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**MATHEMATICAL FORMULAE** The following formulae may help you in answering the questions. The symbols given are the ones commonly used.    \[40 marks\] Answer **all** questions *Jawab semua soalan* +------------------------------...

**MATHEMATICAL FORMULAE** The following formulae may help you in answering the questions. The symbols given are the ones commonly used.    \[40 marks\] Answer **all** questions *Jawab semua soalan* +-----------------------------------+-----------------------------------+ | 1. | Round off 199 572 correct to | | | three significant figures. | | | | | | *Bundarkan 199 572 betul kepada | | | tiga angka bererti.* | | | | | | +------------------------------+ | | | | D. {.math.inline} | | | | | | | +==============================+ | | | | A. [100 000]{.math.inline} | | | | +------------------------------+ | | | | B. [199 000]{.math.inline} | | | | +------------------------------+ | | | | C. [200 000]{.math.inline} | | | | +------------------------------+ | | | | | | | | +------------------------------+ | +===================================+===================================+ | 2. | \ | | | [0.00074 --9 × 10^ − 5^ =]{.math | | |.display}\ | | | | | | +------------------------------+ | | | | D. [6.5 × 10^ − 5^ ]{.math | | | | |.inline} | | | | | | | +==============================+ | | | | A. [6.5 × 10^ − 4^ ]{.math | | | | |.inline} | | | | +------------------------------+ | | | | B. [1.6 × 10^ − 4^ ]{.math | | | | |.inline} | | | | +------------------------------+ | | | | C. [1.6 × 10^ − 3^ ]{.math | | | | |.inline} | | | | +------------------------------+ | | | | | | | | +------------------------------+ | +-----------------------------------+-----------------------------------+ | 3. | Diagram 1 shows a scale drawing | | | of a rectangular piece of land. | | | | | | *Rajah 1 menunjukkan lukisan | | | berskala bagi sebidang tanah | | | berbentuk segi empat tepat.* | | | | | | ***Diagram 1*** | | | | | | ***Rajah 1*** | | | | | | Given the scale used is 1 : 200 | | | 000. Calculate the actual area, | | | in [*m*^2^]{.math.inline}, of | | | the land. | | | | | | *Diberi skala yang digunakan | | | ialah 1 : 200 000. Hitung luas | | | sebenar, dalam* [*m*^2^]{.math | | |.inline}*, tanah itu.* | | | | | | +--------------+--------------+ | | | | C. [1.6 × 1 | D. [6.4 × 1 | | | | | 0^8^]{.math | 0^8^]{.math | | | | |.inline} |.inline} | | | | | | | +==============+==============+ | | | | A. [1.6 × 1 | B. 6.4 × | | | | | 0^12^]{.math | [10^12^] | | | | |.inline} | {.math | | | | | |.inline} | | | | +--------------+--------------+ | | | | | | | | | +--------------+--------------+ | +-----------------------------------+-----------------------------------+ | | | +-----------------------------------+-----------------------------------+ | 4. | Given | | | [*y*~7~ = (3 × 7^4^) + (4 × 7^3^) | | |  + 9]{.math | | |.inline}, find the value of | | | [*y*]{.math.inline}. | | | | | | *Diberi* | | | [*y*~7~ = (3 × 7^4^) + (4 × 7^3^) | | |  + 9]{.math | | |.inline}*, cari nilai* | | | [*y*]{.math.inline}*.* | | | | | | +--------------+--------------+ | | | | C. {.m | D. {. | | | | | ath | math | | | | |.inline} |.inline} | | | | | | | +==============+==============+ | | | | A. { | B. { | | | | |.math |.math | | | | |.inline} |.inline} | | | | +--------------+--------------+ | | | | | | | | | +--------------+--------------+ | +-----------------------------------+-----------------------------------+ | 5. | Given [3023~4~]{.math.inline} + | | | [*P*~4~]{.math.inline} = | | | [10032~4~]{.math.inline}, find | | | the value of [*P*]{.math | | |.inline}. | | | | | | *Given* [3023~4~]{.math.inline} | | | + [*P*~4~]{.math.inline} = | | | [10032~4~]{.math.inline}*, find | | | the value of* [*P*]{.math | | |.inline}*.* | | | | | | +--------------+--------------+ | | | | C. {.m | D. {.m | | | | | ath | ath | | | | |.inline} |.inline} | | | | | | | +==============+==============+ | | | | A. {. | B. {. | | | | | math | math | | | | |.inline} |.inline} | | | | +--------------+--------------+ | | | | | | | | | +--------------+--------------+ | +-----------------------------------+-----------------------------------+ | 6. | Diagram 2 shows an isosceles | | | triangle PQR. | | | | | | *Rajah 2 menunjukkan sebuah segi | | | tiga sama kaki PQR.* | | | | | |  | | | | | | ***Diagram 2*** | | | | | | ***Rajah 2*** | | | | | | Calculate the perimeter, in | | | [cm]{.math.inline}, of the | | | isosceles triangle [PQR]{.math | | |.inline}, in base two. | | | | | | *Hitung perimeter, dalam cm, segi | | | tiga sama kaki PQR, dalam asas | | | dua.* | | | | | | +--------------+--------------+ | | | | C. [100010~ | D. [100100~ | | | | | 2~]{.math | 2~]{.math | | | | |.inline} |.inline} | | | | | | | +==============+==============+ | | | | A. [101010~ | B. [101100~ | | | | | 2~]{.math | 2~]{.math | | | | |.inline} |.inline} | | | | +--------------+--------------+ | | | | | | | | | +--------------+--------------+ | +-----------------------------------+-----------------------------------+ | 7. | In Diagram 3, [ABCDEF]{.math | | |.inline} is a regular hexagon and | | | [AFGH]{.math.inline} is a | | | rhombus. | | | | | | *Dalam Rajah 3, ABCDEF ialah | | | heksagon sekata dan AFGH ialah | | | rombus.* | | | | | | ***Diagram 3*** | | | | | | ***Rajah 3*** | | | | | | Calculate the value of | | | [*x*]{.math.inline}. | | | | | | *Hitung nilai* [*x*]{.math | | |.inline}*.* | | | | | | +--------------+--------------+ | | | | C. {.m | D. {.m | | | | | ath | ath | | | | |.inline} |.inline} | | | | | | | +==============+==============+ | | | | A. {.m | B. {.m | | | | | ath | ath | | | | |.inline} |.inline} | | | | +--------------+--------------+ | | | | | | | | | +--------------+--------------+ | | | | | | | | | +--------------+--------------+ | +-----------------------------------+-----------------------------------+ | 8. | In Diagram 4, [PQRST]{.math | | |.inline} is a pentagon and | | | [PTU]{.math.inline} is a | | | straight line. | | | | | | *Dalam Rajah 4, PQRST ialah | | | pentagon dan PTU ialah garis | | | lurus.* | | | | | |  | | | | | | ***Diagram 4*** | | | | | | ***Rajah 4*** | | | | | | Calculate the value of x + y. | | | | | | *Hitung nilai x + y.* | | | | | | +--------------+--------------+ | | | | C. {.m | D. {.m | | | | | ath | ath | | | | |.inline} |.inline} | | | | | | | +==============+==============+ | | | | A. {.m | B. {.m | | | | | ath | ath | | | | |.inline} |.inline} | | | | +--------------+--------------+ | +-----------------------------------+-----------------------------------+ | 9. | In Diagram 5, SRT is a tangent to | | | a circle with centre O. | | | | | | *Dalam Rajah 5, SRT ialah tangen | | | kepada bulatan berpusat O.* | | | | | | ***Diagram 5*** | | | | | | ***Rajah 5*** | | | | | | Find the value of [*x*]{.math | | |.inline}. | | | | | | *Cari nilai y.* | | | | | | +--------------+--------------+ | | | | C. 30° | D. 35° | | | | | | | +==============+==============+ | | | | A. 40° | B. [45^∘^ ] | | | | | | {.math | | | | | |.inline} | | | | +--------------+--------------+ | | | | | | | | | +--------------+--------------+ | +-----------------------------------+-----------------------------------+ | 10. | Diagram 6 shows the graph of a | | | quadratic function. | | | | | | *Rajah 6 menunjukkan graf bagi | | | suatu fungsi kuadratik.* | | | | | |  | | | | | | **Diagram 6** | | | | | | ***Rajah 6*** | | | | | | Which of the following is a | | | possible of quadratic function? | | | | | | *Antara berikut, yang manakah | | | fungsi kuadratik yang mungkin?* | | | | | | +--------------+--------------+ | | | | C. *y = | D. *y = | | | | | x^2^ + | x^2^ -- | | | | | 4x* | 4x* | | | | | | | +==============+==============+ | | | | A. *y = | B. *y = | | | | | --x^2^ | --x^2^ + | | | | | -- 4x* | 4x* | | | | +--------------+--------------+ | | | | | | | | | +--------------+--------------+ | +-----------------------------------+-----------------------------------+ | 11. | Given [\$\\frac{2}{3}\\ p\\ --\\ | | | 3q\\ = \\ p\\ --\\ 3\$]{.math | | |.inline}, express q in terms of | | | p. | | | | | | *Diberi* [\$\\frac{2}{3}\\ p\\ | | | --\\ 3q\\ = \\ p\\ --\\ | | | 3\$]{.math.inline}*, ungkapkan q | | | dalam sebutan p.* | | | | | | +--------------+--------------+ | | | | C. *q = 1 | D. *q = 1 | | | | | --*[\$\\ | --* | | | | | \\frac{1 | [\$\\fra | | | | | }{3}\\ | c{1}{9}\\ | | | | | \$]{.mat | \$]{.mat | | | | | h | h | | | | |.inline} |.inline} | | | | | *p* | *p* | | | | | | | +==============+==============+ | | | | A. *q = 3 | B. *q = 3 | | | | | --* | --* | | | | | [\$\\fra | [\$\\fra | | | | | c{1}{3}\$]{. | c{1}{9}\\ | | | | | math | \$]{.mat | | | | |.inline} | h | | | | | *p* |.inline} | | | | | | *p* | | | | +--------------+--------------+ | | | | | | | | | +--------------+--------------+ | +-----------------------------------+-----------------------------------+ | 12. | Given [\$p\\ = \\ | | | 9\^{\\frac{1}{2}}\\ \\times \\ {( | | | - 27)}\^{\\frac{1}{3}}\$]{.math | | |.inline}, calculate the value of | | | [*p*^3^]{.math.inline}. | | | | | | *Diberi* [\$p\\ = \\ | | | 9\^{\\frac{1}{2}}\\ \\times \\ {( | | | - 27)}\^{\\frac{1}{3}}\$]{.math | | |.inline}*, hitung nilai* | | | [*p*^3^]{.math.inline}*.* | | | | | | +--------------+--------------+ | | | | C. [--729]{ | D. [--81]{. | | | | |.math | math | | | | |.inline} |.inline} | | | | | | | +==============+==============+ | | | | A. {.ma | B. {.m | | | | | th | ath | | | | |.inline} |.inline} | | | | +--------------+--------------+ | | | | | | | | | +--------------+--------------+ | +-----------------------------------+-----------------------------------+ | 13. | In Diagram 7, rectangle Q is the | | | scale drawing of rectangle P. | | | | | | *Dalam Rajah 7, segi empat tepat | | | Q ialah lukisan berskala bagi | | | segi empat tepat P.* | | | | | | **Diagram 7** | | | | | | ***Rajah 7*** | | | | | | Which of the following is true? | | | | | | *Antara berikut, yang manakah | | | benar?* | | | | | | +---------+---------+---------+ | | | | | Scale | Value | | | | | | | of p | | | | | | *Skala* | | | | | | | | *Nilai | | | | | | | p* | | | | +=========+=========+=========+ | | | | A. | \ | 4 | | | | | | [\$\$1\ | | | | | | | \ | | | | | | | :\\ | | | | | | | \\frac{ | | | | | | | 2}{3}\$ | | | | | | | \$]{.ma | | | | | | | th | | | | | | |.displa | | | | | | | y}\ | | | | | +---------+---------+---------+ | | | | B. | \ | 6 | | | | | | [\$\$1\ | | | | | | | \ | | | | | | | :\\ | | | | | | | \\frac{ | | | | | | | 2}{3}\$ | | | | | | | \$]{.ma | | | | | | | th | | | | | | |.displa | | | | | | | y}\ | | | | | +---------+---------+---------+ | | | | C. | \ | 4 | | | | | | [\$\$1\ | | | | | | | \ | | | | | | | :\\ | | | | | | | \\frac{ | | | | | | | 3}{2}\$ | | | | | | | \$]{.ma | | | | | | | th | | | | | | |.displa | | | | | | | y}\ | | | | | +---------+---------+---------+ | | | | D. | \ | 6 | | | | | | [\$\$1\ | | | | | | | \ | | | | | | | :\\ | | | | | | | \\frac{ | | | | | | | 3}{2}\$ | | | | | | | \$]{.ma | | | | | | | th | | | | | | |.displa | | | | | | | y}\ | | | | | +---------+---------+---------+ | | | | | | | | | | +---------+---------+---------+ | +-----------------------------------+-----------------------------------+ | 14. | Diagram 8 shows the graph of a | | | trigonometric function. | | | | | | *Rajah 8 menunjukkan suatu graf | | | fungsi trigonometri.* | | | | | |  | | | | | | **Diagram 8** | | | | | | ***Rajah 8*** | | | | | | Determine the trigonometric | | | function. | | | | | | *Tentukan fungsi trigonometri | | | itu.* | | | | | | +--------------+--------------+ | | | | C. [*y* = * | D. [*y* = * | | | | | sin* *x*]{.m | sin* 2*x*]{. | | | | | ath | math | | | | |.inline} |.inline} | | | | | | | +==============+==============+ | | | | A. [*y* = 2 | B. [*y* = 2 | | | | |  *sin* *x*]{ |  *sin* 2*x*] | | | | |.math | {.math | | | | |.inline} |.inline} | | | | +--------------+--------------+ | +-----------------------------------+-----------------------------------+ | 15. | Determine the disadvantages of | | | using credit cards. | | | | | | *Tentukan kekurangan dalam | | | menggunakan kad kredit.* | | | | | | I Does not require us to carry a | | | lot of cash. | | | | | | *Tidak perlu membawa tunai yang | | | banyak.* | | | | | | II Overspending. | | | | | | *Berbelanja lebih daripada | | | sepatutnya.* | | | | | | *Kemudahan membeli barangan dan | | | perkhidmatan atas talian.* | | | | | | IV Incur charges such as late | | | payment charges. | | | | | | *Dibebankan dengan caj-caj | | | seperti caj bayaran lewat.* | | | | | | +------------------------------+ | | | | D. [I and II only]{.math | | | | |.inline} | | | | | | | | | | *I dan II sahaja* | | | | | | | +==============================+ | | | | A. [II and III only]{.math | | | | |.inline} | | | | | | | | | | *II dan III sahaja* | | | | +------------------------------+ | | | | B. [II and IV only]{.math | | | | |.inline} | | | | | | | | | | *II dan IV sahaja* | | | | +------------------------------+ | | | | C. [III and IV only]{.math | | | | |.inline} | | | | | | | | | | *III dan IV sahaja* | | | | +------------------------------+ | | | | | | | | +------------------------------+ | +-----------------------------------+-----------------------------------+ | 16. | Diagram 9 shows a graph. | | | | | | *Rajah 9 menunjukkan satu graf.* | | | | | | **Diagram 9** | | | | | | ***Rajah 9*** | | | | | | State the sum of degrees of the | | | graph. | | | | | | *Nyatakan jumlah darjah graf | | | itu.* | | | | | | +--------------+--------------+ | | | | C. {.mat | D. 6 | | | | | h | | | | | |.inline} | | | | | | | | +==============+==============+ | | | | A. {.ma | B. {.ma | | | | | th | th | | | | |.inline} |.inline} | | | | +--------------+--------------+ | +-----------------------------------+-----------------------------------+ | 17. | Diagram 10 is a Venn diagram | | | showing the universal set, ξ = | | | *P* ∪ *Q* ∪ *R*. | | | | | | *Rajah 10 ialah gambar rajah Venn | | | yang menunjukkan set semesta*, ξ | | | = *P* ∪ *Q* ∪ *R*. | | | | | |  | | | | | | **Diagram 10** | | | | | | ***Rajah 10*** | | | | | | Which of the following is true? | | | | | | *Antara berikut, yang manakah | | | benar?* | | | | | | +--------------+--------------+ | | | | C. [a | D. [e | | | | | ∈ (*P* ∩ | ∈ (*P* ∩ | | | | |  *R*′ )]{.ma |  *R*)]{.math | | | | | th |.inline} | | | | |.inline} | | | | | | | | +==============+==============+ | | | | A. [i ∈ (Q | B. [h | | | | | ∩ *R*)]{ | ∈ (*P*′  | | | | |.math |  ∩  | | | | |.inline} | R′ )]{.m | | | | | | ath | | | | | |.inline} | | | | +--------------+--------------+ | +-----------------------------------+-----------------------------------+ | 18. | Write the consequent for the | | | following implication: | | | | | | *Tulis akibat bagi implikasi | | | berikut:* | | | | | | +------------------------------+ | | | | \ | | | | | [If *the* *primeter* *of* *a | | | | | * *square* *is* 4*r* *cm*,, | | | | | then the area of the square | | | | | is *r*^2^ cm^2^.]{.math | | | | |.display}\ | | | | | | | | | | \ | | | | | [*Jika* *perimeter* *sebuah* | | | | |  *segi* *empat* *sama* *iala | | | | | h* 4*r* *cm*, *maka* *luas*  | | | | | *segi* *empat* *sama* *itu*  | | | | | *ialah* *r*^2^ cm^2^ | | | | |.]{.math.display}\ | | | | +------------------------------+ | | | | | | +------------------------------+ | | | | B. [*The* *perimeter* *of*  | | | | | *a* *square* *is* 4*r* *cm*. | | | | | ]{.math | | | | |.inline} | | | | | | | | | | [        *Perimeter* *sebuah | | | | | * *segi* *empat* *sama* *ial | | | | | ah* 4*r* *cm*]{.math | | | | |.inline}**.** | | | | +==============================+ | | | | A. [The area of a square is | | | | | *r*^2^ cm^2^.]{.math | | | | |.inline} | | | | | | | | | | \ | | | | | [ Luas segi empat sama itu | | | | | ialah *r*^2^ cm^2^]{.math | | | | |.display}\ | | | | +------------------------------+ | | | | C. [*The* *perimeter* *of*  | | | | | *a* *square* *is* *is* *not* | | | | |  *equal* *to* 4*r* *cm*.]{.m | | | | | ath | | | | |.inline} | | | | | | | | | | [        *Perimeter* *sebuah | | | | | * *segi* *empat* *sama* *tid | | | | | ak* *sama* *dengan* 4*r* *cm | | | | | *.]{.math | | | | |.inline} | | | | +------------------------------+ | | | | D. [The area of a square is | | | | | not equal to | | | | | *r*^2^ cm^2^]{.math | | | | |.inline} | | | | | | | | | | [ Luas segi empat sama itu | | | | | tidak sama dengan | | | | | *r*^2^ cm^2^.]{.math | | | | |.inline} | | | | +------------------------------+ | | | | | | | | +------------------------------+ | +-----------------------------------+-----------------------------------+ | 19. | The sum of all numbers and the | | | sum of the square of each number | | | in a set of 5 numbers are 35 and | | | 265 respectively. Calculate the | | | new standard deviation of the set | | | of data when each number in the | | | set of data is multiplied by 3. | | | | | | *Hasil tambah semua nombor dan | | | hasil tambah kuasa dua setiap | | | nombor bagi suatu set data yang* | | | | | | *mengandungi 5 nombor | | | masing-masing ialah 35 dan 265. | | | Hitung sisihan piawai baharu bagi | | | set* | | | | | | *data itu apabila setiap nombor | | | dalam set data itu didarab dengan | | | 3.* | | | | | | +--------------+--------------+ | | | | C. {.mat | D. {.ma | | | | | h | th | | | | |.inline} |.inline} | | | | | | | +==============+==============+ | | | | A. {.ma | B. {.ma | | | | | th | th | | | | |.inline} |.inline} | | | | +--------------+--------------+ | +-----------------------------------+-----------------------------------+ | 20. | A box contains several number | | | cards and letter cards. A card is | | | picked at random from the box. | | | The probability of getting a | | | prime number is | | | [\$\\frac{3}{10}\$]{.math | | |.inline} and the probability of | | | getting a vowel is | | | [\$\\frac{1}{5}\$]{.math | | |.inline}. Calculate the | | | probability of getting a prime | | | number or a vowel. | | | | | | *Sebuah kotak mengandungi | | | beberapa keping kad nombor dan | | | kad huruf. Sekeping kad dipilih | | | secara rawak daripada kotak itu. | | | Kebarangkalian mendapat satu | | | nombor perdana ialah* | | | [\$\\frac{3}{10}\$]{.math | | |.inline} *dan kebarangkalian | | | mendapat satu huruf vokal ialah* | | | [\$\\frac{1}{5}\$]{.math | | |.inline}*. Hitung kebarangkalian | | | mendapat satu nombor perdana atau | | | satu huruf vokal.* | | | | | | +--------------+--------------+ | | | | C. [\$\\fra | D. [\$\\fra | | | | | c{3}{50}\$]{ | c{4}{15}\$]{ | | | | |.math |.math | | | | |.inline} |.inline} | | | | | | | +==============+==============+ | | | | A. [\$\\fra | B. [\$\\fra | | | | | c{2}{5}\$]{. | c{1}{2}\$]{. | | | | | math | math | | | | |.inline} |.inline} | | | | +--------------+--------------+ | | | | | | | | | +--------------+--------------+ | +-----------------------------------+-----------------------------------+ | 21. | Given [\$\\frac{(4x\\ + \\ y)}{3} | | | = 3y - 4\$]{.math.inline}, | | | express y in terms of x.\ | | | *Diberi* [\$\\frac{(4x\\ + \\ | | | y)}{3} = 3y - 4\$]{.math | | |.inline}*, ungkapkan y dalam | | | sebutan x.* | | | | | | +--------------+--------------+ | | | | C. [\$y\\ma | D. [\$y\\ma | | | | | thbf{=}\\fra | thbf{=}\\fra | | | | | c{x\\ - | c{x\\ + | | | | | \\ | \\ | | | | | 3}{2}\$] | 3}{2}\$] | | | | | {.math | {.math | | | | |.inline} |.inline} | | | | | | | +==============+==============+ | | | | A. [\$y\\ma | B. [\$y\\ma | | | | | thbf{=}\\fra | thbf{=}\\fra | | | | | c{x\\ - | c{x\\ + | | | | | \\ | \\ | | | | | 3}{4}\$] | 3}{4}\$] | | | | | {.math | {.math | | | | |.inline} |.inline} | | | | +--------------+--------------+ | | | | | | | | | +--------------+--------------+ | +-----------------------------------+-----------------------------------+ | 22. | In Diagram 11, P is a regular | | | hexagon, Q is a regular pentagon | | | and R is a rhombus. | | | | | | *Dalam Rajah 11, P ialah heksagon | | | sekata, Q ialah pentagon sekata | | | dan R ialah rombus.* | | | | | | **Diagram 11** | | | | | | ***Rajah 11*** | | | | | | Find the value of [*x*]{.math | | |.inline}. | | | | | | *Cari nilai* [*x*]{.math | | |.inline}. | | | | | | +--------------+--------------+ | | | | C. [96^∘^]{ | D. [192^∘^] | | | | |.math | {.math | | | | |.inline} |.inline} | | | | | | | +==============+==============+ | | | | A. [204^∘^] | B. [228^∘^] | | | | | {.math | {.math | | | | |.inline} |.inline} | | | | +--------------+--------------+ | +-----------------------------------+-----------------------------------+ | 23. | Simplify: | | | | | | *Permudahkan:* | | | | | | \ | | | [\$\$\\left\\lbrack | | | \\frac{m\^{8}\\ \\times \\ | | | {(8n\^{6})}\^{\\frac{1}{3}}}{{(m\ | | | ^{- | | | 8}n\^{6})}\^{\\frac{1}{2}}} | | | \\right\\rbrack\^{2}\$\$]{.math | | |.display}\ | | | | | | +--------------+--------------+ | | | | C. [\$\\fra | D. [\$\\fra | | | | | c{2m\^{8}}{n | c{2m\^{24}}{ | | | | | \^{2}}\$]{.m | n\^{2}}\$]{. | | | | | ath | math | | | | |.inline} |.inline} | | | | | | | +==============+==============+ | | | | A. [\$\\fra | B. [\$\\fra | | | | | c{4m\^{8}}{n | c{4m\^{24}}{ | | | | | \^{2}}\$]{.m | n\^{2}}\$]{. | | | | | ath | math | | | | |.inline} |.inline} | | | | +--------------+--------------+ | +-----------------------------------+-----------------------------------+ | | | +-----------------------------------+-----------------------------------+ | 24. | Which of the following points | | | does **not** satisfy the linear | | | inequality [*y* ≥ 2*x* + 3]{.math | | |.inline}? | | | | | | *Antara titik berikut, yang | | | manakah **tidak** memuaskan | | | ketaksamaan linear* | | | [*y* ≥ 2*x* + 3]{.math | | |.inline}*?* | | | | | | +--------------+--------------+ | | | | C. [(--4, 1 | D. [(2, 7)] | | | | | )]{.math | {.math | | | | |.inline} |.inline} | | | | | | | +==============+==============+ | | | | A. [(4, 10) | B. [(6, 0)] | | | | | ]{.math | {.math | | | | |.inline} |.inline} | | | | +--------------+--------------+ | +-----------------------------------+-----------------------------------+ | 25. | Diagram 12 shows a shaded region | | | that defined by a linear | | | inequlity [y  ≥  x -- 2]{.math | | |.inline} and a linear inequality | | | [*M*]{.math.inline}. | | | | | | *Rajah 12 menunjukkan rantau | | | berlorek yang ditakrifkan oleh | | | ketaksamaan linear* [y  ≥  x | | | -- 2]{.math.inline} *dan satu | | | ketaksamaan linear* [*M*]{.math | | |.inline}*.* | | | | | |  | | | | | | ***Diagram 12*** | | | | | | ***Rajah 12*** | | | | | | Determine the linear inequality | | | M. | | | | | | *Tentukan ketaksamaan linear M.* | | | | | | +--------------+--------------+ | | | | C. [*x* \>  | D. [*x* ≥ 2 | | | | | 2]{.math | ]{.math | | | | |.inline} |.inline} | | | | | | | +==============+==============+ | | | | A. [*y* \>  | B. [*y* ≥ 2 | | | | | 2]{.math | ]{.math | | | | |.inline} |.inline} | | | | +--------------+--------------+ | +-----------------------------------+-----------------------------------+ | 26. | Find the highest common factor of | | | 24, 56 and 96. | | | | | | *Cari faktor sepunya terbesar | | | bagi 24, 56 dan 96.* | | | | | | +--------------+--------------+ | | | | C. {.mat | D. {.mat | | | | | h | h | | | | |.inline} |.inline} | | | | | | | +==============+==============+ | | | | A. {.ma | B. {.ma | | | | | th | th | | | | |.inline} |.inline} | | | | +--------------+--------------+ | | | | | | | | | +--------------+--------------+ | +-----------------------------------+-----------------------------------+ | 27. | Given y varies inversely as | | | [3*x* + 1]{.math.inline} and | | | [*y* = 2]{.math.inline} when | | | [*x* = 3]{.math.inline}. | | | Calculate the value of [x ]{.math | | |.inline}when [*y* = 5]{.math | | |.inline}. | | | | | | *Diberi y berubah secara songsang | | | dengan*[ 3*x* + 1]{.math.inline} | | | *dan* [*y* = 2]{.math.inline} | | | *apabila* [*x* = 3]{.math | | |.inline}*. Hitung nilai* | | | [*x*]{.math.inline} *apabila* | | | [*y* = 5]{.math.inline}*.* | | | | | | +--------------+--------------+ | | | | C. [ − 2]{. | D. [ − 1]{. | | | | | math | math | | | | |.inline} |.inline} | | | | | | | +==============+==============+ | | | | A. {.mat | B. {.mat | | | | | h | h | | | | |.inline} |.inline} | | | | +--------------+--------------+ | | | | | | | | | +--------------+--------------+ | +-----------------------------------+-----------------------------------+ | 28. | [\$\\begin{bmatrix} 2 & - 3 \\\\ | | | \\end{bmatrix}\\begin{bmatrix} - | | | 5 \\\\ - 4 \\\\ | | | \\end{bmatrix}\$]{.math.inline} | | | *=* | | | | | | +--------------+--------------+ | | | | D. [\[−2\]] | | | | | | {.math | | | | | |.inline} | | | | | | | | +==============+==============+ | | | | A. [\[2\]]{ | | | | | |.math | | | | | |.inline} | | | | | +--------------+--------------+ | | | | B. [\$\\beg | | | | | | in{bmatrix} | | | | | | - | | | | | | 5 \\\\ - | | | | | | 4 \\\\ | | | | | | \\end{bm | | | | | | atrix}\$]{.m | | | | | | ath | | | | | |.inline} | | | | | +--------------+--------------+ | | | | C. [\$\\lef | | | | | | t\\lbrack | | | | | | \\ | | | | | | \\begin{ | | | | | | matrix} | | | | | | 5 \\\\ 4 | | | | | | \\\\ | | | | | | \\end{ma | | | | | | trix}\\ | | | | | | \\right\ | | | | | | \rbrack\$]{. | | | | | | math | | | | | |.inline} | | | | | +--------------+--------------+ | | | | | | | | | +--------------+--------------+ | +-----------------------------------+-----------------------------------+ | 29. | Diagram 13 shows a triangle PQR | | | and a straight line SU drawn on a | | | Cartesian plane. | | | | | | *Rajah 13 menunjukkan segi tiga | | | PQR dan garis lurus SU yang | | | dilukis pada suatu satah Cartes.* | | | | | | ***Diagram 13*** | | | | | | ***Rajah 13*** | | | | | | Triangle STU is the image of | | | triangle PQR under a reflection | | | in the straight line MN. Find the | | | coordinates of point T. | | | | | | *Segi tiga STU ialah imej bagi | | | segi tiga PQR di bawah satu | | | pantulan pada garis lurus MN. | | | Cari koordinat titik T.* | | | | | | +--------------+--------------+ | | | | D. [(6, --3 | | | | | | )]{.math | | | | | |.inline} | | | | | | | | +==============+==============+ | | | | A. [(6, --4 | | | | | | )]{.math | | | | | |.inline} | | | | | +--------------+--------------+ | | | | B. [(7, --3 | | | | | | )]{.math | | | | | |.inline} | | | | | +--------------+--------------+ | | | | C. [(7, --4 | | | | | | )]{.math | | | | | |.inline} | | | | | +--------------+--------------+ | | | | | | | | | +--------------+--------------+ | +-----------------------------------+-----------------------------------+ | 30. | In Diagram 14, O is the centre of | | | a circle QSU. PQR and RST are | | | tangents to the circle, at point | | | Q and point S. | | | | | | *Dalam Rajah 14, O ialah pusat | | | bulatan QSU. PQR dan RST | | | masing-masing ialah tangen kepada | | | bulatan itu, di titik Q dan titik | | | S.* | | | | | |  | | | | | | **Diagram 14** | | | | | | ***Rajah 14*** | | | | | | Find the value of [*x*]{.math | | |.inline}. | | | | | | *Cari nilai* [*x*]{.math | | |.inline}*.* | | | | | | +--------------+--------------+ | | | | C. [30^∘^]{ | D. [40^∘^]{ | | | | |.math |.math | | | | |.inline} |.inline} | | | | | | | +==============+==============+ | | | | A. [50^∘^]{ | B. [60^∘^]{ | | | | |.math |.math | | | | |.inline} |.inline} | | | | +--------------+--------------+ | | | | | | | | | +--------------+--------------+ | +-----------------------------------+-----------------------------------+ | 31. | A study was conducted on 50 | | | pupils on their favourite | | | beverage. Diagram 15 is an | | | incomplete Venn diagram showing | | | part of the result of the study | | | where | | | | | | P = {pupils who like tea}, | | | | | | Q = {pupils who like coffee} and | | | | | | R = {pupils who like milk}. | | | | | | *Satu kajian dijalankan ke atas | | | 50 orang murid terhadap minuman | | | kegemaran mereka. Rajah 15 ialah | | | gambar rajah Venn tidak lengkap | | | yang menunjukkan sebahagian | | | keputusan kajian itu dengan | | | keadaan* | | | | | | *P = {murid yang suka teh},* | | | | | | *Q = {murid yang suka kopi} dan* | | | | | | *R = {murid yang suka susu}.* | | | | | | **Diagram 15** | | | | | | ***Rajah 15*** | | | | | | Given the total number of pupils | | | who only like one type of drink | | | is 18. Calculate the number of | | | pupils who do **not** like coffee | | | or tea. | | | | | | *Diberi jumlah bilangan murid | | | yang hanya suka satu jenis | | | minuman sahaja ialah 18 orang. | | | Hitung bilangan murid yang | | | **tidak** suka minuman kopi atau | | | teh.* | | | | | | +--------------+--------------+ | | | | C. 5 | D. 8 | | | | | | | +==============+==============+ | | | | A. 9 | B. 16 | | | | +--------------+--------------+ | +-----------------------------------+-----------------------------------+ | 32. | Diagram 16 shows a five-storey | | | building. | | | | | | *Rajah 16 menunjukkan sebuah | | | bangunan lima tingkat.* | | | | | |  | | | | | | **Diagram 16** | | | | | | ***Rajah 16*** | | | | | | Given the height of each floor of | | | the building is the same and the | | | angle of depression of | | | [*P*]{.math.inline} from | | | [*Q*]{.math.inline} is | | | [32.6^∘^]{.math.inline}. | | | Calculate the height, in | | | [*m*]{.math.inline}, of the | | | building. | | | | | | *Diberi tinggi setiap tingkat | | | bangunan itu adalah sama dan | | | sudut tunduk* [*P*]{.math | | |.inline} *dari* [*Q*]{.math | | |.inline} *ialah* [32.6^∘^]{.math | | |.inline}*.Hitung tinggi, dalam* | | | [*m*]{.math.inline}*, bangunan | | | itu.* | | | | | | +--------------+--------------+ | | | | C. [6.4]{.m | D. [12.8]{. | | | | | ath | math | | | | |.inline} |.inline} | | | | | | | +==============+==============+ | | | | A. {.ma | B. [39.1]{. | | | | | th | math | | | | |.inline} |.inline} | | | | +--------------+--------------+ | | | | | | | | | +--------------+--------------+ | +-----------------------------------+-----------------------------------+ | 33. | Diagram 17 shows five points | | | drawn on a grid of squares. | | | | | | *Rajah 17 menunjukkan lima titik | | | yang dilukis pada grid segi empat | | | sama.* | | | | | | **Diagram 17** | | | | | | ***Rajah 17*** | | | | | | Given [**P**]{.math.inline} is a | | | translation [\$\\begin{pmatrix} - | | | 4 \\\\ 3 \\\\ \\end{pmatrix}\\ | | | \$]{.math.inline}and | | | [**Q**]{.math.inline} is a | | | clockwise rotation of | | | [90^∘^ ]{.math.inline}at centre | | | [(8, 6)]{.math.inline}. Which of | | | the points **A**, **B**, **C** or | | | **D**, is the image of point J | | | under the combined transformation | | | [PQ]{.math.inline}? | | | | | | *Diberi* [*P*]{.math.inline} | | | *ialah translasi* | | | [\$\\begin{pmatrix} - 4 \\\\ 3 | | | \\\\ \\end{pmatrix}\\ \$]{.math | | |.inline} *dan* [*Q*]{.math | | |.inline} *ialah putaran* | | | [90^∘^]{.math.inline} *ikut arah | | | jam pada pusat* [(8, 6)]{.math | | |.inline}*. Antara titik **A**, | | | **B**, **C** dan **D**, yang | | | manakah imej bagi titik J di | | | bawah gabungan transformasi | | | **PQ**?* | +-----------------------------------+-----------------------------------+ | 34. | \ | | | [(*x*^2^ -- 9) -- (*x* -- 3)^2^ = | | | ]{.math | | |.display}\ | | | | | | +--------------+--------------+ | | | | C. [2*x*^2^ | D. [2*x*^2^ | | | | | --18]{.math | --9]{.math | | | | |.inline} |.inline} | | | | | | | +==============+==============+ | | | | A. [6*x* -- | B. [6*x* -- | | | | | 18]{.math | 9]{.math | | | | |.inline} |.inline} | | | | +--------------+--------------+ | | | | | | | | | +--------------+--------------+ | +-----------------------------------+-----------------------------------+ | 35. | A bus departs from Kuala Lumpur | | | at 9.45 a.m. and arrives in Muar, | | | Johor at 12.15 p.m. If the total | | | distance travelled is 185 km, | | | calculate the average speed, in | | | km/h, of the bus. | | | | | | *Sebuah bas bertolak dari Kuala | | | Lumpur pada pukul 9.45 a.m. dan | | | tiba di Muar, Johor pada pukul | | | 12.15 p.m. Jika jumlah jarak yang | | | dilalui ialah 185 km, hitung laju | | | purata, dalam km/j, bas itu.* | | | | | | +--------------+--------------+ | | | | C. {.ma | D. {.ma | | | | | th | th | | | | |.inline} |.inline} | | | | | | | +==============+==============+ | | | | A. {.ma | B. {.ma | | | | | th | th | | | | |.inline} |.inline} | | | | +--------------+--------------+ | | | | | | | | | +--------------+--------------+ | +-----------------------------------+-----------------------------------+ | 36. | A man died in a road accident | | | because his car lost control. He | | | has an insurance and his family | | | member receives compensation from | | | the insurance company. The | | | following are the insurances that | | | he might have purchased | | | **except** | | | | | | *Seorang lelaki dewasa meninggal | | | dunia dalam kemalangan jalan raya | | | kerana keretanya hilang kawalan. | | | Dia mempunyai suatu insurans dan | | | ahli keluarganya menerima | | | pampasan daripada syarikat | | | insurans. Berikut ialah insurans | | | yang mungkin dibeli oleh lelaki | | | itu **kecuali*** | | | | | | +------------------------------+ | | | | D. personal accident | | | | | insurance. | | | | | | | | | | *insurans kemalangan diri.* | | | | +==============================+ | | | | A. motor insurance. | | | | | | | | | | *insurans motor.* | | | | +------------------------------+ | | | | B. travel insurance. | | | | | | | | | | *insurans perjalanan.* | | | | +------------------------------+ | | | | C. *life insurance* | | | | | | | | | | *insurans hayat.* | | | | +------------------------------+ | | | | | | | | +------------------------------+ | +-----------------------------------+-----------------------------------+ | 37. | Diagram 18 shows a straight line | | | drawn on a Cartesian plane. | | | | | | *Rajah 18 menunjukkan satu garis | | | lurus yang dilukis pada suatu | | | satah Cartes.* | | | | | |  | | | | | | **Diagram 18** | | | | | | ***Rajah 18*** | | | | | | Determine the x-intercept of the | | | straight line. | | | | | | *Tentukan pintasan-x bagi garis | | | lurus itu.* | | | | | | +------------------------------+ | | | | D. [ − 9]{.math.inline} | | | | | | | +==============================+ | | | | A. [ − 3]{.math.inline} | | | | +------------------------------+ | | | | B. {.math.inline} | | | | +------------------------------+ | | | | C. {.math.inline} | | | | +------------------------------+ | | | | | | | | +------------------------------+ | +-----------------------------------+-----------------------------------+ | 38. | Mr Lim has a motor insurance for | | | his car with a deductible | | | provision of RM400. Mr Lim | | | suffered two accidents in the | | | insurance coverage period. The | | | losses suffered were RM350 and | | | RM3 700 respectively. Calculate | | | the total amount of compensation | | | that can be claimed by Mr Lim. | | | | | | *Encik Lim mempunyai polisi | | | insurans motor untuk keretanya | | | dengan peruntukan deduktibel | | | sebanyak RM400. Encik Lim telah | | | mengalami dua kali kemalangan | | | dalam tempoh insurans. Kerugian | | | yang dialami masing-masing ialah | | | RM350 dan RM3 700. Hitung jumlah | | | bayaran pampasan yang boleh | | | dituntut oleh Encik Lim.* | | | | | | +--------------+--------------+ | | | | C. [*RM* 3  | D. [*RM* 3  | | | | | 250]{.math | 300]{.math | | | | |.inline} |.inline} | | | | | | | +==============+==============+ | | | | A. [*RM* 3  | B. [*RM* 4  | | | | | 650]{.math | 050]{.math | | | | |.inline} |.inline} | | | | +--------------+--------------+ | | | | | | | | | +--------------+--------------+ | +-----------------------------------+-----------------------------------+ | 39. | The annual income of Encik Idris | | | in the year 2020 is RM128 000. | | | 10% of his income is tax | | | exempted. He donated RM400 to a | | | government-approved charity | | | organisation. He also paid zakat | | | amounting to RM1 200. The total | | | tax reliefs claimed by him is | | | RM42 500. Calculate the | | | chargeable income of Encik Idris. | | | | | | *Pendapatan tahunan Encik Idris | | | pada tahun 2020 ialah RM128 000. | | | 10% daripada pendapatannya adalah | | | dikecualikan cukai. Dia telah | | | menderma RM400 kepada badan | | | kebajikan yang diluluskan oleh | | | kerajaan. Dia juga membayar zakat | | | berjumlah RM1 200. Jumlah | | | pelepasan cukai yang dituntutnya | | | ialah RM42 500. Hitung pendapatan | | | bercukai Encik Idris.* | | | | | | +--------------+--------------+ | | | | C. [*RM* 71 | D. [*RM* 71 | | | | |  100]{.math |  500]{.math | | | | |.inline} |.inline} | | | | | | | +==============+==============+ | | | | A. [*RM* 72 | B. [*RM* 12 | | | | |  300]{.math | 6 400]{.math | | | | |.inline} |.inline} | | | | +--------------+--------------+ | | | | | | | | | +--------------+--------------+ | +-----------------------------------+-----------------------------------+ | 40. | Table 18 shows the details of | | | fire insurance for Encik Mazlan's | | | house offered by an insurance | | | company. | | | | | | *Jadual 18 menunjukkan butiran | | | insurans kebakaran bagi rumah | | | Encik Mazlan yang ditawarkan oleh | | | sebuah syarikat insurans.* | | | | | | +--------------+--------------+ | | | | Insurable | RM450 000 | | | | | value | | | | | | | | | | | | Nilai boleh | | | | | | insurans | | | | | +==============+==============+ | | | | Deductible | RM3 000 | | | | | | | | | | | Deduktibel | | | | | +--------------+--------------+ | | | | Co-insurance | 80% of the | | | | | provision | insurable | | | | | |