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SAMPLE PAPER FOR SUMMATIVE ASSESSMENT – I, 2015

Class – IX

Sub - MATHEMATICS Time Allowed: 3 hours Maximum Marks: 90

General Instructions:

All questions are compulsory.

1.

The question paper consists of 31 questions divided into four sections A, B, C and D.

2.

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 comprises

of 11 questions of 4 marks each.

There is no overall choice in this question paper.

3.

4. Use of calculator is not permitted.

SECTION-A

Question numbers 1 to 4 carry one mark each

2/3

1/5

Q.1.

Simplify :

3

3 .

9

5

10

Q.2.

Find the degree of polynomial x

x

3x

6.

Q.3.

The angles measure (30a) and (1252 a) of two angles are supplement of each other.

Find the value of a.

Q.4.

In which quadrants the points A ( 10, 10) and B ( 5, 1) lie ?

SECTION-B

Question numbers 5 to 10 carry two marks each.

1

Q.5.

Insert three rational numbers between

and 1.

2

2

Q.6.

Factorise : 3x

10x 3

In the figure, if ABDACE, then prove that ABAC.

Q.7.

Q.8.

Does Euclid’s fifth postulate imply the existence of parallel lines ? Explain.

2

Q.9.

If area of a right angled triangle is 240 m

and side other than hypotenuse is 30 m, find the

perimeter of the triangle.

Q.10. Given a point X (4, 0), plot two points Y and Z on the graph paper so that XYZ is an isosceles

triangle.

SECTION-C

Question numbers 11 to 20 carry three marks each.

3

1

If x2 3 , find

x

Q.11.

.

x

1 4

/

x

256

64

x

Q.12. If

2

,

find the value of x .

81

9

3

Show that 1 and 4 are zeroes of the polynomial x

13x12. Also, find the third zero of the

Q.13.

polynomial.

1

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Parent category: Miscellaneous