Sample
(Representative)
Q. 1 If x + y = 4 and x – y = 8, then x = and y =
Q. 2 A sum of Rs. 400 is to be used to give four
cash prizes
to students of a school for their
overall performance. If each prize is Rs. 20
less
than its preceding prize, find the value of each
prize.
Q. 3 The product of two numbers is 108. If their H.C.F. is
3, then their LCM is ____and GCF
is ____.
Q. 4 One card is drawn from a well shuffled deck
of 52
cards.
Find the probability of getting
i) a king of red color
ii) a black card.
Q. 5 Two dice are thrown simultaneously. Find
the probability
of
i) the sum of the numbers appearing on the
top of the two dice being 6.
ii) the numbers appearing on the top of both
dice being same.
Q. 6 Two vertical poles of heights 6m and 11m
stand on a
plane ground. The distance between
their feet is 12m. A rope is tied tightly
from the
top of one pole to the top of the other. Find the
length of the rope.
Q. 7 From the top of a 9 metres high building AB,
the angle of elevation of
the top of a tower CD is
30º C and the angle of depression of the foot of
the
tower is 60º. Find the height of the tower?
Q. 8 The radius of a circle is 21 cms .
Therefore
its circumference is _________cms.
Q. 9 A vessel is in the form of a hollow cylinder
mounted on
a hollow hemisphere. The diameter
of the hemisphere is 14 cms, and the
total height vessel is 13 cms. Find the outer surface area
of the vessel?
Q. 10 If cosec 18º = sec A, then the measure of A is
___________.
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