Quiz about Matematik SPM KSSM Kertas 1

Question 1

Bundarkan 59 735 betul kepada tiga angka bererti.

Round off 59 735 correct to three significant figures.

Accepted Answer

59 700

Answer

597

Answer

59 740

Answer

59 800

Question 2

Populasi virus R ialah 2.4 juta . Selepas 2 jam , populasi virus R bertambah sebanyak 7.5 % daripada populasi asal . Hitung populasi virus R yang baru.

The population of virus R is 2.4 million . After 2 hours , the population of virus R increases by 7.5 % of the original population. Calculate the new population of virus R .

Accepted Answer

$$2.58 imes10^6$$

Answer

$$\ 1.8\ imes10^5$$

Answer

$$1.8 imes10^6$$

Answer

$$2.58 imes10^5$$

Question 3

Nyatakan nilai digit 3 dalam nombor $$531_6$$ , dalam asas sepuluh.

State the value of digit 3 in the number $$531_6$$ , in base ten.

Accepted Answer

18

Answer

9

Answer

36

Answer

108

Question 4

Rajah 1 menunjukkan sebuah bulatan berpusat O .

Diagram 1 shows a circle with the centre O .

Cari nilai x , y dan z.

Find the value of x , y and z.

Accepted Answer

$$x=90\degree,y=55\degree,z=40\degree$$

Answer

$$x=110\degree,y=35\degree,z=55\degree$$

Answer

$$x=110\degree,y=35\degree,z\ =\ 40\degree$$

Answer

$$x=90\degree,y=55\degree,z=55\degree$$

Question 5

Rajah 2 menunjukkan empat bentuk poligon yang serupa. Berdasarkan Rajah 2 , yang manakah tidak benar?

Diagram 2 shows four similar polygons. Based on Diagram 2 , which of the following is not true.

Accepted Answer

Option B is correct

Answer

A.

Answer

C.

Answer

D.

Question 6

Rajah 3 menunjukkan suatu satah Cartes. Segi tiga Q ialah imej bagi segi tiga P di bawah suatu putaran. Koordinat imej bagi titik M di bawah putaran yang sama ialah..

Diagram 3 shows a Cartesian plane . Triangle Q is an image of triangle P under a rotation. Coordinate of the image of point M under the same rotation is

Accepted Answer

$$\left(-1\ ,\ 3\ \right)$$

Answer

$$\left(3,-1\right)$$

Answer

$$\left(1,\ -2\right)$$

Answer

$$\left(1,1\right)$$

Question 7

Rajah 4 menunjukkan dua graf fungsi kuadratik , $$y=f\left(x\right)$$ dan $$y=g\left(x\right)$$ , dilukis pada paksi yang sama . Nyatakan nilai a yang mungkin .

Diagram 4 shows two graphs of quadratic functions , $$y=f\left(x\right)\ $$ and $$y=g\left(x\right)$$ , drawn on the same axes. State the possible value of a.

Accepted Answer

$$-2$$

Answer

$$-1$$

Answer

$$1$$

Answer

$$2$$

Question 8

Hasil darab dua nombor positif ialah 96 dan nombor yang lebih besar melebihi nombor yang lebih kecil sebanyak 4. Jika nombor yang lebih kecil ialah x , hitung nilai x.

The product of positive numbers is 96 and the larger number exceed the smaller number by 4 . If the smaller number is x , calculate the value of x .

Accepted Answer

$$8$$

Answer

$$-8$$

Answer

$$12$$

Answer

$$20$$

Question 9

Premis 1 : Jika y adalah kurang daripada sifar , maka y adalah nombor negatif.

Premis 1 : If y less than zero , then y is a negative number

Premise 2 : ________________________________________________

Kesimpulan : $$-2\ $$ ialah nombor negatif

Conclusion : $$-2\ $$ is a negative number

Berdasarkan hujah di atas , nyatakan Premis 2 bagi melengkapkan hujah.

Based on the argument above , state Premise 2 to complete the argument.

Accepted Answer

$$-2$$ adalah kurang daripada sifar

$$-2\ $$ is less than zero

Answer

p adalah benar

p is true

Answer

y adalah kurang daripada sifar

y is less than zero

Answer

Semua nombor yang kurang daripada sifar adalah nombor negatif.

All numbers that is less than zero are negative numbers.

Question 10

Cari persamaan paksi simetri bagi graf fungsi kuadratik $$f\left(x\right)=-\left(x-2\right)^2+16$$

Find the equation of axis of symmetry for the graph of the quadratic equation $$f\left(x\right)=-\left(x-2\right)^2+16$$

Accepted Answer

$$x=2$$

Answer

$$x=-16$$

Answer

$$x=-2$$

Answer

$$x=16$$

Question 11

Jarak , d meter ,antara sebuah roket air dengan permukaan bumi yang dilancarkan oleh Sue boleh diungkapkan dalam bentuk persamaan $$d=15t-3t^2-12$$ dengan t ialah masa dalam saat selepas roket itu dilancarkan . Berapakah jarak maksimum roket tersebut dari permukaan tanah?

Distance , d meter m between a water rocket and the ground after being launch by Sue can be represented in form of the quadratic equation $$d=15t^{ }-3t^2-12$$ with t is the time in second after the launch. What is the maximum distance between the rocket and the ground?

Accepted Answer

6.75

Answer

2.5

Answer

5.28

Answer

6.00

Question 12

Antara yang berikut , yang manakah pernyataan palsu?

Which of the following is a false statement?

Accepted Answer

$$5^2=10\ $$ atau $$4\div8=2$$

$$5^2=10$$

or $$4\div8=2$$

Answer

8 ialah faktor bagi 112

8 is a factor of 112

Answer

Jika $$P\subset Q\ $$ maka , $$P\cap Q=P$$

If $$P\subset Q$$ then $$P\cap Q=P$$

Answer

Jika $$\angle KLM$$ dan $$\angle MLN$$ adalah sudut pelengkap , maka $$\angle KLN=90\degree$$

If $$\angle KLM$$ and $$\angle MLN$$ are complimentary angles, then $$\angle KLN=90\degree$$

Question 13

Berikut ialah suatu implikasi , nyatakan kontrapositif bagi implikasi itu.

The following is an implication , state the contrapositive of the implication.

Accepted Answer

Option D is correct

Answer

A.

Answer

B.

Answer

C.

Question 14

Jadual di bawah menunjukkan pelan kewangan Encik Simon. Antara pernyataan berikut , yang manakah tidak benar ?

Table below shows Mr Simon's financial plan. Which of the following statements is not true?

Accepted Answer

Encik Simon boleh membeli telefon baharu yang berharga RM3000.

Mr Simon can buy a new phone worth RM3000.

Answer

Tiada lebihan pendapatan bagi Encik Simon.

There is no excess income for Mr Simon.

Answer

Encik Simon perlu kurangkan perbelanjaan bil telefon , bil utiliti dan pelancongan.

Mr Simon needs to cut down on telephone bills , utility bills and travel.

Answer

Encik Simon perlu menambah pendapatan pasif beliau.

Mr Simon needs to increase his passive income .

Question 15

Rajah 5 menunjukkan bentuk PQRSTU yang dipotong daripada sekeping kertas berbentuk segi empat sama.

Diberi RS = 8 cm , TU = 12 cm dan luas PQRSTU ialah 72 cm² . Hitung panjang , dalam cm , bagi ST .

Diagram 5 shows a shape PQRSTU cut from a piece of square paper . Given that RS = 8 cm , TU = 12 cm and the area of PQRSTU is 72 cm² . Calculate the length , in cm of ST.

Accepted Answer

3

Answer

6

Answer

4

Answer

2

Question 16

Question 16.

Accepted Answer

14

Answer

13

Answer

23

Answer

26

Question 17

Rajah 6 sebuah gambar rajah Venn yang menunjukkan hubungan antara set M , set N dan set R . Diberi bahawa set semesta , $$\xi=M\cup N\cup R$$ . Antara berikut , yang manakah mewakili kawasan berlorek?

Diagram 6 is a Venn diagram that shows the relationship between set M , set N and set R . Given that the universal set , $$\xi=M\cup N\cup R$$ . Which of the following represents the shaded region?

Accepted Answer

$$\left(N\cap R\right)\cup M$$

Answer

$$N\cup\left(M\cap R\right)$$

Answer

$$R\cup\left(M$$

Answer

$$\left(N\cup R\right)\cap M$$

Question 18

Question 18.

Accepted Answer

Option B is correct

Answer

A.

Answer

C.

Answer

D.

Question 19

Antara yang berikut , yang manakah merupakan graf mudah?

Which of the following is simple graph ?

Accepted Answer

Option A is correct

Answer

B.

Answer

C.

Answer

D.

Question 20

Antara gambar rajah Venn berikut , yang manakah mewakili $$P\cup Q=P$$ dan $$R\cap Q e\left\{ ight\}\ $$ dengan keadaan set semesta $$\xi=P\cup Q\cup R$$ ?

Which of the following Venn diagram represents $$P\cup Q=P$$ and $$R\cap Q e\left\{ ight\}$$ such that the universal set $$\xi=P\cup Q\cup R$$ ?

Accepted Answer

Option A is correct

Answer

B.

Answer

C.

Answer

D.

Question 21

Ringkaskan / Simplify $$2\left(m^{\frac{2}{3}}n^{-1} ight)^{-3}\ imes\frac{m^{-3}}{n^2}$$

Accepted Answer

$$\frac{2n}{m^5}$$

Answer

$$\frac{8n}{m^5}$$

Answer

$$\frac{2n^6}{n^6}$$

Answer

$$\frac{8m^6}{n^6}$$

Question 22

Diberi $$2+h=\frac{7-4g}{3}$$ , ungkapkan g dalam sebutan h .

Given that $$2+h=\frac{7-4g}{3}$$ , express g in terms of h.

Accepted Answer

$$g=\frac{1-3h}{4}$$

Answer

$$g=\frac{1-h}{4}$$

Answer

$$g=\frac{13-h}{4}$$

Answer

$$g=\frac{7-9h}{4}$$

Question 23

Diberi $$2p-8=4\left(3-p\right)$$ , maka $$p=$$

Given that $$2p-8=4\left(3-p\right)$$ , then $$p=$$

Accepted Answer

$$\frac{10}{3}$$

Answer

$$-20$$

Answer

$$-4$$

Answer

$$\frac{20}{3}$$

Question 24

Cari nilai / Find the value of $$\frac{2^2 imes3^3}{\left(27\ imes4^{-6} ight)^{\frac{2}{3}}}$$

Accepted Answer

3072

Answer

60

Answer

341

Answer

512

Question 25

Diberi bahawa $$5\le s\le7$$ dan $$2-t<4$$ ,dengan keadaan s dan t ialah integer . Cari nilai terbesar bagi $$s-t$$ .

Given that $$5\le s<7$$ and $$2-t<4$$ ,where s and t are integers . Find the maximum value of $$s-t$$

Accepted Answer

7

Answer

5

Answer

8

Answer

9

Question 26

Rajah di bawah menunjukkan dua segi tiga bersudut tegak , JKL dan JMN . MNP ialah garis lurus dan JL = LM .

Diberi $$\sin\ \angle LJK=\frac{4}{5}$$ , cari nilai kos $$ heta$$

The diagram shows two right-angled triangles , JKL and JMN . MNP is a straight line and JL = LM . find the value of $$\cos\ heta$$

Accepted Answer

$$-\frac{5}{13}$$

Answer

$$\frac{5}{13}$$

Answer

$$\frac{5}{12}$$

Answer

$$-\frac{5}{12}$$

Question 27

Rajah menunjukkan suatu graf . Nyatakan fungsi trigonometri bagi graf ini.

The diagram shows a graph . State the trigonometric function of the graph .

Accepted Answer

Option B is correct

Answer

A.

Answer

C.

Answer

D.

Question 28

Rajah menunjukkan sebuah plot batang-dan-daun yang menunjukkan markah Matematik bagi murid kelas 4 Beta dalam satu ujian .

Murid yang mendapat kurang daripada 70 markah perlu menghadiri kelas tambahan . Berapa peratuskah murid yang perlu menghadiri kelas tambahan?

Accepted Answer

$$32\%$$

Answer

$$24\%$$

Answer

$$36\%$$

Answer

$$40\%$$

Question 29

Rajah 8 menunjukkan data harga jual , dalam RM , pembersih udara bagi jenama tertentu yang telah direkodkan untuk 11 buah kedai .

Cari harga median bagi pembersih udara jenama tersebut.

Diagram 8 shows the selling price data , in RM , of a certain brand of air purifier recorded for 11 stores . Find the median price of the brand of air purifier.

Accepted Answer

320

Answer

302

Answer

329

Answer

330

Question 30

Rajah 9 menunjukkan plot kotak masa menunggu untuk ujian pengesanan COVID-19 bagi 100 orang pekerja di sebuah syarikat .

Cari beza masa , dalam minit , antara masa menunggu paling lama dan masa menunggu yang paling pendek .

Accepted Answer

78

Answer

30

Answer

38

Answer

40

Question 31

Diberi PQ ialah satu garis lurus dengan koordinat P(5 ,4 ) dan Q ( k ,3) dan kecerunannya ialah 5. Hitung nilai k .

Given PQ is a straight line with coordinate P (5, 4) and Q ( k ,3) and its gradient is 5 , calculate the value of k .

Accepted Answer

$$\frac{24}{5}$$

Answer

24

Answer

5

Answer

$$\frac{1}{5}$$

Question 32

Rajah 12 menunjukkan garis lurus PQ yang memintas paksi-y pada titik ( 0,6) . O ialah asalan.

Antara berikut , yang manakah persamaan bagi garis lurus PQ?

Diagram 12 shows a straight line PQ intersecting the y - axis at point ( 0,6) , O is the origin. Which of the followings is the equation of the straight line PQ?

Accepted Answer

$$3y=-x+18$$

Answer

$$3y=-x+16$$

Answer

$$3y-x=6$$

Answer

$$3y-x=18$$

Question 33

Antara graf berikut , yang manakah mewakili $$y=-3+x^3$$

Which of the following graphs represents $$y=-3+x^3$$

Accepted Answer

Option A is correct

Answer

B.

Answer

C.

Answer

D.

Question 34

Antara rantau berlorek dalam gambar rajah Venn berikut , yang manakah mewakili set $$P\cup\left(Q\cap R\right)$$ ?

Which of the following shaded region in the Venn diagrams represents the set $$P\cup\left(Q\cap R\right)$$ ?

Accepted Answer

Option A is correct

Answer

B.

Answer

C.

Answer

D.

Question 35

Rajah 13 menunjukkan satu gambar rajah Venn .Senaraikan semua unsur bagi $$P\cap Q\cap R$$

Diagram 13 shows a Venn diagram . List all the elements of $$P\cap Q\cap R$$

Accepted Answer

{2,8}

Answer

{2,5,8}

Answer

{2,6,8,9}

Answer

{1,3,4,5,6,7,9}

Question 36

Jumlah pendapatan tahunan Irene pada tahun 2020 ialah RM72 350 . Dia telah menderma RM1 200 kepada sebuah pusat dialisis . Jumlah pelepasan cukainya ialah RM15 680 . Hitung pendapatan bercukai bagi Irene.

The total annual income of Irene in 2020 was RM72 350 .She donated RM1 200 to dyalisis centre . Her total tax relief was RM15 680 . Calculate the chargeable income of Irene.

Accepted Answer

RM55 470

Answer

RM51 070

Answer

RM53 470

Answer

RM54 290

Question 37

A box contains 6 blue cards , 8 red cards and a few yellow cards. A card is chosen at random from the box. The probability of choosing a red card is $$\frac{1}{3}$$ . Calculate the probability of choosing a card that is not yellow.

Accepted Answer

$$\frac{7}{12}$$

Answer

$$\frac{5}{12}$$

Answer

$$\frac{2}{3}$$

Answer

$$\frac{3}{4}$$

Question 38

Diberi bahawa y berubah secara langsung dengan m dan secara songsang dengan punca kuasa dua n . Apabila y = 4 , m = 3 dan n= 36 , hitung nilai n apabila y = 12 dan m = 6 .

It is given that y varies directly as m and ineversely as square root of n . When y = 4 , m = 3 and n = 36 , calculate the value of n when y = 12 and m = 6 .

Accepted Answer

16

Answer

2

Answer

4

Answer

8

Question 39

Question 39.

Accepted Answer

Option B is correct

Answer

A.

Answer

C.

Answer

D.

Question 40

Rajah 21 menunjukkan graf bagi dua fungsi kuadratik yang dilukis pada paksi yang sama . Nyatakan satu nilai yang mungkin bagi a.

Diagram 21 shows the graph of two quadratic functions drawn on the same axis. State the possible value of a.

Accepted Answer

$$-\frac{7}{2}$$

Answer

$$-\frac{1}{2}$$

Answer

$$-\frac{3}{2}$$

Answer

$$-\frac{5}{2}$$

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