Free Printable I T T 2, Semester 1, Math F5 2020

1.

1. Which quotient is rounded off correctly to three significant figures?

a)

A 0.0386 $\div$ 2 $\rightarrow$ 0.002

b)

B 0.124 $\div$ 0.63 $\rightarrow$ 0.196

c)

C 4200 $\div$ 3 $\rightarrow$ 140

d)

D 65360 $\div$ 40 $\rightarrow$ 1630

2.

2. $57\ \times\ 10^7-\left(4\times10^2\right)^3=$

a)

A $5.06\times10^8$

b)

B $5.58\times10^8$

c)

C $5.64\times10^8$

d)

D $5.66\times10^8$

3.

3. A rectangular floor has width 120 m and length 240 m. 30% of the floor will be covered with red square tiles and the side of the tiles is 30 cm.

Calculate the number of red tiles required to covered the floor.

a)

A $3.2\times10^5$

b)

B $9.6\times10^4$

c)

C $9.6\times10^2$

d)

D $3.2\times10$

4.

4. Given $100101_2-x_2=10000_2$ , find the value of x.

a)

A $11101_2$

b)

B $11010_2$

c)

C $10101_2$

d)

D $101_2$

5.

5. Express $423_5$ as a number in base eight.

a)

A $746_8$

b)

B $647_8$

c)

C $161_8$

d)

D $113_8$

6.

6. Given that $53p_8$ is a three digit number in base eight. if $53p_8=101011110_2$ , find the value of p.

a)

A 3

b)

B 4

c)

C 5

d)

D 6

7.

7. In Diagram 7, JKLMN is a regular pentagon. MNF and LEF are straight lines.

The value of x is

a)

A 93

b)

B 36

c)

C 21

d)

D 18

8.

8. Diagram 8 shows a regular hexagon JKLMNP. FGH is a straight line.

Calculate the value of $y\ -\ x$

a)

A 135

b)

B 120

c)

C 30

d)

D 15

9.

9. In Diagram 9, KLMN is a tangent to the circle MPR at point M. PSM is a straight line.

Find the value if x.

a)

A 100

b)

B 115

c)

C 145

d)

D 150

10.

10. Diagram 10 shows five points plotted on a Cartesian plane.

Which of the points A, B, C or D is the image of point K under an enlargement with scale factor of -2 at center $\left(2,\ -1\right)$ ?

a)

A

b)

B

c)

C

d)

D

11.

11. In the figure above, the point P and point Q lies on the arc of a unit circle with centre O.

Find the value of $2\ \sin\ x\degree+\cos\ y\degree$

a)

A 1.77

b)

B 2.01

c)

C 2.18

d)

D 2.38

12.

12. Diagram 11 shows two quadrilaterals, M and N , drawn on square grids.

N is the image of M under an anticlockwise rotation $90\degree$
Which of the points A, B, C or D is the centre of the rotation?

a)

A

b)

B

c)

C

d)

D

13.

13. Which of the following graphs represent $y=\cos\ 2x$ ?

a)

b)

c)

d)

14.

14. Diagram 14 shows a right prism with rectangular base EFGH . The right-angled triangle EFK is the uniform cross section of the prism.

State the angle between the plane FGML and the base EFGH.

a)

A $\angle\ LFH$

b)

B $\angle\ MGE$

c)

C $\angle\ MGH$

d)

D $\angle\ LFG$

15.

15. Fin makes an observation from the top of tower P. She observes the top of tower Q at an angle of elevation and observes the top of tower R at an angle of depression.

Which of the following diagram represents the situation above ?

a)

b)

c)

d)

16.

16. Diagram 16 shows a wall PQ and two vertical poles, JK and LM with equal height.

Given that the angle of elevation of the peak Q from the peak J is $65\degree$ .
Calculate the angle of depression of peak L from peak Q.

a)

A $35\degree\ 33'$

b)

B $44\degree\ 22'$

c)

C $45\degree\ 37'$

d)

D $54\degree\ 27'$

17.

17. Point P, Q and R lie on the horizontal plane. The bearing of Q from P is $215\degree$ . R lies due north of Q. Given that $\angle\ QRP$ is $110\degree$ . Find the bearing of R from P.

a)

A $070\degree$

b)

B $110\degree$

c)

C $215\degree$

d)

D $250\degree$

18.

18. In Diagram 18, N is the North Pole. S is the South Pole. O is the centre of the earth, AOD is the diameter of the earth and UMS is the Greenwich Meridian.

Which of the points A, B, C and D has a location $\left(70\degree N,\ 110\degree E\right)$ ?

a)

A

b)

B

c)

C

d)

D

19.

19 Given $s=\frac{-3\left(r-2\right)}{5r}$ , express r in terms of s.

a)

A $r=\frac{2}{5s+3}$

b)

B $r=\frac{-2}{5s+3}$

c)

C $r=\frac{6}{5s-3}$

d)

D $r=\frac{6}{5s+3}$

20.

20. Factorise completely $\left(2q-3\right)^2+17q-18.$

a)

A $\left(4q+9\right)\left(q+1\right)$

b)

B $\left(4q+9\right)\left(q-1\right)$

c)

C $\left(4q-9\right)\left(q+1\right)$

d)

D $\left(4q-9\right)\left(q-1\right)$

21.

21 Express $\frac{5p-q}{pq}-\frac{10-q}{2q}$ as a single fraction in its simplest form.

a)

A $\frac{p-2}{2p}$

b)

B $\frac{2-p}{2p}$

c)

C $\frac{p-2q}{2p}$

d)

D $\frac{pq-2}{2p}$

22.

22. Given that $\frac{5q-5}{3}=6-\left(q-3\right)$ , find the value of q.

a)

A - 2

b)

B 4

c)

C 8

d)

D 11

23.

23 Simplify $\frac{\sqrt{81m^3n^2}}{3m^2n^{-4}}$

a)

A $\frac{3m}{n^{-2}}$

b)

B $27mn^6$

c)

C $\frac{9n^6}{\sqrt{m}}$

d)

D $\frac{3n^5}{\sqrt{m}}$

24.

24. Given that $3^{\frac{k}{2}}=\frac{27^{k+1}}{81^k}$ , find the value of k.

a)

A $\frac{2}{3}$

b)

B $\frac{3}{2}$

c)

C 2

d)

D 3

25.

25. Diagram 25 shows a number line.

List all the integers that satisfy the number line above.

a)

A $-2,\ -1,\ 0,\ 1,\ 2,\ 3,\ 4,\ 5$

b)

B $-2,\ -1,\ 0,\ 1,\ 2,\ 3,\ 4$

c)

C $-1,\ 0,\ 1,\ 2,\ 3,\ 4$

d)

D $0,\ 1,\ 2,\ 3,\ 4$

26.

26. Given a set $P=\left\{x\ :\ x>3,\ x\ is\ an\ integer\right\}$
Which of the following linear inequalities represents set P?

a)

A $13\ -2x<5$

b)

B $13-2x\le5$

c)

C $13-2x>5$

d)

D $13-2x\ge5$

27.

27. The line graph in Diagram 27 shows the number of tourist who visit Pahang for period of 6 months.

The mode of the data is

a)

A 1 500

b)

B 1 750

c)

C 1 833

d)

D 3 000

28.

28. Diagram 28 is a pictogram shows the number of cars sold by a company in January, February and April. The number of cars sold in March is not shown.

The ratio of the number of cars sold in February to number of cars sold in March is 5 : 6.

Calculate the percentage of cars sold in March.

a)

A 54.54%

b)

B 53.33%

c)

C 34.78%

d)

D 32.65%

29.

29. Diagram 29 shows an ogive of the mass, in kg, for a group of a students in a class.

The modal class is

a)

A 44.5 - 49.5

b)

B 45 - 49

c)

C 60 - 64

d)

D 59.5 - 64.5

30.

30. Diagram 30 shows the shaded region satisfy the three inequalities represents by the three straight lines.

The three inequalities are

a)

A $y\le2x+2\ ,\ y\ge7-x\ ,\ x\ge1$

b)

B $y\le2x+2\ ,\ y\le7-x\ ,\ y\ge1$

c)

C $y\le2x+2\ ,\ y>7-x\ ,\ x\ge1$

d)

D $y\le2x+2\ ,\ y<7-x\ ,\ y\ge1$

31.

31 Diagram 31 shows $\xi=P\cup Q\cup R.$ .
Which of the following region A, B, C and D represents $P\cap R'\cap Q\ ?$

a)

A

b)

B

c)

C

d)

D

32.

32 Diagram 32 shows a group of 80 tour guides who can speak French and Korean.

Given set F = {Tour guides who can speak French}, and

set K = {tour guides who can speak Korean}

53 of them can speak French and 41 can speak Korean. How many of tour guides can speak Korean only?

a)

A 12

b)

B 14

c)

C 27

d)

D 39

33.

33. Diagram 33 shows a straight line PQR.

Find the value of n.

a)

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

b)

B 2

c)

C 3

d)

D $\frac{11}{3}$

34.

34. Diagram 34 shows two straight lines, RS and MN, on a Cartesian plane.

Given that RS is parallel to MN, find the equation of MN.

a)

A $y=3x+4$

b)

B $3y+4x=\ 1$

c)

C $3y-4x=0$

d)

D $y=-\frac{3}{4}x$

35.

35. Eight balls are numbered as shown in the figure above and inserted into an empty container.

Kamal added x balls labelled with prime numbers into the container. A ball is then selected at random from the container.If the probability that the ball labelled with prime number selected is 0.75, find the value of x.

a)

A 8

b)

B 9

c)

C 10

d)

D 12

36.

36. A box contains some black, white and red T-shirts. If a T-shirt is selected at random from the box, the probability of getting a black T-shirt is $\frac{3}{7}$ and the probability of getting a white T-shirt is $\frac{1}{3}$ .
Find the number of red T-shirts in the box if it contains 18 black T-shirts.

a)

A 6

b)

B 10

c)

C 15

d)

D 18

37.

37. Boyle's law says that when the temperature stays the same, the pressure P of a gas is inversely proportional to the volume V. If a cylinder in a steam engine has a pressure of 970 kilopascals then the volume is 1.4 cubic metres.

Find the pressure P when the volume increases to 2.5 cubic metres.

a)

A 168.6

b)

B 537.6

c)

C 1054

d)

D 1714

38.

38. Given $MN^{\frac{1}{3}}=k$ such that k is a constant.
Which of the following statement is true?