Mathematics - Class X Question Paper - Central Board Of Secondary Education Page 4

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SAMPLE QUESTION PAPER-I
Class X
Subject : Mathematics
Time : 3 Hours
Max Marks : 100
General Instructions :
1.
All questions are compulsory.
2.
The question paper consists of 25 questions divided into three sections A, B and C.
Section A contains 10 questions of 3 marks each, Section B is of 10 questions of 4
marks each and Section C is of 5 questions of 6 marks each.
3.
There is no overall choice. However, internal choice has been provided in two questions
of three marks each, two questions of four marks each and two questions of six marks
each.
4.
In question on construction, the drawing should be neat and exactly as per the given
measurements.
5.
Use of calculators is not permitted. However, you may ask for Mathematical tables.
SECTION A
Q1.
Solve the following system of equations :
15x + 4y = 61
4x + 15y = 72
Q2.
Reduce the following rational expression to its lowest terms :
2
3
x
+ 3x + 9
x
— 27
÷
2
2
x
— 25
(x
+ 3x — 10)
Q3.
PQ and RS are two parallel chords of
O
a circle and the lines RP and SQ meet
at O on producing (as shown in the
given figure)
P
Q
Prove that OP=OQ
R
S
139

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