Maths Past Year Paper SA-1(Set -6) - 2016, Class 9, CBSE Class 9 Notes | EduRev

Past Year Papers For Class 9

Created by: Indu Gupta

Class 9 : Maths Past Year Paper SA-1(Set -6) - 2016, Class 9, CBSE Class 9 Notes | EduRev

 Page 1


J2MDB65 
?????? ???
? - I, 2016 – 17
SUMMATIVE ASSESSMENT – I, 2016 – 17 
????/MATHEMATICS
?
? - IX /CLASS: IX
?????? ??? : 3 ???? ?????? ??? : 90
Time: 3 Hrs.  M.M   :   90 
???? ???? :
1. ???  ?????? ?? |
2. ??  ?
 ? 31  ??, ?? ??? ????? ?, ?, ? ??? ? ? ????? ??? ?? | ?"-?
? 4  ?? ???? ?? ? ? 1 ??? ??; ?"-? ? 6  ?? ???? ?? ? ? 2 ??? ??;
?"-? ? 10  ?? ???? ?? ? ? 3 ??? ??; ??? ?"-? ? 11  ?? ???? ??
? ? 4 ??? ?? |
3. ??  ?
 ? ??? ?? ? ??? ?? |
4. ? ? ?? ? ???? ?? ??? ???$? ?? |
General Instructions: 
1. All questions are compulsory.
2. The question paper consists of 31 questions divided into four sections A, B, C and D. Section
A comprises of 4 question of 1 marks each, Section B comprises of 6 questions of 2 marks
each, Section C comprises of 10 questions of 3 marks each and Section D comprises of 11
questions of 4 marks each.
3. There is no overall choice in this question paper.
4. Use of calculator is not permitted.
?"-?/SECTION A
 ??%? 1 ?? 4 ? ?? ?? 1 ??? ?? |
Question numbers 1 to 4 carry one mark each. 
1. ( )
1/2
1
2
16
? ?
? ?
? ?
?? ??? &?? ????? |
Find the value of 
( )
1/2
1
2
16 .
? ?
? ?
? ?
 
2. ????) ??$ ????? ?? ??? ??? ? 
2
2
4
9
y
x - ?? ???????? ????? |
Using appropriate identify, factorise 
2
2
4 .
9
y
x - 
3. ?? ?????? ??? 2:7 ? ? ?????? ? ?? | ?? ????? ?? ??? &?? ????? |
Page 2


J2MDB65 
?????? ???
? - I, 2016 – 17
SUMMATIVE ASSESSMENT – I, 2016 – 17 
????/MATHEMATICS
?
? - IX /CLASS: IX
?????? ??? : 3 ???? ?????? ??? : 90
Time: 3 Hrs.  M.M   :   90 
???? ???? :
1. ???  ?????? ?? |
2. ??  ?
 ? 31  ??, ?? ??? ????? ?, ?, ? ??? ? ? ????? ??? ?? | ?"-?
? 4  ?? ???? ?? ? ? 1 ??? ??; ?"-? ? 6  ?? ???? ?? ? ? 2 ??? ??;
?"-? ? 10  ?? ???? ?? ? ? 3 ??? ??; ??? ?"-? ? 11  ?? ???? ??
? ? 4 ??? ?? |
3. ??  ?
 ? ??? ?? ? ??? ?? |
4. ? ? ?? ? ???? ?? ??? ???$? ?? |
General Instructions: 
1. All questions are compulsory.
2. The question paper consists of 31 questions divided into four sections A, B, C and D. Section
A comprises of 4 question of 1 marks each, Section B comprises of 6 questions of 2 marks
each, Section C comprises of 10 questions of 3 marks each and Section D comprises of 11
questions of 4 marks each.
3. There is no overall choice in this question paper.
4. Use of calculator is not permitted.
?"-?/SECTION A
 ??%? 1 ?? 4 ? ?? ?? 1 ??? ?? |
Question numbers 1 to 4 carry one mark each. 
1. ( )
1/2
1
2
16
? ?
? ?
? ?
?? ??? &?? ????? |
Find the value of 
( )
1/2
1
2
16 .
? ?
? ?
? ?
 
2. ????) ??$ ????? ?? ??? ??? ? 
2
2
4
9
y
x - ?? ???????? ????? |
Using appropriate identify, factorise 
2
2
4 .
9
y
x - 
3. ?? ?????? ??? 2:7 ? ? ?????? ? ?? | ?? ????? ?? ??? &?? ????? |
Two supplement angles are in the ratio 2:7. Find the measure of angles. 
4. ?
??? ?? /?
?? &?? ?????, ???? ???? ???? 8cm ?? ???$??? 12 cm ?? |
Find the area of a triangle whose base is 8 cm and perpendicular is 12cm.
?"-?/SECTION B
 ??%? 5 ?? 10 ? ?? ? ? 2 ??? ?? |
Question numbers 5 to 10 carry two marks each. 
5. 0.3??
p
q
? ? 6? ? 7) ?????, ???? p ?? q ????9? ?? ??? 0 q ? ?? |
Express 0.3 in the form 
p
q
, where p and q are integers and 0. q ?
6. ??? x +a,
2
3 ma nx x - - ?? ?? ??????? ??, ?? ??: ????? ??
3
m n
a
+
= ?? |
If x +a, 
2
3 ma nx x - - then prove that .
3
m n
a
+
= 
7. ?? ;? ?? ? ?? ?, ?? 1 2 ? = ? ?? 3 4 ? = ? ?= ?? | ???$?? ABC= DBC ? ? ?? | ??? ??? ?? ????> ???????? ?? ??? ????? |
In the given figure, we have 1 2 ? = ? and 3 4 ? = ? . Show that ABC= DBC. ? ? State the
Euclid’s axiom used by you. 
8. ?? ? ?? ?, AB||CD, ED CD ? ?? EGF=50 ?

?? | EFG ? ?? GFD ? &?? ????? |
Page 3


J2MDB65 
?????? ???
? - I, 2016 – 17
SUMMATIVE ASSESSMENT – I, 2016 – 17 
????/MATHEMATICS
?
? - IX /CLASS: IX
?????? ??? : 3 ???? ?????? ??? : 90
Time: 3 Hrs.  M.M   :   90 
???? ???? :
1. ???  ?????? ?? |
2. ??  ?
 ? 31  ??, ?? ??? ????? ?, ?, ? ??? ? ? ????? ??? ?? | ?"-?
? 4  ?? ???? ?? ? ? 1 ??? ??; ?"-? ? 6  ?? ???? ?? ? ? 2 ??? ??;
?"-? ? 10  ?? ???? ?? ? ? 3 ??? ??; ??? ?"-? ? 11  ?? ???? ??
? ? 4 ??? ?? |
3. ??  ?
 ? ??? ?? ? ??? ?? |
4. ? ? ?? ? ???? ?? ??? ???$? ?? |
General Instructions: 
1. All questions are compulsory.
2. The question paper consists of 31 questions divided into four sections A, B, C and D. Section
A comprises of 4 question of 1 marks each, Section B comprises of 6 questions of 2 marks
each, Section C comprises of 10 questions of 3 marks each and Section D comprises of 11
questions of 4 marks each.
3. There is no overall choice in this question paper.
4. Use of calculator is not permitted.
?"-?/SECTION A
 ??%? 1 ?? 4 ? ?? ?? 1 ??? ?? |
Question numbers 1 to 4 carry one mark each. 
1. ( )
1/2
1
2
16
? ?
? ?
? ?
?? ??? &?? ????? |
Find the value of 
( )
1/2
1
2
16 .
? ?
? ?
? ?
 
2. ????) ??$ ????? ?? ??? ??? ? 
2
2
4
9
y
x - ?? ???????? ????? |
Using appropriate identify, factorise 
2
2
4 .
9
y
x - 
3. ?? ?????? ??? 2:7 ? ? ?????? ? ?? | ?? ????? ?? ??? &?? ????? |
Two supplement angles are in the ratio 2:7. Find the measure of angles. 
4. ?
??? ?? /?
?? &?? ?????, ???? ???? ???? 8cm ?? ???$??? 12 cm ?? |
Find the area of a triangle whose base is 8 cm and perpendicular is 12cm.
?"-?/SECTION B
 ??%? 5 ?? 10 ? ?? ? ? 2 ??? ?? |
Question numbers 5 to 10 carry two marks each. 
5. 0.3??
p
q
? ? 6? ? 7) ?????, ???? p ?? q ????9? ?? ??? 0 q ? ?? |
Express 0.3 in the form 
p
q
, where p and q are integers and 0. q ?
6. ??? x +a,
2
3 ma nx x - - ?? ?? ??????? ??, ?? ??: ????? ??
3
m n
a
+
= ?? |
If x +a, 
2
3 ma nx x - - then prove that .
3
m n
a
+
= 
7. ?? ;? ?? ? ?? ?, ?? 1 2 ? = ? ?? 3 4 ? = ? ?= ?? | ???$?? ABC= DBC ? ? ?? | ??? ??? ?? ????> ???????? ?? ??? ????? |
In the given figure, we have 1 2 ? = ? and 3 4 ? = ? . Show that ABC= DBC. ? ? State the
Euclid’s axiom used by you. 
8. ?? ? ?? ?, AB||CD, ED CD ? ?? EGF=50 ?

?? | EFG ? ?? GFD ? &?? ????? |
In the figure, AB||CD, ED CD ? and EGF=50 . ?

Find EFG ? and GFD. ?
9. ??? ??@???? ?? y-?/ ?? ? ? B???? &?? ?????:
(3, 0), (0, -3), (22, -5) and (-3, -1)
Find distances of following points from y-axis:
(3, 0), (0, -3), (22, -5) and (-3, -1)
10. ???? ?
??? ?? ????? ? 100 m, 120 m ?? 140 m ?? | ???? /?
?? &?? ?????
| 
( 6 2.45 = ?? ??? ?????)
Sides of a triangle are 100m, 120m and 140m. Find its area. (Use 6 2.45 = )
?"-?/SECTION C
 ??%? 11 ?? 20 ? ?? ? ? 3 ??? ?? |
Question numbers 11 to 20 carrying three marks each. 
11. 10.5 ?? ??%? ???? ?? ??C??? ????? |
Represent 10.5 on the number line. 
12. ???
2 5
5 ,
2 3 5
a b
- = +
+
??, ?? a ?? b &?? ????? |
If 
2 5
5 ,
2 3 5
a b
- = +
+
 find a and b. 
13. ??? 2x + 3y = 12 ?? xy = 6 ??, ?? 8x
3
 + 27y
3
 ?? ??? &?? ????? |
If 2x + 3y = 12 and xy = 6, find the value of 8x
3
 + 27y
3
.
14. ?? ????) ??$????? ?? ????? ???? ;?, 102
3
 – 2
3
 ?? ??? &?? ??????? |
Evaluate, using a suitable identify: 102
3
 – 2
3
.
15. ?? ;? ?? ? ?? ?, ????? ? AB ?? CD ??D? ????? O ?? ??E ? ? ???? ?? | x,y
?? z ?? ??? &?? ????? |
Page 4


J2MDB65 
?????? ???
? - I, 2016 – 17
SUMMATIVE ASSESSMENT – I, 2016 – 17 
????/MATHEMATICS
?
? - IX /CLASS: IX
?????? ??? : 3 ???? ?????? ??? : 90
Time: 3 Hrs.  M.M   :   90 
???? ???? :
1. ???  ?????? ?? |
2. ??  ?
 ? 31  ??, ?? ??? ????? ?, ?, ? ??? ? ? ????? ??? ?? | ?"-?
? 4  ?? ???? ?? ? ? 1 ??? ??; ?"-? ? 6  ?? ???? ?? ? ? 2 ??? ??;
?"-? ? 10  ?? ???? ?? ? ? 3 ??? ??; ??? ?"-? ? 11  ?? ???? ??
? ? 4 ??? ?? |
3. ??  ?
 ? ??? ?? ? ??? ?? |
4. ? ? ?? ? ???? ?? ??? ???$? ?? |
General Instructions: 
1. All questions are compulsory.
2. The question paper consists of 31 questions divided into four sections A, B, C and D. Section
A comprises of 4 question of 1 marks each, Section B comprises of 6 questions of 2 marks
each, Section C comprises of 10 questions of 3 marks each and Section D comprises of 11
questions of 4 marks each.
3. There is no overall choice in this question paper.
4. Use of calculator is not permitted.
?"-?/SECTION A
 ??%? 1 ?? 4 ? ?? ?? 1 ??? ?? |
Question numbers 1 to 4 carry one mark each. 
1. ( )
1/2
1
2
16
? ?
? ?
? ?
?? ??? &?? ????? |
Find the value of 
( )
1/2
1
2
16 .
? ?
? ?
? ?
 
2. ????) ??$ ????? ?? ??? ??? ? 
2
2
4
9
y
x - ?? ???????? ????? |
Using appropriate identify, factorise 
2
2
4 .
9
y
x - 
3. ?? ?????? ??? 2:7 ? ? ?????? ? ?? | ?? ????? ?? ??? &?? ????? |
Two supplement angles are in the ratio 2:7. Find the measure of angles. 
4. ?
??? ?? /?
?? &?? ?????, ???? ???? ???? 8cm ?? ???$??? 12 cm ?? |
Find the area of a triangle whose base is 8 cm and perpendicular is 12cm.
?"-?/SECTION B
 ??%? 5 ?? 10 ? ?? ? ? 2 ??? ?? |
Question numbers 5 to 10 carry two marks each. 
5. 0.3??
p
q
? ? 6? ? 7) ?????, ???? p ?? q ????9? ?? ??? 0 q ? ?? |
Express 0.3 in the form 
p
q
, where p and q are integers and 0. q ?
6. ??? x +a,
2
3 ma nx x - - ?? ?? ??????? ??, ?? ??: ????? ??
3
m n
a
+
= ?? |
If x +a, 
2
3 ma nx x - - then prove that .
3
m n
a
+
= 
7. ?? ;? ?? ? ?? ?, ?? 1 2 ? = ? ?? 3 4 ? = ? ?= ?? | ???$?? ABC= DBC ? ? ?? | ??? ??? ?? ????> ???????? ?? ??? ????? |
In the given figure, we have 1 2 ? = ? and 3 4 ? = ? . Show that ABC= DBC. ? ? State the
Euclid’s axiom used by you. 
8. ?? ? ?? ?, AB||CD, ED CD ? ?? EGF=50 ?

?? | EFG ? ?? GFD ? &?? ????? |
In the figure, AB||CD, ED CD ? and EGF=50 . ?

Find EFG ? and GFD. ?
9. ??? ??@???? ?? y-?/ ?? ? ? B???? &?? ?????:
(3, 0), (0, -3), (22, -5) and (-3, -1)
Find distances of following points from y-axis:
(3, 0), (0, -3), (22, -5) and (-3, -1)
10. ???? ?
??? ?? ????? ? 100 m, 120 m ?? 140 m ?? | ???? /?
?? &?? ?????
| 
( 6 2.45 = ?? ??? ?????)
Sides of a triangle are 100m, 120m and 140m. Find its area. (Use 6 2.45 = )
?"-?/SECTION C
 ??%? 11 ?? 20 ? ?? ? ? 3 ??? ?? |
Question numbers 11 to 20 carrying three marks each. 
11. 10.5 ?? ??%? ???? ?? ??C??? ????? |
Represent 10.5 on the number line. 
12. ???
2 5
5 ,
2 3 5
a b
- = +
+
??, ?? a ?? b &?? ????? |
If 
2 5
5 ,
2 3 5
a b
- = +
+
 find a and b. 
13. ??? 2x + 3y = 12 ?? xy = 6 ??, ?? 8x
3
 + 27y
3
 ?? ??? &?? ????? |
If 2x + 3y = 12 and xy = 6, find the value of 8x
3
 + 27y
3
.
14. ?? ????) ??$????? ?? ????? ???? ;?, 102
3
 – 2
3
 ?? ??? &?? ??????? |
Evaluate, using a suitable identify: 102
3
 – 2
3
.
15. ?? ;? ?? ? ?? ?, ????? ? AB ?? CD ??D? ????? O ?? ??E ? ? ???? ?? | x,y
?? z ?? ??? &?? ????? |
In the given figure, lines Ab and CD interest each other at O. Find the values of x, y and z. 
16. ?? ???$? ???? ?? ?????? ?? ????? ?? | ?? ??? ??? ?F: ???F? ????? ? ? ???G???? ??? ??D? ?????? ??, ?? ??: ????? ?? ????? ? ?????? ?? |
If the bisector of a pair of alternate angles formed by a transversal with two given lines
are parallel, prove that the given lines are parallel.
17. ?? ?? ?? ? ?? ? x ?? ??? &?? ?????:
In the given figure, find the value of x: 
18. ?? ???G??; ?
??? ABC,???? AC=BC ??, ? ? ???$??? H??? AD ?? BE ?? |
??: ????? ?? AE=BD ?? |
AD and BE are respectively altitude of an isosceles triangle ABC with AC = BC. Prove that
AE = BD.
Page 5


J2MDB65 
?????? ???
? - I, 2016 – 17
SUMMATIVE ASSESSMENT – I, 2016 – 17 
????/MATHEMATICS
?
? - IX /CLASS: IX
?????? ??? : 3 ???? ?????? ??? : 90
Time: 3 Hrs.  M.M   :   90 
???? ???? :
1. ???  ?????? ?? |
2. ??  ?
 ? 31  ??, ?? ??? ????? ?, ?, ? ??? ? ? ????? ??? ?? | ?"-?
? 4  ?? ???? ?? ? ? 1 ??? ??; ?"-? ? 6  ?? ???? ?? ? ? 2 ??? ??;
?"-? ? 10  ?? ???? ?? ? ? 3 ??? ??; ??? ?"-? ? 11  ?? ???? ??
? ? 4 ??? ?? |
3. ??  ?
 ? ??? ?? ? ??? ?? |
4. ? ? ?? ? ???? ?? ??? ???$? ?? |
General Instructions: 
1. All questions are compulsory.
2. The question paper consists of 31 questions divided into four sections A, B, C and D. Section
A comprises of 4 question of 1 marks each, Section B comprises of 6 questions of 2 marks
each, Section C comprises of 10 questions of 3 marks each and Section D comprises of 11
questions of 4 marks each.
3. There is no overall choice in this question paper.
4. Use of calculator is not permitted.
?"-?/SECTION A
 ??%? 1 ?? 4 ? ?? ?? 1 ??? ?? |
Question numbers 1 to 4 carry one mark each. 
1. ( )
1/2
1
2
16
? ?
? ?
? ?
?? ??? &?? ????? |
Find the value of 
( )
1/2
1
2
16 .
? ?
? ?
? ?
 
2. ????) ??$ ????? ?? ??? ??? ? 
2
2
4
9
y
x - ?? ???????? ????? |
Using appropriate identify, factorise 
2
2
4 .
9
y
x - 
3. ?? ?????? ??? 2:7 ? ? ?????? ? ?? | ?? ????? ?? ??? &?? ????? |
Two supplement angles are in the ratio 2:7. Find the measure of angles. 
4. ?
??? ?? /?
?? &?? ?????, ???? ???? ???? 8cm ?? ???$??? 12 cm ?? |
Find the area of a triangle whose base is 8 cm and perpendicular is 12cm.
?"-?/SECTION B
 ??%? 5 ?? 10 ? ?? ? ? 2 ??? ?? |
Question numbers 5 to 10 carry two marks each. 
5. 0.3??
p
q
? ? 6? ? 7) ?????, ???? p ?? q ????9? ?? ??? 0 q ? ?? |
Express 0.3 in the form 
p
q
, where p and q are integers and 0. q ?
6. ??? x +a,
2
3 ma nx x - - ?? ?? ??????? ??, ?? ??: ????? ??
3
m n
a
+
= ?? |
If x +a, 
2
3 ma nx x - - then prove that .
3
m n
a
+
= 
7. ?? ;? ?? ? ?? ?, ?? 1 2 ? = ? ?? 3 4 ? = ? ?= ?? | ???$?? ABC= DBC ? ? ?? | ??? ??? ?? ????> ???????? ?? ??? ????? |
In the given figure, we have 1 2 ? = ? and 3 4 ? = ? . Show that ABC= DBC. ? ? State the
Euclid’s axiom used by you. 
8. ?? ? ?? ?, AB||CD, ED CD ? ?? EGF=50 ?

?? | EFG ? ?? GFD ? &?? ????? |
In the figure, AB||CD, ED CD ? and EGF=50 . ?

Find EFG ? and GFD. ?
9. ??? ??@???? ?? y-?/ ?? ? ? B???? &?? ?????:
(3, 0), (0, -3), (22, -5) and (-3, -1)
Find distances of following points from y-axis:
(3, 0), (0, -3), (22, -5) and (-3, -1)
10. ???? ?
??? ?? ????? ? 100 m, 120 m ?? 140 m ?? | ???? /?
?? &?? ?????
| 
( 6 2.45 = ?? ??? ?????)
Sides of a triangle are 100m, 120m and 140m. Find its area. (Use 6 2.45 = )
?"-?/SECTION C
 ??%? 11 ?? 20 ? ?? ? ? 3 ??? ?? |
Question numbers 11 to 20 carrying three marks each. 
11. 10.5 ?? ??%? ???? ?? ??C??? ????? |
Represent 10.5 on the number line. 
12. ???
2 5
5 ,
2 3 5
a b
- = +
+
??, ?? a ?? b &?? ????? |
If 
2 5
5 ,
2 3 5
a b
- = +
+
 find a and b. 
13. ??? 2x + 3y = 12 ?? xy = 6 ??, ?? 8x
3
 + 27y
3
 ?? ??? &?? ????? |
If 2x + 3y = 12 and xy = 6, find the value of 8x
3
 + 27y
3
.
14. ?? ????) ??$????? ?? ????? ???? ;?, 102
3
 – 2
3
 ?? ??? &?? ??????? |
Evaluate, using a suitable identify: 102
3
 – 2
3
.
15. ?? ;? ?? ? ?? ?, ????? ? AB ?? CD ??D? ????? O ?? ??E ? ? ???? ?? | x,y
?? z ?? ??? &?? ????? |
In the given figure, lines Ab and CD interest each other at O. Find the values of x, y and z. 
16. ?? ???$? ???? ?? ?????? ?? ????? ?? | ?? ??? ??? ?F: ???F? ????? ? ? ???G???? ??? ??D? ?????? ??, ?? ??: ????? ?? ????? ? ?????? ?? |
If the bisector of a pair of alternate angles formed by a transversal with two given lines
are parallel, prove that the given lines are parallel.
17. ?? ?? ?? ? ?? ? x ?? ??? &?? ?????:
In the given figure, find the value of x: 
18. ?? ???G??; ?
??? ABC,???? AC=BC ??, ? ? ???$??? H??? AD ?? BE ?? |
??: ????? ?? AE=BD ?? |
AD and BE are respectively altitude of an isosceles triangle ABC with AC = BC. Prove that
AE = BD.
19. ???? ?? ??? ?? ? ?? ? ? ??@???? C,D,E ?? F ? ? ???J???? ??K?? | ??? ??, AC
?? DF ? ? x-?/ ? ? ??? ??E ? ? ??@???? ? ? ???J???? ?? ??K?? |
Write coordinate of points A, B, C, D, E and F of figures formed on the graph. Also, write 
coordinates of points of intersection of AC and DF with x-axis. 
20. ?? ?????? ?????$? ABCD ?? ??M ?????? ?? ??? 34 cm ?? 20 cm ?? ???
????$ AC ?? ?N?? 42 cm ?? | ???? /?
?? &?? ????? |
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