Mathematics - Class X Question Paper - Central Board Of Secondary Education Page 19
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33Sample Question Paper-II
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 Sections 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.
Sove the following system of equations graphically
5x -y = 7
x - y = -1
Q2.
Find the Arithmetic Progression whose third term is 16 and the seventh term exceeds
its fifth term by 12.
∠
Q3.
ABD is a triangle in which
DAB = 90°. AC is drawn perpendicular from A to DB.
Prove that :
AD² = BD x CD
Q4.
A loan of Rs. 48,800/- is to be paid back in three equal annual instalments. If the rate of
interest is 25% per annum compounded annually, find the instalment.
Q5.
A watch is available for Rs. 970 cash or Rs. 210 as cash down followed by three equal
monthly instalments. If the rate of interest is 16% per annum, find the monthly instalment.
Q6.
Construct the pair of tangents drawn from a point, 5cm away from the centre of a circle
of radius 2cm. Measure the lengths of the tangents.
Q7.
A solid metallic cylinder of radius 14cm and height 21 cm is melted and recast into 72
equal small spheres. Find the radius of one such sphere.
154
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