Modul Matematik Tingkatan 4

8/11/2019 Modul Matematik Tingkatan 4

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MODUL RELIEF BESTARI MATEMATIK T4

Chapter 1: Standard Form

1. Round off 0.0487 correct to two significantfigures.

A 0.04B 0.05

C 0.048D 0.049

2. 2.7105 +77000 =

A 1.04 105

B 1.04 109

C 3.47 105D 3.47 109

3. The area of a rectangular plot of land is 9.2km

2. Its width is 2300 m. Find the length, in

m, of the plot of land.

A 4 103B 4 10

4

C 6.9 103

D 6.9 104

4. Express 0.0000405 in standard form.

A 4.05 10-5

B 4.05 105C 405 10-7

D 405 107

5.

()

A 232103

B 232104

C 58103

D 58104

6. 5.34 x 10-73.7 x 10-8=

A 1.64 10-8

B 1.64 10-7

C 4.97 10-8

D 4.9710-7

7. Round off 007207 correct to three significant

figures.

A 007

B 0072

C 00720D 00721

8. Round off 80725 correct to three significant

figures.

A 80700

B 80720

C 80730

D 80800

9. Express 9 9263 10-6

as a single number.

A 0009263

B 00009263

C 000009263

D 0000009263

10.

=

A 5103

B 5104

C 5 10-8

D 5 10-9


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Chapter 3: Sets

1. A = {students who likes to play badminton}B = {students who likes to play basketball}

Given that n(A) = 39, n(B) = 145, n(AB) = 18.Find the total number of students, n()

2. A = {students who likes to play badminton}B = {students who likes to play basketball}

Given that n() = 265, n(A) = 39, n(B) = 145,n(AB) = 18.

Find the number of students who did not like toplay both the badminton and basketball.

3. Shade the region PQR 4. Shade the region PQR

5. Shade the region X 6. Shade the region Y

7. Shade the region Z 8. Shade the region X Y

X Y Z

X Y Z

P Q

R

P Q

R

X Y ZX YZ


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Chapter 4: Mathematical Reasoning

1.(a) State whether the following statement is true or false.

- 3 > - 4 or 23 = 6

(b) Write down two implications based on the following sentence.

x is a multiple of 3 if and only if it is divisible by 3

(c) Complete the premise in the following argument.

Premise 1 : All integers less than zero are negative integers.

Premise 2 : ________________________________________

Conclusion : y is a negative number.

2. (a) Is the following sentence a statement or a non-statement?

1 is a prime number.

(b) write down the conclusion in the following argument .

Premise 1 : If the side of the cube is 4 cm, then its volume is 64cm3

Premise 2 : The volume of cube p is not 64cm3

Conclusion : __________________________________________________

(c) Make a general conclusion by induction based on the numerical sequence

below

0 = 121

3 = 221

8 = 321

15 = 321

General conclusion: ________________________________________


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Chapter 5: The Straight Lines

1. Diagram below shows the straight line CD is parallel to the straight line UZV.

Find

a) The gradient of the straight line CD

b)The equation of the straight line UZV

c) The y-intercept of the straight line UZV

2. In the diagram below, the straight line FG is parallel to the x-axis while the straight line EF and HG are

parallel. The gradient of the line EF is 2.

Find

a)

The value of k

b)The equation of the straight line GH

c) The x-intercept of the straight line GH


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Chapter 6: Statistics

1. Data below shows the payment in RM, by 32

drivers at a toll booth.

a) Based on the data given, complete the table

provided.

Payment,

RM

Frequency Midpoint

1012

13 - 15

b) Based on the table (a),

i) State the modal class

ii) Calculate the mean of the toll paid by a

driver

c) Use the graph paper.

By using a scale of 2cm to RM3 on the

horizontal axis and 2cm to 1 driver on the

vertical axis, draw a histogram for the data.

2. The table shows the frequency distribution of

the ages of 88 workers in a factory.

Ages (Years) Frequency

26 - 30 3

31 - 35 9

36 - 40 27

41 - 45 31

46 - 50 11

51 - 55 5

56 - 60 2

a) Calculate the estimated mean of the ages of a

worker.

b) Based on the table, write down the values of

the upper boundary and cumulative

frequency.

Upper BoundaryCumulative

Frequency

25.5 0

30.5

c) By using a scale of 2cm to 5years on the

horizontal axis and 2cm to 10 workers on the

vertical axis, draw an ogive for the data.

25 29 27 10 22 28 21 14

27 24 29 27 22 13 20 21

27 26 18 25 16 19 16 24

31 26 29 19 33 25 23 24


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Chapter 7: Probability

1. In a group of 45 students, 35 are girls. Afurther 5 boys then join the group. If a

student is chosen at random from the

group, state the probability that the

student is chosen is a boy

A.

B.

C.

D.

2. A jar contains 270 sweets of orange,

lychee and coffee flavour. There are 48orange flavoured sweets. If a sweet ispicked at random from the jar, the

probability of picking a lychee flavoured

sweet is

. How many coffee flavoured

sweets are there ?

A. 90

B. 132

C. 106D. 16

3.

The diagram above shows some numbercards. If a card is picked randomly, find

the probability that a multiple of 4 is picked.

A.

B.

C.

D.

4. During Christmas, Angela sent 6 greeting

cards to her friends, 5 greeting cards to

her relatives and 2 greeting cards to herbrothers. If a greeting card sent by

Angela is randomly selected, the

probability that it was not sent to her

brother is

A.

B.

C.

D.

5. A class has 18 boys and k girls. If astudent is picked at random from the

class, the probability that the student

picked is a girl is

. Find the value of k.

A. 18

B. 24C. 30

D. 42

6. The probability of Hafiz choosing a green

coloured shirt is 15%. If Hafiz has 20shirts, how many shirts are green?

A. 3B. 4

C. 5

D. 6

7. A box contains 40 red buttons and some

white buttons. The probability of

choosing at random a white button from

the box is

. Find the number of white

buttons in the box.A 56

B 100

C 120D 140

16 18 22 28 60 84


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Chapter 8: Circle III

1. Given PQR is a tangent to the circle QSTU.

Find the value of

a) x

b) y

2. In the diagram, ABC is a tangent to the circle BEFG.

Find the value of

a) x

b) y

3. PQR is a tangent to the circle QSTU with centre O.

Find the value of

a) x

b) y

4. In the diagram, PQR is a tangent to the circle with centre O.

Find the value of

a) x

b) y


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Chapter 10: Angles of Elevation and Depression

1. Diagram 1 shows a post QR which is vertical to the ground. An observer P looks up at R

Name the angle of elevation concerned.

2. In the diagram 2, ADC represents a vertical tower. Given that the angles of elevation of D and C from

B are 30oand 50orespectively.

Calculate the distance from D to C.

3. In the diagram 3, PQ and SR are two vertical poles on a horizontal plane. The angle of elevation of R

from P is 52.

Calculate the value of h.

Modul Matematik Tingkatan 4

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