Kertas 1 : Function Soalan No. 1, 2 & 3

1. P = {1, 2, 3}Q = { 2, 4, 6, 8, 10}

Based on the above information, the relation between P and Q is defined by the set of ordered pairs {(1,2), (1,4), (2,6), (2,8)}Berdasarkan maklumat di atas, hubungan P dan Q di definasikan olehSet pasangan tertib {(1,2), (1,4), (2,6), (2,8)}State/Nyataa) the image of 1imej bagi 1b) the object of 2objek bagi 2

[ a)2 or 4 b) 1 ] [2marks]2. Diagram shows the relation between set P and set Q. Diagram menunjukkan hubungan set P dan Qdef

w x y z

Set PSet Q

State/Nyataa) the range of the relation,julat hubunganb) the type of the relation.Jenis hubungan

[a) {x,y} b) Many to one ][2marks]

3. Diagram shows function h maps x to y and the function g maps y to z. Rajah menunjukkan fungsi h memetakan x ke y dan fungsi g Memetakan y ke z.258hyxz

Determinea) h -1 (5)b) gh (2)

[a) 2 b) 8] [2marks]4. Diagram shows the linear function h.xh(x)

Rajah menunjukkan fungsi h1 24 6

0 1 m 5

a) state the value of m.nyatakan nilai mb) Using the function notation, express h in terms of x.Nyatakan h dalam sebutan x.

[a)m = 3 b) ][2 marks]

5.Given that g:x 5x + 1and h:x x2 - 2x + 3, finda) g -1 (3)b) hg (x)

[2/5 ,25x2+ 2]6.Given the functions h:x 4x + m dan h-1:x 2kx +, where m and k are constants, find the value of m and of k. 2

[k = 1/8 ,m = -5/2]

7.The function w is defined as (a) w -1(x)

(b) w -1(4)

, 2005, No.2

8.The following information refers to the functions h and g .h: x 2x 3g: x 4x 1

Find gh -1(x)

2x+5

Kertas 1 : Quadratic Equation Soalan No. 4

1. Solve the quadratic equation . Give your answer correct to three decimal places.

Selesaikan persamaan kuadratik . Berikan jawapan anda betul kepada tiga tempat perpuluhan. [3m]

Answer : 0.149 or 3.3512. A quadratic equation has two equal root. Find the possible values of p.

Suatu persamaan kuadratik mempunyai dua punca sama. Cari nilai-nilai p yang mungkin. [3m]

Answer : p = -4 or 8

3.The quadratic equation x (x +1) = px 4 has two distinct roots. Find the range of values of p.

p < -3, p > 54.It is given that -1 is one of the roots of the quadratic equation x2 4x p = 0.Find the value of p.

p = 5

5 The straight line y = 5x 1 does not intersect the curve y = 2x2 + x + p.Find the range of values of p.

p < 1

6.Solve the following quadratic equation: 3x2 + 5x 2 = 0

Module Kertas 1 : Quadratic Function Soalan No. 5 & 6

1. Diagram 2 shows the graph y = 4 (x m)2, where m is a constant. Rajah 2 menunjukkan graf y = 4 (x m)2, dengan keadaan m adalah pemalar. (6, 13)Oxy13

Find/ Carikan(a)the value of m, nilai bagi m,(b) the equation of the axis symmetry, persamaan paksi simetri,(c)the coordinates of the maximum point koordinat titik maksimum. [3m]

[ m = 3, x = 3, ( 3, - 4 )] 2.Diagram 2 shows the graph of a quadratic functions f(x) = 3 (x + p)2 + 2, where p is a constant.

y = f(x)y

x

(1, q )

O

The curve y = f(x) has the minimum point (1, q ) , where q is a constant. State (a) the value of p, (b) the value of q, (c) the equation of the axis of symmetry. [3m]

[-1, 2, x = 1]

3.The quadratic function f(x) = p(x+ q)2 + r , where p, q and r are constants, has a minimum value of 4. The equation of the axis of symmetry is x = 3.Statea) the range of values of p,b) the value of q,c) the value of r.

[p > 0 ,q = - 3 ,r = - 4]

4.Find the range of values of x for which x(x 4) 12.

Kertas 1 :Indices and Logarithm Soalan No. 7 & 8

1.Solve the equation 32 4x = 4 8x + 6. [3m]

[x=3] 2.Given that log5 2 = m and log5 7 = p, express log5 4.9 in terms of m and p

4 marks

3.Given log 2 T log4 V = 3, express T in term of V.

4. Solve the equation 4 2x -1 = 7x.

5. Solve the equation

[x=1]

6.Given that and , express log m in terms of p and r.

4 marks

7. Solve the equation .

8. Given and , express in terms of a and b.

Kertas 1 : Progressions Soalan No. 9 , 10 & 111.The first three terms of an arithmetic progression are : Tiga sebutan pertama janjang aritmetik ialah: k 3, k + 3, 2k + 2. Find / Cari(a) k,(b) the sum of the first 9 terms of the progression Jumlah 9 sebutan pertama

[k = 7 ,S9 = 252]2. The first three terms of a sequence are 2, x , 8. Find the positive value of x so that the sequence is Tiga sebutan pertama suatu janjang ialah 2, x, 8. Cari nilai positif x supaya janjang ialaha) an arithmetic progression,janjang aritmetikb) a geometric progressionjanjang geometrik

[x = 5,x = 4]

3.The first three terms of an arithmetic progression are 5, 9, 13.Tiga sebutan pertama suatu janjang aritmetik ialah 5, 9, 13Find/ Caria) the common difference of the progression,beza sepunya janjangb) the sum of the first 20 terms after the 3rd term.Jumlah 20 sebutan pertama selepas sebutan ke 3

[d = 4 ,1100]4. Three consecutive terms of an arithmetic progression are : Tiga sebutan berturut-turut suatu janjang aritmetik ialah: 5 x, 8, 2x.Find the common difference of the progression.Cari beza sepunya janjang.

[x = 11, d = 14]

5.In a geometric progression, the first term is 64 and the fourth term is 27. Bagi janjang geometric, sebutan pertama ialah 64 dan sebutan keempat ialah 27 Calculate / Kiraa) the common ratio,nisbah sepunyab) the sum to infinity of the geometric progression.Jumlah ketakterhinggaan janjang geometric

[r = ,Sn = 256]

6.Given a geometric progresssion : Di beri suatu janjang geometric : Express p in terms of y . Nyatakan p dalam sebutan y.

7.The first three terms of a geometric progression are 27, 18, 12. Find the sum to infinity of the geometric progression. Tiga sebutan pertama suatu janjang geometric ialah 27, 18, 12. Jumlah ketakterhinggaan janjang geometric

[,]

8.The sum of the first n terms of the geometric progression 8, 24,72 is 8744. Jumlah n sebutan pertama janjang geometric 8,24,72 ialah 8744.Find/ Caria) the common ratio of the progression,nisbah sepunya janjangb) the value of n.nilai n

[3 , 7]

Kertas 1 : Linear Law Soalan No. 121.x and y are related by the equation y = px2 + qx, where p and q are constants. A straight line is obtained by plotting

against x, as shown in Diagram 1.

(6, 1)

(2, 9)

Ox

Calculate the values of p and q.

[p=-2, q=13]2.Diagram 3 shows a straight line graph of against x..

(h, 3)

(2, k)

Ox

Given that y = 6x x2, calculate the value of k and of h.

[h=3, k=4]

3. The variables x and y are related by the equation A straight line graph is obtained by plotting y against x 2 as shown in diagram. y

(0,6)

X2 0 Given the gradient of the straight line is 3, find the value of h and of k.

[k=6, h=2]4. The variables x and y are related by the equation

y2 = 2x (10 x). A straight line graph is obtained by plotting against x, as shown in Diagram 2.

( 3, q)(p, 0)xO

Find the value of p and of q

[p=10,q=14]

Kertas 1 : Coordinate Geometry Soalan No. 131. The points A(2h , h) , B(p, t) and C(2p, 3t) are on a straight line. B divides AC internally in the ratio2 : 3. Express p in terms of t.

3 marks2. The straight line has a y-intercept of 2 and is parallel to the straight line y + kx = 0. Determine the value of h and of k.

3 marks

3.Diagram 4 shows a straight line PQ with the equation .The point P lies on the x-axis and the point Q lies on the y-axis.y

QO

Px

Find the equation of the straight line perpendicular to PQ and passing through the point Q. [3m]

4. A straight line passes through A (-2,-5) and B (6,7).a) Given C ( h, 10) lies on the straight line AB. Find the value of h.b) Point D divides the line segment AB in the ratio 1: 3.

a) 8 (b) (0, -2)]

Kertas 1 : Trigonometric Function Soalan No 14 & 151. Solve 3 cos 2x + 4 cos x +1 = 0 for Selesaikan 3 cos 2x + 4 cos x +1 = 0 for , [4 marks] [4 markah]

70.530, 1800, 289.470

2. Solve the equation for . 416

Selesaikan persamaan bagi . [4 marks] [4 markah]

3. Solve 3 cos 2x + 4 cos x +1 = 0 for Selesaikan 3 cos 2x + 4 cos x +1 = 0 for , [4 marks] [4 markah]

70.530, 1800,289.470

4. Solve the equation 3 cos 2x = 2 sin x 1 for 0o x 360o . Selesaikan persamaan 3 cos 2x = 2 sin x 1 untuk 0o x 360o. [4 marks]

x = 41.81o, 138.19o , 270o

5. Given that sin = k and is acute angle, express in term of k: (a) tan (b) cosec [3 marks]

Answer

6. Given that sin = , 90o < < 180o and sin = , 180o < < 270o. Calculate the value of (a) sin ( + ) (b) cos ( ) [3 marks]

Answer

7. Given, where r is a constant and is a reflex angle. Find in terms Of r. [3 marks]

a)

b)

a) b)

8. Given and .Express each of the following in In term of p. [3 marks]

a)

b)

a) b)

kertas 1: Vector Soalan No. 16 & 171.Diagram 1 shows two vectors, OP and QO.y

Rajah 1menunjukkan dua vector, OP dan QO.xP(5, 3) Q(8, 4)O

Diagram 2Express/Nyatakan

a) OP in the form / OP dalam bentuk b) OQ in the form x i + y j / OQ dalam bentuk x i + y j

,-8 i + 4 j2. p = 2a + 3bq = 4a - br = h a + (h k) b , where h and k are constants

Use the above information to find the values of h and k when :Guna maklumat di atas untuk mencari nilai-nilai h dan k bila :

r = 3 p 2 q.

[h= -2, k= -13]

3.Diagram 3 shows a parallelogram ABCD with BED as a straight line. Rajah 3 menunjukkan segiempat selari ABCD dengan BED ialah garis lurusABCDE

Diagram 3

Given that AB = 6p, AD = 4q and DE = 2 EB, express,in terms of p and q :Diberi AB = 6p, AD = 4q dan DE = 2 EB, nyatakan dalam sebutan p dan q :a) BD ,b) EC.

[-6 p + 4 q , 2p + q]

4. Given that O(0, 0), A(-3, 4) and B(2, 16) , find in terms of the unit vectors, and .

Diberi O(0, 0), A(-3, 4) dan B(2, 16), cari dalam sebutan vector unit dan .

a) AB ,b) the unit vector in the direction of AB.

[5+ 12 , + ]

5.Given that A(-2, 6), B(4, 2) and C(m, p), find the value of m and of p such that :Diberi bahawa A(-2, 6), B(4, 2) dan C(m, p),cari nilai m dan p jika:

AB + 2BC = 10 - 12

[m= 6, p= -2]6.Diagram 5 shows a parallelogram , OPQR, drawn on a Cartesian plane. Rajah 5 menunjukkan suatu segiempat selari, OPQR,dilukis pada satah Kartesan.x

RQPOy

Diagram 5

It is given that OP = 6+ 4 and PQ = 4+ 5. Find PR

Diberi bahawa OP = 6+ 4 dan PQ = 4+ 5. Cari PR

[ 10+ ]

7.Diagram 7 shows vector OA drawn on a Cartesian plane. Rajah 7 menunjukkan OA dilukis pada satah Kartesan Axy12O108642642

Diagram 7

(a) Express OA in the form / nyatakan OA dalam bentuk (b) Find the unit vector in the direction of OA. Cari vector unit dalam arah OA

,8.Diagram 8 shows a rectangle OABC and the point D lies on the straight line OB.Rajah 8 menunjukkan suatu segiempat OABC dan titik D terletak atas garis lurus OBB C

D O/ 9x

5

A

It is given that OD = 3 DB. Express OD , in terms of x and .

Diberi OD=3DB. Nyatakan OD , dalam sebutan x dan .

Kertas 1: Circular Measures Soalan No. 18

1. Diagram 1 shows a circle with centre O .P

O

R

DIAGRAM 1

The length of the minor arc is 15 cm and the angle of the major sector POR is 280o .Using = 3.142 , find

(a) the value of , in radians.( Give your answer correct to four significant figures )(b)the length, in cm, of the radius of the circle . [ 3 marks ]

a) b) r = 10.74

2. Diagram 2 shows sector OPQ with centre O and sector PXY with centre P.PYQO

DIAGRAM 2X

Given that OQ = 20 cm , PY = 8 cm , XPY = 1.1 radians and the length of arc PQ = 14cm , calculate

( a)the value of , in radian ,

( b)the area, in cm2, of the shaded region . [ 4 marks ]

a) b) 104.8

3. Diagram 3 shows a sector DOA and a sector COB with centre O.Rajah 3 menunjukkan sektor DOA dan sektor COB yang berpusat O.

Diagram 3 / Rajah 3BODCA

Given that OA = 8 cm, OA : OB = 2 : 3 and = rad. Find the area of the shaded region in terms of .

Diberi OA = 8 cm, OA : OB = 2 : 3 dan = rad. Cari luas kawasan berlorek dalam sebutan . [3 marks]

[30]

4.FE4 cm15 radO

The diagram above shows a circle with centre O.

Calculate the area of the shaded region. (Use = 3142)

Rajah di atas menunjukkan sebuah bulatan berpusat O. Hitungkan luas kawasan berlorek. (Guna = 3142 ) [3 marks]

[3827]

Kertas 1: Integration Soalan 19 & 211. Find the values of k if = 80.

Cari nilai-nilai k jika = 80. [4 marks]

[, 2]2. Evaluate dx.

Nilaikan dx. [3 marks]

[]

3. Given that , where k and c are constant. Find (a) the value of k

(b) the value of c if when x=2. [3 marks]

a) b) 6

4. Given that and , find the value of k. [3 marks]

[k = 4]

5. Diagram 4 shows part of the curve x = y2.Rajah 4 menunjukkan sebahagian lengkung x = y2.xy1y = kx = y2ODIAGRAM 4

Given the area of the shaded region is 21 unit2. Find the value of k.Diberi luas rantau berlorek ialah 21 unit2. Cari nilai k. [3 marks]

[4]6.

Diagram above shows the curve y = f(x). Given that the area of the shaded region is 5 unit2, find the value of [3 marks]

[18]

7.Given that and . Find . [3 marks]

[4]

8. Given that , where , find the value of k. [3 marks]

[5]

Tajuk: Differentiation Soalan No. 201. Find the equation of the tangent to the curve at the point (3, 5). [3 marks]

[]2. Find the coordinates of the turning points of the

curve . [3 marks]

[(3,28)]

3. Find the normal equation for the curve at the point (-1, 1). [3 marks]

[]4. Given that , calculate (a) the value of x when y is minimum(b) the minimum value of y. [3 marks]

a) 3 b) -6

5. Given that , use differentiation to find the small change

In when increases from 3 to 3.01. [3 marks]

[0.11]6. Given that , when p decreases from 3 to 2.9. Find the small change in y. [3 marks]

[-2.1]

7. Two variables , x and y, are related by the equation . Given that y increases at a constant rate of 4 units per second,

find the rate of change of x when . [3 marks]

[ ]8. The volume of water, V cm3, in a container is given by , where h is the height in cm, of the water in the container. Water is poured into the container at the rate of 5 cm3 s1. Find the rate of change of the height of water, in cm s1, at the instant when its height is 3 cm [3 marks]

[]

9. Given , evaluate . [3 marks]

[ 24 ]10. Differentiate with respect to x. [3 marks]

Kertas 1 : Statistic Soalan No. 221.The mean of four numbers is . The sum of the squares of the numbers is 100 and the standard deviation is 3k. Express m in terms of k.

Min bagi empat numbor ialah . Jumlah kuasa dua nombor-nombor ialah 100dan sishan piawai ialah 3k. Nyatakan m dalam sebutan k.

3 marks2.A set of 12 numbers x 1, x2, x12, has variance of 40 and it is given that . Find Suatu set 12 numbor x 1, x2, x12, mempunyai varian 40 dan diberi

. Cari

(a) the mean / min :

(b)

(a)7.071 (b)84.85 3 marks

3.A set of data consists of 2,3,3,4,5,7 and 9. Determine the interquartile range of data.Suatu set data terdiri dari 2,3,3,4,5,7 dan 9. Tentukan julat antara kuartil data.

4 3 marks4.A set of seven numbers has a mean of 9.Suatu set tujuh numbor mempunyai min 9.

(a) Find / Cari :(b) When a number k is added to this set, the new mean is 8.5. Find the value of k. Bila satu numbor k di tambah pada set ini, min baru ialah 8.5. Cari nilai k

(a)63 (b)5 3 marks

5. The mean of a set of 25 numbers is 24.Min bagi satu set yang mempunyai 25 nombor ialah 24.

(a)If every number in the set is added by 2, determine the new mean of the set. Jika setiap nombor dalam set itu ditambah dengan 2, tentukan min baru bagi set itu.

(b) If two numbers k and k + 2 are taken out from the set, the new mean is 22, find the value of k.Jika dua nombor k dan k + 2 dikeluarkan daripada set itu, min baru bagi set itu ialah 22, cari nilai k. [3 marks]

a) 26 b) 46 6. A set of numbers has mean 25 and variance 64. Find

Set nombor mempunyai min 25 dan varians 64. Cari

(a) the mean of the set .

min bagi set nombor .

(b) the standard deviation of the set. sisihan piawai bagi set nombor

.[4 marks]

a) 47 b) 24

7 Table 1Score / Skor0123

Frequency / Kekerapan26k3

Table 1 shows the score obtained by a participant in a quiz competition. Jadual 1 menunjukkan skor yang diperoleh seorang peserta dalam satu pertandingan kuiz.(a) Determine the maximum value of k if 1 is the score mode Tentukan nilai maksimum k jika skor mod ialah 1.(b) If the median score is 2, find the range of values of k. Jika skor median ialah 2, cari julat nilai k. [4 marks]

a) 5 b) k > 5 8. The following table shows the mass of 100 junior hockey players. Jadual berikut menunjukkan berat bagi 100 orang pemain hoki remaja. Mass (kg)60 - 6263 - 6566 - 6869 - 7172 - 74

Frequency51842278

Calculate the median of the distribution. Hitung median bagi taburan ini. [3 marks]

[67.43]

Kertas 1: Permutation & Combination Soalan No. 23

1. A bowling team consists of 8 person. The team will be chosen from a group of 7 boys and 6 girls. Find the number of team that can be formed such that each team consists of (a) 3 boys (b) not more than 1 girl [4 marks]

(a) 210 (b) 62. A debating team consists of 5 students. These 5 students are chosen from 4 monitors, 2 assistant monitors and 6 prefects. Calculate the number of different ways the team can be formed if (a) there is no restriction (b) the team contains only one monitor and exactly 3 prefects

[4 marks]

(a)792 (b)160

3. Diagram below shows 5 letter and 3 digits.ABCDE678

A code is to be formed using those letters and digits. The code must consist of 3 letters followed by 2 digits. How many codes can be formed if no letter or digit is repeated in each code ? [3 marks]

[360]4. Diagram below five cards of different letters.TABEH

i. Find the number of possible arrangements, in a row , of all the cards. ii. Find the number of these arrangements in which the letters E and A are side by side . [ 4 marks]

i) 120 ii) 48

5. A badminton team consists of 7 students. The team will be chosen from a group of 8 boys and 5 girls. Find the number of team that can be formed such that each team consists of i. 4 boysii. Not more than 2 girl[ 4 marks]

i) 700 ii) 7086. Calculate the number of four digit even number can be formed from the digits 3, 4, 5, 6 and 9 without repetitions. [4 marks]

[48]

7. Find the number of the arrangement of all nine letters of word SELECTION in which the two letters E are not next to each other [4 marks]

[282240]8. Diagram shows seven letter cards. MROFINU

A five-letter code is to be formed using five of these cards. Finda) the number of different five-letter codes that can be formed,b) the number of different five-letter codes which end with a consonant.

a) 2520 b) 1440

9. 2 girls and 8 boys are to be seated in a row of 5 chairs. Find the number of ways they can be seated if no two persons of the same sex are next to each other. [3 marks]

[672]10. A four letter code is to be formed using the letters of the word SUKRI. Find, (a)the number of different four letter codes that can be formed, (b)The number of different four letter codes which begin with a vowel. [4 marks]

a) 120 b) 48

Kertas 1: Probability Soalan No. 241. Ali, Samy and Lim will be taking a driving test. The probability that Ali, Samy and Lim will pass the test is

, and respectively.

Ali, Sami dan Lim akan mengambil ujian memandu. Kebarangkalian Ali, Sami dan Lim akan lulus ujian tersebut adalah , dan masing-masing. Find the probability that(a) only Lim will fail the test, hanya Lim yang gagal ujian tersebut, (b) only two of them will pass the test. hanya dua dari mereka yang akan lulus ujian tersebut [4 marks]

a) b)2. A box contains 10 pieces of chocolate, 7 with nuts and 3 without nuts. Two pieces of chocolate are picked at random from the box. Find the probability that both pieces are with nuts. Dalam sebuah kotak ada 10 keping coklat, di mana 7 keping ada kacang dan 3 keping tanpa kacang. Dua keeping coklat diambil secara rawak dari kotak itu. Cari kebarangkalian bahawa kedua-duanya ada kacang. [3 marks]

[

3. Table 1 shows the number of workers in a company.Jadual 1 menunjukkan bilangan pekerja di sebuah syarikat. Male Lelaki Female Perempuan

12 24

Table 1Two workers are chosen at random to attend a course. Find the probability that both workers are of the same gender.Dua orang pekerja dipilih secara rawak untuk menghadiri kursus. Cari kebarangkalian bahawa kedua-dua mereka adalah sama jantina. [3 marks]

[ ]

4. Team A will play against Team B and Team C in a sepak takraw competition.

The probabilities that Team A will beat Team B and Team C are and respectively. Find the probability that Team A will beat at least one of the teams. [3 marks]

[

5. Table 2 shows the number of coloured cards in a box.

ColourNumber of Cards

Yellow6

Green4

Blue2

Table 2

Two cards are drawn at random from the box.Find the probability that both cards are of the same colour. [3 marks]

[ 6. The probability of a particular netball player scoring a goal in a

netball match is . Find the probability that this player scores only one goal in three matches. [3 marks]

[

7. A container consists of 4 soya beans, 3 coffee beans and 2 cocoa beans. (a) If a bean is drawn at random from the container, calculate the probability that the bean is not a cocoa bean. (b) Two beans are drawn at random from the container, one after the other, without replacement. Find the probability that only one bean out of the two beans is a cocoa bean. [4 marks]

(a) 7/9 , (b) 7/18

8. Rashid and Rudi compete in a badminton game. The game will end when any of the players has won two sets. The probability that

Rashid will win any one set is . Calculate the probability that (a) the game will end in only two set, (b) Rashid will win the competition after playing 3 sets.

(a) (b)

Kertas 1: Probability Distribution Soalan No. 251. The masses of a group of students in a school have a normal distribution with a mean of 45 kg and a standard deviation of 5 kg. Calculate the probability that a student chosen at random from this group has a mass of (a) more than 50.6 kg, (b) between 40.5 and 52.1 kg [4 marks]

a) 0.1314 b) 0.73812. X is a continuous random variable of a normal distribution with a mean of 52 and a standard deviation of 10. Find (a) the standard score when X = 67 (b) the value of k when P(z < k) = 0.8643 [4 marks]

a) 1.5 b) 1.1

3. Diagram 1 below shows a standard normal distribution graph.

f(z)0kz0.3264

Diagram 1 The probability represented by the area of the shaded region is 0.3264 .(a) Find the value of k.(b) X is a continuous random variable which is normally distributed with a mean of 180 and a standard deviation of 5.5. Find the value of X when z-score is k. [4 marks]

a) 0.94 b) 185.14. The mass of students in a school has a normal distribution with a mean of 55 kg and a standard deviation of 10 kg. Find (a) the mass of the students which give a standard score of 0.5, (b) the percentage of students with mass greater than 48 kg. [4 marks]

a) 60 b) 75.8%

5. Diagram below shows a standardized normal distribution graph.0.3643zkOf (z)

The probability represented by the area of the shaded region is 0.3643(i) Find the value of k.

(ii) X is a continuous random variable which is normally distributed with a mean of and a standard deviation of 8.

Find the value of if X = 70 when the z-score is k. [4 marks]

[ 1.1, 61.2]6.

Diagram shows a standard normal distribution graph.The probability represented by the area of the shaded region is 0.3485.(i)Find the value of k(ii) X is a continuous random variable which is normally distributed with a mean of 79 and a standard deviation of 3. Find the value of X when the z-score is k

[ 1.03, 82.09]

7. The result of a study shows that 20% of the pupils in a city cycle to school. If 8 pupils from the city are chosen at random, calculate the probability that (i) exactly 2 of them cycle to school (ii) less than 3 of them cycle to school

[0.2936, 0.79691]8. In a shooting competition, the chance for John to hit the target on any one shot is 95%. John fires 8 shots. Find the probability that (i) at least 7 shots hit the target (ii) at most 3 of the shots hit the target.

[0.9428, 0.0000154]