z

a. Find the values of x, y and z .

b. Calculate the composite index for the items in the year 2001

based on the year 1996

c. Given that monthly expenditure for the items in the year 2001

is RM1130, calculate the comparable monthly expenditure forthe year 1996.

d. The cost of the item increases by 20 % from the year 2001 to

the year 2005. Find the composite index for the year 2005

based on the year 1996.


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SECTION CLINEAR PROGRAMMING

TOPIC/ ITEM SBP-KEMENTERIAN PELAJARAN MALAYSIA TOPIC/

ITEM

NEGERI JOHOR

Linear

Programming

No.15

A Mathematics Club intends to sell two types of souvenirs,

type P and type Q . The Mathematics Club sells x units of

souvenirs of type P and y units of souvenirs of type Q,based on the following constraints

I : The total number of souvenirs to be sold is not more

than 150

II : The number of souvenirs of type Q is at least half

the number of souvenirs of type P.

III : The number of souvenirs of type Q exceeds the

number of souvenirs of type P by at most 80.

a. Write three inequalities, other than x 0 and y 0,

which satisfy all the above constraints.

[3 marks]

b. Using a scale of 2 cm to 20 souvenirs on both axes,construct and shade the region R which satisfies all

the above constraints.

[3 marks]

c. Use the graph constructed in 15 (b), to find

i. The maximum number of souvenirs of type

P sold if 50 souvenirs of type Q are sold.

ii. The maximum profit obtained if the profit

from the sale of one souvenir of type P is

RM3 and the profit from the sale of one

souvenir of type QQ is RM5.

[4 marks]

Linear

Programing

No.15

A factory produces two types of furniture A and B. Each

furniture needs 2 types of raw materials P and Q and the

number of each raw materials needed for each furniture arepresented in the table below.

Furniture Number of raw materials

P Q

A 2 3

B 5 2

The number of raw materials P left in the factory is 30 and the

number of raw materials Q left is 24.

It is given that the number of furniture A produced is at most

twice the number of furniture B produced and the factory

produces x units of furniture A and y units of furniture B.a. Write three inequalities, other than x 0 and y 0, which

satisfy all the constraints above.

[3 marks]

b. By using the scale of 2 cm to 2 units on the x-axis and 2 cm

to 1 unit on the y-axis, construct and shade the region R which

satisfies the above constraints.

[3 marks]

c. Use your graph in 15 (b), to find

i. The maximum number of units of furniture B produced

if 4 units of furniture A are produced.

ii. The maximum profit obtained by the factory if theprofit from the scale of a unit of furniture AA is RM200

and the profit from the sale of a unit of furniture B is

RM250.

[4 marks]


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TOPIC/ ITEM NEGERI TERENGGANU TOPIC/

ITEM

NEGERI KELANTAN

Linear

Prog

No. 14

A tailor shop produces school uniform for both boys and

girls. Table shows the preparation time and the sewing time

of a pair of the uniform.

School Uniform Preparation time(in minutes)

Sewing time(in minutes)

Boys uniform 30 40

Girls Uniform 40 90

In a certain time frame, the shop produces x pairs of boys

uniform and y pairs of girls uniform. The production of the

school uniform is subjected to the following constraints.

I : The maximum preparation time is 640 minutes

II : The sewing time is at least 360 minutes

III : The ratio of the number of pairs of boys uniform to

the number of girls uniform is at most 3 : 4 .a. Write three inequalities, other than x 0, y 0, which

satisfy all of the above constraints.

[3 marks]

b. Using a scale of 2 cm to 2 pairs of school uniform on both

axes, construct and shade the region R which satisfies all

of the above constraints.

[3 marks]

c. Use the graph construted in 14(b) to find

i. The minimum number of pairs of girls uniform

produced if the shop can produce 6 pairs of boys

uniform.ii. The maximum profit that can be obtained in the

time frame given if the profit from the production

of a pair of boys uniform is RM16 and girls

uniform is RM12.

[4 marks]

Linear

Prog

No. 15

The English Language society sells x packets of snack A and y

packets of snack B at a school funfair.

The number of packets of snacks is based on the following

constraints :I : The number of packets of snack A is at least 150.

II : The number of packets of snack B is at least 250

III : The total number of snacks A and B is at least 500 but not

more than 800

a. Write three inequalities, other than x 0, y0 , which satisfy

all the above constraints.

[3 marks]

b. By using a scale of 4 cm to 200 packets of a snacks on both

axes, construct and shade the region R which satisfies all the

above constraints.[3 marks]

c. The profit of a packet of snack A is RM0.15 and the profit

of snack B is RM0.40 by using the graph from (b) find

i. The maximum profit from the sale of snacks A and B.

ii. The minimum profit from the sale of snacks A and B.

[4 marks]


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TOPIC/ ITEM NEGERI PAHANG TOPIC/

ITEM

RAMALAN

Linear

Prog

No. 15

A factory produces two types of school bags, type P and

type Q . In a day, it can produce x bag of type P and y

bag of type Q . The time taken to produce a bag of type

P is 40 minutes and a bag of type Q is 50 minutes.

The production of the bags per day is based on the

following constraints.

I : The total number of bags produced is not more

than 160.

II : The time taken to make bag P is not more than

twice the time taken to make bag Q .

III : The number of bag Q exceed the number of bag P

by at most 80 .

a. Write down three inequalities, other than x 0, y 0

which satisfy all the above constraints.

[3 marks]

b. By using a scale of 2 cm to 20 bags on both axes,

construct and shade the region R that satisfies all the

above constraints.

[3 marks]

c. Use your graph in 15(a) to answer the following

i. Find the range of the number of bag Q that

can be produced if the number of bag P is 50.ii. If the profit of selling bag P is RM20 and bag

Q is RM30, find the maximum profit that can

be obtained.

[4 marks]

Linear

Prog

No. 15

A school cultural club is going to send a team to a

participate in a district concert. The club wish to send x

boys and y girls based on the constraints below .

I : The total number of participant should be lessthan or equal to 8 .

II : The number of boys should less than or equal

that of girls.

III : They must have at least two girls in te team.

a. Write down three which satify the above constraints.

b. Using a scale of 2 cm to represent 1 person on both

axes, construct and shade the region R which

satisfies all the constraints .

c. By using your graph in (b)i. list down all the possible combinations of number

of boys and girls in a team.

ii. write the maximum expenditure of the team

given that constume for a boy cost RM80 and

that a girl is RM60.


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SECTION BPROBABILITY DISTRIBUTION

TOPIC/

ITEM


ITEM

NEGERI JOHOR

Prob.

DistriNo.11

a. In a certain school, 80 % of the students have

computers at home.i. If 6 students from that school are chosen at

random, calculate the probability that at least

2 students have computers at home.

ii. If the standard deviation of the distribution is

14, find the number of students in that school.

[5 marks]

b. The masses of students in a school has normal

distribution with a mean, kg and a standard deviation

12 kg.

i. A student is chosen at random from the

school. The probability that the student has amass less than 45 kg is 0.2266, find the value of

.

ii. Hence, calculate the probability that a student

chosen at random will have a mass between 42

kg and 45 kg .

[5 marks]

Prob.

DistriNo. 11

a. In a survey carried out in a school, it is found that 2 out of 3

students passed their Mathematics Test.i. If 7 students from that school are chosen at random,

calculate the probability that exactly 6 students passed

their Mathematics Test.

[3 marks]

ii. If there are 600 students in the school, find the number of

students who failed the Mathematics Test.

[2 marks]

b. A survey on body-mass is done on a group of teachers. The mass

of the teachers has a normal distribution with a mean of 45 kgand standard deviation of 10 kg.

i. A teacher is chosen at random from the group. Find the

probability that the body-mass of the teacher is less than

42.5 kg.

ii. If 12.3 % of the teachers have a body-mass of more than k

kg, find the value of k .

[5 marks]

TOPIC/

ITEM


ITEM

NEGERI KELANTAN

Prob.Distr.

No.11

a. In an examination, 65 % of the candidates passed theexamination. If a sample of 8 candidates is chosen randomly,

find the probability that

i. Exactly 5 of them passed the examination

ii. At least 2 of them passed the examination

[5 marks]

Prob.Distr

No. 11

a. A student is considered pass the test whenever six of tenquestions are being answered correctly . If 8 students are chosen

random, calculate the probability that.

i. Exactly 2 students pass

ii. More than 1 students pass the test.

[5 marks]


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18/20


TOPIC/

ITEM

SBP-KEMENTERIAN PELAJARAN MALAYSIA

Trigo

No. 4a. Sketch the graph of xy cos21 for 20 x .

[4 marks]

b. i. Using the same axes, sketch a suitable straight line

to solve the equation xx 2cos212 for

20 x .

ii. Hence, state the number of solutions

[3 marks]

Trigo.

No.4a. Sketch the graph of 1sin xy for 0 x 2.

b. Hence, by drawing a suitable straight line on the same axis, find

the number of solutions satisfying the equation 2|sin x|=x for 0

x 2.[7 marks]

Trigo

No.4 a. Prove that xxx2sin

cottan

2

[2 marks]

b. i. Sketch the graph of xy 2sin for .0 x

ii. Hence, using the same axes, sketch a suitable straight

line to find the number of solutions for the

equation 02cottan

4

x

xx for .0 x State

the number of solutions.

[6 marks]

Trigo.

No.6 a. Prove that AAAA

Asincos

sincos

2cos

.

[2 marks]

b. i. Sketch the graph of 22sin xy for x0 .

ii.Hence, using the same axes, sketch a suitable straight line to

find the number of solutions for the equation2

2sin2

1 xx for

x0 [6 marks]

Prog.

No. 3

A pump is used to extract certain type of liquid from a

container . The first extraction draws a volume of 36 cm3of

liquid, and subsequent extractions follow a geometric

progression. The third draws a volume of 20.25 cm3 of liquid.

a. Determine the common ratio of the geometric

progression.

[2 marks]

b. Calculate the volume of liquid extracted in the tenth

extraction.

Prog.

No.3

Ahmad has 1000 chickens in his poultry farm. Every week, he will sell

40 of his chickens.

a. Find the total number of chicken left in his poultry farm after 21st

week .

[4 marks]

b. The cost of feeding each chick is RM2 per week. Find the total

amount of money that he spent on the remaining chicken for the


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[2 marks]

c. If a container contains 140 cm3 of liquid, find the number

of extractions needed to empty the container.

[3 marks]

first twelve weeks.

[3 marks]

Differ.

No.2

Given that22 kky and kx 23

a. Finddxdy

[3 marks]

b. If x increases at the rate of 0.4 1unit i. Find the rate of change of y when x = -5

ii. Find the small change in y when k increases

from 4 to 4.02.

[4 marks]

Differ

No. 2

A curve with gradient function2

8

xx has a turning point at (k, 6) .

a. Find the value of k

[2 marks]

b. Determine whether the turning point is a maximum or minimum

point.

[2 marks]

c. Find the equation of the curve

[3 marks]

Coor.

Geo

No. 3

In diagram, J, K and L lie on the straight line 0102

yx

a. Find

i. The coordinates of J

ii. The equation of a straight line which passesthrough K and perpendicular to JL.

[4 marks]

b. Given that the coordinates of L is (14, 12) and the

ratio JK : KL = m : n, find the relation between m and n.

[2 marks]

Prog

No. 3

Diagram shows a series of circles. The total circumference of first five

circles are 60 cm . The lengths of diameter of circles is 2 cm more

than the previous circle.

a. Find the diameter of the smallest circle.

[3 marks]

b. Calculate the number of circular rings that can be made by using a

piece of wire with length of 260 cm.[4 marks]


20/20


c. A point P moves such that its distance from the origin,

O, is always twice its distance from point J. Find the

equation of the locus of P.

[2 marks]

Date post:	04-Jun-2018
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