Sister Nivedita School: I. Solve The Following Questions: 3 X 1 3
Sister Nivedita School: I. Solve The Following Questions: 3 X 1 3
Sister Nivedita School: I. Solve The Following Questions: 3 X 1 3
PRACTICE TEST - 1
CLASS – X
SUBJECT – MATHEMATICS MARKS:50
8. Evaluate: .
9. In the figure, a circle touches all the four sides of a quadrilateral ABCD whose
sides are AB=6cm, BC=9cm and CD=8cm. Find the length of side AD.
III. Answer the following: 6x3=18
10. A memento is made as shown in figure. Its base PBCR is silver plated from
the front side @ 20 per cm2. Find the total cost of silver plating.
11. A heap of wheat is in the form of a cone of diameter 9m and height 3,5m. How
much canvas cloth is required to just cover the heap? (use =3.14)
12. Prove that the sum of the squares of the sides of a rhombus is equal to the
sum of the squares of its diagonals.
(or)
Diagonals AC and BD of a trapezium ABCD with AB DC intersect each
other at the point O. using a similarity criterion for two triangles, show that
13. Prove that the lengths of tangents drawn from an external point to a circle are
equal.
(or)
In two concentric circles, a chord of length 24cm of larger circle becomes a
tangent to the smaller circle whose radius is 5cm. Find the radius of the large
circle.
14. Draw a pair of tangents to a circle of radius 5cm which are inclined to each
other at an angle of 450.
15. A pole 5m high is fixed on the top of a tower. The angle of elevation of the top
of the pole observed from a point ‘A’ on the ground is 60 0 and from the same
point the angle of elevation of the top of the tower is 450. Find the height of
the tower. .
IV. Answer the following: 3x5=15
16. State and prove basic proportionality theorem.
(or)
State and prove Pythagoras theorem.
17. Prove that opposite sides of a quadrilateral circumscribing a circle subtend
supplementary angles at the centre of the circle.
marigold10maths@gmail.com - Srihari
tjyothi21@gmail.com - - T Jyothi