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MATH KSSM F2

Total questions: 83

Worksheet time: 3hrs 43mins

Name
Class
Date
1.

Which of the following is the arrangement of Fibonacci Numbers?

a)

5, 10, 15, 20, 25, 30, …

b)

4, 6, 10, 16, 26, 42, ….

c)

110, 90, 70, 50, 30, …

d)

1, 8, 27, 64, 125, …

2.

Expand (2p+3)2

a)

4p2+12p+9

b)

4p2+6p+9

c)

4p2+6p+6

d)

4p2+12p+6

3.

Factorise completely the following expressions.

9a2 - 15a

a)

3a(3a-5)

b)

a(9a-15)

c)

3(3a-5)

d)

3a2(3-5a)

4.

Determine the midpoint of two points, P(-1,7) and Q(-1,1).

a)

(4,-1)

b)

(-1,4)

c)

(-1,3)

d)

(3,-1)

5.

Simplify: (3mp2)(4nq2)12mnq\frac{\left(3mp^2\right)\left(4nq^2\right)}{12mnq}  

a)

mp2q2mp^2q^2  

b)

np2qnp^2q  

c)

mp2q3mp^2q^3  

d)

p2qp^2q^{ }  

6.

State the pattern for the following sequences.


-1, -4, -7, -10, …

a)

Add 3 to the previous number

b)

Subtract 3 from the previous number

c)

Subtract -3 from the previous number

d)

Multiply to the previous number by 3

7.

Nyatakan mod bagi set data berikut.

State the mode for this set of data.


M, N, L, M, L, P, L, L, P

a)

L

b)

M

c)

N

d)

P

8.

Find the median.


12, 15, 13, 18, 23, 5

a)

14

b)

16

c)

16.5

d)

18

9.

(a+b)2=a2+b2\left(a+b\right)^2=a^2+b^2  

a)

BENAR / TRUE

b)

PALSU / FALSE

10.

Factorise the following expression.


( a2 – b2 )

a)

( a + b ) ( a – b )

b)

( a + b ) ( a + b )

c)

( a - b ) ( a - b )

d)

2 ( a - b )

11.

Calculate the distance of AB.

a)

1341.64 cm

b)

1800 cm

c)

1039.23 cm

d)

134.164 cm

12.

If volume of a sphere is equal to

43πr3\frac{4}{3}\pi r^3  find the formula for the volume of a hemisphere :-

a)

46πr2\frac{4}{6}\pi r^2  

b)

23πr3\frac{2}{3}\pi r^3  

c)

23πr3\frac{2}{3\pi r^3}  

d)

46πr3\frac{4}{6}\pi r^3  

13.

On the graph , find the midpoint of line AD

a)

(4,2)

b)

(6,5)

c)

(4,8)

d)

(2,5)

14.

This formula is used to find...

a)

Distance

b)

Instersection between points

c)

Midpoint

d)

Phytogaros theorem

15.

This formula is used to find...

a)

Midpoint

b)

Phytagoras Theorem

c)

Intersection between points

d)

Distance

16.

Which is the answer is true ?

a)

A

b)

B

c)

C

d)

D

17.

Which of the following number is not a perfect square ?

a)

A

b)

B

c)

C

d)

D

18.

Give that (p+2)/3 = 5, Find The value of p

a)

15

b)

13

c)

5

d)

17

19.
a)

-3

b)

5

c)

6

d)

3

20.

a)

3.5

b)

4

c)

6.3

d)

3

21.

1,4, 7, 10, ...1,4,\ 7,\ 10,\ ...  

Which of the following number sequances has the same pattern as the number sequance above?

a)

10, 7, 4, 1, ...

b)

1, -2, 4, -8, ...

c)

12, 15, 18, 21, ...

d)

-8, -5, -2, 1, ...

22.

2, 4, 8, 16, ...2,\ -4,\ 8,\ -16,\ ...  
  

Determine the pattern of the number sequences above.

a)

Subtract 3 from the previous number.

b)

Subtract (-2) from the previous number.

c)

Divide the previous number by 2.

d)

Multiply the previous number by (-2).

23.

Choose the numbers below to complete the Pascal's Triangle.

a)

1

b)

3

c)

4

d)

6

e)

8

24.

The diagram shows the first four shapes of a sequence which followed a certain pattern. Find the number of triangles of the 6th shape.

(a)  

25.

The pattern of a number sequences in algebraic expression is 3n53n-5 . Find  T10T_{10}  .



(a)  

26.

Expand (x1)(x+3)\left(x-1\right)\left(x+3\right) .

a)

x22x3x^2-2x-3  

b)

x2+2x3x^2+2x-3  

c)

x2+4x3x^2+4x-3  

d)

x2+4x+3x^2+4x+3  

27.

Factorise 6x2+x26x^2+x-2 .

a)

(2x+1)(3x2)\left(2x+1\right)\left(3x-2\right)  

b)

(2x1)(3x+2)\left(2x-1\right)\left(3x+2\right)  

c)

(6x1)(x+2)\left(6x-1\right)\left(x+2\right)  

d)

(6x+1)(x2)\left(6x+1\right)\left(x-2\right)  

28.

Choose all common factors of 3pq3pq  and  6qp26qp^2 .

a)

qq  

b)

q2q^2  

c)

pqpq  

d)

q2pq^2p  

e)

3pq3pq  

29.

Simplify 4x2xy÷42x2y\frac{4-x^2}{xy}\div\frac{4-2x}{2y} .

a)

2+xy\frac{2+x}{y}  

b)

4x2y\frac{4-x}{2y}  

c)

2+xx\frac{2+x}{x}  

d)

2x2x\frac{2-x}{2x}  

30.

Simplify 38h+16\frac{3}{8h}+\frac{1}{6} .

a)

1+h24\frac{1+h}{24}  

b)

4h+112\frac{4h+1}{12}  

c)

414h\frac{4}{14h}  

d)

9+4h24h\frac{9+4h}{24h}  

31.

Given the formula k=4ljk=4l-j . Express l in terms of k and j.

a)

l=k+j4l=\frac{-k+j}{4}  

b)

l=k+j4l=\frac{k+j}{4}  

c)

k4+j\frac{k}{4}+j  

d)

k4j\frac{k}{4}-j  

32.

Given the formula m2=5npm^2=5-np . Express n as the subject of the formula. 

a)

n=5+mpn=\frac{5+m}{p}  

b)

n=5pmn=\frac{5}{p}-m  

c)

n=5p+m2n=\frac{5}{p}+m^2  

d)

n=5m2pn=\frac{5-m^2}{p}  

33.

Given that 4u2w=25v2\frac{4u^2}{w}=25v^2 . Which of the following expresses v as the subject of the formula correctly? 

a)

v=2u5wv=\frac{2u}{5w}  

b)

v=2u5wv=\frac{2u}{5\sqrt{w}}  

c)

v=2u5wv=\frac{2\sqrt{u}}{5\sqrt{w}}  

d)

v=2u5wv=\sqrt{\frac{2u}{5w}}  

34.

Given the formula p=25kp=2-5k . Find  the value of k if p = 20.

(a)  

35.

Given the formula ab2=3\frac{\sqrt{a}-b}{2}=3 . Find the value of a if b = -1.

(a)  

36.

Tick (/) for all correct statements based on the regular polygon shown above.

a)

The name of the polygon is regular octagon.

b)

The total interior angle of the polygon is 1260o.

c)

The value of x is 130o.

d)

The exterior angle of the polygon is 40o.

e)

The regular polygon has 9 axis of symmetry.

37.

The diagram shows a part of a regular polygon. Find the number of the polygon.

(a)  

38.

The diagram shows PQRST is a regular pentagon. STU is a straight line. Find the value of xo.

(a)  

39.

The diagram shows TUV and WST are straight lines. Angle RST is equal to angle STU. Find the value of yo.

(a)  

40.

The diagram shows that GABH, IDEJ and KFA are straight lines. Find the value of p+q+r+s+tp+q+r+s+t .



(a)  

41.

The diagram shows that NTQ, OSQ and PRQ are three semicircles touching at Q. Given that NQ = 28 cm, O is the midpoint of NQ and P is the midpoint of OQ. Calculate the length, in cm, of arc PRQ.

(a)  

42.

The diagram shows a circle. WV and XV are the perpendicular bisectors of straight lines PWR and SXU. Choose the correct statements.

a)

V is the center of the circle.

b)

Angle PWV is 90o.

c)

VW and VX must have the same length.

d)

Triangle SVX is a right-angled triangle.

e)

Arc PQR and arc STU may or may not have the same length.

43.

The diagram shows a circle with center O and radius 10 cm. OSQ and PSR are straight lines. Find the length, in cm, of PR.

(a)  

44.

In the diagram, POQ is an isosceles triangle with OP = OQ. OSR is an arc of a circle with center Q. Calculate the area, in cm2,of sector OQR.

(a)  

45.

Choose the correct parts of circles to the correct terms.

a)

OR - radius

b)

RST - major segment

c)

PQRU - minor segment

d)

PUR - diameter

46.

Diberi bahawa salah satu punca bagi persamaan kuadratik

3x2+8x3=0 3x^2+8x-3=0\ ialah 13\frac{1}{3} .Cari satu punca yang lain.
Given that the one of the roots of the quadratic equation 3x^2+8x-3=0\ is \frac{1}{3} .Find the other root.

a)

3

b)

-3

c)

1

d)

-5

47.

Diberi/Given


7n2+3n2n+1=5\frac{7n^2+3n}{2n+1}=5  
Nyatakan  nilai a, b dan c dalam  an2+bn+can^2+bn+c  
State the values of a, b and c in 

a)

a=-7  b=-7  c=-5

b)

a=7  b=-7  c=5

c)

a=7  b=-7  c=-5

d)

a=-7  b=7  c=5

48.

Rajah menunjukkan graf bagi fungsi  f(x)=h+x+xnf\left(x\right)=h+x+x^n  .


Diagram shows the graph of function   .

Cari nilai h dan nilai n.
Find the value of h and n.

a)

h =-6 ,n = 2

b)

h =-6 ,n = -2

c)

h =-6 ,n = 3

d)

h =-3 ,n = 2

49.

Antara berikut ,yang  bukan persamaan kuadratik?
Which of the following is not a quadratic equation?

a)

x2+2x=0x^{-2}+2x=0  

b)

x21=0x^2-1=0  

c)

11x2+2x=411x^2+2x=4  

d)

x24+1=0\frac{x^2}{4}+1=0  

50.

(x1)2=52\left(x-1\right)^2=5^2  

Cari punca -punca persamaan tersebut.

Find the roots of the given equation

a)

-6 and 4

b)

-2 and 3

c)

-4 and 6

d)

-3 and 2

51.

Cari punca bagi persamaan kuadratik:
Find the roots of the quadratic equation:


(x+6)(x3)=x15\left(x+6\right)\left(x-3\right)=x-15

a)

-6 and 3

b)

-3 and 1

c)

-3 and 3

d)

-6 and 1

52.

Antara berikut, yang manakah mewakili fungsi kuadratik
Which of the following represents the quadratic function
f(x)=2x26f\left(x\right)=-2x^2-6

a)
b)
c)
d)
53.

Rajah menunjukkan sebuah graf 


y=2x2+bx+cy=2x^2+bx+c  dengan paksi simetri,  x=3x=3  .
Diagram shows a graph of y=2x2+bx+cy=2x^2+bx+c  with an axis of symmetry  x=3x=3  
Cari nilai b

Find the value of b

a)

-12

b)

-6

c)

0

d)

10

54.

6x25x+1=06x^2-5x+1=0  

Apakah hasil tambah punca bagi fungsi kuadratik di atas?


What is the sum of roots of the quadratic equation given above?

a)

56\frac{5}{6}  

b)

16\frac{1}{6}  

c)

5

d)

6

55.

f(x)=x2+6x=6f\left(x\right)=-x^2+6x=6  

Cari koordinat bagi titik maksimum fungsi kuadratik di atas.


Find the coordinate of the maximum point of the quadratic function given above.

a)

(3,6)\left(-3,6\right)  

b)

(6,1)\left(-6,1\right)  

c)

(6,6)\left(6,6\right)  

d)

(3,15)\left(3,15\right)  

56.

Rajah menunjukkan graf bagi fungsi kuadratik f
Diagram shows the graph of a quadratic function f

Antara berikut,yang manakah menunjukkan graf bagi fungsi kuadratik g di mana g(x)= - f(x).

Which of the following shows the graph of the quadratic function g where  g(x)= - f(x).

a)
b)
c)
d)
57.

(x2)2=8x\left(x-2\right)^2=8-x  

Seleisaikan persamaan kuadratik berikut.
Solve the following quadratic equation.

a)

x=4 and x=-1

b)

x=-4 and x=1

c)

x=4 and x=1

d)

x=-4 and x=-1

58.

" 1, 4, 7, x, y, … "


What are the values of x and y?

a)

x=5,y=9x=5,y=9

b)

x=5,y=12x=5,y=12

c)

x=9,y=11x=9,y=11

d)

x=10,y=13x=10,y=13

59.

The fifth term for the number sequences 3, 10, 17, … is

a)

15

b)

24

c)

31

d)

34

60.

Expand

p(3+q)p(3+q) .

a)

3p+q3p+q  

b)

3+pq3+pq  

c)

3p+pq3p+pq  

d)

3pq3pq  

61.

Simplify

p2q+prpq\frac{p^2q+pr}{pq} .

a)

q+rq\frac{q+r}{q}  

b)

p2q+rp\frac{p^2q+r}{p}  

c)

pq+rp\frac{pq+r}{p}  

d)

p+q+rp\frac{p+q+r}{p}  

62.

Diagram above shows a trapezium. State the formula to calculate the area of the trapezium.

a)

12×(p+r)×9\frac{1}{2}\times(p+r)\times9

b)

9×p×r9\times p\times r

c)

2×(p+r)×92\times(p+r)\times9

d)

12×p×r×9\frac{1}{2}\times p\times r\times9

63.

Given

x2=2xy1x^2=2xy-1

Express y as the subject of the formula.

a)

y=x212xy=\frac{x^2-1}{2x}  

b)

y=x2+12xy=\frac{x^2+1}{2x}  

c)

y=x22x+1y=x^2-2x+1  

d)

y=x22xy=x^2-2x  

64.

Which of the following is a regular polygon?

a)
b)
c)
d)
65.

In diagram above, ABDEF is a regular polygon. Find the value of t.

a)

40°40\degree

b)

55°55\degree

c)

60°60\degree

d)

72°72\degree

66.

Diagram above shows a circle with center O and D is the midpoint of AC. It is given that the radius of the circle of the circle is 10 cm and AC = 12 cm. Calculate the length, in cm, of BD.

a)

1

b)

2

c)

3

d)

4

67.

Given the circumference of a circle is 117 mm.

Find the diameter, in mm, of the circle.

(Use π=227\pi=\frac{22}{7} )

a)

367.7

b)

74.43

c)

37.23

d)

6.13

68.

Name the solid based on the net shown in diagram above.

a)

Pyramid

b)

Prism

c)

Cylinder

d)

Cone

69.

Diagram above shows a sphere.

Calculate the volume, in cm3cm^3 , of the sphere.

(Use π=227\pi=\frac{22}{7}  )

a)

683

b)

2144.94

c)

39424.24

d)

78848

70.

Calculate the distance between point A (-6, 4) and point B (2,4).

a)

7 units

b)

8 units

c)

9 units

d)

10 units

71.
Given the horizontal distance and vertical distance of two points, A (9,1) and B (x, y) are 12 units and 4 units respectively. Which of the following are the possible values of x and y?
a)
x=-3, y=-3
b)
x=-3, y=1
c)
x=-3, y=3
d)
x=1, y=-3
72.

Diagram above shows the relation between set P and set Q. Determine the type of the relation.

a)

One-to-one relation

b)

One-to-many relation

c)

Many-to-one relation

d)

Many-to-many relation

73.
Which of the following sets of ordered pairs is a function?
a)
P = {(4,2), (4,4), (6, 2), (6, 3)}
b)
Q = {(8, 4), (12, 4), (16, 4), (20, 4)}
c)
R = {(6, 2), (6, 3), (10, 2), (14, 2)}
d)
S = {(10, 5), (16, 4), (20, 4), (20, 5)}
74.
A car travels at a speed of 60 km/h in 4.3 hours. Calculate the distance, in km, travelled by the car.
a)
14
b)
20
c)
240
d)
258
75.
Which of the following movements has a uniform speed?
a)
A bus travels 120 km in the first 1.3 hours and 280 km in the next 3 hours.
b)
A car travels 250 km in the first 3 hours and 290 km in the next 3 hours.
c)
A van travels 200 km in the first 2.5 hours and 120 km in the next 1.5 hours.
d)
A motorcycle travels 170 km in the first 2 hours and 200 km in the next 2.3 hours.
76.

Diagram above a straight line AB. Determine the horizontal distance between point A and point B.

a)

2 units

b)

3 units

c)

4 units

d)

5 units

77.

Diagram above shows a straight PQ. Find the gradient of the straight line.

a)

53\frac{5}{3}

b)

43\frac{4}{3}

c)

11

d)

35\frac{3}{5}

78.

Which of the following object pairs are congruent?

a)
b)
c)
d)
79.

Which shape is the image of P under a rotation of 90' clockwise ot point Q?

a)

A

b)

B

c)

C

d)

D

80.

The diagram above shows a set of data.

Calculate the mean.

a)

28.29

b)

32.12

c)

32.59

d)

40.42

81.
The table above shows the mass of a group of students. If the mode of the data is 55, determine the minimun value of m.<br />
a)
1
b)
2
c)
3
d)
4
82.

A fair dice is thrown once. Calculate the probability of getting an even number.

a)

12\frac{1}{2}

b)

13\frac{1}{3}

c)

14\frac{1}{4}

d)

16\frac{1}{6}

83.

An odd date is chosen at random from the dates in February 2020. State the number of elements in the sample space.

a)

14

b)

15

c)

28

d)

29