Class 9 Mathematics: CBSE Sample Question Paper With Solutions (2026)

 Page 1


4. 
a) o b) o
c) o d) o
In a trapezium ABCD, E and F be the midpoints of the diagonals AC and BD respectively. Then, EF = ? 
Time Allowed: 3 hours
General Instructions:
Maximum Marks: 80
1. This Question Paper has 5 Sections A-E.
2. Section A has 20 MCQs carrying 1 mark each.
3. Section B has 5 questions carrying 02 marks each.
4. Section C has 6 questions carrying 03 marks each.
5. Section D has 4 questions carrying 05 marks each.
6. Section E has 3 case based integrated units of assessment carrying 04 marks each.
7. All Questions are compulsory. However, an internal choice in 2 Qs of 5 marks, 2 Qs of 3 marks and 2 Questions of
2 marks has been provided. An internal choice has been provided in the 2 marks questions of Section E.
8. Draw neat figures wherever required. Take p =22/7 wherever required if not stated.
Section A
1. The point which lies on x-axis at a distance of 3 units in the positive direction of x-axis is [1]
a)(0, -3)
c)(3, 0)
b)(0, 3)
d)(-3, 0)
2. The length of the sides of a triangle are 5 cm, 7 cm and 8 cm. Area of the triangle is : [1]
a ) 1 0 0 v 3 cm2
b)10v3 cm2
d)50v3 cm2
c) 300 cm2
3. 
In the figure, O is the centre of the circle. If ? ABC=20o , then ? AOC is equal to : 
[1]
[1]
6 0
4 0
1 0
2 0
Page 1 of 17
C l a s s 	 I X 	 S e s s i o n 	
S u b j e c t 	 - 	 M a t h e m a t i c s
S a m p l e 	 Q u e s t i o n 	 P a p e r 	 - 	 1
Page 2


4. 
a) o b) o
c) o d) o
In a trapezium ABCD, E and F be the midpoints of the diagonals AC and BD respectively. Then, EF = ? 
Time Allowed: 3 hours
General Instructions:
Maximum Marks: 80
1. This Question Paper has 5 Sections A-E.
2. Section A has 20 MCQs carrying 1 mark each.
3. Section B has 5 questions carrying 02 marks each.
4. Section C has 6 questions carrying 03 marks each.
5. Section D has 4 questions carrying 05 marks each.
6. Section E has 3 case based integrated units of assessment carrying 04 marks each.
7. All Questions are compulsory. However, an internal choice in 2 Qs of 5 marks, 2 Qs of 3 marks and 2 Questions of
2 marks has been provided. An internal choice has been provided in the 2 marks questions of Section E.
8. Draw neat figures wherever required. Take p =22/7 wherever required if not stated.
Section A
1. The point which lies on x-axis at a distance of 3 units in the positive direction of x-axis is [1]
a)(0, -3)
c)(3, 0)
b)(0, 3)
d)(-3, 0)
2. The length of the sides of a triangle are 5 cm, 7 cm and 8 cm. Area of the triangle is : [1]
a ) 1 0 0 v 3 cm2
b)10v3 cm2
d)50v3 cm2
c) 300 cm2
3. 
In the figure, O is the centre of the circle. If ? ABC=20o , then ? AOC is equal to : 
[1]
[1]
6 0
4 0
1 0
2 0
Page 1 of 17
C l a s s 	 I X 	 S e s s i o n 	
S u b j e c t 	 - 	 M a t h e m a t i c s
S a m p l e 	 Q u e s t i o n 	 P a p e r 	 - 	 1
5. 
6. 
7. 
8. 
9. 
10. 
12. 
11. 
a) 1 b ) 1 (
2 2
d) 1
2
c ) 1 ( 
- C D) 
2
The value of xp-q xq-r xr-p is equal to
a) xpqr b) 0
c) x d) 1
D, E and F are the mid points of sides AB, BC and CA of ?
perimetre of ? D E F. 
. If perimetre of  is 16 cm, then
a)32 cm
c)28 cm
b)8 cm
d)4 cm
x = 2, y = -1 is a solution of the linear equation
a)2x + y = 0
c)x + 2y = 4
b)x + 2y = 0
d)2x + y = 5
If x - 3 is a factor of x2 - ax -15, then a =
a) 5
c) -5 
b) -2
d) 3
The value of 15v15÷3v5 is
a ) 5 v 3 
c) 3 
b ) 3 v 5
d) 5
ABCD is a parallelogram. If is produced to E such that ED bisects BC at O. Then which of the following is
correct?
a)OC = BE
c)AB = OE
b)OE = OC
d)AB = BE
An irrational number between 1 a n d 2 is
7 7
- - - - -
a ) v 1 × 2 b ) 1 ( 1 - 2 )
7 7 2 7 7
c ) ( 1 × 2 ) d ) 1 ( 1 + 2 )
7 7 2 7 7
How many linear equations in ‘x’ and ‘y’ can be satisfied by x = 1, y = 2?
a)Infinitely many b)Two
[1]
[1]
[1]
[1]
[1]
[1]
[1]
[1]
A B
A B
A B+
C D
A B C
C D)
? A B C
Page 2 of 17
Page 3


4. 
a) o b) o
c) o d) o
In a trapezium ABCD, E and F be the midpoints of the diagonals AC and BD respectively. Then, EF = ? 
Time Allowed: 3 hours
General Instructions:
Maximum Marks: 80
1. This Question Paper has 5 Sections A-E.
2. Section A has 20 MCQs carrying 1 mark each.
3. Section B has 5 questions carrying 02 marks each.
4. Section C has 6 questions carrying 03 marks each.
5. Section D has 4 questions carrying 05 marks each.
6. Section E has 3 case based integrated units of assessment carrying 04 marks each.
7. All Questions are compulsory. However, an internal choice in 2 Qs of 5 marks, 2 Qs of 3 marks and 2 Questions of
2 marks has been provided. An internal choice has been provided in the 2 marks questions of Section E.
8. Draw neat figures wherever required. Take p =22/7 wherever required if not stated.
Section A
1. The point which lies on x-axis at a distance of 3 units in the positive direction of x-axis is [1]
a)(0, -3)
c)(3, 0)
b)(0, 3)
d)(-3, 0)
2. The length of the sides of a triangle are 5 cm, 7 cm and 8 cm. Area of the triangle is : [1]
a ) 1 0 0 v 3 cm2
b)10v3 cm2
d)50v3 cm2
c) 300 cm2
3. 
In the figure, O is the centre of the circle. If ? ABC=20o , then ? AOC is equal to : 
[1]
[1]
6 0
4 0
1 0
2 0
Page 1 of 17
C l a s s 	 I X 	 S e s s i o n 	
S u b j e c t 	 - 	 M a t h e m a t i c s
S a m p l e 	 Q u e s t i o n 	 P a p e r 	 - 	 1
5. 
6. 
7. 
8. 
9. 
10. 
12. 
11. 
a) 1 b ) 1 (
2 2
d) 1
2
c ) 1 ( 
- C D) 
2
The value of xp-q xq-r xr-p is equal to
a) xpqr b) 0
c) x d) 1
D, E and F are the mid points of sides AB, BC and CA of ?
perimetre of ? D E F. 
. If perimetre of  is 16 cm, then
a)32 cm
c)28 cm
b)8 cm
d)4 cm
x = 2, y = -1 is a solution of the linear equation
a)2x + y = 0
c)x + 2y = 4
b)x + 2y = 0
d)2x + y = 5
If x - 3 is a factor of x2 - ax -15, then a =
a) 5
c) -5 
b) -2
d) 3
The value of 15v15÷3v5 is
a ) 5 v 3 
c) 3 
b ) 3 v 5
d) 5
ABCD is a parallelogram. If is produced to E such that ED bisects BC at O. Then which of the following is
correct?
a)OC = BE
c)AB = OE
b)OE = OC
d)AB = BE
An irrational number between 1 a n d 2 is
7 7
- - - - -
a ) v 1 × 2 b ) 1 ( 1 - 2 )
7 7 2 7 7
c ) ( 1 × 2 ) d ) 1 ( 1 + 2 )
7 7 2 7 7
How many linear equations in ‘x’ and ‘y’ can be satisfied by x = 1, y = 2?
a)Infinitely many b)Two
[1]
[1]
[1]
[1]
[1]
[1]
[1]
[1]
A B
A B
A B+
C D
A B C
C D)
? A B C
Page 2 of 17
13. 
14. 
15. 
16. 
17. 
18. 
19. 
20. 
c)Only one
In a figure, if OP||RS, 
? OPQ = 110° and 
d) Three
? QRS = 130°, then ? PQR is equal to 
a) 40°
c) 70° 
b)
50°
d)
60°
After rationalising the denominator of 
7
3 v 3 - 2 v 2
, we get the denominator as
a) 5 
c) 19 
b) 35
d) 13
In the given figure, O is the centre of a circle and chords AC and BD intersect at E. If 
= 30°, then ? ADB = ? 
a) 80°
c) 90° 
b)
60°
d)
70°
x co-ordinate is known as
a) Origin 
c) Abscissa 
b) Points
d) Ordinate
If (-2, 5) is a solution of 2x + my = 11, then the value of ‘m’ is
a) -2 
c) 3 
b) 2
d) -3
( 2
2 3 )
( 2
b b
c 2 3 )
( c 2 a 2 3
- +
3 
- + - )
The value of 
( 
3 
3 
is
a - b ) + ( b - c ) + ( c - a )
a)3(a - b)(b - c)(c - a)
c)3(a + b)(b + c)(c + a)(a - b)(b - c)(c - a)
b)(a + b)(b + c)(c + a)
d)2(a - b)(b - c)(c - a)
Assertion (A): If the diagonals of a parallelogram ABCD are equal, then ? ABC = 90o 
Reason (R): If the diagonals of a parallelogram are equal, it becomes a rectangle.
a)Both A and R are true and R is the correct b)Both A and R are true but R is not the
explanation of A. correct explanation of A.
c)A is true but R is false. d)A is false but R is true.
Assertion (A): 
–
2+v6 is an irrational number. 
Reason (R): Sum of a rational number and an irrational number is always an irrational number.
a)Both A and R are true and R is the correct b)Both A and R are true but R is not the
explanation of A. correct explanation of A.
? AEB = 110° and ? CBE
[1]
[1]
[1]
[1]
[1]
[1]
[1]
[1]
Page 3 of 17
Page 4


4. 
a) o b) o
c) o d) o
In a trapezium ABCD, E and F be the midpoints of the diagonals AC and BD respectively. Then, EF = ? 
Time Allowed: 3 hours
General Instructions:
Maximum Marks: 80
1. This Question Paper has 5 Sections A-E.
2. Section A has 20 MCQs carrying 1 mark each.
3. Section B has 5 questions carrying 02 marks each.
4. Section C has 6 questions carrying 03 marks each.
5. Section D has 4 questions carrying 05 marks each.
6. Section E has 3 case based integrated units of assessment carrying 04 marks each.
7. All Questions are compulsory. However, an internal choice in 2 Qs of 5 marks, 2 Qs of 3 marks and 2 Questions of
2 marks has been provided. An internal choice has been provided in the 2 marks questions of Section E.
8. Draw neat figures wherever required. Take p =22/7 wherever required if not stated.
Section A
1. The point which lies on x-axis at a distance of 3 units in the positive direction of x-axis is [1]
a)(0, -3)
c)(3, 0)
b)(0, 3)
d)(-3, 0)
2. The length of the sides of a triangle are 5 cm, 7 cm and 8 cm. Area of the triangle is : [1]
a ) 1 0 0 v 3 cm2
b)10v3 cm2
d)50v3 cm2
c) 300 cm2
3. 
In the figure, O is the centre of the circle. If ? ABC=20o , then ? AOC is equal to : 
[1]
[1]
6 0
4 0
1 0
2 0
Page 1 of 17
C l a s s 	 I X 	 S e s s i o n 	
S u b j e c t 	 - 	 M a t h e m a t i c s
S a m p l e 	 Q u e s t i o n 	 P a p e r 	 - 	 1
5. 
6. 
7. 
8. 
9. 
10. 
12. 
11. 
a) 1 b ) 1 (
2 2
d) 1
2
c ) 1 ( 
- C D) 
2
The value of xp-q xq-r xr-p is equal to
a) xpqr b) 0
c) x d) 1
D, E and F are the mid points of sides AB, BC and CA of ?
perimetre of ? D E F. 
. If perimetre of  is 16 cm, then
a)32 cm
c)28 cm
b)8 cm
d)4 cm
x = 2, y = -1 is a solution of the linear equation
a)2x + y = 0
c)x + 2y = 4
b)x + 2y = 0
d)2x + y = 5
If x - 3 is a factor of x2 - ax -15, then a =
a) 5
c) -5 
b) -2
d) 3
The value of 15v15÷3v5 is
a ) 5 v 3 
c) 3 
b ) 3 v 5
d) 5
ABCD is a parallelogram. If is produced to E such that ED bisects BC at O. Then which of the following is
correct?
a)OC = BE
c)AB = OE
b)OE = OC
d)AB = BE
An irrational number between 1 a n d 2 is
7 7
- - - - -
a ) v 1 × 2 b ) 1 ( 1 - 2 )
7 7 2 7 7
c ) ( 1 × 2 ) d ) 1 ( 1 + 2 )
7 7 2 7 7
How many linear equations in ‘x’ and ‘y’ can be satisfied by x = 1, y = 2?
a)Infinitely many b)Two
[1]
[1]
[1]
[1]
[1]
[1]
[1]
[1]
A B
A B
A B+
C D
A B C
C D)
? A B C
Page 2 of 17
13. 
14. 
15. 
16. 
17. 
18. 
19. 
20. 
c)Only one
In a figure, if OP||RS, 
? OPQ = 110° and 
d) Three
? QRS = 130°, then ? PQR is equal to 
a) 40°
c) 70° 
b)
50°
d)
60°
After rationalising the denominator of 
7
3 v 3 - 2 v 2
, we get the denominator as
a) 5 
c) 19 
b) 35
d) 13
In the given figure, O is the centre of a circle and chords AC and BD intersect at E. If 
= 30°, then ? ADB = ? 
a) 80°
c) 90° 
b)
60°
d)
70°
x co-ordinate is known as
a) Origin 
c) Abscissa 
b) Points
d) Ordinate
If (-2, 5) is a solution of 2x + my = 11, then the value of ‘m’ is
a) -2 
c) 3 
b) 2
d) -3
( 2
2 3 )
( 2
b b
c 2 3 )
( c 2 a 2 3
- +
3 
- + - )
The value of 
( 
3 
3 
is
a - b ) + ( b - c ) + ( c - a )
a)3(a - b)(b - c)(c - a)
c)3(a + b)(b + c)(c + a)(a - b)(b - c)(c - a)
b)(a + b)(b + c)(c + a)
d)2(a - b)(b - c)(c - a)
Assertion (A): If the diagonals of a parallelogram ABCD are equal, then ? ABC = 90o 
Reason (R): If the diagonals of a parallelogram are equal, it becomes a rectangle.
a)Both A and R are true and R is the correct b)Both A and R are true but R is not the
explanation of A. correct explanation of A.
c)A is true but R is false. d)A is false but R is true.
Assertion (A): 
–
2+v6 is an irrational number. 
Reason (R): Sum of a rational number and an irrational number is always an irrational number.
a)Both A and R are true and R is the correct b)Both A and R are true but R is not the
explanation of A. correct explanation of A.
? AEB = 110° and ? CBE
[1]
[1]
[1]
[1]
[1]
[1]
[1]
[1]
Page 3 of 17
21. 
22. 
23. 
24. 
25. 
26.
27. 
28. 
In fig., if AC = BD, then prove that AB = CD 
c)A is true but R is false. d)A is false but R is true.
Section B
In fig. AC = XD, C is the mid-point of AB and D is the mid-point of XY. Using a Euclid's axiom, show that AB
= XY. 
[2]
[2]
Name the quadrants in which the following points lie :
(i) p(4, 4)
(ii) Q(–4, 4)
(iii) R(–4, –4)
(iv) S(4, –4)
If x = 3 + 2v2, find the value of (2
[2]
1
x 2
x +
) .
[2]
OR
Prove that: 
1
3 + v 7 
+
1
v 7 + v 5 
+
1
v 5 + v 3 
+
1
v 3 + 1
= 1 .
The radii of two cones are in the ratio 2 : 1 and their volumes are equal. What is the ratio of their heights? [2]
OR
A hollow spherical shell is made of a metal of density 4.5 g per cm3. If its internal and external radii are 8 cm and 9
cm respectively, find the weight of the shell.
Section C
Locate v10 on the number line.
A random survey of the number of children of various age groups playing in a park was found as follows :
[3]
[3]
Age (in years) Number of children
1-2
2-3
3-5
5-7 
7-10 
10-15 
15-17 
5
3
6
12
9
10
4
Draw a histogram to represent the data above.
In Fig. X and Y are respectively the mid-points of the opposite sides AD and BC of a parallelogram ABCD.
Also, BX and DY intersect AC at P and Q, respectively. Show that AP = PQ = QC.
[3]
Page 4 of 17
Page 5


4. 
a) o b) o
c) o d) o
In a trapezium ABCD, E and F be the midpoints of the diagonals AC and BD respectively. Then, EF = ? 
Time Allowed: 3 hours
General Instructions:
Maximum Marks: 80
1. This Question Paper has 5 Sections A-E.
2. Section A has 20 MCQs carrying 1 mark each.
3. Section B has 5 questions carrying 02 marks each.
4. Section C has 6 questions carrying 03 marks each.
5. Section D has 4 questions carrying 05 marks each.
6. Section E has 3 case based integrated units of assessment carrying 04 marks each.
7. All Questions are compulsory. However, an internal choice in 2 Qs of 5 marks, 2 Qs of 3 marks and 2 Questions of
2 marks has been provided. An internal choice has been provided in the 2 marks questions of Section E.
8. Draw neat figures wherever required. Take p =22/7 wherever required if not stated.
Section A
1. The point which lies on x-axis at a distance of 3 units in the positive direction of x-axis is [1]
a)(0, -3)
c)(3, 0)
b)(0, 3)
d)(-3, 0)
2. The length of the sides of a triangle are 5 cm, 7 cm and 8 cm. Area of the triangle is : [1]
a ) 1 0 0 v 3 cm2
b)10v3 cm2
d)50v3 cm2
c) 300 cm2
3. 
In the figure, O is the centre of the circle. If ? ABC=20o , then ? AOC is equal to : 
[1]
[1]
6 0
4 0
1 0
2 0
Page 1 of 17
C l a s s 	 I X 	 S e s s i o n 	
S u b j e c t 	 - 	 M a t h e m a t i c s
S a m p l e 	 Q u e s t i o n 	 P a p e r 	 - 	 1
5. 
6. 
7. 
8. 
9. 
10. 
12. 
11. 
a) 1 b ) 1 (
2 2
d) 1
2
c ) 1 ( 
- C D) 
2
The value of xp-q xq-r xr-p is equal to
a) xpqr b) 0
c) x d) 1
D, E and F are the mid points of sides AB, BC and CA of ?
perimetre of ? D E F. 
. If perimetre of  is 16 cm, then
a)32 cm
c)28 cm
b)8 cm
d)4 cm
x = 2, y = -1 is a solution of the linear equation
a)2x + y = 0
c)x + 2y = 4
b)x + 2y = 0
d)2x + y = 5
If x - 3 is a factor of x2 - ax -15, then a =
a) 5
c) -5 
b) -2
d) 3
The value of 15v15÷3v5 is
a ) 5 v 3 
c) 3 
b ) 3 v 5
d) 5
ABCD is a parallelogram. If is produced to E such that ED bisects BC at O. Then which of the following is
correct?
a)OC = BE
c)AB = OE
b)OE = OC
d)AB = BE
An irrational number between 1 a n d 2 is
7 7
- - - - -
a ) v 1 × 2 b ) 1 ( 1 - 2 )
7 7 2 7 7
c ) ( 1 × 2 ) d ) 1 ( 1 + 2 )
7 7 2 7 7
How many linear equations in ‘x’ and ‘y’ can be satisfied by x = 1, y = 2?
a)Infinitely many b)Two
[1]
[1]
[1]
[1]
[1]
[1]
[1]
[1]
A B
A B
A B+
C D
A B C
C D)
? A B C
Page 2 of 17
13. 
14. 
15. 
16. 
17. 
18. 
19. 
20. 
c)Only one
In a figure, if OP||RS, 
? OPQ = 110° and 
d) Three
? QRS = 130°, then ? PQR is equal to 
a) 40°
c) 70° 
b)
50°
d)
60°
After rationalising the denominator of 
7
3 v 3 - 2 v 2
, we get the denominator as
a) 5 
c) 19 
b) 35
d) 13
In the given figure, O is the centre of a circle and chords AC and BD intersect at E. If 
= 30°, then ? ADB = ? 
a) 80°
c) 90° 
b)
60°
d)
70°
x co-ordinate is known as
a) Origin 
c) Abscissa 
b) Points
d) Ordinate
If (-2, 5) is a solution of 2x + my = 11, then the value of ‘m’ is
a) -2 
c) 3 
b) 2
d) -3
( 2
2 3 )
( 2
b b
c 2 3 )
( c 2 a 2 3
- +
3 
- + - )
The value of 
( 
3 
3 
is
a - b ) + ( b - c ) + ( c - a )
a)3(a - b)(b - c)(c - a)
c)3(a + b)(b + c)(c + a)(a - b)(b - c)(c - a)
b)(a + b)(b + c)(c + a)
d)2(a - b)(b - c)(c - a)
Assertion (A): If the diagonals of a parallelogram ABCD are equal, then ? ABC = 90o 
Reason (R): If the diagonals of a parallelogram are equal, it becomes a rectangle.
a)Both A and R are true and R is the correct b)Both A and R are true but R is not the
explanation of A. correct explanation of A.
c)A is true but R is false. d)A is false but R is true.
Assertion (A): 
–
2+v6 is an irrational number. 
Reason (R): Sum of a rational number and an irrational number is always an irrational number.
a)Both A and R are true and R is the correct b)Both A and R are true but R is not the
explanation of A. correct explanation of A.
? AEB = 110° and ? CBE
[1]
[1]
[1]
[1]
[1]
[1]
[1]
[1]
Page 3 of 17
21. 
22. 
23. 
24. 
25. 
26.
27. 
28. 
In fig., if AC = BD, then prove that AB = CD 
c)A is true but R is false. d)A is false but R is true.
Section B
In fig. AC = XD, C is the mid-point of AB and D is the mid-point of XY. Using a Euclid's axiom, show that AB
= XY. 
[2]
[2]
Name the quadrants in which the following points lie :
(i) p(4, 4)
(ii) Q(–4, 4)
(iii) R(–4, –4)
(iv) S(4, –4)
If x = 3 + 2v2, find the value of (2
[2]
1
x 2
x +
) .
[2]
OR
Prove that: 
1
3 + v 7 
+
1
v 7 + v 5 
+
1
v 5 + v 3 
+
1
v 3 + 1
= 1 .
The radii of two cones are in the ratio 2 : 1 and their volumes are equal. What is the ratio of their heights? [2]
OR
A hollow spherical shell is made of a metal of density 4.5 g per cm3. If its internal and external radii are 8 cm and 9
cm respectively, find the weight of the shell.
Section C
Locate v10 on the number line.
A random survey of the number of children of various age groups playing in a park was found as follows :
[3]
[3]
Age (in years) Number of children
1-2
2-3
3-5
5-7 
7-10 
10-15 
15-17 
5
3
6
12
9
10
4
Draw a histogram to represent the data above.
In Fig. X and Y are respectively the mid-points of the opposite sides AD and BC of a parallelogram ABCD.
Also, BX and DY intersect AC at P and Q, respectively. Show that AP = PQ = QC.
[3]
Page 4 of 17
29. 
30. 
32. 
33. 
31. 
In the given figure, AB ? CD, 
the value of x. 
OR
In the given figure, AB || CD. Prove that p + q - r = 180. 
What length of tarpaulin 3 m wide will be required to make conical tent of height 8 m and base radius 6 m?
Find the solution of the linear equation x + 2y = 8 which represents a point on
i. The x-axis
ii. The y-axis
The marks scored by 750 students in an examination are given in the form of a frequency distribution table.
Marks: 
No. of 
Students:
600-640 640-680 680-720 720-760 760-800 800-840 840-880
16 45 156 284 172 59 18
Represent this data in the form of a histogram and construct a frequency polygon.
OR
Read the bar graph given in Figure and answer the following questions: 
i. What information is given by the bar graph?
ii. In which years the areas under the sugarcane crop were the maximum and the minimum?
iii. State whether true or false: 
The area under the sugarcane crop in the year 1982-83 is three times that of the year 1950-51.
If both ( x- 2) and ( x-1) are factors of p x2+5 x+ r , Show that p = r.
2
Section D
? A B O=40 °, ? C D O=35 °. Find the value of the reflex ? BOD and hence
[5]
[3]
[3]
[5]
[3]
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