10th Class Math Regular Previous Paper 2017 Jkbose Jammu PDF Download
10th Class Math Regular Previous Paper 2017 Jkbose Jammu PDF Download
Note:- All questions are
compulsory.
Diagrams whenever
necessary should be neat and accurate
Q1.Fill in the blanks:
(i)
The
HCF of 510 and 92 is ………………
(ii) The 10th term of the A.P
2, 7, 12 ……. Is ………
(iii)
The zero’s of polynomial x2(square)-9 are……………
(iv)
The bisector of 90 degree angle is ……….
(v) Probability of a sure event is …….
Q2.Find the distance between the
point (-5, 7) and (-1, 3).
Q3.TP and TQ are the tangents to a
circle with centre O, so that angle POQ = 110 degree. Find angle PTQ.
Q4.If sec 4 A = cosec (A-20),
where 4A is an acute angle, find the value of A.
Q5.Use Euclid ’s division algorithm to find the HCF
of 87 and 255.
Q6.Find the 31st term of an AP
whose 11th term is 38 and 16th term is 73.
Q7.Solve the linear equation by
the cross-multiplication method:
x -
3y = 7
3x
- 3y = 15
Q8.Five year ago, Nuri was thrice
as old as Son. Ten years late Nuri will be twice as old as Soun. How old are
Nuri and Sonu?
Q9.Divide 2t4 + 3t3
– 2t2 – 9t – 12 by t2 – 3
Q10.
A bag
contains lemon flavoured candies oly. Sara takes out one candy without looking
into bay. What is the probability that she takes out:
(i)
An orange flavoured candy
(ii) A lemon flavoured
candy?
Q11.
Find the roots of the quadratic equation 2x2
– 7x +3 = 0, if they exist by the method of quadratic formula.
Or
Sum of the areas of two squares is
468 m square. If the difference of their perimeters is 24 m, find the sides of
the two squares.
Q12.
Find the roots of 2x2 – x + 1/8 = 0 by
the method of factorization.
Or
The product of two consecutive
positive integers is 306. Find the integers.
Q13.
E and F are points on the sides PQ and PR
respectively of Triangle PQR where PE = 3.9 cm, EQ = 3cm, PF = 3.6 cm and FR =
2.4 cm. Prove that EF parallel QR.
Or
In figure, if triangle ABE =
triangle ACD, show that triangle similar to triangle ABC'
Q14.Diagonals of a trapezium ABCD
with AB || DC intersect each other at the point O. If AB = 2 CD. Find the ratio
of the areas of triangle AOB and COD.
Or
ABC is an equilateral triangle of
side 2a. Find its altitude.
Q15.Find the area of a triangle
formed by the points A (2, 3), B(-1, 0) and C (2,-4).
Or
Find the co-ordinates of a point
A, where AB is the diameter of a circle whose centre is (2, -3) and B is (1,
4).
Q16.IF sin A = ¾, calculate cos A
and tan A.
Or
Prove that identity:
Q17.The shadow of a tower standing
on a level ground is found to be 40 m longer. When the sun’s altitude is 30
degree than when it is 60 degree. Find the height of the tower.
Or
Evaluate:
Q18.Two concentric circles are of
radii 5 cm and 3 cm. Find the length of the chord of the larger circle, which
touches smaller circle.
Or
Prove that the lengths of tangents
drawn from an external point to a circle are equal.
Q19.Draw a triangle ABC with side
BC = 7 cm, Angle B = 45 degree, angle A = 105 degree. Then construct a triangle
whose are 4/3 time the corresponding sides of a triangle ABC. (Write the steps
of construction.)
Or
Draw a circle of radius 6 cm. From
a point 10 cm away from the centre, construct the pair of tangents to the
circle and measure their lengths. (Write the steps of construction.)
Q20.A toy is in the form of a cone
of radius 3.5 cm mounted on a hemisphere of same radius. The total height of
the toy is 15.5 cm. Find the totl surface area of the toy.
Or
A cap is shaped like the frustum
of a cone. If its radius on the open side is 10 cm radius at the upper base is
4 cm and its slant height is 15 cm. Find the area of material used for making
it.
Ek like toh banta hai
OR
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