# Sample Maths Paper For Summative Assessment

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 (30a) and (1252 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 ABDACE, then prove that ABAC.
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 x2 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
13x12. Also, find the third zero of the
Q.13.
polynomial.
1