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1 Mathematics Paper Sept. 8 4 hours PEPERIKSN PERCUBN SIJIL PELJRN MLYSI 8 SEKOLH-SEKOLH MENENGH ZON KUCHING MTHEMTICS Paper One hour fifteen minutes DO NOT OPEN THIS BOOKLET UNTIL YOU RE TOLD TO DO SO. This question paper consists of 4 questions.. nswer all questions.. Each question is followed by four alternative answers,, B, C or D. For each question, choose one answer only. Blacken your answer on the objective answer sheet provided. 4. If you wish to change your answer, erase the blackened mark that you have made. 5. The diagrams in the questions provided are not drawn to scale unless stated. 6. list of formulae is provided on pages to. 7. You may use a non-programmable scientific calculator. This question paper consists of printed pages.

2 MTHEMTICL FORMULE The following formulae may be helpful in answering the questions. The symbols given are the ones commonly used. RELTIONS a m a n a m n Pythagoras Theorem c a b a m n m n a a m y x y x m n mn a a 4 d b 4 ad bc c a n P n 5, S 6 P P m = y intercept x intercept 7 Distance x x y y x y y x 8 Midpoint, x, y, 9 verage speed = distance travelled time taken Mean = Mean = sum of data number of data Sum of ( class mark frequency ) Sum of frequencies

3 SHPES ND SPCE rea = sum of parallel sides height Circumference of circle = d r rea of circle r 4 Curved surface of cylinder r h 5 Surface area of sphere 4 r 6 Volume of right prism = cross sectional area length 7 Volume of cylinder r h 8 Volume of cone r h 9 Volume of sphere 4 r Volume of right pyramid base area height Sum of interior angles of a polygon n 8 arc length circumference of circle = angle subtended at centre 6 o area of sector area of circle = angle subtended at centre 6 o 4 Scale factor, k =, P P 5 rea of image k area of object

4 4. Round off.6 to two significant figures.. B. C. D.4. Calculate the value of and round off the answer to two significant figures. 59 B 59 C 59 D 59. The area of a rectangular piece of land is.9 km. If its length is 4 8 m, find its width, in m..9 x B.9 x C.9 x D.9 x 4. Given g of metal X contains 5.8 atoms. Calculate the number of atoms in.7 kg of metal X and express the answer in the standard form. B C D Express 57 8 as a number in base five. 5 B 5 C 5 D 5

5 5 6. Given that M =, find the value of M. B C D 7. Diagram shows a rhombus PQRS. Q P 5x o x o R y o S Diagram The value of y is 8 B 7 C 9 D 8

6 6 8. In Diagram, PQRUV is a regular pentagon. PRS and VUT are two straight lines which are parallel. Q P x o y o R S V Find the value of x + y. 7 B 8 C 44 D 8 U Diagram T 9. In Diagram, PQ is a tangent to the circle QRSTU at Q and the length of the arc QU is two and half times the length of the arc QR. The value of m is B 5 C 7 D Diagram

7 7. Q R 4 cm S 8 cm Diagram 4 In Diagram 4, R, S and T are three points on a horizontal ground and SQ is a vertical pole. The angle of elevation of Q from R is 49 o. Calculate the angle of depression of T from Q. 9 o 54 B 6 o C 46 o D 6 o 6 T. It is given that sin =.997 and 8 o 7 o. Find the value of. 9 o B o C 4 o D 5 o

8 8. In Diagram 5, PQRT is a rectangle. S is the midpoint of RT. P T 6 cm x o S Q 4 cm R Diagram 5 Find the value of cos x o. B C D

9 9. In the Diagram 6 shows a right prism with an isosceles triangle PQR as its horizontal base. M and N are the midpoints of PR and SU respectively. T S N U Q R P M Diagram 6 Name the angle between plane PQR and plane UQS. NQR B SQM C NQM D UQM 4. In Diagram 7, P lies to the South of Q. Q P 45 o 5 o R Diagram 7 The bearing of Q from R is B 5 C D

10 5. In Diagram 8, N is the North Pole, S is the South Pole, NOS is the axis of the earth and LK is the diameter of the parallel of latitude. N L M 7 O 55 K 5 S J S 4 E Diagram 8 Given that JOK 55, the position of M is N, 77 W B N, 57 W C N, 6 W D N, 7 W

11 6. II I Diagram 9 Diagram 9 is drawn on a square grid. quadrilateral I under a translation T. T is Quadrilateral II is the image of B C D

12 7. Diagram shows two trapeziums P and Q, drawn on square grids. Q P D B C Diagram Q is the image of P under an enlargement. Which of the points, B, C or D, is the centre of the enlargement? 8. Diagram shows a few points on a Cartesian plane. P y D B C 4 x Diagram Which of the points, B, C, or D, is the image of the point P under rotation 9 clockwise about centre,?

13 9. (x y) + 5xy = x xy + 9y B x + xy + 9y C x 8xy + 9y D x + 5xy + 9y. Given that 5 4( m) 6m, calculate the value of m. 5 B C D 9. x( y x) ( x y ) 7x y B 7x y C 7x 6xy y D 7x 6xy y

14 4. Given that m, then n = n B C D m m m m. Simplify m - n m n 9n m 5 n B mn 5 C D m 5 n m n Given that 4 8 x = x, find the value of x. - B - C D 5. List all the integers x that satisfy the inequalities 4 x x < x.,, B,,, 4 C -,,,, D -,,,,, 4

15 5 6. List all the integers x which satisfy both the inequalities x 5x and (x + 6) < 4.,, B -,,, C,,, D -,,,, 7. Given that x 6 4 B C D x = ( - 9 ), find the value of x. 8. Given that m B C 4 D m = - 4 4, calculate the value of m = B C D

16 6. Which of the following is a sketch of the graph, y = - x? y x B y x C y x D y - x

17 7. In the diagram, the gradient of the line MN is. The x intercept is 5 y N x M(, -) Diagram 5 B 4 C D. Given n(ξ) = 5, n(p Q) = 8, n(p Q) = and n(q) =, find n(p). B C 9 D. Diagram is a Venn Diagram showing the number of elements in sets P, Q and R. If n(q R) = n (P ), then k = Q P k 4 5 k - R 4 B 5 C 6 D 7 Diagram

18 8 4. J L Diagram 4 K Diagram 4 is a Venn Diagram showing the sets J, K and L. representing the shaded region is (K L) J B J (K L) C (J K L) D (J K) (K L) The set 5. Given that w varies inversely as the square root of u and w = when u = 6. Calculate the value of u when w = 9. B 4 C D Table shows the values of the variables P, Q and R, which satisfy the Q relationship P. R P 4 Q n R 7 Calculate the value of n. 7 B 8 C 6 D 5 Table

19 9 7. Table shows the number of doctors from three cities. City Gender Male Female X 5 Y 5 5 Z 5 Table If a female doctor is picked at random, find the probability of picking a female doctor from city Y. B C D bag has yellow beads, green beads and some blue beads. If a bead is 5 selected at random from the bag, the probability of selecting a green bead is. The number of blue beads in the bag is 8 B C D 6

20 9. Score 4 Number of participants 8 6 Table Table above shows the scores obtained by a group of participants in a game. The percentage of the participants who obtained more than mode is 6 B 6 C 58 D Grade B C D Number of candidates 5 m 8 Table 4 Table 4 above shows the result obtained by a group of candidates in a Mathematics examination. If the information above is represented by a pie chart, the angle of the sector representing the number of students who obtained Grade C is 96. Find the value of m. 5 B 4 C 4 D 45 END OF QUESTION PPER

21 NSWER FOR MTHEMTICS ZONE PPER 8 Questions nswer D B B 4 B 5 C 6 B 7 B 8 D 9 B D B C 4 D D 8 C 9 C B C C B 7 B 8 9 C C 4 B 5 B 6 B 7 8 D 9 C 4 D

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SULIT 1449/1 ppr maths nbk SEKTOR SEKOLAH BERASRAMA PENUH BAHAGIAN SEKOLAH KEMENTERIAN PELAJARAN MALAYSIA PEPERIKSAAN DIAGNOSTIK TINGKATAN 449/ 449/ Matematik Kertas Oktober 007 4 jam SEKTOR SEKOLAH ERASRAMA PENUH AHAGIAN SEKOLAH KEMENTERIAN PELAJARAN MALAYSIA PEPERIKSAAN IAGNOSTIK TINGKATAN 4 007 MATEMATIK Kertas Satu jam lima belas minit