Answers. 1 Penerbitan Pelangi Sdn. Bhd. Question Bank. Mathematics Form 5 Answers

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1 Mathematics Form nswers nswers Form hapter Question Bank Standard Form... (a)... (a). (a) (a)... (a) (i) N = {c, d, e, f, g} (ii) M N = {c, f, g} (i) (ii). (a) =, y =. (a) B B hapter Quadratic Epressions and Equations. (a). (a) ( ) (y )(y + ). (a) ( ) ( + )( ). (a) = or = p = or p = = atau = p = atau p =. (a) y = q = or q = q = atau q =. (a) ( )( + ) m = or m = hapter Set. (a). (a) m = atau m = P R B Q P Q R B. (a) = {,,, }; J = {,,, } I J = {, } hapter Mathematical Reasoning. (a) Yes. It is a true statement. Ya. Ia adalah pernyataan benar. Yes. It is a false statement. Ya. Ia adalah pernyataan palsu. No. It cannot be determined either true or false. Tidak. Ia tidak dapat ditentukan sama ada benar atau palsu.. (a) Some ll Sebilangan Semua. (a) ntecedent: B ntejadian: B onsequence: B = kibat: B = Implication I : If ( m) = ( ), then m =. Implikasi I : Jika ( m) = ( ), maka m =. Implication II : If m =, then ( m) = ( ). Implikasi II : Jika m =, maka ( m) = ( ).. (a) (i) = (ii) (i) = or = = atau = (ii) = and = = dan =. (a) (i) True (ii) False Benar Palsu m can be divided by. m boleh dibahagi dengan.. (a) If a b, then a b; true Jika a b, maka a b; benar cos Kos Penerbitan Pelangi Sdn. Bhd.

2 Mathematics Form nswers. (a) (i) Line B and line D are not parallel. Garis B dan garis D tidak selari. (ii) ll prime numbers which are greater than are odd numbers. Semua nombor perdana yang lebih besar daripada adalah nombor ganjil. + n, n =,,,,. (a) If p is a multiple of, then p is a multiple of. Jika p ialah gandaan, maka p ialah gandaan. n n +, n =,,, Set has subsets. Set mempunyai subset.. (a) Score Skor. hapter The Straight Line. (a). (a) y = +. (a) P(, ) y = +. (a) L(, ) ; y =. (a) y = S,, I(, ). (a) J, hapter. (a) kg. kg Statistics III /. (a) Length Panjang (cm) Score / Skor Upper boundary Sempadan atas umulative frequency longgokan..... / Weight / Jisim (kg) Penerbitan Pelangi Sdn. Bhd.

3 Mathematics Form nswers umulative frequency / longgokan umulative frequency / longgokan (i) cm (ii). (a) eight (cm) Tinggi (cm) eight Tinggi (cm) Length / Panjang (cm) Upper boundary Sempadan atas umulative frequency longgokan (a) (d).% Score Skor (%) Midpoint Titik tengah eight / Tinggi (cm) Upper boundary Sempadan atas umulative frequency longgokan (i) ( )% (ii).% Penerbitan Pelangi Sdn. Bhd.

4 Mathematics Form nswers umulative frequency / longgokan.. (d).% Score / Skor (%). (a) Graph I: y = cos Graf I: y = kos Graph II: y = sin Graf II: y = sin P(,.). (a) cm. (a)... (a). cm.. (a) cm hapter ngles of Elevation and Depression. (a). m. m. (a). m. (a). (a). m. (a).. (a). hapter Probability I. (a). (a). (a).. (a). (a). (a) hapter ircles III. (a). (a). (a). (a). (a). (a). cm hapter Trigonometry II. (a) (i). (ii). (iii)., hapter Lines and Planes in Three Dimensions. (a) BD FG GBF (d) DG. (a) PXS (i). cm (ii). (a). cm KGJ. (a) EB. cm. (a). cm. (a) QTR Form hapter Number Bases hapter. y Graphs of Functions II y =. m =, n =. b =, c =., + y, y + Penerbitan Pelangi Sdn. Bhd.

5 Mathematics Form nswers. (a) a =, b = y (i). (ii). (a) p =, q = y y =.. (a) (i) (, ) (ii) (, ) Transformation S is a rotation of anticlockwise about the origin. Penjelmaan S ialah satu putaran lawan arah jam pada asalan. Transformation R is a translation. Penjelmaan R ialah satu translasi.. (a) (i) (, ) (ii) (, ) (i) Transformation Y is a reflection in the y-ais. Penjelmaan Y ialah satu pantulan pada paksi-y. Transformation X is an enlargement at point (, ) with a scale factor of. Penjelmaan X ialah satu pembesaran pada titik (, ) dengan faktor skala. (ii) unit. (a) (i) (, ) (ii) (, ) (i) Transformation Q is a rotation of clockwise about (, ). Penjelmaan Q ialah satu putaran ikut arah jam pada (, ). Transformation P is an enlargement at point (, ) with a scale factor of. Penjelmaan P ialah satu pembesaran pada titik (, ) dengan faktor skala. (ii) m.... y = (i). (ii). (d).,. hapter. (, ). P(, ). Q(, ). R(, ) Transformations III y = + hapter Matrices. p =, q =.... (a) =, y =. (a) k =, m = =, y =. (a) =, y = hapter Variations... Penerbitan Pelangi Sdn. Bhd.

6 Mathematics Form nswers.... ±. F = m n hapter Gradient and rea under a Graph. (a) m. m s. (a) m. (a). m s m m. (a) km h km j km. (a) m hapter Probability II (a). (a). (a) S = {(R, B), (R, G), (P, B), (P, G), (Y, B), (Y, G)} S = {(M, ), (M, K), (U, ), (U, K), (K, ), (K, K)} hapter. Q( N, W) Q( U, B). W B. N U. Q(, E) Q(, T) Earth as a Sphere. (a) B( N, W) B( U, B) ( S, W) ( S, B) nautical miles batu nautika (d) (i). nautical miles. batu nautika (ii). knots. knot. (a) B( S,. E) B( S,. T) ( S,. E) ( S,. T) (i). nautical miles. batu nautika (ii). knots. knot hapter. (a) L/O cm E/F cm Plans and Elevations cm M/J cm N/K /G I/D. (a) S = {(S, ), (S, L), (S, T), (, S), (, L), (, T), (L, S), (L, ), (L, T), (T, S), (T, ), (T, L)} /B /E /L cm cm N /M hapter Bearing (a) cm I / cm B /F /O cm K /J cm /D /G /B N/E I cm cm D/K/F M/L cm cm G/J/O Penerbitan Pelangi Sdn. Bhd.

7 Mathematics Form nswers. (a) F/J G/ I. (a) J/F E/ cm cm cm cm /E B/ D. cm /F cm B/G cm / I /G (i) D cm cm /B K/M cm N cm B / cm E/J cm G /F D/I (ii) cm L/I/ cm D/ L/K F/G O J cm cm E /B cm E/J /F cm cm cm D /E cm I /J D/I cm cm cm //M O/N B/G. (a) E G cm F Specimen Paper (i) /D (ii) cm cm B/ E / /R /D S /T cm F /I /B G /L / cm cm cm J /M cm Q /K /N P /O G / Paper. B... D... B.... B. D... B. D. D..... D... B. D... B... D.. B..... D. Paper. (a) P Q F /E cm J /I cm M /B / cm cm Q /R P /S K /L cm cm N / /D O /T P R Q R Penerbitan Pelangi Sdn. Bhd.

8 Mathematics Form nswers. =, y =. =,... (a) = cm. (a) True statement Pernyataan benar The product of gradient of line PQ and gradient of line RS is. asil darab kecerunan garis PQ dan kecerunan garis RS ialah. (i) Statement Pernyataan (ii) Not a statement Bukan satu pernyataan. (a) cm. cm. (a). (a) y = + k =. (a).. y. (a) m s k =. m s = ; =, y = ( ) cm. cm (d) eight / Tinggi (cm). (a) (i) (, ) (ii) (, ) (iii) (, ) (i) P is an enlargement at centre (, ) with scale factor ; P ialah satu pembesaran pada pusat (, ) dengan faktor skala ;. (a) D cm E Q is a reflection in the line y = +. Q ialah satu pantulan pada garis y = +. (ii) m cm. (a) lass interval Selang kelas Midpoint Titik tengah /I/B cm G/F Penerbitan Pelangi Sdn. Bhd.

9 Mathematics Form nswers (i) D/. (a) h =., k = /E y cm. y = y = cm B/F cm /G... (ii) E/F G cm (i). (ii). (d) =.,. /B cm cm cm D/I. (a) B( S, E) B( S, T) N U nautical miles batu nautika (d). knots. knot Penerbitan Pelangi Sdn. Bhd.

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