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5E - PART 2

Total questions: 20

Worksheet time: 3600secs

Name
Class
Date
1.

Which of the following is the graph for

 y=x23y=\frac{x^2}{3}  ?

a)
b)
c)
d)
2.

The equation of line PQ is 3x – 2y = 6. Which of the following is true about the line PQ?

a)

The x-intercept of PQ is 3.

b)

The y-intercept of PQ is -2.

c)

The gradient of PQ is -3/2

d)

Point (4,3) lies on line PQ.

3.

Diagram 10 shows a group of students consists of five boys and four girls. A student is chosen at random. Which of the following is true?

a)

If a student is chosen from the group, the probability of choosing a girl with spectacles is 1/2

b)

If a student is chosen from the group of boy, the probability of choosing student with spectacles is 2/3

c)

If a student is chosen from the group of student with spectacles, the probability of choosing a boy is 2/3

d)

If a student is chosen from the group, the probability of choosing a boy is 4/9

4.

Which of the following will gave the answer as RM28 when round off to two significant figures?

a)

RM9.70 + RM18.90

b)

RM12.65 + RM14.75

c)

RM196.70 – RM168.20

d)

RM238.20 – RM210.30

5.

A rectangle with length 150 mm has an area of 150 cm2. Calculate the perimeter, in mm of the rectangle.

a)

1.6 x 102

b)

2.5 x 102

c)

3.2 x 102

d)

5.0 x 102

6.

Diagram 11 shows a rhombus TQRS. UTS and VPS are straight lines. Given that VT = TQ, find the value of x.

a)

29

b)

37

c)

42

d)

58

7.

Diagram 12 shows a vertical pole. A rope with bunting flags was tied from the peak of the pole to the point P that lies on the horizontal ground. Angle of depression of P from the top of the pole is 42o and the horizontal distance of

P from the bottom of the pole is 0.8 m. Calculate the length, in m, of the rope.

a)

0.72

b)

0.89

c)

1.08

d)

1.20

8.

Express 

 3mn−2−nm2n\frac{3}{mn}-\frac{2-n}{m^2n}  as a single fraction in its simplest form.

a)

 3m−2+nm2n\frac{3m-2+n}{m^2n}  

b)

 3m−2−nm2n\frac{3m-2-n}{m^2n}  

c)

 3−2+nm2n\frac{3-2+n}{m^2n}  

d)

 3−2−nm2n\frac{3-2-n}{m^2n}  

9.

 x3−34=x+1\frac{x}{3}-\frac{3}{4}=x+1  Calculate the value of x.

a)

 −218-\frac{21}{8}  

b)

 −53-\frac{5}{3}  

c)

 −54-\frac{5}{4}  

d)

 −23-\frac{2}{3}  

10.

Simplify  \left(e^{\frac{3}{2}}m^3\right)^2\div\left(e^2m^{-7}\right)  .

a)

 e−12m−1e^{-\frac{1}{2}}m^{-1}  

b)

 e−12m−13e^{-\frac{1}{2}}m^{-13}  

c)

 em−1em^{-1}  

d)

 em13em^{13}  

11.

List all the integers that satisfy the simultaneous linear inequalities  \frac{5}{2}-x\ge2x+4\ and\ -\frac{x}{2}-2\le x+3  

a)

-2, -1

b)

-2, -1, 0

c)

-3, -2, -1

d)

-3, -2, -1, 0

12.

Diagram 13 is an incomplete pictograph showing the number of packet of frozen currypuff sold by Puan Ani in four weeks. The ratio of curripuff sold in first week to the curripuff sold in fourth week is 2:3. One packet of curripuff sold at RM6 and the total sale in four weeks is RM1680. Calculate the percentage of sales in the second week.

a)

4.76%

b)

28.57%

c)

46.43%

d)

60.71%

13.

Diagram 14 is a line graph showing pocket money received by a group of students. If the information is represented by pie chart, calculate the angle of sector for mode of pocket money.

a)

15o

b)

30o

c)

45o

d)

900

14.

Given universal set  \xi=P\cup Q\cup R      such that   P⊂RP\subset R   ,   P∩Q≠ϕP\cap Q\ne\phi    and  Q⊄RQ\not\subset R   . Which of the following is the Venn Diagram for the relation of set P, set Q and set R?

a)
b)
c)
d)
15.

Diagram 15 is a Venn diagram showing the number of visitors in universal set, set P and set in a specific time. Table 1 shows the number of elements in each set. Given universal set = {visitors of agricultural expo}, set P = {visitors of Bird park} and set R = {visitors of butterfly park}. The number of visitors who did not enter any of the parks is 50. Admission fee to enter the agricultural expo is free but visitors have to pay RM5 to enter the Bird Park and RM6 to enter the Butterfly Park. For those who visit both parks, they only need to pay RM10. Calculate the amount of payment collected by the organizer during the period.

a)

RM1 226

b)

RM1 236

c)

RM1 238

d)

RM1 256

16.

Diagram 16 shows a straight ines PQ and RT. Both lines intersect at point T which lies on x-axis. Given equation of line RT is 2x – y = 6 and PT = 5 unit. Calculate the gradient of PQ.

a)


−52-\frac{5}{2}

b)

-2

c)

−43-\frac{4}{3}

d)

-1

17.

There are 20 boys in Mathematics club. The probability of choosing a girl at random from the club is 3/5. After holiday, 3 girls move in and become the member of the club. Calculate the number of girl members in Mathematics club now.

a)

11

b)

15

c)

30

d)

33

18.

x varies directly as square of y. Given that x = 3 when y = 4. Find the constant, k for the equation that relate x and y.

a)

6

b)

2

c)

34\frac{3}{4}

d)

316\frac{3}{16}

19.

Diagram 17 shows a graph P versus  \frac{1}{T^2}  . Express P in term of T when P = 2 and T = 9.

a)

 P=162T2P=\frac{162}{T^2}  

b)

 P=281T2P=\frac{2}{81}T^2  

c)

 P=6T2P=\frac{6}{T^2}  

d)

 P=23T2P=\frac{2}{3}T^2  

20.

Find the value of x and y.

a)


x=125, y=2x=\frac{12}{5},\ y=2

b)

x=85, y=43x=\frac{8}{5},\ y=\frac{4}{3}

c)

x=415, y=43x=\frac{4}{15},\ y=\frac{4}{3}

d)

x=25, y=2x=\frac{2}{5},\ y=2