Free Printable SPM2022 MATH HOUR (1)

1.

A number P, when rounded to three significant figures is 13 000.

The possible value of P is

a)

12 847

b)

12 954

c)

13 050

d)

13 100

2.

Round off 0.0093456 to three significant figures and subtract to 0.000814.

a)

$8.516\ \times10^{-2}$

b)

$8.536\ \times10^{-2}$

c)

$8.529\ \times10^{-3}$

d)

$8.536\times10^{-3}$

3.

Zuhdi has 168 kg of sand. He used 60% of the sand to make a wall. The remaining sand is divided equally into 3 bags.

FInd the mass, in g, of the sand in each bag.

a)

$2.24\times10^{-4}$

b)

$2.24\times10^4$

c)

$3.36\ \times10^{-4}$

d)

$3.36\times10^4$

4.

$100111_2\ -\ 1011_2=$

a)

$1110_2$

b)

$10100_2$

c)

$11100_2$

d)

$11110_2$

5.

Which of the following is true?

a)

$26=121_5$

b)

$53_6=210_4$

c)

$321_9=10012_4$

d)

$10101_2=23_8$

6.

Diagram 1 below shows a hexagon.

Find the value of z.

a)

130

b)

220

c)

260

d)

720

7.

Diagram 2 shows a regular pentagon JKLMN and an equilateral triangle LUV.

Given JUK is a straight line.

Find the value of $p+q$ .

a)

$115\degree$

b)

$125\degree$

c)

$139\degree$

d)

$168\degree$

8.

Diagram 3 shows a circle centered at O. PQR is a tangent to the circle.

Given that QS = QT and $<PQT=65\degree$ , calculate the value of x.

a)

$50\degree$

b)

$65\degree$

c)

$115\degree$

d)

$130\degree$

9.

Diagram 4 shows two circles centered at P and Q.

The circle with center P has a radius of 4 cm while the circle with center Q has a radius of 2 cm.

Between points A, B, C and D, which is 4 cm from P and less than 2 cm from ?

a)

A

b)

B

c)

C

d)

D

10.

Diagram 5 shows five Mickey Mouse patterns P, A,B, C and D drawn by Alisha on a Cartesian plane on a plain paper.

Among the pattern A, B, C and D, which is the image of P under a reflection in the straight line $y=x$

a)

A

b)

B

c)

C

d)

D

11.

A bag contains x black pen, 14 red pen and y blue pen. The total number of all pens are 30. A pen is chosen random from the bag.

The probability of choosing a black pen is $\frac{1}{3}$ and blue pen is $\frac{1}{5}$ .

Find the value of x and y.

a)

$x=6,\ y=10$

b)

$x=5,\ y=3$

c)

$x=10,y=6$

d)

$x=3,\ y=5$

12.

A box contains 35 yellow towels and some red towels. A towel is chosen at random from the box. Probbaility of choosing a red towel is $\frac{2}{7}$ .

Find the number of red towels in the box.

a)

10

b)

12

c)

14

d)

16

13.

$\left(3p-2\right)^2-\left(p-1\right)\left(2p-4\right)=$

a)

$7p^2-6p$

b)

$4p^2-6p$

c)

$7p^2-18p+8$

d)

$4p^2-5p+6$

14.

Given that $\frac{2n}{\sqrt[]{m}-1}=\frac{3}{n}$ , express m in terms of n.

a)

$m=\frac{2}{3}n^2+1$

b)

$m=\frac{\left(2n^2+1\right)^2}{9}\oint_x^y$

c)

$m=\frac{\left(2n^2+3\right)^2}{9}$

d)

$m=\left(\frac{2n^2+3}{9}\right)^2$

15.

Which of the following is the graph of $y=2-x^3$

a)

b)

c)

d)

16.

Below is the number of books sold by a group of salesman at JAYA Book Store.

29, 21, 18, 30, 13, 25, 24.

Calculate the standard deviation of the data.

a)

$4.147$

b)

$5.508$

c)

$5.592$

d)

$6.325$

17.

Table 1 shows the size of the shirts purchased by 4UIA class students.

FInd the median of the shirt size.

a)

S

b)

M

c)

XL

d)

XXL

18.

Diagram 7 shows a rectangular scale drawing.

If the scale used is 1 : 5, calculate the actual area of the drawing.

a)

$35\ cm^2$

b)

$120\ cm^2$

c)

$175\ cm^2$

d)

$875\ cm^2$

19.

Diagram 8 shows two right-angled triangles.

Find the value of cos x.

a)

$\frac{5}{12}$

b)

$\frac{13}{12}$

c)

$\frac{5}{13}$

d)

$\frac{12}{13}$

20.

Diagram 9, triangles PQR and PST are similar.

Given that $\cos\ x=\frac{3}{5}$ , calculate the value of $\tan\ y$

a)

$\frac{2}{3}$

b)

$-\frac{4}{3}$

c)

$\frac{2}{3}$

d)

$\frac{4}{3}$

21.

Diagram 10 shows a directed and weighted graph.

Determine the value of $y_2$

a)

10

b)

15

c)

25

d)

30

22.

State the number of vertices, edges and degrees of the simple graph below.

a)

Vertices = 7

Edges = 8

Degrees = 16

b)

Vertices = 7

Edges = 9

Degrees = 18

c)

Vertices = 7

Edges = 10

Degrees = 20

d)

Vertices = 7

Edges = 11

Degrees = 22

23.

Diagram 11 shows the length of sides PQRS square.

Find the value of x.

a)

1

b)

4

c)

6

d)

12

24.

Diagram 12(a) shows the distance-time graph for the journey of Masyitah from Kuala Terengganu to Kemaman by a car in 2 hours.

Diagram 12(b) shows the speed-time graph for her return journey through the same path.

Calculate the value of t.

a)

0.8

b)

0.7

c)

0.6

d)

0.5

25.

List all the integers x that satisfy the inequalities $-2x\le8$ and $2x\le x+5$

a)

-3, -2, -1, 0, 1, 2, 3, 4

b)

-3, -2, -1, 0, 1, 2, 3, 4, 5

c)

-4, -3, -2, -1, 0, 1, 2, 3, 4, 5

d)

-4, -3, -2, -1, 0, 1, 2, 3, 4

26.

Given that $\frac{1}{p^q}=3^{-2}$ , find the value of p and of q.

a)

p = -3, q = -2

b)

p =3, q = 2

c)

p = 2, q = -3

d)

p = 2, q = 3

27.

Simplify $\frac{\left(\sqrt[]{mn}\right)^4\times\left(m^{-2}n^3\right)^2}{\left(m^4n^{-2}\right)^{\frac{1}{2}}}$

a)

$\frac{n^9}{m^4}$

b)

$\frac{m^5}{n^6}$

c)

$m^6n^5$

d)

$m^4n^{-7}$

28.

Diagram 13 shows a Venn diagram with the universal set, $\zeta$ , set A, set B and set C.

Find $n\left(A'\right)$ .

a)

3

b)

4

c)

5

d)

6

29.

Diagram 14 shows a Venn Diagram that shows the elements of set P, set Q and set R.

Given that set $\zeta=P\cup Q\cup R$ ,

Elements of set $\left(Q\cup R\right)'$ are

a)

d, g

b)

c, e, f

c)

b, c, e, f

d)

a, b, d, g, h

30.

Diagram 15 shows a straight line AB and BC on a Cartesian Plane.

Given that $AB=\frac{1}{3}BC$ , find the coordinates of the point A.

a)

(-9, 5)

b)

(-5, 9)

c)

(5, 9)

d)

(9, 5)

31.

The straight line PQ has gradient $-\frac{1}{3}$ .

Given Q (3, 5), find the y-intercept of line PQ.

a)

$\frac{1}{4}$

b)

$\frac{1}{6}$

c)

$4$

d)

$6$

32.

In Diagram 17, MN is a straight line drawn on a Cartesian plane.

Given the gradient of MN is $\frac{3}{4}$ , find the x-intercept of MN.

a)

3

b)

-3

c)

4

d)

-4

33.

P varies inversely as the square root of M. Given that the constant is k, find the relation between P and M.

a)

$P=kM^{\frac{1}{2}}$

b)

$P=\frac{k}{M^{\frac{1}{2}}}$

c)

$P=kM^2$

d)

$P=\frac{k}{M^2}$

34.

Table 4 shows some values of the variables p and q.

It is given that q varies inversely as the square of p. Calculate the value of t.

a)

6

b)

2

c)

$\frac{2}{3}$

d)

$\frac{1}{2}$

35.

Find the value of r.

a)

-5

b)

-4

c)

2

d)

3

36.

Determine the value of x.

a)

-2

b)

1

c)

2

d)

4

37.

Table 5 shows the time taken to achieve financial goal short-term and long-term financial goals.

Among the below pairs, which statement is correct to achieve financial goals.

a)

A

b)

B

c)

C

d)

D

38.

En Saiful purchased 500 000 units of Q shares at RM1.10 per unit. After 12 months, he sold all the shares at RM1.30 per unit.

Calculate the return of investment.

a)

18.18 %

b)

19.00 %

c)

19.19 %

d)

20.20 %

39.

Table 18 shows the furniture purchase invoice of Mr. Asyraf. The furniture store charged 5% for sales tax.

Calculate the sales tax to be paid by Mr. Asyraf.

a)

RM99.90

b)

RM249.90

c)

RM349.90

d)

RM449.90

40.

Puan Umairah has a fire insurance for her house with a deductible of RM7 000.

The fire policy has 85% co-insurance and the disposable value of the house is 1.5 million.

Puan Umairah's house suffered a fire and the loss assessment was RM272 000.

Calculate the co-insurance penalty if she has insures her house for RM920 000.

a)

RM75 733.33

b)

RM82 733.33

c)

RM105 173.33

d)

RM112 173.33

SPM2022 MATH HOUR (1)

Total questions: 40

Worksheet time: 20mins

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