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Class X MATHEMATICS Class Practice Sheet
Pre-First Term – Mixed Practice
1.
Find the ratio of LCM and HCF of the least composite and the least
prime numbers
2.
Find the value of k for which the lines 5x+7y=3 and 15x + 21y = k
coincide
3.
Two fair coins are tossed. What is the probability of getting at the most
one head?
4.
If 2sin 2  − cos2  = 2, find the value of 
5.
What are the prime factors of the denominator of a rational number
with the decimal expansion 44.123
6.
In ΔABC right angled at B, if tan A= √3, then find cos A cos C- sin A
sin C
4sin  − 3cos 
4sin  + 3cos 
7.
If 4 tan  = 3 , then find the value of
8.
If one equation of a pair of dependent linear equations is –5x + 7y =
2. The second equation can be (CHOOSE ONE OPTION- WITH REASON)
9.
a) 10x+14y +4 = 0
b) –10x –14y+ 4 = 0
c) –10x+14y + 4 = 0
d) 10x – 14y = –4
A letter of English alphabets is chosen at random. What is the
probability that it is a letter of the word ‘MATHEMATICS
10. If tan  + cot  = 2, then find the value of tan 20  + cot 20 
11. Solve: 217 x + 131y = 913, 131x + 217 y = 827
12. Two vertical poles of different heights are standing 20m away from
each other on the level ground. The angle of elevation of the top of the
first pole from the foot of the second pole is 60° and angle of elevation
of the top of the second pole from the foot of the first pole is 30°. Find
the difference between the heights of two poles. (Take √3 = 1.73)
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