1. SEMINAR TEKNIK MENJAWAB SOALAN PMR MATEMATIK (KERTAS 1 &2) Maahad Ar-Rahmah, Solok Gaung, Melaka 22 Ogos 2010

2. PEMBAHAGIAN MARKAH KERTAS 1 : (OBJEKTIF – Aneka Pilihan) Bil soalan : 40 Markah : 40 Topik : Semua Masa : 1 Jam 15 Minit * Boleh Guna Kalkulator KERTAS 2 : (SUBJEKTIF) Bil soalan : 20 Markah : 60 Topik : Pilihan Masa : 1 Jam 45 Minit * Tidak Boleh Guna Kalkulator JUMLAH MARKAH: K1 + K2 = 100 MARKAH

3. TOPIK² PENTING MATEMATIK (Kertas II PMR)      GEOMETRICAL CONSTRUCTIONS 10      LOCI IN TWO DIMENSIONS 9  SOLID GEOMETRY I 8      STATISTICS I & II 7      TRANSFORMATIONS I & II 6      ALGEBRAIC EXPRESSIONS I,II,III 5      LINEAR EQUATIONS I & II 4      SQUARES, SQUARE ROOTS, CUBES & CUBE ROOTS 3      WHOLE NUMBERS / FRACTIONS / DECIMALS 2     INTEGERS / DIRECTED NUMBERS 1 09 08 07 06 05 PMR TOPIK BIL

4. TOPIK² PENTING MATEMATIK (Kertas II PMR)      TRIGONOMETRY 16      GRAPHS OF FUNCTIONS 15      LINEAR INEQUALITIES 14      INDICES 13      ALGEBRAIC FORMULAE 12    SCALE DRAWING 11 09 08 07 06 05 PMR TOPIK BIL

6. INTEGERS / DIRECTED NUMBERS 1 [ 2 marks] Directed Numbers 2009 - 2008 Integers 2007 Directed Numbers 2006 Directed Numbers 2005 Topic Year

7. Q.1: Directed Numbers Calculate the value of Answer : (1) (1)

8. WHOLE NUMBERS / FRACTIONS / DECIMALS 2 [ 2 marks] - 2009 Fractions 2008 Decimals 2007 Fractions 2006 Whole Numbers 2005 Topic Year

9. Q.2: Decimals Answer : (1) (1) express the answer as a decimal Calculate the value of

10. SQUARES, SQUARE ROOTS, CUBES, CUBE ROOTS 3 [ 1 + 2 =3 marks]      2009 2008 2007 2006 2005

11. Q.3: Squares,Square Roots, Cubes & Cube Roots (a) Answer : (1)

12. Q.3: Squares,Square Roots, Cubes & Cube Roots (b) Answer : (1) (1)

13. ENLARGEMENT (SIMILARITY) 4 [ 2 marks]    - - 2009 2008 2007 2006 2005

14. Q.4: Enlargement (Similarity) In Diagram 4, triangle XYZ and triangle FGH are similar. Answer : 70° 70° or State: (a) The angle in triangle FGH which corresponds to

15. Q.4: Enlargement (Similarity) In Diagram 4, triangle XYZ and triangle FGH are similar. State: (b) The side of triangle FGH which corresponds to the side XY of triangle XYZ. Answer : 70° 70° FG or GF

16. TRIGONOMETRY 5 [ 3 marks]      2009 2008 2007 2006 2005

17. Q.5: Trigonometry In Diagram 5, JKL and LMN are right angled triangles. (a) Calculate the length, in cm, of LM. Answer : Given that: (3) (5) (4) 6 cm 8 cm KL = 6cm LM = KM – KL LM = 19cm – 6cm LM = 13cm (1) (1) 13 cm

18. Q.5: Trigonometry 5 cm In Diagram 5, JKL and LMN are right angled triangles. Given that: (3) (5) (4) 6 cm 8 cm 13 cm (1) (b) Find the value of tan y°. Answer :

19. TRANSFORMATIONS 6 & 7 Marks Topics Year Reflections Reflections Reflections Reflections Reflections - Rotations - Translations Translations & Rotations 2 2009 4 2008 2 2007 2+2=4 2006 2+4=6 2005

20. Q.6: Transformation I (Translation) Diagram 6 in the answer space shows polygon Q drawn on the square grid of 1 unit. Q‘ is the image of Q under a translation . Draw the image of Q. Q’

21. Q.7: Transformation II (Enlargement) Diagram 7 shows two triangles, ABC and A’B’C’, drawn on a Cartesian Plane. A’B’C’ is the image of ABC under transformation G. Describe in full transformation G . Answer : (13,0) Transformation G is an Enlargement Scale factor Centre (1) (1) (1) (13,0)

22. ALGEBRAIC EXPRESSIONS 8 & 9 2 marks / [ 1 + 2 =3 marks]      2009 2008 2007 2006 2005

24. Q.9: Algebraic Expressions III (Factorisation) Factorise completely: 81m² – 9 Answer : 9(9m² – 1) = 9(3m – 1)(3m + 1) = 9(3²m² – 1²) (1) (1)

25. LOCI IN TWO DIMENSIONS 10 [5 marks]      2009 2008 2007 2006 2005

27. Q.10: Loci in Two Dimensions Answer: 1 2 3 Locus X 1

28. Q.10: Loci in Two Dimensions Answer: Locus X 4 4 Locus Y 5

29. Q.10: Loci in Two Dimensions Answer: Locus X Locus Y Point of intersection

30. GEOMETRICAL CONSTRUCTIONS 11 [5 marks]      2009 2008 2007 2006 2005

31. Q.11: Geometrical Constructions 11 (a) Diagram 11.1 shows a quadrilateral ABCD. Measure using a protractor. Answer : 113° ± 1°

32. Q.11: Geometrical Constructions 11 (b) Diagram 11.2 shows a triangle PQR. By using only a ruler and a pair of compasses, construct triangle PQR on the straight line PQ provided in the answer space.

33. Q.11: Geometrical Constructions Answer : 11 (b) 2 1 3 4

34. ALGEBRAIC EXPRESSIONS III (Algebraic Fractions) 12 [3 marks]      2009 2008 2007 2006 2005

35. Q.12: Algebraic Expressions III (Algebraic Fractions) Express as a single fraction in its simplest form. Answer : (1) (1) (1)

36. ALGEBRAIC FORMULAE 13 [3 marks]      2009 2008 2007 2006 2005

37. Q.13: Algebraic Formulae Given that , express m in terms of p Answer : (1) (1) (1)

38. LINEAR EQUATIONS 14 [1 + 2 = 3 marks]      2009 2008 2007 2006 2005

40. INDICES 15 & 16 [1 + 2 = 3 marks] / [3 marks]      2009 2008 2007 2006 2005

42. Q.16: Indices Evaluate: Answer : (1) (1) (1)

43. LINEAR INEQUALITIES 17 [3 marks]      2009 2008 2007 2006 2005

44. Q.17: Linear Inequalities List all the integer values of x which satisfy both the inequalities and Answer : x= 7,8,9 (1) (1) (1)

45. STATISTICS I (Charts) 18 & 19 2 marks / [ 1 + 2 =3 marks] Horizontal Bar Chart 2009 Pie Chart 2008 Vertical Bar Chart 2007 Line Graph 2006 Pie Chart 2005 Topic Year

47. Q.19: Statistics I (Horizontal Bar Chart) Table 19 shows the favourite hobbies of a group of students On Diagram 19 in the answer space, the information for Reading is shown in the bar chart. Complete the bar chart to represent all the information in Table 19.

48. Q.19: Statistics I (Horizontal Bar Chart) Answer:

49. GRAPHS OF FUNCTIONS 20 [3 marks]      2009 2008 2007 2006 2005

51. Q.20: Graphs of Functions Answer: 5 10 15 20 25 30 35 40

52. Q.20: Graphs of Functions Answer:

53. SESI SOAL JAWAB

54. Sekian, Terima Kasih