Class 9 Maths: CBSE Past Year Paper (SA-1) - 2 PDF Download

 Page 1


Summative Assessment –I
Class – 09 
Mathematics 
Time: 3 hr.  Max. Marks: 90 
General Instructions: 
(i)  All questions are compulsory. 
(ii) There are 31 questions in total divided into 4 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. 
Section – D comprises of 11 questions of 4 marks each. 
(iii) Use of calculators is not permitted. 
Section – A 
1. Write the degree of polynomial
2 2
5 3 5 x x y y - + .
2. Find the value of ( ) ( )
0.13 0.37
16 16 × .
3. Write the name of the point where the two axes intersect.
4. Find the angle which is three times its supplement.
Section – B 
5. Find the area of a triangle with sides 20m, 12m and 16m.
6. Write the coordinates of point A, B, C and D.
7. In the given figure, || , 2 30 l m EFB x ? + + °and 70 FGD x ? = + ° , Find the angle EFB ? .
Page 2


Summative Assessment –I
Class – 09 
Mathematics 
Time: 3 hr.  Max. Marks: 90 
General Instructions: 
(i)  All questions are compulsory. 
(ii) There are 31 questions in total divided into 4 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. 
Section – D comprises of 11 questions of 4 marks each. 
(iii) Use of calculators is not permitted. 
Section – A 
1. Write the degree of polynomial
2 2
5 3 5 x x y y - + .
2. Find the value of ( ) ( )
0.13 0.37
16 16 × .
3. Write the name of the point where the two axes intersect.
4. Find the angle which is three times its supplement.
Section – B 
5. Find the area of a triangle with sides 20m, 12m and 16m.
6. Write the coordinates of point A, B, C and D.
7. In the given figure, || , 2 30 l m EFB x ? + + °and 70 FGD x ? = + ° , Find the angle EFB ? .
8. For what value of k, (x – 1) is a factor of
2
x x k + + ?
9. What is an axiom? Give one example.
10. In the given figure, If AB||CD, 35 AFO ? = ° and 127 FXD ? = ° . find x and y.
Section – C 
11. In the given figure 135 MXQ ? = ° and 40 MYR ? = ° , find XMY ? , if PQ is parallel to RS.
12. D is a point on side BC of ABC ? , such that AD = AC. Show that AB > AD
13. Expand
2
1
4 2
a b ? ?
- +
? ?
? ?
 using identity. 
14. Represent 5.2 2 + on the number line.
15. In the given figure, PO AB ? , If x : y = 1:5, then find the degree measure of x and y.
Page 3


Summative Assessment –I
Class – 09 
Mathematics 
Time: 3 hr.  Max. Marks: 90 
General Instructions: 
(i)  All questions are compulsory. 
(ii) There are 31 questions in total divided into 4 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. 
Section – D comprises of 11 questions of 4 marks each. 
(iii) Use of calculators is not permitted. 
Section – A 
1. Write the degree of polynomial
2 2
5 3 5 x x y y - + .
2. Find the value of ( ) ( )
0.13 0.37
16 16 × .
3. Write the name of the point where the two axes intersect.
4. Find the angle which is three times its supplement.
Section – B 
5. Find the area of a triangle with sides 20m, 12m and 16m.
6. Write the coordinates of point A, B, C and D.
7. In the given figure, || , 2 30 l m EFB x ? + + °and 70 FGD x ? = + ° , Find the angle EFB ? .
8. For what value of k, (x – 1) is a factor of
2
x x k + + ?
9. What is an axiom? Give one example.
10. In the given figure, If AB||CD, 35 AFO ? = ° and 127 FXD ? = ° . find x and y.
Section – C 
11. In the given figure 135 MXQ ? = ° and 40 MYR ? = ° , find XMY ? , if PQ is parallel to RS.
12. D is a point on side BC of ABC ? , such that AD = AC. Show that AB > AD
13. Expand
2
1
4 2
a b ? ?
- +
? ?
? ?
 using identity. 
14. Represent 5.2 2 + on the number line.
15. In the given figure, PO AB ? , If x : y = 1:5, then find the degree measure of x and y.
16. Find the value of a and b. if
5 2
5
5 2
a b
+
= +
- 17. Plot the point (x, y) given in the following table on the plane, choosing suitable units of
distance on the axes.
x -2 -1 0 3 
y 4 3 -0.25 -1 
18. Evaluate 103 X 107 without multiplying directly.
19. A triangle and a parallelogram have the same base and the same area. If the sides of the
triangle are 26cm, 28cm and 30cm and the parallelogram stands on the base 28cm, find the
height of the parallelogram.
20. In the given figure, PQ = PS, PR = PT and QPS RPT ? = ? . Prove that QR = ST.
Section – D 
21. If two lines intersect each other, then the vertically opposite angles so formed are equal.
Prove this statement.
22. (a) Expand using identity
3
2 ) ( 3 a b +
(b) Evaluate 
3/2
25
16
- ? ?
? ?
? ?
23. Factorise
3 2
3 9 5 x x x - - - using factor theorem.
24. If a transversal intersects two lines such that the bisectors of a pair of corresponding angles
are parallel, then prove that the two lines are parallel. (Refer to the figure given below)
25. In , 84 PQR P ? ? = ° and 44 PQR ? = ° . If QO and Ro are the bisectors of PQR ? and PRQ ?
respectively, find ORQ ? and QOR ?
Page 4


Summative Assessment –I
Class – 09 
Mathematics 
Time: 3 hr.  Max. Marks: 90 
General Instructions: 
(i)  All questions are compulsory. 
(ii) There are 31 questions in total divided into 4 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. 
Section – D comprises of 11 questions of 4 marks each. 
(iii) Use of calculators is not permitted. 
Section – A 
1. Write the degree of polynomial
2 2
5 3 5 x x y y - + .
2. Find the value of ( ) ( )
0.13 0.37
16 16 × .
3. Write the name of the point where the two axes intersect.
4. Find the angle which is three times its supplement.
Section – B 
5. Find the area of a triangle with sides 20m, 12m and 16m.
6. Write the coordinates of point A, B, C and D.
7. In the given figure, || , 2 30 l m EFB x ? + + °and 70 FGD x ? = + ° , Find the angle EFB ? .
8. For what value of k, (x – 1) is a factor of
2
x x k + + ?
9. What is an axiom? Give one example.
10. In the given figure, If AB||CD, 35 AFO ? = ° and 127 FXD ? = ° . find x and y.
Section – C 
11. In the given figure 135 MXQ ? = ° and 40 MYR ? = ° , find XMY ? , if PQ is parallel to RS.
12. D is a point on side BC of ABC ? , such that AD = AC. Show that AB > AD
13. Expand
2
1
4 2
a b ? ?
- +
? ?
? ?
 using identity. 
14. Represent 5.2 2 + on the number line.
15. In the given figure, PO AB ? , If x : y = 1:5, then find the degree measure of x and y.
16. Find the value of a and b. if
5 2
5
5 2
a b
+
= +
- 17. Plot the point (x, y) given in the following table on the plane, choosing suitable units of
distance on the axes.
x -2 -1 0 3 
y 4 3 -0.25 -1 
18. Evaluate 103 X 107 without multiplying directly.
19. A triangle and a parallelogram have the same base and the same area. If the sides of the
triangle are 26cm, 28cm and 30cm and the parallelogram stands on the base 28cm, find the
height of the parallelogram.
20. In the given figure, PQ = PS, PR = PT and QPS RPT ? = ? . Prove that QR = ST.
Section – D 
21. If two lines intersect each other, then the vertically opposite angles so formed are equal.
Prove this statement.
22. (a) Expand using identity
3
2 ) ( 3 a b +
(b) Evaluate 
3/2
25
16
- ? ?
? ?
? ?
23. Factorise
3 2
3 9 5 x x x - - - using factor theorem.
24. If a transversal intersects two lines such that the bisectors of a pair of corresponding angles
are parallel, then prove that the two lines are parallel. (Refer to the figure given below)
25. In , 84 PQR P ? ? = ° and 44 PQR ? = ° . If QO and Ro are the bisectors of PQR ? and PRQ ?
respectively, find ORQ ? and QOR ?
26. Amit was facing some difficulty in simplifying
7 4 3
7 4 3
- +
. His classmate Priya gave him a clue 
to rationalize the denominator for simplification, Amit simplified the expression and 
thanked Priya for his goodwill. How did simplify 
7 4 3
7 4 3
- +
? What value does it indicate? 
27. Factorise
(a) 
3 3
8 27 125 90 x y xy + + - using identity.
(b) Write a trinomial in 2 variables.
28. Express 0.235 in the form
p
q
, p and q are integers and 0 q ? .
29. (a) Find the remainder when
4 3 2
3 1 x x x x + - + + is divided by x + 1
(b) Factorise:
3 2
27 125 135 225 a a a - - +
30. In PQR ? , right angled at R, O is the mid-point of hypotenuse PQ. R is joined to O and
produced to a point S such that RO = OS and S is joined to the point Q. Prove that-
(i) POR QOS ? ? ?
(ii) 90 SQR ? = °
(iii) SQR QPRQ ? ? ?
31. The side BC of ABC ? is produced to a point D. If the bisectors of ABC ? and ACD ? meet at
point E, then prove that
1
2
BEC BAC ? = ? .