Cbse class 10 maths sample paper term 2 model 2 - http://cbse.edurite.com/cbse-maths/maths-cbse-class-10.html

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MATHEMATICS
SAMPLE TEST PAPER (SEMSTER II)
CLASS X
Class:10 Max Mks:80
Time 3hrs No of pages: 3
General Instructions:
Ò All questions are compulsory.
Ò The question paper consists of 33questions divided into four sections - A, B, C and D.
Ò Section - A contains 8 questions of 1 mark each,
Ò Section B is of 9 questions of 2 marks each, Section C is of 10 questions of 3 marks each and
Ò section D is of 6 questions of 4 marks each.
Ò The drawing should be maintained as per the given measurements.
SECTION A
1. A tangent to a circle intersect at ___ points
a) 1 b)2 c)3 c)0
2. sin (900
-A) is
a) secA b) coseA c) tanA c) -secA
3. In a right triangle ABC, right angle at B, BC = 6cm and AB = 8cm. A circle is inscribed
in ∆ ABC. The radius of the circle is
a) 1cm b) 2cm c) 3cm c) 4cm
4. There are 4 ace in a deck. Let E be the event the card is an ace is
a)
5
3 b)
1
3 c)
2
3 c)
4
3
5. The mean of the distribution 7,8,10,19,15,10
a) 37.6 b) 32 c) 33.5 c) 34.6
6. cosec theta is not defined when theta is equal to
a) 900
b) 00
c) 600
c) 300
7. If 5 tan theta = 12 then
13sintheta
3 is
a) 2 b) 4 c) 12 c) 1
8. The area of circle that can be inscribed in square of side 8 cm is
a) 36π b) 26π c) 18π c) 56π
SECTION B
9. How many two digit numbers are divisible by 5
10. find the number of terms in series
3+5+7+.........624
11. Two circles touch externally. The sum of their areas is 150 π sq cm and the distance between the
centers is 16 cm. find the radii of the circles.

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12. A gulab jamun, contains sugar syrup upto about 50% of its volume. Find how much syrup
would be found in 55 gulab jamuns each shaped like a cylinder with two hemispherical ends.
The total length of it is 5cm and radius 1.8cm (Use π= 22/7).
13.
If tan A= cot B ,prove that A+B = 900
14. what is line of sight
15.
find the area of sector of a circle with radius 6 cm if the angle of the sector is 800
16. If the sides of a right angled triangle are x, x + 1 and x - 1, find the hypotenuse.
17.
find sin 450
+cos 590
SECTION C
18. Find the nth therm and 20th
term of AP 3,7,11,15
19. draw a circle and two lines parallel to a given line such that one is a tangent and other is secant.
20. s to the circle at P & Q intersect at point T. Prove that PQ & OT are right
bisectors of each other.
21. Find the area of the shaded region , where BACD id square of side 12 cm.
22. The perimeter of right ∆ is 80cm. Its hypotenuse is 45cm. Find the area of the ∆.
23. find the sum of all multiplies of 3 which are less thna50.
24. Prove that the parallelogram circumscribing a circle is a rhombus.
25. The following table gives the man power rate in a n company according to the age, find the
mean.

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26. Prove that (cosecA – sin A) (seca – cosA) =
1
tan
A+ cotA
27. Prove that
sintheta
(cottheta+ cosectheta) = 2+
sintheta
(cottheta− cosectheta)
SECTION D
28. The angles of the quadrilateral are in AP. If the smallest angle is150find the angles of the
quadrilateral.
29. Draw a right triangle in which the sides are 5 cm and 3 cm. Then construct another triangle
whose sides are
5
3 times the corresponding sides of the given triangle.
30. In two concentric circles with center O, PQ is diameter of outer circle & QS is the tangent line
to the inner circle touching it in R & outer circle in S. Find the length of PR, if radii of two
circles are 13 cm & 8 cm.
31. AB and C D area arcs of two concentric circles of radii 21 cm and 8cm and center O .IF angle
AOB = 300
, find the area of the shaded region.
32. In a triangle ABC show that sin2
A
2 +sin2
B+ C
2 = 1
33. The following distribution gives the daily income of 100 workers of a factory: