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 Page 1


 
 
 
 
1JD39IH 
?????? ???
? – I, 2016-17 
SUMMATIVE ASSESSMENT – I, 2016 – 17 
???? / MATHEMATICS  
?
? – X / CLASS – X 
?????? ???:3 ??             ?????? ???:90 
Time Allowed : 3 hours               Maximum Marks: 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 questions of 1 mark each; Section- B comprises of 6 questions of 
2 marks each; Section–C comprises of 10 questions of 3 marks each and Section–D 
comprise 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. ?
??? PQR ?, ?????? PQ ??? PR ?? (??? ??+?? S ??? T ?? ??? -.?? ? ?? 
ST||OR ? | ??? PS=4 cm, PQ=9 cm ??? PR=4.5 cm ??, ?? PT /?? ????? | 
In PQR, ? S and T are points on the sides PQ and PR respectively such that ST||QR. If PS = 
4cm, PQ = 9cm and PR = 4.5cm, then find PT. 
 
2. cosec48
o
 + tan88
o
 ?? 0
o
 ?? 45
o
 ?? ??? ?? ????? ?? t–???????? ?? ???? ? 34 ????? 
| 
Express cosec48
o
 + tan88
o
 in terms of t – ratios of angles between 0
o
 and 45
o
. 
 
3. ??? ? ?? ??? 0
o
 ?? 90
o
 ?? ???? ??, ?? sin? ?? ??? ?? 6? ???? ??? 
Page 2


 
 
 
 
1JD39IH 
?????? ???
? – I, 2016-17 
SUMMATIVE ASSESSMENT – I, 2016 – 17 
???? / MATHEMATICS  
?
? – X / CLASS – X 
?????? ???:3 ??             ?????? ???:90 
Time Allowed : 3 hours               Maximum Marks: 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 questions of 1 mark each; Section- B comprises of 6 questions of 
2 marks each; Section–C comprises of 10 questions of 3 marks each and Section–D 
comprise 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. ?
??? PQR ?, ?????? PQ ??? PR ?? (??? ??+?? S ??? T ?? ??? -.?? ? ?? 
ST||OR ? | ??? PS=4 cm, PQ=9 cm ??? PR=4.5 cm ??, ?? PT /?? ????? | 
In PQR, ? S and T are points on the sides PQ and PR respectively such that ST||QR. If PS = 
4cm, PQ = 9cm and PR = 4.5cm, then find PT. 
 
2. cosec48
o
 + tan88
o
 ?? 0
o
 ?? 45
o
 ?? ??? ?? ????? ?? t–???????? ?? ???? ? 34 ????? 
| 
Express cosec48
o
 + tan88
o
 in terms of t – ratios of angles between 0
o
 and 45
o
. 
 
3. ??? ? ?? ??? 0
o
 ?? 90
o
 ?? ???? ??, ?? sin? ?? ??? ?? 6? ???? ??? 
 
 
 
 
What happens to value of sin? when ? increase from 0
o
 top 90
o
. 
 
4. ?? ??????? ????? ?? ??? ???? 9?, ?????? ?? ??<? /?? ????? ???? ?9?? 
= 12.4 ?? ??< = 10.5 ???? ?? | 
Find median of the data, using an empirical relation when it is given that mode = 12.4 and 
mean = 10.5. 
 
? – ? / SECTION B 
 
 ??%? 5 ?? 10 ? ?? ?? 2 ??? ? | 
Question numbers 5 to 10 carry two marks each. 
 
5. ???$?? ?? ??? ???=? ???? ????A? ?? B? 4q+1 ?? 4q+3 ?? B? ?? ???? ??, 
???? q ??? ???=? ????A? ?? | 
Show that any positive odd integer is of the form 4q + 1 or 4q + 3, where q is some positive 
integer. 
 
6. ??C ????? ?? 
3 2
4
 ?? ??D???? ??%? ?? | 
Prove that 
3 2
4
 is an irrational number. 
 
7. /?? ????? ?? ??E ????? ?????? ??G ?? ??H??? ???????? ??? ?????? ?? ??+?? 
?? ??I?? ???? ?, ?????? ? ???? ?????? ?: 
2x – 3y + 6 = 0 
4x – 5y + 2 = 0 
Find whether the lines representing the following pair of linear equations intersect at a 
point are parallel or coincident: 
2x – 3y + 6 = 0 
4x – 5y + 2 = 0 
 
8. ????? ?, AD /?? ?????, AB = BC = 1cm ??? CD = 2cm ?? |  
 
In the figure, find AD if AB = BC = 1cm CD = 2cm.  
Page 3


 
 
 
 
1JD39IH 
?????? ???
? – I, 2016-17 
SUMMATIVE ASSESSMENT – I, 2016 – 17 
???? / MATHEMATICS  
?
? – X / CLASS – X 
?????? ???:3 ??             ?????? ???:90 
Time Allowed : 3 hours               Maximum Marks: 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 questions of 1 mark each; Section- B comprises of 6 questions of 
2 marks each; Section–C comprises of 10 questions of 3 marks each and Section–D 
comprise 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. ?
??? PQR ?, ?????? PQ ??? PR ?? (??? ??+?? S ??? T ?? ??? -.?? ? ?? 
ST||OR ? | ??? PS=4 cm, PQ=9 cm ??? PR=4.5 cm ??, ?? PT /?? ????? | 
In PQR, ? S and T are points on the sides PQ and PR respectively such that ST||QR. If PS = 
4cm, PQ = 9cm and PR = 4.5cm, then find PT. 
 
2. cosec48
o
 + tan88
o
 ?? 0
o
 ?? 45
o
 ?? ??? ?? ????? ?? t–???????? ?? ???? ? 34 ????? 
| 
Express cosec48
o
 + tan88
o
 in terms of t – ratios of angles between 0
o
 and 45
o
. 
 
3. ??? ? ?? ??? 0
o
 ?? 90
o
 ?? ???? ??, ?? sin? ?? ??? ?? 6? ???? ??? 
 
 
 
 
What happens to value of sin? when ? increase from 0
o
 top 90
o
. 
 
4. ?? ??????? ????? ?? ??? ???? 9?, ?????? ?? ??<? /?? ????? ???? ?9?? 
= 12.4 ?? ??< = 10.5 ???? ?? | 
Find median of the data, using an empirical relation when it is given that mode = 12.4 and 
mean = 10.5. 
 
? – ? / SECTION B 
 
 ??%? 5 ?? 10 ? ?? ?? 2 ??? ? | 
Question numbers 5 to 10 carry two marks each. 
 
5. ???$?? ?? ??? ???=? ???? ????A? ?? B? 4q+1 ?? 4q+3 ?? B? ?? ???? ??, 
???? q ??? ???=? ????A? ?? | 
Show that any positive odd integer is of the form 4q + 1 or 4q + 3, where q is some positive 
integer. 
 
6. ??C ????? ?? 
3 2
4
 ?? ??D???? ??%? ?? | 
Prove that 
3 2
4
 is an irrational number. 
 
7. /?? ????? ?? ??E ????? ?????? ??G ?? ??H??? ???????? ??? ?????? ?? ??+?? 
?? ??I?? ???? ?, ?????? ? ???? ?????? ?: 
2x – 3y + 6 = 0 
4x – 5y + 2 = 0 
Find whether the lines representing the following pair of linear equations intersect at a 
point are parallel or coincident: 
2x – 3y + 6 = 0 
4x – 5y + 2 = 0 
 
8. ????? ?, AD /?? ?????, AB = BC = 1cm ??? CD = 2cm ?? |  
 
In the figure, find AD if AB = BC = 1cm CD = 2cm.  
 
 
 
 
 
 
 
9. ??? 
1
cos(A+B) sin(A-B)
2
= = ?, ?? A ?? B /?? ?????, ???? ???? ??? ?? ?? A 
+ B ?? A – B K?? ??? ? | 
If 
1
cos(A+B) sin(A-B),
2
= = then find A and B, when it is given that A + B and A – B are acute 
angles. 
 
10. ???? ?? ????? ????????? ???? ???? ??? ?? | ???? ???? ?? ?????? ????????? ???? 
????? | 
x Cf 
600 ?? ?? 
60 
500 ?? ?? 
58 
400 ?? ?? 
54 
300 ?? ??  
35 
200 ?? ?? 
22 
100 ?? ?? 
10 
Given below is a cumulative frequency distribution. Corresponding to it, make an ordinary 
frequency distribution. 
x Cf 
Below 600 60 
Below 500 58 
Below 400 54 
Below 300 35 
Below 200 22 
Below 100 10 
  
? - ? / SECTION C 
 
 ??%? 11 ?? 20 ? ?? ?? 3 ??? ?? | 
Question numbers 11 to 20 carry three marks each. 
 
11. 306 ?? 657 ?? HCF /?? ????? | HCF ?? ????? ???? ???? LCM ?? /?? 
????? | 
Find HCF of 306 and 657. Also find their LCM using their HCF. 
 
Page 4


 
 
 
 
1JD39IH 
?????? ???
? – I, 2016-17 
SUMMATIVE ASSESSMENT – I, 2016 – 17 
???? / MATHEMATICS  
?
? – X / CLASS – X 
?????? ???:3 ??             ?????? ???:90 
Time Allowed : 3 hours               Maximum Marks: 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 questions of 1 mark each; Section- B comprises of 6 questions of 
2 marks each; Section–C comprises of 10 questions of 3 marks each and Section–D 
comprise 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. ?
??? PQR ?, ?????? PQ ??? PR ?? (??? ??+?? S ??? T ?? ??? -.?? ? ?? 
ST||OR ? | ??? PS=4 cm, PQ=9 cm ??? PR=4.5 cm ??, ?? PT /?? ????? | 
In PQR, ? S and T are points on the sides PQ and PR respectively such that ST||QR. If PS = 
4cm, PQ = 9cm and PR = 4.5cm, then find PT. 
 
2. cosec48
o
 + tan88
o
 ?? 0
o
 ?? 45
o
 ?? ??? ?? ????? ?? t–???????? ?? ???? ? 34 ????? 
| 
Express cosec48
o
 + tan88
o
 in terms of t – ratios of angles between 0
o
 and 45
o
. 
 
3. ??? ? ?? ??? 0
o
 ?? 90
o
 ?? ???? ??, ?? sin? ?? ??? ?? 6? ???? ??? 
 
 
 
 
What happens to value of sin? when ? increase from 0
o
 top 90
o
. 
 
4. ?? ??????? ????? ?? ??? ???? 9?, ?????? ?? ??<? /?? ????? ???? ?9?? 
= 12.4 ?? ??< = 10.5 ???? ?? | 
Find median of the data, using an empirical relation when it is given that mode = 12.4 and 
mean = 10.5. 
 
? – ? / SECTION B 
 
 ??%? 5 ?? 10 ? ?? ?? 2 ??? ? | 
Question numbers 5 to 10 carry two marks each. 
 
5. ???$?? ?? ??? ???=? ???? ????A? ?? B? 4q+1 ?? 4q+3 ?? B? ?? ???? ??, 
???? q ??? ???=? ????A? ?? | 
Show that any positive odd integer is of the form 4q + 1 or 4q + 3, where q is some positive 
integer. 
 
6. ??C ????? ?? 
3 2
4
 ?? ??D???? ??%? ?? | 
Prove that 
3 2
4
 is an irrational number. 
 
7. /?? ????? ?? ??E ????? ?????? ??G ?? ??H??? ???????? ??? ?????? ?? ??+?? 
?? ??I?? ???? ?, ?????? ? ???? ?????? ?: 
2x – 3y + 6 = 0 
4x – 5y + 2 = 0 
Find whether the lines representing the following pair of linear equations intersect at a 
point are parallel or coincident: 
2x – 3y + 6 = 0 
4x – 5y + 2 = 0 
 
8. ????? ?, AD /?? ?????, AB = BC = 1cm ??? CD = 2cm ?? |  
 
In the figure, find AD if AB = BC = 1cm CD = 2cm.  
 
 
 
 
 
 
 
9. ??? 
1
cos(A+B) sin(A-B)
2
= = ?, ?? A ?? B /?? ?????, ???? ???? ??? ?? ?? A 
+ B ?? A – B K?? ??? ? | 
If 
1
cos(A+B) sin(A-B),
2
= = then find A and B, when it is given that A + B and A – B are acute 
angles. 
 
10. ???? ?? ????? ????????? ???? ???? ??? ?? | ???? ???? ?? ?????? ????????? ???? 
????? | 
x Cf 
600 ?? ?? 
60 
500 ?? ?? 
58 
400 ?? ?? 
54 
300 ?? ??  
35 
200 ?? ?? 
22 
100 ?? ?? 
10 
Given below is a cumulative frequency distribution. Corresponding to it, make an ordinary 
frequency distribution. 
x Cf 
Below 600 60 
Below 500 58 
Below 400 54 
Below 300 35 
Below 200 22 
Below 100 10 
  
? - ? / SECTION C 
 
 ??%? 11 ?? 20 ? ?? ?? 3 ??? ?? | 
Question numbers 11 to 20 carry three marks each. 
 
11. 306 ?? 657 ?? HCF /?? ????? | HCF ?? ????? ???? ???? LCM ?? /?? 
????? | 
Find HCF of 306 and 657. Also find their LCM using their HCF. 
 
 
 
 
 
12. ??? ?9?? 
3 2
6 6 x x x k - + + , ?9?? x- 3 ?? ???$??? ??? ?? ??? ?? k ?? ??? /?? 
?????| 
If 
3 2
6 6 x x x k - + + is completely divisible by x- 3, then find the value of k. 
 
13. ?M???? ?9?? 
2
6 9 x x + + ?? ??K? ??? a ??? ß ??? ?? ?M???? ?9?? /?? ????? 
????? ??K? a - ??? ß - ? | 
If a and ß are zeroes of a polynomial 
2
6 9, x x + + then form a polynomial whose zeroes 
are a - and . ß - 
 
14. ??E ??-?? ?????? ??G ?? ?O-???? ???? ?? ?? ?????: 
x + 2y = 2 
x – 3y = 7 
Solve the following pair of linear equations by the cross multiplication method: 
x + 2y = 2 
x – 3y = 7 
 
15. ABC ? ?? ????? ?
??? ??, ???? 90
o
B ? = ?? | AB ??? BC ?? (??? ?? ??+?? 
D ??? E -.?? ? | ??C ????? ?? 
2 2 2 2
AE CD AC DE + = + ?? | 
ABC ? is a right angled triangle in which 90 .
o
B ? = D and E are any points on AB and BC 
respectively. Prove that 
2 2 2 2
. AE CD AC DE + = + 
 
16. ??
 ? ABC ? ?? ????9 ?
??? ??, ????? ?? ???? x ???? ?? ?? | ???? ?? 
BC ?? ?? ????? P ?? Q ?? ??? ? ?? PB = BC = CQ ?? | ??C ????? ??  
 
(a) 
PQ PA
PA PB
= 
(b) 
2 2
3 PA x = 
In given figure ABC ? is an equilateral triangle, whose each side measure x units. P and Q 
are two points on BC produced such that PB = BC = CQ. 
Page 5


 
 
 
 
1JD39IH 
?????? ???
? – I, 2016-17 
SUMMATIVE ASSESSMENT – I, 2016 – 17 
???? / MATHEMATICS  
?
? – X / CLASS – X 
?????? ???:3 ??             ?????? ???:90 
Time Allowed : 3 hours               Maximum Marks: 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 questions of 1 mark each; Section- B comprises of 6 questions of 
2 marks each; Section–C comprises of 10 questions of 3 marks each and Section–D 
comprise 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. ?
??? PQR ?, ?????? PQ ??? PR ?? (??? ??+?? S ??? T ?? ??? -.?? ? ?? 
ST||OR ? | ??? PS=4 cm, PQ=9 cm ??? PR=4.5 cm ??, ?? PT /?? ????? | 
In PQR, ? S and T are points on the sides PQ and PR respectively such that ST||QR. If PS = 
4cm, PQ = 9cm and PR = 4.5cm, then find PT. 
 
2. cosec48
o
 + tan88
o
 ?? 0
o
 ?? 45
o
 ?? ??? ?? ????? ?? t–???????? ?? ???? ? 34 ????? 
| 
Express cosec48
o
 + tan88
o
 in terms of t – ratios of angles between 0
o
 and 45
o
. 
 
3. ??? ? ?? ??? 0
o
 ?? 90
o
 ?? ???? ??, ?? sin? ?? ??? ?? 6? ???? ??? 
 
 
 
 
What happens to value of sin? when ? increase from 0
o
 top 90
o
. 
 
4. ?? ??????? ????? ?? ??? ???? 9?, ?????? ?? ??<? /?? ????? ???? ?9?? 
= 12.4 ?? ??< = 10.5 ???? ?? | 
Find median of the data, using an empirical relation when it is given that mode = 12.4 and 
mean = 10.5. 
 
? – ? / SECTION B 
 
 ??%? 5 ?? 10 ? ?? ?? 2 ??? ? | 
Question numbers 5 to 10 carry two marks each. 
 
5. ???$?? ?? ??? ???=? ???? ????A? ?? B? 4q+1 ?? 4q+3 ?? B? ?? ???? ??, 
???? q ??? ???=? ????A? ?? | 
Show that any positive odd integer is of the form 4q + 1 or 4q + 3, where q is some positive 
integer. 
 
6. ??C ????? ?? 
3 2
4
 ?? ??D???? ??%? ?? | 
Prove that 
3 2
4
 is an irrational number. 
 
7. /?? ????? ?? ??E ????? ?????? ??G ?? ??H??? ???????? ??? ?????? ?? ??+?? 
?? ??I?? ???? ?, ?????? ? ???? ?????? ?: 
2x – 3y + 6 = 0 
4x – 5y + 2 = 0 
Find whether the lines representing the following pair of linear equations intersect at a 
point are parallel or coincident: 
2x – 3y + 6 = 0 
4x – 5y + 2 = 0 
 
8. ????? ?, AD /?? ?????, AB = BC = 1cm ??? CD = 2cm ?? |  
 
In the figure, find AD if AB = BC = 1cm CD = 2cm.  
 
 
 
 
 
 
 
9. ??? 
1
cos(A+B) sin(A-B)
2
= = ?, ?? A ?? B /?? ?????, ???? ???? ??? ?? ?? A 
+ B ?? A – B K?? ??? ? | 
If 
1
cos(A+B) sin(A-B),
2
= = then find A and B, when it is given that A + B and A – B are acute 
angles. 
 
10. ???? ?? ????? ????????? ???? ???? ??? ?? | ???? ???? ?? ?????? ????????? ???? 
????? | 
x Cf 
600 ?? ?? 
60 
500 ?? ?? 
58 
400 ?? ?? 
54 
300 ?? ??  
35 
200 ?? ?? 
22 
100 ?? ?? 
10 
Given below is a cumulative frequency distribution. Corresponding to it, make an ordinary 
frequency distribution. 
x Cf 
Below 600 60 
Below 500 58 
Below 400 54 
Below 300 35 
Below 200 22 
Below 100 10 
  
? - ? / SECTION C 
 
 ??%? 11 ?? 20 ? ?? ?? 3 ??? ?? | 
Question numbers 11 to 20 carry three marks each. 
 
11. 306 ?? 657 ?? HCF /?? ????? | HCF ?? ????? ???? ???? LCM ?? /?? 
????? | 
Find HCF of 306 and 657. Also find their LCM using their HCF. 
 
 
 
 
 
12. ??? ?9?? 
3 2
6 6 x x x k - + + , ?9?? x- 3 ?? ???$??? ??? ?? ??? ?? k ?? ??? /?? 
?????| 
If 
3 2
6 6 x x x k - + + is completely divisible by x- 3, then find the value of k. 
 
13. ?M???? ?9?? 
2
6 9 x x + + ?? ??K? ??? a ??? ß ??? ?? ?M???? ?9?? /?? ????? 
????? ??K? a - ??? ß - ? | 
If a and ß are zeroes of a polynomial 
2
6 9, x x + + then form a polynomial whose zeroes 
are a - and . ß - 
 
14. ??E ??-?? ?????? ??G ?? ?O-???? ???? ?? ?? ?????: 
x + 2y = 2 
x – 3y = 7 
Solve the following pair of linear equations by the cross multiplication method: 
x + 2y = 2 
x – 3y = 7 
 
15. ABC ? ?? ????? ?
??? ??, ???? 90
o
B ? = ?? | AB ??? BC ?? (??? ?? ??+?? 
D ??? E -.?? ? | ??C ????? ?? 
2 2 2 2
AE CD AC DE + = + ?? | 
ABC ? is a right angled triangle in which 90 .
o
B ? = D and E are any points on AB and BC 
respectively. Prove that 
2 2 2 2
. AE CD AC DE + = + 
 
16. ??
 ? ABC ? ?? ????9 ?
??? ??, ????? ?? ???? x ???? ?? ?? | ???? ?? 
BC ?? ?? ????? P ?? Q ?? ??? ? ?? PB = BC = CQ ?? | ??C ????? ??  
 
(a) 
PQ PA
PA PB
= 
(b) 
2 2
3 PA x = 
In given figure ABC ? is an equilateral triangle, whose each side measure x units. P and Q 
are two points on BC produced such that PB = BC = CQ. 
 
 
 
 
 
Prove that 
(a) 
PQ PA
PA PB
= 
(b) 
2 2
3 PA x = 
 
17. ??? 
5
cosec =
3
? ??, ?? ??? ??????? : 
4sec 2tan 5sin
20cos 3cosec +9cot
? ? ?
? ? ?
- +
- 
If 
5
cosec = ,
3
? evaluate: 
4sec 2tan 5sin
20cos 3cosec +9cot
? ? ?
? ? ?
- +
- 
 
18. ??C ????? ?? : 
(1 + tan A + cot A). (sin A – cos B) = sin A. tan B – cot A. cos B 
Prove that: 
(1 + tan A + cot A). (sin A – cos B) = sin A. tan B – cot A. cos B 
 
19. ?? ?P? ???? ?, ?? ??(??? ???-??? ??%? ???? ????? ?? ??S?? ? ?? ??? ??? 
?? | ??E ????????? ???? ? ????T ????? ?? ??%? ???? ??S?? ?? ??%? ???$? ?? ?? : 
?? ??S? ? ????? ?? ??%? 
10-12 12-14 14-16 16-18 18-20 
??S?? ?? ??%? 
12 25 13 10 20 
??-????? ???? ??, ?? ??S? ? ??? ?? ????? ?? ??%? ?? ??< /?? ????? | 
In a subji mandi, fruit vendors were selling apples on boxes, which carried varying number 
of apples. The following frequency distribution shows apples according to the number of 
boxes: 
No. of apples in a box 10-12 12-14 14-16 16-18 18-20 
No. of boxes 12 25 13 10 20 
 Find the mean number of apples kept in a packing box, using step deviation method. 
 
20. 50 ??U???$??? M??? ?V ????? ?? ??E??-?? ????????? ???? ?? ?9?? /?? ????? | 
?V ??? 
0-10 10-20 20-30 30-40 40-50 
??U???$??? ?? ??%? 
5 12 20 10 3

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FAQs on CBSE Math Past Year Paper SA-1: Set 6 (2016) - Past Year Papers for Class 10

1. What is the exam pattern for CBSE Math SA-1 Class 10?

Ans. The exam pattern for CBSE Math SA-1 Class 10 generally consists of multiple-choice questions, short answer questions, and long answer questions. Students are required to solve mathematical problems and demonstrate their understanding of concepts.

2. How can I prepare effectively for CBSE Math SA-1 Class 10?

Ans. To prepare effectively for CBSE Math SA-1 Class 10, it is important to understand the syllabus and exam pattern. Practice solving a variety of mathematical problems from previous years' question papers. Also, make sure to revise important formulas and concepts regularly.

3. Are there any important topics that I should focus on for CBSE Math SA-1 Class 10?

Ans. Yes, there are certain important topics that you should focus on for CBSE Math SA-1 Class 10. These include algebra, geometry, trigonometry, mensuration, and statistics. Make sure to thoroughly understand these topics and practice solving related problems.

4. Are there any recommended study materials or reference books for CBSE Math SA-1 Class 10?

Ans. Yes, there are several recommended study materials and reference books for CBSE Math SA-1 Class 10. Some popular options include NCERT textbooks, RD Sharma, and RS Aggarwal. These books provide comprehensive coverage of the syllabus and include ample practice questions.

5. How can I manage my time effectively during the CBSE Math SA-1 Class 10 exam?

Ans. To manage your time effectively during the CBSE Math SA-1 Class 10 exam, it is important to plan your approach beforehand. Allocate specific time slots for each section or type of question. Start with the questions you are most confident about to build momentum. Keep an eye on the clock and make sure to leave enough time for reviewing your answers before submitting the paper.

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Document Description: CBSE Math Past Year Paper SA-1: Set 6 (2016) for Class 10 2024 is part of Past Year Papers for Class 10 preparation. The notes and questions for CBSE Math Past Year Paper SA-1: Set 6 (2016) have been prepared according to the Class 10 exam syllabus. Information about CBSE Math Past Year Paper SA-1: Set 6 (2016) covers topics like and CBSE Math Past Year Paper SA-1: Set 6 (2016) Example, for Class 10 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises and tests below for CBSE Math Past Year Paper SA-1: Set 6 (2016).

Introduction of CBSE Math Past Year Paper SA-1: Set 6 (2016) in English is available as part of our Past Year Papers for Class 10 for Class 10 & CBSE Math Past Year Paper SA-1: Set 6 (2016) in Hindi for Past Year Papers for Class 10 course. Download more important topics related with notes, lectures and mock test series for Class 10 Exam by signing up for free. Class 10: CBSE Math Past Year Paper SA-1: Set 6 (2016) | Past Year Papers for Class 10

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