1 / 49

PENILAIAN MENENGAH RENDAH

PENILAIAN MENENGAH RENDAH. 2011. MATEMATIK Kertas 2 50/2. Skema Pemarkahan. Calculate the value of: Hitung nilai bagi:. K1. N1. 2. Calculate the value of: Hitung nilai bagi:. 0.84 or 20 or 2  0.7 or. 1.4 or or. K1. N1.

prince
Télécharger la présentation

PENILAIAN MENENGAH RENDAH

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. PENILAIAN MENENGAH RENDAH 2011 MATEMATIK Kertas 2 50/2 Skema Pemarkahan

  2. Calculate the value of: • Hitung nilai bagi: K1 N1

  3. 2. Calculate the value of: Hitung nilai bagi: 0.84 or 20 or 20.7 or 1.4 or or K1 N1 Bila calon telah melakukan 1 operasi, dia layak untuk mendapatK1

  4. 3. (a) Find the value of: Cari nilai bagi: N1 or 0.5

  5. 3 (b) Calculate the value of: Hitung nilai bagi: K1 N1

  6. Solve each of the following linear equations: • Selesaikan tiap-tiap persamaan linear berikut: N1 K1 N1 3x – x = 12orx – 3x = – 12 oror equivalent K1 3(x – 4) = x 3(6 – 4) = 6 3(2) = 6 => x = 6 K1N1 Terima kes CUBA JAYA

  7. Diagram 5 in the answer space shows a quadrilateral PQRS drawn on a grid of equal squares. The line Q’R’ is the image of QR under a rotation of 90o clockwise about the point M. • On Diagram 5, complete the image of quadrilateral PQRS. Rajah 5 di ruang jawapan menunjukkan sebuah sisi empat PQRS yang dilukis pada grid segi empat sama yang besar. Garis Q’R’ ialah imej bagi QR di bawah suatu putaran 90o mengikut arah jam pada titik M. Pada Rajah 5, lengkapkan imej bagi sisi empat PQRS.

  8. 5.

  9. 5. N2 Image correctly drawn Note : 1. Award 1 mark : any one corresponding side drawn correctly or correct image drawn using dotted lines or correct image drawn by sketching. 2. Ignore labels 3. Allow Gap or extension line of a square grid.

  10. 6. Diagram 6 shows two quadrilaterals, JKLM and J’K’L’M’, drawn on a grid of equal squares with sides of 1 unit. Rajah 6 menunjukkan dua sisi empat JKLM dan J’K’L’M’, yang dilukis pada grid segi empat sama yang sama besar bersisi 1 unit. J’K’L’M’ is the image of JKLM under the translation Find the value of x and y. J’K’L’M’ialah imej bagiJKLM di bawah suatu translasi Cari nilai x dan nilai y.

  11. 6. 6 - 2 x = 6 y = -2 P1 Note: Terima P1

  12. 7. Factorise completely each of the following expressions: Faktorkan selengkapnya tiap-tiap ungkapan berikut: (a) 3m - mk = m (3 – k ) P1 (b) 4x – xy 2 = x (4– y 2 ) P1 Nota: (2x – xy)(2 + y) P1 = x (22– y 2 ) Direct answerP1N1 = x ( 2 – y )(2 + y) N1

  13. Simplify: • Ringkaskan: (a) n – ( p – 2n ) = n – p + 2n = 3n – p N1

  14. 8 (b) or 3 30def K1 or N1 or Nota: Mana-mana 2 operasi dilakukan dengan betul K1

  15. Kes 1: 3 K1N1 Kes 2: K0N0

  16. 9 Express as a single fraction in its simplest form. Ungkapkan sebagai satu pecahan tunggal dalam bentuk termudah. K1 K1 N1

  17. Solve each of the following inequalities: • Selesaikan tiap-tiap ketaksamaan berikut: N1 K1 N1

  18. Given k = km – 8, express m in terms of k. • Diberi k = km – 8, ungkapkan m dalam sebutan k. k = km – 8 k + 8 = km P1 or N1 P1 N0 Direct answerP1N1

  19. Simplify each of the following: • Permudahkan tiap-tiap yang berikut: N1 K1 d8 or e4 or e7 N1 N0

  20. Evaluate: • Nilaikan: K1 K1 N1

  21. 13. or or or K1 K1 or or N1 4

  22. Diagram 14 is a pictogram which shows the number of cars in a car park. The number of black cars is not shown. • Rajah 14 ialah piktogram yang menunjukkan bilangan kereta di tempat letak kereta. Bilangan kereta berwarna hitam tidak ditunjukkan.

  23. 14 It is given that the total number of cars in the car park is 60. Diberi bahawa jumlah bilangan kereta di tempat letak kereta itu ialah 60 buah.

  24. 14(a)15 N2 14(b)Red cars N1

  25. 14(a) 60 – (3  5 + 4  5 + 2  5) or 60 – 45 or equivalent K1 15N1 Tanpa Kerja K1N1 Note : Award P1 if 3 symbols are drawn in black cars row (b) red or merah N1

  26. 15. Table 15 shows the number of gold medals won by five sport houses during the sports day. Jadual 15 menunjukkan bilangan pingat emas yang dimenangi oleh lima rumah sukan semasa hari sukan. Table 15/ Jadual 15

  27. Diagram 15 is an incomplete pie chart showing the angles representing the number of gold medals won by the sport houses. Angles for Tuah and Lekir are not shown. Complete the pie chart to represent all the information in Table 15. Rajah 15 ialah carta pai yang tidak lengkap yang menunjukkan sudut yang mewakili bilangan pingat emas yang dimenangi oleh rumah-rumah sukan itu. Sudut bagi Tuah dan Lekir tidak ditunjukkan. Lengkapkan carta pai itu untuk mewakili semua maklumat dalam Jadual 15.

  28. N1 N1 Lekir N1 60o N1 120o Tuah N1

  29. 15. 120 N1 60 N1 Sector drawn correctly  1o N1 Tuah correctly labelled N1 Lekir correctly labelled N1 Note : N1N1

  30. (a) Diagram 16.1 shows a square PQRS. P Q S R Diagram 16.1 X is a moving point inside the square such that SX = XQ. By using the letters in Diagram 16.1, state the locus of X. Answer: PR P1

  31. 16 (b) Diagram 16.2 in the answer space shows a circle with chord MN, drawn on a grid of equal squares with sides of 1 unit. Y and Z are two moving points inside the circle. • On Diagram 16.2, draw • (a) the locus of the point Y which moves such that its distance is constantly 3 units from the chord MN. • (b) the locus of the point Z which moves such that it is always equidistant from point M and N. • (ii) Hence, mark with the symbol  the intersection of the locus of Y and the locus of Z.

  32. 16 locus Z  locus Y (b)(i) (a) Locus of Y correctly drawn K1 (b) Locus of Z correctly drawn K1 (ii) Intersection point mark correctly. N1

  33. Diagram 17.1 shows a pentagon JKLMN. • Rajah 17.1 menunjukkan sebuah pentagon JKLMN. Using only a ruler and a pair of compasses, construct Diagram 17.1, beginning from the straight lines LM and MN provided in Diagram 17.2, in the answer space. Menggunakan pembaris dan jangka lukis sahaja, bina Rajah 17.1, bermula dengan garis lurus LM dan MN yang disediakan pada Rajah 17.2, di ruang jawapan.

  34. N1 N1 N1 N1 N1

  35. 17. (a)(i) Correct construction of 120o 2oat L N1 Line segment LK = 5  0.2 cmN1 Correct construction of 90o 2oat K N1 Line segment KJ = 6  0.2 cm N1 Complete diagram (All correct ) N1

  36. 17. J K N M L

  37. KaedahPemarkahan :

  38. Use the graph paper in the answer space to answer this question. • Guna kertas graf di ruangan jawapan untuk menjawab soalan ini. • Table 18 shows the values of two variables, x and y, of a function. • Jadual 18 menunjukkan nilai-nilai dua pembolehubah, x dan y, bagi suatu fungsi. Table 18

  39. The x-axis and y-axis are provided on the graph paper. • Paksi-x dan paksi-y telah disediakan pada kertas graf. • Using the scale of 2 cm to 5 units, complete and label the y-axis. • Based on Table 18, plot all the points on the graph paper. • Hence, draw the graph of the function.

  40. Scale : 2 cm to 5 units K1 Uniform scale 7 points plotted correctly K2 N1 Smooth curve

  41. 13 12 -30 -33

  42. 18. • All 7 points correctly plotted K2 Note : 1. Allow K2 if points are not plotted but curve passes through all the 7 points. 2. 6 or 5 points plotted correctly or curve passes through 6 or 5 points, award K1 3. If scale is not written but all the points are plotted correctly, award K1K2

  43. 18. • Smooth curve passes through all the 7 points N1 Note : For other scale on the y-axis, deduct 1 mark from the marks obtained.

  44. 19 In Diagram 19, trapezium ABCD and trapezium PQRS are similar. • Name • The angle in trapezium PQRS which corresponds to BCD. • The side in trapezium PQRS which corresponds to the side CD. Answer : (a) QRS (b) RS

  45. or 19(a) or P1 Note : Accept if just letter(s) is/are used 19(b)RSorSR P1 Note: Q,R,S or R,SP0

  46. P xo 13cm 12cm Q T R yo 8cm Diagram 20 Rajah 20 20 In Diagram 20, PQR and TSR are right angled triangles. TQR is a straight line. Dalam Rajah 20, PQR dan TSR ialah segi tiga bersudut tegak. TQR ialah garis lurus. • Find the value of cos xo. • Given that tan yo , • calculate the length, in cm, bagi QT. Answer: S • (b) QT =17 – 5 cm • = 12 cm TR = 17 cm

  47. P xo 13cm 12cm Q T R yo 8cm S 20(a) N1 (b) TR = 17 or QR = 5 and SR = 15 QT = 12 K1 N1 Note : i) QR = 5 or SR = 15 award P1

  48. Thank YouTerima Kasih

More Related