Maths paper class X sa 2
KENDRIYA VIDYALAYA SANGATHAN. ERNAKULAM REGION
MODEL QUESTION PAPER
MATHEMATICS
CLASS X
MAX. MARKS-90
TIME:3 HOURS
GENERAL INSTRUCTIONS: 1) All questions are compulsory.
2) The questions paper consists of 30 questions divided into four sections A, B, C and D. Section A contains 8 questions of 1 mark each,
Section B contains 6 questions of 2 marks each, Section C contains 10 questions of 3 marks each and Section D contains 10 questions of 4 marks each.
3) There is no overall choice. However an internal choice has been provided in 1 question of 2 marks, three questions of 3 marks, and 2 questions of 4 marks each.
4) In questions on construction, the drawing should be neat and exactly as per given measurements.
5) Use of calculators is not allowed.
_______________________________________________________________________
SECTION A
1. The angle of elevation of the sun when the shadow of a pole ‘h’ meters high is
3 h m. long is…
A) 30°
B) 45°
C) 60°
D) 90°
2. The perimeter of a triangle with vertices (0,4), (0,0) and (3,0) is …
A) 5
B) 7
C) 11
D) 12
2
3. The roots of a quadratic equation 2 x -kx+k=0 are equal. The value of ‘k’ is …
A) 0 only
B) 4
C) 8 only
D) 0 and 8
4. Volumes of two spheres are in the ratio 64:27. The ratio of their surface areas is …
A) 3:4
B) 4:3
C) 9:16
D) 16:9
5. If the common difference of an A.P is 5 then the value of
A) 5
B) 75
C) 15
D) 27
a
21
-
a
6
is …
6. Twelve solid spheres of the same size are made by melting a solid metallic
Page 1
cylinder of base diameter 2cm. and height 16cm. The diameter of each sphere is …
A) 4cm.
B) 3cm.
C) 2cm.
D) 6cm.
7. If the points A (1,2) , O (0,0) and C (a ,b) are collinear, then
A) 2a=b
B) a=b
C) a=2b
D) a= -b
8. If two tangents drawn to a circle of radius 3cm. are inclined at an angle 60°, then the length of each tangent is equal to ..
3 3
A) 6cm.
B) 3 3 cm. C) 3cm.
D)
cm.
2
SECTION B
9. The sum of the first
MODEL QUESTION PAPER
MATHEMATICS
CLASS X
MAX. MARKS-90
TIME:3 HOURS
GENERAL INSTRUCTIONS: 1) All questions are compulsory.
2) The questions paper consists of 30 questions divided into four sections A, B, C and D. Section A contains 8 questions of 1 mark each,
Section B contains 6 questions of 2 marks each, Section C contains 10 questions of 3 marks each and Section D contains 10 questions of 4 marks each.
3) There is no overall choice. However an internal choice has been provided in 1 question of 2 marks, three questions of 3 marks, and 2 questions of 4 marks each.
4) In questions on construction, the drawing should be neat and exactly as per given measurements.
5) Use of calculators is not allowed.
_______________________________________________________________________
SECTION A
1. The angle of elevation of the sun when the shadow of a pole ‘h’ meters high is
3 h m. long is…
A) 30°
B) 45°
C) 60°
D) 90°
2. The perimeter of a triangle with vertices (0,4), (0,0) and (3,0) is …
A) 5
B) 7
C) 11
D) 12
2
3. The roots of a quadratic equation 2 x -kx+k=0 are equal. The value of ‘k’ is …
A) 0 only
B) 4
C) 8 only
D) 0 and 8
4. Volumes of two spheres are in the ratio 64:27. The ratio of their surface areas is …
A) 3:4
B) 4:3
C) 9:16
D) 16:9
5. If the common difference of an A.P is 5 then the value of
A) 5
B) 75
C) 15
D) 27
a
21
-
a
6
is …
6. Twelve solid spheres of the same size are made by melting a solid metallic
Page 1
cylinder of base diameter 2cm. and height 16cm. The diameter of each sphere is …
A) 4cm.
B) 3cm.
C) 2cm.
D) 6cm.
7. If the points A (1,2) , O (0,0) and C (a ,b) are collinear, then
A) 2a=b
B) a=b
C) a=2b
D) a= -b
8. If two tangents drawn to a circle of radius 3cm. are inclined at an angle 60°, then the length of each tangent is equal to ..
3 3
A) 6cm.
B) 3 3 cm. C) 3cm.
D)
cm.
2
SECTION B
9. The sum of the first