modul 5min mathematics Form 2

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1

5 Minutes To Love Maths Form 2

1 DIRECTED NUMBERS 2-4

2 SQUARE,SQUARE ROOTS, CUBES AND CUBES ROOTS 5-7

3 ALGEBRAIC EXPRESSION 11 8

4 LINEAR EQUATION 9-10

5 RATIOS, RATES AND PROPORTION 1 11-14

6 PYHTAGORAS’ THEOREM 15-16

7 GEOMETRICAL CONSTRUCTION 17-19

8 COORDINATES 20-21

9 LOCI IN TWO DIMENSIONS 22-23

10 CIRCLES 1 24-25

11 TRANSFORMATIONS 1 26-32

12 SOLID GEOMETRY 11 33-34

13 STATISTICS 1 35-38

Chapter 1: DIRECTED NUMBER

Mathematics _SMKTambun

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Revision :WHOLE NUMBERS/ INTEGERS

1. 5 9 2. 3 83. 12 (7) 4. 2 85. 5 8 6. 9 7 4 (2)

Multiplication And Divison Of Integers Combined Operation Of Addition, Substraction,Multiplication And Division Of Integers

Evaluate each of the following.Nilaikan soalan dibawah.

Multiplication of

integersDivision of integers Combined operation

(1) (1) (1)

(2) (2) (2)

(3) (3) (3)

(4) (4) (4)

(5) (5) (5)

(6) (6) (6)

(7) (7) (7)

(8) (8) (8)


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(9) (9) (9)

(10)

(10) (10)

Notes :

(+) x (+) = (+)

(+) x (-) = (-)

(-) x (-) = (+)

(-) x (+) = (-)

Notes :

(+) ÷ (+) = (+)

(+) ÷ (-) = (-)

(-) ÷ (-) = (+)

(-) ÷ (+) = (-)

B

O

D M A S

( ) ÷ × + -

Revision FRACTIONS/DECIMALS

FRACTION DECIMAL

1 1 0.94 + 0.43 =

2 2 20.441 + 8.05 =

3 3 3.1 + 7.27 + 19.009 =

4 4 54.92 – 39.8 =

5 5 5.7 – 3.286 =


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6 6 61.719– 9.78 -45.849 =

Positive and negative fraction

Evaluate each of the following.Nilaikan soalan di bawah.

COMBINED OPERATION

PMR BASED QUESTIONS1) Calculate the value of

and express the answer as a decimal.

2) Calculate the value of -5.2 – ( and express the answer as

a decimal.

3) Calculate the value of ÷ and express the answer as a fraction in its lowest

term.


FRACTION DECIMAL

1. 1. -3.28 + 4.17=

2. 2. 0.82 + (-3.1)=

3. 3. -3.45 + 15.52 –(- 18.9)=

4. 4.-4.2 (1.2)=

5. 5. -12.3 (-3.21)=

6. 6. -85.5 50=

7. 7. -8.64

8. 8. 7.4

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4) Calculate the value of x 4.2 and express the answer as a decimal.

5) Calculate the value of ( ÷ and express the answer as a fraction in its lowest

terms.

6) Calculate the value of ( x and express your answer as a fraction in its lowest

term.

7) Calculate the value of x and express your answer as a fraction in its lowest

term.

8) Calculate the value of and express your answer as a fraction in its lowest

terms.

9) Evaluate 3.6 - [ 0.12 X (-6)]

10) Evaluate 114 – 4 (14 + 54 ÷ 9 )

CHAPTER 2: SQUARE, SQUARE ROOTS, CUBES AND CUBES ROOTS.

SQUARE OF NUMBERS

1). 32 = 2). 62 =

3). 82 = 4). 92 =

5). 112 = 6). 122 =

7). ( - 2 )2 = 8). ( - 4 )2 =

9). ( - 5 )2 = 10). ( - 7 )2 =

11). ( - 9 )2 = 12). ( - 10 )2 =


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13). = 14). 2

52

=

15). = 16). =

17). = 18). =

19). = 20). =

21). ( 0.4 )2 = 22). ( 1.2 )2 =

23). ( - 0.3 )2 = 24). ( - 0.05 )2 =

SQUARE ROOTS OF NUMBERS

1). = 2). =

3). = 4). =

5). = 6). =

7). = 8). =

9). = 10). =

11). = 12). =

13). = 14). =

15). = 16). =

17). = 18). =

19. = 20. =

21. = 22. =


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CUBES OF NUMBERS

1). 23 = 2). 43 =

3). 73 = 4). ( - 5 )3 =

5). ( - 3 )3 = 6). 103 =

7). = 8). =

9). = 10). =

11). = 12). =

13). ( 0.1 )3 = 14). ( 0.6 )3 =

15). ( - 0.2 )3 = 16). ( - 0.03 )3 =

17). ( 1.2 )3 = 18). ( - 0.4 )3 =

CUBE ROOTS OF NUMBERS

1). = 2). =

3). = 4). =

5). = 6). =

7). =8). =

9). = 10). =

11). = 12). =

13). = 14). =

15). = 16). =


5F

PMR QUESTIONS

CHAPTER 3: ALGEBRAIC EXPRESSION


1. PMR 2005

i.

ii.

2. PMR 2006

i.

iii.

3. PMR 2007

i.

ii.

4. PMR 2008

i.

ii. 5. PMR 2009

i. ii.

5F

SIMPLYFYING ALGEBRAIC EXPRESSION1. 2x – 7y + 5x – y =

2. 11z -3w - 8z- 8w=

3. ( 6r + 9s) + ( 3r – 2s)=

4. ( 5k -3) – ( 7k + 2)=

5. (2t +4s) – (7t – 3s)=

6. – 3s – (- 5s + 1)=

7. -14w –(-3w) -7w =

1. ab x a2b=

2. 3xy x (-2 yz)=

3. 6ab2c x (½ bc3) =

4. (-8p3qr) x ( -7pqr2) =

5.

SIMPLYFYING ALGEBRAIC EXPRESSION1. 24pq2z ÷ 8qr=

2. =

3. 12abc ÷ (-18cd)=

4. (- 18sr3t2) ÷ 6sr2t=

5. 6p2qr ÷ 3pq x 8pr =

6. =

7. 10a2b3 x (-2b2c) ÷ 5abc=

EXTRA QUESTIONS

1. 8 ( 5m -2)=

2. - ½ ( 4a + 12b) =

3. – p – 7 ( p -3 )=

4. – 5 ( t -2) + 8t =

5. 3 ( 2s -7) – 4( s + 3)=

6. ( -12pq + 8qr – 4pqr) ÷ 4=

7. =

8. =

9. =

CHAPTER 4: LINEAR EQUATIONS


5F

To determine whether a given value is a solution of an equation, substitute the value into the equation. If the

sum of the left hand side (LHS) = sum of right hand side (RHS), then the given value is a solution. There are 4

different forms of linear equation as follow:

Equation Solution

x + a = b

x - a = b

ax = b

x = b - a

x = b + a

1. Example : 2. Example :

a)

b)

c)

d)

e)

f)

a)

b)

c)

d)

e)

f)

3. Example : 4. Example :

a)

b)

c)

d)

e)

f)

a)

b)

c)

d)

e)

f)


5F

5. Example :

6. Example :

a)

b)

c)

d)

e)

f)

a)

b)

c)

d)

e)

f)

PMR QUESTIONS

CHAPTER 5: RATIOS , RATES AND PROPORTIONS


2004

a)

b)

2005

a)

b)

2006

a)

b)

2007

a)

b)

2008

a)

b)

5F

Ratios of two quantities

1. Determine whether given ratios are equivalent ratios

2. 5:7 and 15:18 3. 54:24 and 9:44. 8:12 and 2:3 5. 36:12 and 6:2

2. Simplify ratios to the lowest terms.

1. 64:80 2. 81:9

3. 2.4:6

4.

3. State ratios to a given ratios.

1. a:b=7:3 if

(a) a: a+b(b) a: a-b(c) b: a+b(d) b: a-b

2. a:b=19:13 if

(a) a: a+b(b) a: a-b(c) b: a+b(d) b: a-b

4. Find the value of a quantity using the concept of proportion.

(a) Given find the value

of y when x=15.

Diberi bahawa cari

nilai y apabila x=15.

x y3 715 y

(b) Given find the

value of q when p=10.

Diberi bahawa

cari nilai q apabila p=10.

p q

(c) Given find the value

of h when k=4.

(d) Given find the

value of b when a=6.


5F

Diberi bahawa cari

nilai h apabila k=4.

Diberi bahawa cari

nilai b apabila a=6

(e) Given find the value of

b when a=12.

Diberi bahawa cari

nilai b apabila a=12

(f) Given find the value

of p when q=42.

Diberi bahawa cari

nilai p apabila q=42

5. Find the value of one quantity, given the ratios and sum of the two quantities.

(a) Given find the value

of a when a + b=14.

Diberi bahawa cari

nilai a apabila a+b= 14

a a + b2 2+5=7a? 14

(b) Given find the

value of x when x+y=30.

Diberi bahawa cari

nilai x apabila x+y=30.

x x + y

x?

(c) Given find the value

of q when p+q=52.

Diberi bahawa cari

nilai q apabila p+q=52.

(d) Given find the value

of k when h+k=77.

Diberi bahawa cari

nilai k apabila h+k=77

(e) Given find the value of f

when f+k=84.

Diberi bahawa cari

nilai f apabila f+k=84

(f) Given find the value

of r when r+s=64.

Diberi bahawa cari

nilai r apabila r+s=64


5F

6. Find the sum of two quantities, given the ratios of the quantities and the difference between the quantities.

(a) Given find the value of

e+f when e- f=28.

Diberi bahawa cari

nilai e+f apabila e- f=28.

e + f e-f5+3=8 5-3=2e + f? 28

(b) Given find the value

of s + t when t-s=12

Diberi bahawa cari

nilai s + t apabila t-s=12.

s + t t-s7+9=16 9 -7=2s + t? 12

(c) Given find the value of

p+q when p-q=36.

Diberi bahawa cari

nilai p+q apabila p-q=36.

(d) Given find the value

of x+y when x-y=24.

Diberi bahawa cari

nilai x+y apabila x-y=24.

7. Solve the problems using the concept of proportion.

1. 12 books cost RM 102. How many books can be bought for RM170? [20 books]

2. The ratios of Tom’s mass to Bob’s mass is 4:5. if Tom’s mass is 52 kg, what is their

total mass in kg? [117kg]

3. A car travels 63km in 36 minutes. How many minutes does it takes to travel 112km?

[64 min]

4. 1.2kg of flour produces 28 loaves of bread. How many kg of flour is needed to

produces 70 loaves of bread? [3kg]

Ratios of three quantities

1. Find the ratios of the following quantities in the lowest terms.

a) 6 cm to 7 cm to 8 cm b) 20 sen to 45 sen to 90 sen

c) RM6 to RM8 to RM10 d) 14 g to 18 g to 24 g


5F

e) 25 min to 40 min to 1 hoursf) 4 days to 2 weeks to 6 days

2. Determine whether the given ratios are equivalent ratios.

a) 12 : 20 : 4 and 3: 5: 1 b) 6 : 12 : 14 and 1: 2: 4

c) 32: 64: 40 and 4: 8: 6 d) 9: 3: 6 and 12: 4:8

3. The ratio of the number of oranges to the number of mangoes to the number of apples in a basket is 2 : 4 : 3. Find the ratio of

a) the number of oranges to the number of mangoesb) the number of oranges to the number of applesc) the number of mangoes to the number of apples

4. The ratio of the boys to the girls to the number of teachers in a school is 5 : 6 : 1. Find the ratio of

a) the boys to the girlsb) the boys to the teachersc) the girls to the teachers

5. Find the ratio a : b : c in each of the following.

a) a : b = 2 : 3 and b : c = 3 : 4 b) a : b = 3 : 4 and b : c = 4 : 5

c) a: b = 3: 11 and b: c= 11: 4 d) a : b = 6 : 11 and b : c = 12 : 7

e) a : b = 5 : 7 and b : c = 6 : 11 f) x:y=2:7 and y:z=14: 5

6. Find the value of the other two quantities.

(a) Given and a= 20. Find

the value of b and c.

(b) Given and b= 30. Find

the value of a and c.


5F

Value of b:

= 40Value of c:

c a 5 2c? 20

Value of a:

Value of c:

(c) Given and x= 22. Find

the value of y and z.Value of _:

Value of _:

(d) Given and y= 18. Find

the value of x and z.Value of _:

Value of _:

(e) Given and x+ y= 20.

Find the value of y and z.Value of _:

Value of _:

(f) Given and b-c= 9. Find

the value of a+b+c .Value of a+b+c:

PMR QUESTIONS

PMR 2004


Cross multiply

Form related ratios

B A4 2 b? 20

a b8 3a? 30

a+b+c b-c11 1a+b+c 9

5F

The ratios of the number of green marbles to the number of red marbles is 7:11. The total number of marbles is 324. Calculate the difference between the number of red and green marbles. [Answer: 72]

PMR 2005Given that x:y=3:11, calculate the value of x if y=33. [Answer: 9]

PMR 2006It is given that x:y=3:5 and x+y=32. The value of x is. [Answer: 12]

CHAPTER 6: PYTHAGORAS’ THEOREM


5F

4. Find the value of x in each of the following question.

a)b) c)

PMR BASED QUESTION

1. 2.

3. 4.


5F

5. 6.

CHAPTER 7: GEOMETRICAL CONSTRUCTION

ACTIVITY 1

HOW TO:Construct a line segment of given length.

i) Line segment of AB=5cm

ii) Line segment of AB=4.5cm

Construct a triangle given the length of the sides.

i)


A

Answer in this page.

Sila jawab soalan dalam m/s ini.

Answer in this page.Sila jawab soalan dalam m/s ini.

5F

ii)

Construct:a) perpendicular bisector of a given line segment

i) ii)

b) perpendicular to a line passing through a point on the line

i) ii)

c) perpendicular to a line passing through a point not on the line.

i) ii)


.P

.P

.P

.P

5F

Activity 4: Construct:

a) angle of 60 and 120

i) ii)

b) bisector of an angle.

i) Ii)

How to construct:

i)

ii)

iii)

Activity 5: Constructing triangles of given sides and angles

1. TWO ANGLE AND ONE SIDE (a) ∆ PQR with QR= 2.5 cm, = .(b) Isosceles triangle PQR with QR= 4cm and = .


Activity 6!Answer question 1 in this page.Sila jawab soalan 1 dalam m/s ini.

5F

2. ONE ANGLE AND TWO SIDE

(a) ∆PQR with QR=3cm , PQ=4cm and

(b) ∆PQR with QR=2.5cm , PQ=4cm and

Activity 6

1. Parallel line Construct a parallel line to AB and that passes through point P.

(a) (b)

2. Parallelogram Construct parallelogram.

(a) Parallelogram PQRS with PQ=4cm , PS= 3cm and

(b) Rhombus PQRS with sides =3.5 cm and

CHAPTER 8: COORDINATES


.P

.P

5F

Scales and plotting point of coordinates


5F

1. Mark the values on the x-axis and y-axis on the Cartesian plane below given:scale on the x-axis is 1 : 2scale on the y-axis is 1 : 10

Solution:

2. State the scale used in each of the axes shown below

Solution:The scale on the x-axis is ____________

The scale on the y-axis is ___________3.State the coordinates of points A, B, C and D on the cartesian plane shown.

QUESTION BASED ON PMR Find the distance between two points.

1. A(-2,4) and B(-2,10)2. C(3,0) and D(12,0)3. E (27, -6) and F(27, 9)4. G (15, -3) and H(20, -3)


0x

y

0

2

4

6

2

4

6

8

-2

-4-6

-2

-4-6

x

y

2

0

4

6

8

10

-2

-4

-6

-8

5 10 15 20 25-5-10-15-20-25x

y

A

CB

D

Solution:

A –

B –

C –

D –

5F

Find the distance between two points using Pythagoras’ theorem.

1. Find the distance between the following points :

(a) and (b) and

2. Find the distance of point A(3,5) and B(-5,2).

3. Calculate the distance between each following of points.a) A(3,2) and B(-1,-1)b) C(0,-2) and D(5,10)

Find the coordinates of midpoint of two joining points.

Example :Find the coordinates of midpoints of joining point F(2,7) and G(4,1).Solution

Midpoint of FG=

= =

1. Find the coordinates of the midpoint of the line below:(a) A(5,8) and B(7,4)(b) C(4,6) and D(5,7)

(c) E(2,-8) and F(-10, 6)(d) G(-4,-6) and H(8,-9)

2. Find the coordinates of the midpoint of a straight line joining two points of coordinates :

Cari koordinat titik tengah garis lurus yang menghubungkan dua titik koordinat :

(a) and (b) and

3. Given that is the midpoint of a straight line XY and the coordinates of X are

, find the coordinates of Y. Diberi M(-6,8) adalah titik tengah garis lurus

XY dan koordinat X adalah (12, -8), cari koordinat titik Y.

4. Given that (2,p) is the midpoint of the

straight line joining the points (1,8) and (3,-2)

find the value p.

Diberi (2,p) adalah titik tengah garis lurus yang menyambungkan titik (1,8) dan (3,-2), cari nilai p .

5. In the diagram below, P, Q, R and S are the vertices of a rectangle. Dalam rajah di bawah, P, Q, R dan S adalah bucu-bucu bagi sebuah segiempat tepat.

Given that the distance of QR is three times the distance of PQ, find the coordinates of S.


)4,3()28,

26(

CHAPTER 9:LOCI IN TWO DIMENSIONS

How to construct locus??

1. Locus of a points that are constant distance from a fixed point . Sketch a locus of point X that is always (constant) 2 cm from O.

2. Locus of a point that are equidistant from two fixed points .Two points X and Y are 6 cm apart. Construct the locus of point P equidistance from X and Y.

3. Locus of points that are at a constant distance from a straight line . Construct a locus of point T that is 2 cm from PQ.

4. Locus of points that are equidistant from two intersecting lines. Two lines AB and CD intersect at point O. construct the locus of point T such that it is always equidistant from AB and CD

O

Q P

A

B

C

D

O

PMR QUESTION

QuestionDiagram 6 in the answer space shows a square PQRS drawn on a grid of equal squares with size of 1 unit.Rajah 6 di ruang jawapan menunjukkan sebuah segiempat sama PQRS yang dilukis pada grid segiempat sama yang bersisi 1 unit.

M, X and Y are three moving points in the diagram.Titik-titik M, X dan Y adalah tiga titik yang bergerak dalam rajah itu.

(a) M is the point which moves such that its distance from point Q anD point S are the same. By using the letters in the diagram, state the locus of M. M ialah titik yang bergerak dengan keadaan jaraknya adalah sama dari titik Q dan titik S. Dengan menggunakan huruf abjad pada rajah itu, nyatakan lokus bagi M.

(b) On the diagram, draw Pada rajah itu, lukis

(i) the locus for the point X that is constantly 5 units from the line QR, lokus bagi titik X yang bergerak dengan keadaan titik itu sentiasa berjarak 5 unit dari garis QR,

(ii) the locus for the point Y that is constantly

7 units from the points R. lokus bagi titik Y yang bergerak dengan

keadaan titik itu sentiasa berjarak 7 unit dari titik R.

(c) Hence, mark with the symbol the intersections of the locus of X and

the locus of Y. Seterusnya, tandakan dengan simbol kedudukan bagi persilangan lokus X dan lokus Y itu

Answer:

CHAPTER 10: CIRCLES

Circumferences Arc of circles

1 1

2 2

33

4 4

Area of circles Area of sector of a cirlces

1. 1

a)

b)

2. 2

3. 3

4

5

6

CHAPTER 11: TRANSFORMATION I

TRANSLATION

1. Determine whether each of the following transformations is a translation.

a.

b.

c.

2. Determining the Image of an Object under a Translation

a. In the diagram, determine the image of point T under a translation represented by line PQ.

b. In the diagram, point M is the image of point J under a translation. Determine the image of quadrilateral PQRS under the same translation

2. State the translation of the following mappings. Nyatakan Translasi bagi pemetaan di bawah

(a) point X to X' (b) point H to H' Titik X kepada X’ titik H kepada H’

Answer/Jawapan : Answer/Jawapan :

3. State the translation that maps image Y to image Y' in the below figure.

Nyatakan translasi bagi pemetaan Y kepada imej Y’ dalam rajah di bawah.

Answer /Jawapan :

4. State the translation that maps image G to image G' in the below figure.

Nyatakan translasi bagi pemetaan imej G kepada G’ dalam rajah di bawah.

Answer/Jawapan :

REFLECTION 1. Diagram below shows a pentagon ABCDE drawn on a grid of equal squares. Draw the image of

pentagon ABCDE under a reflection in the straight line PQ.Rajah di bawah menunjukkan sebuah pentagon ABCDE yang dilukis di atas grid segiempat sama. Lukiskan imej pentagon ABCDE di bawah satu pantulan pada garis lurus PQ.

Answer/Jawapan :

2. Diagram below shows a triangle is drawn on a grid of equal squares. Draw the image of the triangle ABC under a reflection in the straight line PQ.

Rajah di bawah menunjukkan sebuah segitiga yang dilukis di atas grid segiempat sama. Lukiskan imej segitiga ABC di bawah satu pantulan pada garis lurus PQ.

Answer/Jawapan :

P

E D

C

B

A

Q

A

B

C

P

Q

3. The following diagram is drawn on a grid of equal squares. Draw the image of the diagram under a reflection in the straight line MN.

Rajah berikut dilukis di atas grid segiempat sama. Lukiskan imej bagi rajah itu di bawah pantulan pada garis lurus MN.

Answer/Jawapan :

4. The following diagrams are drawn on a grid of equal squares. P’ is the image of P under a reflection. Rajah berikut dilukis di atas grid segiempat sama. P’ ialah imej bagi P di bawah suatu pantulan. On the diagram in the answer space, draw the axis of reflection. Pada rajah di ruang jawapan, lukis paksi pantulan.

Answer/Jawapan :

P’

P

M

N

5. Diagram below in the answer space shows object P and straight line MN drawn on a grid of equal squares. On the diagram below in the answer space, draw the image of P under a reflection in the straight line MN.Rajah di bawah pada ruang jawapan menunjukkan objek P dan garis lurus MN di lukis di atas grid segi empat sama yang sama besar. Pada rajah di bawah pada ruang jawapan, lukis imej bagi P di bawah pantulan pada garis lurus MN.

Answer/Jawapan :

6. Diagram below in the answer space shows two quadrilaterals, ABCD and A’B’C’D’, drawn on a grid of equal squares. A’B’C’D’ is the image of ABCD under a reflection. On the diagram in the answer space, draw the axis of reflection.

Rajah di bawah pada ruang jawapan menunjukkan dua sisiempat, ABCD dan A’B’C’D’ yang dilukis di atas kertas grid segiempat sama. A’B’C’D’ ialah imej kepada ABCD di bawah satu pantulan. Pada rajah di ruang jawapan, lukiskan paksi pantulan.

Answer/Jawapan :

M

P

N

C

AB

D

B’C’

D’

A’

ROTATION 1. In Diagram 1 in the answer space, draw the image of triangle JKL under a 90º anticlockwise rotation

about the point P. Dalam Rajah 1 di ruang jawapan, lukiskan imej bagi segitiga JKL di bawah putaran 90o lawan arah jam pada pusat O. Answer/Jawapan :

2. In Diagram 2, triangle J is the image of triangle R under a rotation.

Mark the centre of rotation and label it as O.Dalam Rajah 2, segitiga J adalah imej bagi segitiga R di bawah satu putaran.Tandakan pusat putaran dan labelkannya sebagai O. Answer/Jawapan :

●P

J

K

L

R

3. Diagram 3 in the answer space shows a Cartesian plane. State the coordinates of the image of P under the rotation of 90o clockwise about the point (0, 0).Rajah 3 dalam ruang jawapan menunjukkan satah Cartesian. Nyatakan koordinat bagi imej P di bawah putaran 90o ikut arah jam pada pusat (0 , 0).

Answer/Jawapan :

J

CHAPTER 12: SOLID GEOMETRY II

2. Find the surface area of each of the following solids.

3. Find the value of y in each of the following geometric solids given its total surface area.

CHAPTER 13: STATISTIC I

PICTOGRAM 1. The pictogram below shows the number of

durians sold by a farm from year 2005 to 2007. Piktograf di bawah menunjukkan bilangan durian yang dijual oleh sebuah ladang dari tahun 2005 hingga 2007.

Year 2005Year 2006Year 2007

represents 300 duriansmewakili 300 biji durian

(a) State the number of durians sold in the year of 2006.Nyatakan bilangan buah durian yang dijual pada tahun 2006

(b) Calculate the percentage of decrease in number of durians sold in 2006 compare with 2005.Hitung peratus pengurangan bilangan durian yang dijual pada 2006 berbanding 2005

2. The pictogram below shows the number of cars sold by a dealer from the month of Jun until the month of August.

Piktograf di bawah menunjukkan bilangan kereta yang dijual seorang penjual dari bulan Jun hingga Ogos.

JunJulyAugust

represents 5 carsmewakili 5 buah kereta

(a) State the number of cars sold by the dealer in Jun.Nyatakan bilangan kereta yang dijual oleh penjual pada bulan Jun

b) Calculate the percentage of increase in number of cars sold in the month of August compare with the month of July.

Hitung peratus peningkatan bilangan kereta yang dijual bagi bulan Ogos berbanding bulan Julai.

3. The pictogram below shows the number of computers sold by four shops in a year.

Piktograf di bawah menunjukkan bilangan komputer yang dijual oleh empat buah kedai dalam satu tahun.

A

B

C

D Each represents x units of computer.Setiap mewakili x unit computer

(a) If shops A and B sold a total of 270 units of computer, find the value of x. Jika kedai A dan B menjual sejumlah 270 unit komputer, cari nilai x.

(b) If the profit from selling a unit of computer was RM500, what was the profit for shop D for that year? Jika keuntungan daripada jualan sebuah komputer ialah RM500, berapakah keuntungan bagi kedai D bagi tahun berkenaan.

BAR CHARTS/ LINE GRAPHS

1. Hanafi recorded his monthly expenses for petrol in the table below. Hanafi merekodkan perbelanjaan petrol dalam jadual di bawah.

Month

BulanJan Feb Mac April May

Expenses (RM)

Perbelanjaan100 75 175 125 200

Represent the above data using line graph. Perwakilkan data di atas dengan menggunakan graf garis.

Answer/Jawapan :

2. Table 4 shows the productions of cars by an automobile factory in the first five months of 2003. Construct a line graph to represent all the information given in the table.

Jadual 4 menunjukkan pengeluaran kereta bagi sebuah kilang kenderaan dalam tempoh lima bulan bagi tahun 2003. Bina satu graf garis bagi mewakili kesemua maklumat yang diberi dalan jadual .

MonthBulan

Number of CarsBilangan Kereta

January 850February 1280

March 1050April 1500May 1000

Table 4 Jadual 4

Answer/Jawapan :

3. Table 8 shows the number of computer club members in a school.

Jadual 8 menunjukkan bilangan ahli kelab komputer bagi satu sekolah.

FormTingkatan

Number of studentsBilangan Pelajar

1 382 243 324 14

Table 8 Jadual 8

. On the square grid provided, construct a line graph to represent all the data in the table.

Pada grid segi empat sama yang dibekalkan, bina satu graf garis untuk mewakilkan kesemua data dalam jadual 8.

Answer/Jawapan :

Documents

modul 5min mathematics Form 2