Mathematics Past Year Paper SA-1(Set-2)- 2014, Class 9, CBSE Class 9 Notes | EduRev

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Summative Assessment-1 2014-2015 
 Mathematics 
Class – IX 
 
 Time allowed: 3:00 hours                                Maximum Marks: 90 
 
 General Instructions: 
a) All questions are compulsory. 
b) Draw neat and labelled figure wherever necessary to explain your answer. 
c) Question No. 1 to 4 are very short type questions, carrying 1 mark each. 
d) Question No. 5 to 10 are of short answer type questions, carrying 2 marks each. 
e) Question No. 11 to 20 carry 3 marks each. 
f) Question No. 21 to 31 carry 4 marks each. 
 
 
Section A 
1. Give an example of irrational number. 
2. Write degree of the following polynomial 
3 2
5 4 7 3 x x x + + = 
3. Write any one postulate of Euclid. 
4. In ABC ? BC = AB and 80 B ? = ° find A ? 
 
Section B 
5. Rationalize the denominator 
1
5 2 - 
6. Find value of P(2) for given polynomial 
3 2
( ) 2 3 P y y y y = + - + 
7. Angles of a triangle are in the ratio of 3:2:4 find the smallest angle of triangle. 
8. Find the area of equilateral triangle of side 10 cm. 
9. Compute DCE ? , If AB CD 
 40 52 DCE BAE ? = °? = ° in figure. 
 
10. If a point C lies between two points A and B such that AC = BC, then prove that 
1
2
AC AB = . 
Explain by drawing the figure. 
 
Section C 
11. Locate 5 on the number line. 
Page 2


 
 
 
 
Summative Assessment-1 2014-2015 
 Mathematics 
Class – IX 
 
 Time allowed: 3:00 hours                                Maximum Marks: 90 
 
 General Instructions: 
a) All questions are compulsory. 
b) Draw neat and labelled figure wherever necessary to explain your answer. 
c) Question No. 1 to 4 are very short type questions, carrying 1 mark each. 
d) Question No. 5 to 10 are of short answer type questions, carrying 2 marks each. 
e) Question No. 11 to 20 carry 3 marks each. 
f) Question No. 21 to 31 carry 4 marks each. 
 
 
Section A 
1. Give an example of irrational number. 
2. Write degree of the following polynomial 
3 2
5 4 7 3 x x x + + = 
3. Write any one postulate of Euclid. 
4. In ABC ? BC = AB and 80 B ? = ° find A ? 
 
Section B 
5. Rationalize the denominator 
1
5 2 - 
6. Find value of P(2) for given polynomial 
3 2
( ) 2 3 P y y y y = + - + 
7. Angles of a triangle are in the ratio of 3:2:4 find the smallest angle of triangle. 
8. Find the area of equilateral triangle of side 10 cm. 
9. Compute DCE ? , If AB CD 
 40 52 DCE BAE ? = °? = ° in figure. 
 
10. If a point C lies between two points A and B such that AC = BC, then prove that 
1
2
AC AB = . 
Explain by drawing the figure. 
 
Section C 
11. Locate 5 on the number line. 
 
 
 
 
12. Express 0.57 in form of 
p
q
 where p and q are integers and 0 q ? 
13. Find the value of k if (x – 3) is a factor of 
3 2
4 3 4 x x x k + - + 
14. Find the remainder obtained on dividing P(x) = 
3
1 x + by x + 1 (Long Division) 
15. Prove that angles opposite to equal sides of an isosceles triangle are equal. 
16. In given figure AB PQ 
 find x and y. 
 
17. Plot in order the points (-6, 9), (7, 9), (-2, 0) and (3, 0) and name the figure formed. 
18. Prove that in a right angled triangle hypotenuse is the longest side. 
19. In which quadrant or on which axis do each of the pts. 
(-2, 4), (3, -1), (-1, 0), (1, 2), (-3, 5), (5, 0) lie? 
20. A park in shape of a quadrilateral ABCD has 90 C ? = ° , AB = 9m, BC = 12 m, CD = 5m and AD 
= 8m. How much area does it occupy? 
 
Section D 
21. On her birthday Radha distributed chocolates in an orphanage. The number of chocolates she 
distributed is given by  
(5 11)(5 11) + - 
a) Find number of chocolates. 
b) Write moral values depicted here by Radha. 
22. (a) Write two rational number between 
3
6
 and 
4
7
 
(b) Simplify 
2 1
3 5
2 2 × 
23. Factorise 
3 2
23 142 120 x x x - + - . 
24. (a) What must be added to 
3 2
3 4 13 x x x - + - to obtain a polynomial which is exactly 
divisible by (x – 3) 
(b) Give one example of quadratic polynomial 
25. (a) Without actually calculating the cubes find value of  
3 3 3
( 12) 7 5 - + + . Write identify use. 
(b) Evaluate using identify 
3
(99) 
26. (a) What are the possible expressions for the dimensions of the cuboid whose volume is 
2
7 56 105 x x - + cubic units and value of x > 5. 
(b) Evaluate using identity 95 96 × 
Page 3


 
 
 
 
Summative Assessment-1 2014-2015 
 Mathematics 
Class – IX 
 
 Time allowed: 3:00 hours                                Maximum Marks: 90 
 
 General Instructions: 
a) All questions are compulsory. 
b) Draw neat and labelled figure wherever necessary to explain your answer. 
c) Question No. 1 to 4 are very short type questions, carrying 1 mark each. 
d) Question No. 5 to 10 are of short answer type questions, carrying 2 marks each. 
e) Question No. 11 to 20 carry 3 marks each. 
f) Question No. 21 to 31 carry 4 marks each. 
 
 
Section A 
1. Give an example of irrational number. 
2. Write degree of the following polynomial 
3 2
5 4 7 3 x x x + + = 
3. Write any one postulate of Euclid. 
4. In ABC ? BC = AB and 80 B ? = ° find A ? 
 
Section B 
5. Rationalize the denominator 
1
5 2 - 
6. Find value of P(2) for given polynomial 
3 2
( ) 2 3 P y y y y = + - + 
7. Angles of a triangle are in the ratio of 3:2:4 find the smallest angle of triangle. 
8. Find the area of equilateral triangle of side 10 cm. 
9. Compute DCE ? , If AB CD 
 40 52 DCE BAE ? = °? = ° in figure. 
 
10. If a point C lies between two points A and B such that AC = BC, then prove that 
1
2
AC AB = . 
Explain by drawing the figure. 
 
Section C 
11. Locate 5 on the number line. 
 
 
 
 
12. Express 0.57 in form of 
p
q
 where p and q are integers and 0 q ? 
13. Find the value of k if (x – 3) is a factor of 
3 2
4 3 4 x x x k + - + 
14. Find the remainder obtained on dividing P(x) = 
3
1 x + by x + 1 (Long Division) 
15. Prove that angles opposite to equal sides of an isosceles triangle are equal. 
16. In given figure AB PQ 
 find x and y. 
 
17. Plot in order the points (-6, 9), (7, 9), (-2, 0) and (3, 0) and name the figure formed. 
18. Prove that in a right angled triangle hypotenuse is the longest side. 
19. In which quadrant or on which axis do each of the pts. 
(-2, 4), (3, -1), (-1, 0), (1, 2), (-3, 5), (5, 0) lie? 
20. A park in shape of a quadrilateral ABCD has 90 C ? = ° , AB = 9m, BC = 12 m, CD = 5m and AD 
= 8m. How much area does it occupy? 
 
Section D 
21. On her birthday Radha distributed chocolates in an orphanage. The number of chocolates she 
distributed is given by  
(5 11)(5 11) + - 
a) Find number of chocolates. 
b) Write moral values depicted here by Radha. 
22. (a) Write two rational number between 
3
6
 and 
4
7
 
(b) Simplify 
2 1
3 5
2 2 × 
23. Factorise 
3 2
23 142 120 x x x - + - . 
24. (a) What must be added to 
3 2
3 4 13 x x x - + - to obtain a polynomial which is exactly 
divisible by (x – 3) 
(b) Give one example of quadratic polynomial 
25. (a) Without actually calculating the cubes find value of  
3 3 3
( 12) 7 5 - + + . Write identify use. 
(b) Evaluate using identify 
3
(99) 
26. (a) What are the possible expressions for the dimensions of the cuboid whose volume is 
2
7 56 105 x x - + cubic units and value of x > 5. 
(b) Evaluate using identity 95 96 × 
 
 
 
 
27. Prove that “Two triangles are congruent. If two angles and the included side of one triangle 
are equal to two angles and the included side of other triangle”. 
28. In ABC ? the bisector of B ? and C ? intersect each other at point O. 
Prove that 
1
90
2
BOC A ? = ° + ? 
  
29. In figure BE is bisector of ABC ? and CE is bisector of exterior angle ACD ? . 
Prove that 
1
2
BEC A ? = ? 
  
30. It is given that 64 XYA ? = ° and XY is produced to point P. draw a figure from the given 
information. If ray YQ bisects ZYP ? find XYQ ? and reflex QYP ? . 
31. If PQ ST 
 , 110 PQR ? = ° and 130 RST ? = ° . 
Find QRS ?