Free Printable QUIZ ADD MATHS FORM 5

1.

Given area of the sector $POQ=25\ cm^2$ . Find the angle of POQ in radian.

a)

3.125 rad

b)

12.35 rad

c)

13.125 rad

d)

31.25 rad

2.

Convert y = 2 $\sqrt{x}$ + $\frac{7}{\sqrt{x}}$ into the form Y = mX + c. State the value of c.

a)

1

b)

2

c)

7/2

d)

7

3.

$\int\cos\left(3-4x\right)dx_{ }^{ }$

a)

$\frac{1}{4}\sin\left(3-4x\right)+C$

b)

$4\sin\left(3-4x\right)+C$

c)

$-\frac{1}{4}\sin\left(3-4x\right)+C$

d)

$-4\sin\left(3-4x\right)+C$

4.

Find the arc length (s) if given that r = 8 cm and $\theta=0.45\ rad$

a)

3.6 cm

b)

13.6 cm

c)

28.8 cm

d)

36 cm

5.

Given\ y=2x^2+4x-3

.

Find

\frac{\text{d}x}{\text{d}y}.

a)

$\frac{\text{d}x}{\text{d}y}=4x^2+4$

b)

$\frac{\text{d}x}{\text{d}y}=2x^2+4$

c)

$\frac{\text{d}x}{\text{d}y}=4x+4$

d)

$4x+4-3$

6.

The correct way to conver 5.6 rad to degree is......

a)

$5.6\times\frac{180}{\pi}$

b)

$5.6\times\frac{\pi}{180}$

c)

$5.6\div\frac{180}{\pi}$

d)

$5.6\div\frac{\pi}{180}$

7.

The correct method to convert $56^{\degree}$ to radian is.........

a)

$56+\frac{180}{\pi}$

b)

$56\times\frac{180}{\pi}$

c)

$56\times\frac{\pi}{180}$

d)

$56+\frac{\pi}{180}$

8.

Calculate the area of segment for the following diagram.

a)

$1.98\ cm^2$

b)

$11.98\ cm^2$

c)

$19.82\ cm^2$

d)

$1.198\ cm^2$

9.

Which of the following equations is correct for the relationship between degree and radian?

a)

$180\degree=\frac{1}{2}\pi\ \ rad$

b)

$180\degree=2\pi\ \ rad$

c)

$360\degree=2\pi\ rad$

d)

$360\degree=\pi\ \ rad$

10.

$360^0\$ is equal to

a)

$\pi$ rad

b)

2 $\pi$ rad

c)

3 $\pi$ rad

11.

If $\log_{a\ }p\ =\ x$ and $\log_{a\ }q\ =\ y$ express the following in term of x and y

$\left(i\ .\ \log_{a\ }p^2q\ \ \ \ \ ii\ .\log_{a\ }pq^{-1}\ \ \ iii.\ \log_a\ \frac{p}{q^2}\right)$

(a)

12.

Function f is defined as $f\ :\ x\ \rightarrow\ x+1$ . Find function g of the composite function below:

i ) $fg\ :\ x\ \rightarrow\ 2x^2\ -\ 4$

ii) $gf\ :\ x\rightarrow\ x^2\ +\ 3x\ +\ 5$

a)

$\left(i\ \right)g\ :\ x\rightarrow\ 2x^2\ -\ 7$ $\left(\ ii\right)g\ :\ x\rightarrow\ x^2\ +\ 4x\ -3$

b)

$\left(\ i\ \right)g\ :\ x\rightarrow\ 2x^2\ +\ 5$ $\left(ii\ \right)\ g:\ x\rightarrow x^2-x\ +\ 3$

c)

$\left(i\right)\ g\ :\ x\rightarrow2x^2-5$ $\left(ii\ \right)g\ :\ x\rightarrow\ x^2\ +\ x\ +\ 3$

d)

$\left(i\right)g\ :\ x\rightarrow\ 2x^2\ -7$ $\left(ii\ \right)\ g:\ x\rightarrow2x^2\ +x\ +3$

13.

Convert $145.6\degree$ to radian is

a)

25.4 rad

b)

12.54 rad

c)

2.54 rad

d)

0.254 rad

14.

Which of the following figure is refering to area of sector?

a)

b)

c)

d)

15.

Q.

Find the 10th term.

a)

16

b)

21

c)

12

d)

30

16.

Simplify the following as a single logarithm

$\left(i\ \right)\log_a\ h\ +\ 2\ \log_a\ k$

$\left(ii\right)\ 1\ +\ 3\log_2\ h\ -\ \log_2\ k$

a)

$\left(i\right)\ \log_a\ hk^2$ $\left(ii\right)\ \log_2\ \frac{2h^3}{k}$

b)

$\left(i\right)\ \log_a\ kh^2$ $\left(ii\right)\ \log_2\ \frac{2h^2}{k}$

c)

$\left(i\right)\ \log_{\ a}\ \frac{h^2k}{h}$

$\left(ii\right)\ \log_2\ \frac{2^2h^3}{k}$

17.

Given $s\ =\ r\theta$ . Which is false?

a)

s is arc length

b)

r is radius

c)

r is radian

18.

Find the total area of the shaded region.

a)

29.46 mm²

b)

32.11 mm²

c)

39.09 mm²

d)

51.92 mm²

19.

When she is outdoors, Tasha, the dog, is tied to a stake in the center of a circular area of radius 24 feet. The angle between her dog house and her favorite hydrant is 165 degrees. What is the length of the arc from her dog house to the hydrant, following minor arc DG, to the nearest foot.

a)

40

b)

35

c)

55

d)

69

20.

$\int\left(\frac{4}{x}-e_{ }^x\right)dx$

a)

$\frac{4}{x^2}-xe^x+C$

b)

$4\ln\left|x\right|-e^x+C$

c)

$4\ln\left(x\right)-e^x+C$

d)

$4\ln\left|x\right|+e^x+C$

21.

Find the arc length. Leave your answer in terms of π.

a)

7/4π

b)

7/2π

c)

1/8π

d)

45π

22.

A sector of a circle of radius 4 cm has an angle of 1.2 radians. Find the perimeter of the sector.

a)

4.8 cm

b)

8.8 cm

c)

12.8 cm

d)

potatoes

23.

$y=2x^3+3x^2-5\ \ \$

Find\ \frac{\text{d}x}{\text{d}y}

a)

$6x^2+6x$

b)

$2x^2+3x$

c)

$6x^3+6x^2$

d)

$6x^4+6x^3-5x$

24.

Differentiate the function below with respect to x

8x^2-\frac{4}{x}

a)

$16x+\frac{4}{x^2}$

b)

$8x+\frac{4}{x^2}$

c)

$16x-\frac{4}{x^2}$

d)

$16x-4x$

25.

Convert $\frac{\pi}{2}$ rad to degree .

a)

$270\degree$

b)

$180\degree$

c)

$45\degree$

d)

$90\degree$

26.

Find dy/dx by using implicit differentiation
$x^3+y^3=36$

a)

$-x^2y^2$

b)

$3x^2+3y^2$

c)

$-\frac{x^2}{y^2}$

d)

$-x^3-y^3$

27.

$360^0\$ is equal to

a)

$\pi$ rad

b)

2 $\pi$ rad

c)

3 $\pi$ rad

28.

Given the function f(k) = k² - 3.

State the object.

a)

y

b)

x

c)

f

d)

k

29.

Without using scientific calculator, express the following surd in the simplest surd form

i) $\sqrt[]{12}$

ii) $\sqrt[]{27}$

a)

$\left(i\right)\ 2\ \sqrt[]{3}$

$\left(ii\right)\ 3\sqrt[]{3}$

b)

$\left(i\right)\ 2\sqrt[]{3}$ $\left(ii\right)\ 4\sqrt[]{2}$

c)

$\left(i\right)2\sqrt[]{6}$ $\left(ii\right)3\sqrt[]{9}$

d)

$\left(i\right)2\sqrt[]{4}$ $\left(ii\right)3\sqrt[]{2}$

30.

Find the derivative for

f\left(x\right)=\left(25-x^2\right)^{\frac{1}{2}}

a)

$-x\left(25-x^2\right)^{\frac{1}{2}}$

b)

$-2\left(25-x^2\right)^{\frac{1}{2}}$

c)

$-x\left(25-x^2\right)^{-\frac{1}{2}}$

d)

$-2x\left(25-x^2\right)^{-\frac{1}{2}}$

31.

What is the derivative of $\frac{1}{\sqrt{x}}$

a)

$\frac{\sqrt{x^3}}{2}$

b)

$\frac{-\sqrt{x^3}}{2}$

c)

$\frac{-\sqrt{x}}{2}$

d)

$\frac{\sqrt{x}}{2}$

32.

a)

35.24

b)

32.54

c)

34.25

d)

35.42

33.

What is differentiation?

a)

Teacher has one way of teaching

b)

Teacher varies teaching strategies to create the best learning experience

34.

Find $\frac{dy}{dx}$ for $y=\frac{3x+2^{ }}{2x+1}$

a)

$-\frac{1}{\left(2x+1\right)^2}$

b)

$\frac{1}{\left(2x+1\right)^2}$

c)

$-\frac{2}{\left(2x+1\right)^2}$

d)

$2x+1$

35.

The following are the methods to determine the roots of quadratic equation, except

a)

completing the square

b)

completing the cube

c)

factorization

d)

quadratic formulae

36.

Given $f(x)=2x+17,\ find\ f(-3)$

a)

11

b)

15

c)

16

d)

17

37.

Differentiate y = sin (4x)

a)

$\frac{dy}{dx}\ =\ 4\ \cos\left(4x\right)$

b)

$\frac{dy}{dx}\ =\ \cos\left(4x\right)$

c)

$\frac{dy}{dx}\ =\ \frac{1}{4}\ \cos\left(4x\right)$

d)

$\frac{dy}{dx}\ =\ -4\cos\left(4x\right)$

38.

What is the derivative of

\sqrt{x^3}

a)

$\frac{3\sqrt{x}}{2}$

b)

$\frac{1}{2\sqrt{x}}$

c)

$\frac{3}{2\sqrt{x}}$

d)

$\frac{\sqrt{x}}{2}$

39.

Differentiate y = cos(4x - 5)

a)

$\frac{dy}{dx}\ =\ -4\ \sin\left(4x\ +\ 5\right)$

b)

$\frac{dy}{dx}\ =\ -4\cos\left(4x\ -\ 5\right)$

c)

$\frac{dy}{dx}\ =\ -4\sin\left(4x\ -\ 5\right)$

d)

$\frac{dy}{dx}=-8\sin\left(4x\ -5\right)$ y

40.

Two function f and g are defined as $f\ :\ x\ \rightarrow\ 3x\ +\ 2\ dan\ g\ :\ x\ \rightarrow\ x^2\ -\ 2$ Find the value of x when

i) $f\ =\ g$

ii) $fg\ =\ gf$

a)

i ) x = -1, x = 4

ii) x = -1

b)

i) x = 2, x = 3

ii) x = 3

c)

i) x= 1, x= 2

ii) x = 4

d)

i) x = -2, x= 1

ii) x= -2

41.

Differentiate f(x) = sin(3x + 5)

a)

f'(x) = cos(3x+5)

b)

f'(x) = -cos(3x + 5)

c)

f'(x) = -3cos(3x + 5)

d)

f'(x) = 3cos(3x + 5)

42.

Given the function f(x) = x + 3.

State the object.

a)

y

b)

x

c)

f

d)

k

43.

Given g(x) = $\sqrt[]{x}$ - 3. Find the possible IMAGES when x = 9.

a)

-3 , 0

b)

-6, 0

c)

6, 0

d)

3, 0

44.

A ship sailed 122 km from port 𝐴 to port 𝐵 on a bearing of $072\degree$ T, then it sailed 91 km from port 𝐵 to port 𝐶 on a bearing of $142\degree$ T. Using a diagram showing the displacement vector $\overrightarrow{𝐴𝐶},$ what is the magnitude and direction of $\overrightarrow{AC}\ ?$

a)

$175.38$ km,

$101\degree11'$ T

b)

$178.76$ km,

$99\degree32'$ T

c)

$182.14$ km,

$95\degree24'$ T

d)

$187.92$ km,

$89\degree79'$ T

45.

Inverse function $g^{-1}$ is defined as $g^{-1\ }:\ x\ \rightarrow\ \frac{6}{y-1\ },\ x\ \ne1\$ Find

i) $g\ \left(x\right)$

ii) the value of x when $g\ \left(x\right)\ =\ 4$

a)

$\left(i\right)\ g\ \left(x\right)\ =\ \frac{x}{2-x}$ $\left(ii\right)\ x\ =2$

b)

$\left(i\right)\ g\ \left(x\right)\ =\ \frac{x-6}{x}$ $\left(ii\right)\ x\ =\ -2$

c)

$\left(i\right)\ g\ \left(x\right)\ =\ \frac{x+6}{2x}$ $\left(ii\right)\ x\ =\ -2$

d)

$\left(i\right)\ g\ \left(x\right)\ =\frac{x+6}{x}\ \$ $\left(ii\right)\ x\ =2$

46.

Without using scientific calculator, simplify the following surd expression:

$\sqrt[]{3}\ +\ 5\sqrt[]{2}\ -\ 4\sqrt[]{3}\ -\ 2\sqrt[]{2}$

a)

$-2\sqrt[]{8}\ +\ 3\sqrt[]{3}$

b)

$3\sqrt[]{9}\ \ +4\sqrt[]{2}$

c)

$3\sqrt[]{3}\ \ +\ 2\sqrt[]{3}$

d)

$-3\sqrt[]{3\ }\ +3\ \sqrt[]{2}$

47.

The roots of quadratic equation is also known as

a)

x-intercept

b)

y-intercept

48.

By using the horizontal line test, which of the following functions has an inverse.

a)

b)

c)

d)

49.

Q.

If the sum of first 6 terms of an A.P. is 36 and that of the first 16 terms is 256, then the sum of first 10 terms of the A.P. is :

a)

100

b)

95

c)

200

d)

220

50.

The two geometric means between the numbers 1 and 64 are

a)

1 and 64

b)

4 and 16

c)

2 and 16

d)

8 and 16

51.

The sum of some terms of a G.P is 315 whose first term and the common ratio are 5 and 2, respectively. The number of terms are

a)

3

b)

4

c)

5

d)

6

52.

$\int_2^4\ \frac{2}{x^2}\ dx$

a)

3

b)

½

c)

-3/2

d)

4/11

53.

If a, b, c are in G.P and x, y are A.M's between a, b and b, c respectively, then

a)

$\frac{1}{x}+\frac{1}{y}=2$

b)

$\frac{1}{x}+\frac{1}{y}=\frac{1}{2}$

c)

$\frac{1}{x}+\frac{1}{y}=\frac{2}{a}$

d)

$\frac{1}{x}+\frac{1}{y}=\frac{2}{b}$

54.

If p, q be two A.M's and G be one G.M between two numbers, then $G^2$ =

a)

$\left(2p-q\right)\left(p-2q\right)$

b)

$\left(2p-q\right)\left(2q-p\right)$

c)

$\left(2p-q\right)\left(p+2q\right)$

d)

none of these

55.

The diagram shows a grid of equally spaced lines. The vector $\overrightarrow{OA}=$ a and the vector $\overrightarrow{OH}=$ h . The point $Q$ is halfway between $F$ and $H.$

Which expression represents the vector $\overrightarrow{EQ}\ ?$

a)

b)

c)

d)

56.

Determine the range of the function.

a)

4, 10, 12

b)

4, 12

c)

{4, 10, 12}

d)

{4, 12}

57.

a)

24.91° ; 33.46 cm²

b)

39.60° ; 33.46 cm²

c)

24.91° ; 22.11 cm²

58.

a)

$k=3$

b)

$k=17$

c)

$k=5$

d)

$k=10$

59.

If y = $ax^n$ , then $\int_{ }^{ }y\ dx\ =$

a)

$\frac{ax^{n+1}}{n+1}$

b)

$\frac{ax^{n-1}}{n-1}+\ c$

c)

$\frac{ax^{n+1}}{n}+\ c$

d)

$\frac{ax^{n+1}}{n+1}+\ c$

60.

Integrate $\int_{ }^{ }\left(x^2+7\right)dx$

a)

$=2x+c$

b)

$=x^3+7x$

c)

$=\frac{1}{2}x^3+7x$

d)

$=\frac{1}{3}x^3+7x+c$

61.

Given the function $g\ :\ x\ \rightarrow\ \left|5-3x\right|,$ find the objects with image 10.

a)

$1\ \frac{2}{3}\ and\ 3$

b)

$1\ \frac{2}{5}\ and\ -3$

c)

$-1\ \frac{2}{3}\ and\ 5$

d)

$-1\ \frac{2}{5}\ and\ 3$

62.

Given $f:\ x\rightarrow3x-5\ and\ g\ :\ x\ \rightarrow\ x^2+4$

, find the value of $fg\left(3\right)\ and\ gf\left(3\right)$

a)

$fg\left(3\right)=43\ and\ gf\left(3\right)=\ 2$

b)

$fg\left(3\right)=34\ and\ gf\left(3\right)=20$

c)

$fg\left(3\right)=3\ and\ gf\left(3\right)=2$

d)

$fg\left(3\right)=34\ and\ gf\left(3\right)=-20$

63.

Given $\alpha\ and\ \beta\$ are the roots of the quadratic equation $x^2-4x+3=0.$ Form the quadratic equation with roots $\alpha+\frac{1}{\beta}\ and\ \beta+\frac{1}{\alpha}.$

a)

$3x^2+x+1=0$

b)

$x^2+16x-16=0$

c)

$3x^2-16x-16=0$

d)

$3x^2-16x+16=0$

64.

The straight line $y=mx-5\$ does not intersect the curve $y^2-4y+x^2=21.$ Find the range of values of m.

a)

$m>-\frac{\sqrt{24}}{5}\ and\ m>\frac{\sqrt{24}}{5}$

b)

$m<\frac{\sqrt{24}}{5}\ and\ m<-\frac{\sqrt{24}}{5}$

c)

$-\frac{\sqrt{24}}{5}<m<\frac{\sqrt{24}}{5}$

d)

$\frac{\sqrt{24}}{5}<m<-\frac{\sqrt{24}}{5}$

65.

Solve the simultaneous equations $x+4y=18$ and $x^2+y^2+6x-2y-7=0.$

a)

$x=-2\ and\ y=5$

b)

$x=-2\ and\ y=-5$

c)

$x=2\ and\ y\ =5$

d)

$x=2\ and\ y=-5$

e)

$x=\frac{1}{2}\ and\ y\ =\frac{1}{5}$

66.

Given $2^{5x-1}+16=2^{5x}$ , find the value of x that satisfies the equation.

a)

$-2$

b)

$-1$

c)

$0$

d)

$1$

e)

$2$

67.

$\frac{\sqrt{6}-\sqrt{2}}{\sqrt{8+2\sqrt{12}}}=A-\sqrt{B},\$ find the value of $2B-A.$

a)

$-\frac{324}{81}$

b)

$\frac{384}{96}$

c)

$\frac{896}{128}$

d)

$-\frac{448}{28}$

68.

Find the value of $\log_349\ \times\log_7\sqrt{81}.$

a)

2

b)

3

c)

4

d)

5

69.

A cinema has 20 seats in the first row, 22 seats in the second row and thereafter each of the rows increase by 2 seats for a total of 30 rows. Find the total number of seats from the 7th to the 16th row in the cinema.

a)

560

b)

640

c)

410

d)

380

70.

$12,\ 6,\ 3,\ ...,\ \frac{3}{32}.$

Find the sum of all the terms of the geometric progression

a)

23.90625

b)

23.96025

c)

23.25609

d)

23.60925

71.

Find the area of quadrilateral ABCD with vertices $A\left(3,\ 7\right),\ B\left(-4,\ 2\right),\ C\left(0,\ 0\right)and\ D\ \left(7,\ 3\right).$

a)

74

b)

37

c)

77

d)

34

72.

The prices for a type of car tyre in the years 2017 and 2019 are RM220 and RM275 respectively. The price index for the car tyre in the year 2017 based on the year 2015 is 110. Calculate the price index for the car tyre in the year 2019 based on the year 2015.

a)

135.7

b)

137.5

c)

153.7

d)

157.3

73.

A circle with centre O. It is given that $\angle POQ=0.8728\ radian$ and the length of the major arc PQ = 38.45 cm.

Given that $\pi=3.142,$ calculate the length, in cm, of the radius.

a)

7.1056

b)

7.1605

c)

7.5106

d)

7.1605

74.

A block of ice in the shape of a cube with sides x cm, is melting at a rate of $7.29\ cm^3\ \min^{-1}.$ Find the rate of change of x at the instant when x = 9 cm.

a)

$-0.03\ cm\ \min^{-1}$

b)

$0.03\ cm\ \min^{-1}$

c)

$-0.01\ cm\ \min^{-1}$

d)

$0.01\ cm\ \min^{-1}$

75.

It is given that 25% of the residents of Taman Anggerik are senior citizens. If 8 residents are chosen at random, calculate the probability that at least two of them are senior citizens.

a)

0.2670

b)

0.1001

c)

0.3671

d)

0.6329

76.

Factorise x²+ax+2x+2a

a)

(x+2a)(x+1)

b)

(x+2a)(x-1)

c)

(x²-1)(x-a)

d)

(x+2)(x+a)

77.

Solve the equation

2a²-3a-27=0

a)

3/2, 9

b)

-3/2, 9

c)

3, 9/2

d)

-3, 9/2

78.

Solve for x: x²+2x-15 ≤ 0

a)

-5≤x≤-3

b)

-5≤x≤3

c)

-3≤x≤5

d)

5≤x≤-3

79.

Solve the inequality x²-2x≥3

a)

-1≤x≤3

b)

x≥3 or x≤-1

c)

x≥3 or x<-1

d)

-1≤x<3

80.

Differentiate 3×² + 2x + 3 with respect to x

a)

6x²+1

b)

3x+4

c)

6x + 2

d)

3x²+2

81.

Find the 8th term of an A.P 3, 6, 9, …

a)

24

b)

34

c)

10

d)

25

82.

Find the 4th term of an A.P whose first term is 2 and the common difference is 0.5

a)

0.5

b)

2.5

c)

3.5

d)

4.5

83.

If the 11th term of an A.P is 42 and its first term is 2, find the common difference.

a)

3

b)

4

c)

7

d)

8

84.

Expand (4t – 5)(t – 3)

a)

4t²+2t-15

b)

4t+5

c)

4t²-t-15

d)

4t²-8t+15

85.

Find the median of the set of numbers: 1,2,3,4,5,6,7,8,9 and 10

a)

55

b)

10

c)

1

d)

5.5

86.

Find the mode from these test results: 90, 80, 77, 86, 90, 91, 77, 66, 69, 65, 43, 65, 75, 43, 90.

a)

43

b)

77

c)

65

d)

90

87.

Find the mean of these set of numbers: 100, 1050, 320, 600 and 150.

a)

200

b)

444

c)

300

d)

150

88.

Express Cos 150° in surd form

a)

√3

b)

-√3/2

c)

√2/3

d)

√2

89.

0 Given that a= 5i + 4j and b= 3i + 7j. Evaluate (3a - 8b)

a)

9i + 44j

b)

-9i + 44j

c)

-9i - 44j

d)

9i - 44j

90.

The following are scalar quantities EXCEPT

a)

displacement

b)

distance

c)

mass

d)

speed

91.

If P = n²+1: n= 0,2,3 and Q = n+1: n= 2,3,5, find PnQ

a)

{5,10}

b)

{4,6}

c)

{1,3}

d)

{ }

92.

The velocity, V of a particle after t sec is V= 3t²+2t -1. Find the acceleration of the particle after 2 sec.

a)

14m/s²

b)

10m/s²

c)

12m/s²

d)

17m/s²

93.

Given that f(x) = (x+1)/2, find f`(-2)

a)

-5

b)

-3

c)

-½

d)

5

94.

A mass of 75kg is placed on a lift .Find the force exerted by the floor of the lift on the mass when the lift is moving up with constant velocity. ( g= 9.8 m/s²)

a)

750N

b)

735N

c)

740N

d)

700N

95.

If f(x)= 3x³+8x²+6x+k and f(2) =1, find the value of k.

a)

-67

b)

-61

c)

61

d)

67

QUIZ ADD MATHS FORM 5

Total questions: 95

Worksheet time: 2hrs 58mins

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