Class 10 maths PAPER PRE BOARD

1. 1. The shadow of a tower standing on a level ground is found to be 40
m longer when Sun's altitude is 30° than when it was 60°. Find the
height of the tower.
2. The length of the shadow of a tower standing on level plane is found
to be metres longer when the sun's altitude is 30° than when it
was 45°. Prove that the height of tower is (√ ) metres.
3. The angle of elevation of a cloud from a point 20 m above a lake
point A is 30°. if the angle of depression of its reflection from point A
is 60° then find the distance cloud from a point A
4. A man standing on the deck of a ship, which is 10m above water
level. He observes the angle of elevation of the top of a hill is 60° and
the angle of depression of the base of the hill is 30°. Calculate the
distance of the hill from the ship and the height of the hill.
5. If angle of elevation of sun changes from 30° to 60°, then at these
angles of elevation. Find the difference in the length of shadow of 15
m high pillar.
6. In figure, ABCD is a square of side 14 cm. Semi-circles are drawn
with each side of square as diameter. Find the area of the shaded
region.
7. All the vertices of a rhombus lie on a circle. Find the area of rhombus,
if the area of circle is 1256 cm²
8. In figure, ABCD is a square of side 7 cm. DPBA and DQBC are
quadrants of circles, each of radius 7 cm. Find the area of the shaded
Class 6 Sub. MathsSub. Math's
M.M. 50 Time 150 Mins
Nawal Public Sr. School, Chirawa
Pre-Board Test
Session: 2019-2020

2. region.
9. Find the area of the shaded region in given figure, where ABCD is a
square of side 28 cm
10. How many cones of 3cm radius and 6 cm in height are formed by
melting a metallic sphere of radius 9 cm?
11. The diameter of a metallic sphere is 6cm. It is melted and drawn into
a wire of length 36m find its radius.
12. The ratio of surface areas of two spheres is 4:9; find the ratio of their
volumes.
13. If both ends of hollow cylinder are open. Its height is 20 cm and
internal and external radius is 26 cm and 30 cm respectively. Find the
volume of this hollow cylinder.
14. If ( ) , then what is the probability of “not A”?
15. A coin is tossed three times. Find the probability to get head or tail
alternately.
16. Two player Ram and Shyam play a game of chess. It is given that
probability that Ram wins the match is . What is the probability of
winning of Shyam?
All the BEST”””
Do not worry about your difficulties in Mathematics. I can assure you mine
are still greater. Albert Einstein