# kertas soalan ramalan 2009 pmr math

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FORECAST PAPER PMR 2009SULIT 3472 3472/1 Forecast Paper Mathematics PMR Paper 1 September 2009 1 hour 15 minutes 3472/1 NO.KAD PENGENALAN/I.C NUMBER ANGKA GILIRAN/INDEX NUMBER

Nama Calon : Tingkatan : _________________________________

FORECAST PAPER PENILAIAN MENENGAH RENDAH (PMR)2009

MATHEMATICS

Paper 1 1 hours 15 minutesJANGAN BUKA KERTAS SOALAN INI SEHINGGA DIBERITAHU 1. Kertas soalan ini adalah dalam bahasa Inggeris. 2. Kertas soalan ini mengandungi 40 soalan. 3. Jawab semua soalan. 4. Tiap-tiap soalan diikuti oleh empat pilihan jawapan, iaitu A, B, C dan D. Bagi setiap soalan, pilih satu jawapan sahaja. Hitamkan jawapan anda pada kertas jawapan objektif yang disediakan. 5. Jika anda hendak menukar jawapan, padamkan tanda yang telah dibuat. Kemudian hitamkan jawapan yang baru. 6. Rajah yang mengiringi soalan tidak dilukiskan mengikut skala kecuali dinyatakan. 7. Satu senarai rumus disediakan di halaman 2 hingga 3. 8. Anda dibenarkan menggunakan kalkulator saintifik yang tidak boleh diprogram.

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FORECAST PAPER PMR 2009SULIT 3472 3472/1

RELATIONS

1 2 3 4

a m a n = a m+ n a m a n = a mn(a m ) n = a mn Distance =( x2 x1 ) 2 + ( y2 y1 ) 2

5

Midpoint

y + y2 x + x2 , 1 (x , y) = 1 2 2

6

Average speed =

distance travelled time taken

7

Mean =

sum of data number of data

8

Pythagoras Theorem c2 = a 2 + b2SHAPE AND SPACE

1 2 3 43472/1

Area of rectangle = length width Area of triangle = 1 base height 2

Area of parallelogram = base height Area of trapezium =1 sum of parallel sides height 2SULIT

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FORECAST PAPER PMR 2009SULIT 3472 5 Circumference of circle = d = 2 r 3472/1

6 7 8 9 10 11 12

Area of circle = r 2 Curved surface area of cylinder = 2 rh Surface area of sphere = 4 r 2 Volume of right prism = cross sectional area length Volume of cuboid = length width height Volume of cylinder = r 2 h Volume of cone = 1 2 r h 3 4 3 r 3 1 base area height 3

13

Volume of sphere =

14 15 16

Volume of right pyramid =

Sum of interior angles of a polygon = (n 2) 180o arc length angle subtended at centre = circumference of circle 360o area of sector angle subtended at centre = area of circle 360o Scale factor, k =

17

18 19

PA PA

Area of image = k 2 area of object

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FORECAST PAPER PMR 2009SULIT 3472Answer all questions.

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1.

Diagram 1 shows a sequences of numbers. -18, -17, -15, t , -8, -3, 3Diagram 1

The value of t is A -13 B -12 C -11 D -10 2. A pair of numbers that has 80 as its lowest common multiple (LCM) is A 14 and 20 B 16 and 40 C 18 and 60 D 20 and 80 The sum of all prime factors of 260 is A 16 B 18 C 20 D 24 Lela bought a Nokia hand phone for RM 1 600. After a certain time, she sold the hand phone for RM 1 200. Calculate the loss percentage. A 25 % B 30 % C 35 % D 40 % Diagram 2 shows some of the factors of 220.220

3.

4.

5.

4 2 110Diagram 2

10

q

22

Find the value of q . A 21 B 40 C 50 D 553472/1 SULIT

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FORECAST PAPER PMR 2009SULIT 3472 3472/1

6.

Which of the following has the smallest value? A 24 25 B 11 20 C 7 9 D 2 5 Cikgu Nurul has 6 rolls of ribbon. Each roll has 2 1 metres of ribbon. She used 3 2 rolls of the ribbon and 140 cm from another roll. How much ribbon is left ? A 5.0 m B 5.4 m C 6.0 m D 6.1 m

7.

8.

In an experiment, the initial temperature of a substance is 30 0 C. The substance is cooled at a rate of 3 0 C per minute for 15 minutes. Later, it is heated at a rate of 4 0 C per minute for 12 minutes. The final temperature of the substance, in 0 C, is A -15 B -9 C 33 D 43 At 1440 hours on Saturday, Siti departed from Kuala Terengganu to Kuala Lumpur. The journey took 8 hours. Siti stayed at Kuala Lumpur for 7 hours. Then 1 she took 7 hours to return to Kuala Terengganu. At what time, in the 24-hour 2 system, did Siti reached at Kuala Terengganu? A 0920 B 1310 C 1620 D 2020

9.

10.

In the diagram 3, STU is a straight line.S T380

U

Diagram 3 3472/1

x

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SULIT

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FORECAST PAPER PMR 2009SULIT 3472 Find the value of x . A 11 0 B 19 0 C 22 0 D 28 0 3472/1

11.

In the diagram 4, LMNO is a rectangle. P and Q are midpoint of LM and MN.L 6 cm P M Q

O

14 cm

N

Diagram 4 Find the perimeter, in cm, of the shaded region. A 42.22 B 43.63 C 63.40 D 66.34

12.

Diagram 5 shows a regular pentagon ABCDE.A

y0E

x0

B

S

D

C

T

Diagram 5

EBS and DCT are straight lines. Which of the following is false? A EAB is an isosceles triangle B x + y = 180 0 C EBC is an equilateral triangle D EBS and DCT are parallel 13. Given that q : r = 5 : 9, if q + r = 56, then q r = A B C D -16 -6 6 16

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FORECAST PAPER PMR 2009SULIT 3472 14. In the diagram 6, PQRS is trapezium and TUVS is a parallelogram.P T 15 cm 10 cm S V R 20 cm Q U

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Diagram 6

Given that TU = 10 cm and SR = 22 cm, calculate the area of the shaded region A 200 cm 2 B 205 cm 2 C 210 cm 2 D 215 cm 2 15. Diagram 7 shows two points K and L, on a Cartesian plane.y

6 4 2 L O 2 4 6

K

8

x

Diagram 7

Calculate the distance between the point K and the point L. A 32 units B 65 units C 84 units D 102 units

16.

Diagram 8 below shows a cuboid.

4 cm

Diagram 8

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FORECAST PAPER PMR 2009SULIT 3472 Which of the following is a net for the cuboid. 3472/1

A6 cm

4 cm

B6 cm 4 cm

C4 cm

6 cm

D4 cm 6 cm

17.

1 3 Given that R : S = 1 : and S : T = 3 : 5, find R : S : T 5 5 A 2:3:5 B 3:2:5 C 5:3:6 D 6:3:5

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FORECAST PAPER PMR 2009SULIT 3472 18. In diagram 9, W is the midpoint of the straight line VY.y x V(10,0) W( q , -5) Y(-2,-10)

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Diagram 9

Find the value of q A -4 B -1 C 4 D 6 19. Diagram 10 shows three congruent circles of radius 3.5 cm each and their centres at E, F and G.C A F

E D

G

B

Diagram 10

Which of the point A, B, C or D is at a distance of 3.5 cm from G and more than 3.5 cm from F?

20.

In the diagram 11, GHIJ is a rectangle. PQR is an arc of a circle with centre S.G 16 cm H 9 cm R

J

P

S

I

Q

Diagram 11 3472/1 SULIT

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FORECAST PAPER PMR 2009SULIT 3472 Given that JP = PS = SR = RI, find the perimeter of the whole diagram. 22 ) ( = 7 A 50.504 B 52.584 C 54.571 D 56.554 3472/1

21.

Solve the inequalities 7 x 10 x 3 A x 3 B x3 C x3 D Table 1 shows the weight of a group of pupils in a class. Weight (kg) 30 35 40 45 Frequency 2 3 4 5 Table 1 Find the median weight, in kg, of the pupils in the class A 40 kg B 42.5 kg C 45 kg D 50 kg

22.

50 2

55 1

23.

3m 2 A B C D

1 = 9m5

3m 3 1 3 m 3 1 3m3 1 3m 3

24.

In Diagram 12 PQRS is a circle with centre O. POQ and STR are straight lines.

P O

Diagram 12S T R

Q

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FORECAST PAPER PMR 2009SULIT 3472 Given that PQ=20cm and SR=16cm. Calculate the length, in cm of OT A 6 cm B 8 cm C 12 cm D 15 cm 3472/1

25.

Mr. Wong bought 5 boxes of oranges which contained x oranges in each box. He also bought 4 boxes of apples which contained y apples in each box. He sold each orange and each apple for RM0.60 and RM0.50 respectively. Which algebraic expression represents the amount of money Mr. Wong would get if he sold all the fruits? A 2x + 3y B 3x + 2y C 4x + 5y D 5x + 4y Diagram 13 is a line graph showing monthly test marks of Saleha from January to June.Marks 80 60 40

26.

20 Month

Jan

Feb Mar Apr May Jun

Diagram 13

Find the modal score A 40 B 50 C 60 D 75 27. Which of the following points lie on the graph of y = 2 x 2 + 5 A ( 0,7 ) B ( 1,3 ) C ( 2,3 ) D ( 3,23 )SULIT

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FORECAST PAPER PMR 2009SULIT 3472/1 3472 28. Mr. Harris drives to his office at the average speed of 70km per hour. The distance between his house and his office is 14km. If he leaves his house at 7.50am, what is the time when he reach his office? A 8.00 am B 8.01 am C 8.02 am D 8.03 am

29.

Diagram 14 shows a solid cylinder rod made of iron. The length of the cylinder is 15cm and the diameter is 4.2