Hello friend ...
Today's session by the class 10th mathematics practice paper for the Xth Examination.
So all important revision's questions for the exams..
Dear student any examination for practice/revision notes in daily visits to the practice session
Class 10 math practice Questions
Are here.....
Q.1 Find the HCF and LCM of 6, 72 and 120, using the prime factorisation method.
Q2. Use Euclid’s algorithm to find the HCF of 4052 and 12576.
Q.3 .Given that HCF (306, 657) = 9, find LCM (306, 657).
Q.4 Show that 5 – √3 is irrational.
Q.5 Find a quadratic polynomial, the sum and product of whose zeroes are - 3 and 2,
respectively
Q.6 If the zeroes of the polynomial x3- 3x2 + x + 1 are a – b, a, a + b, find a and b
Q.7 On dividing x3 – 3x2+ x + 2 by a polynomial g(x), the quotient and remainder were x – 2 and –2x + 4, respectively. Find g(x).
Q.8 The cost of 2 kg of apples and 1kg of grapes on a day was found to be ` 160. After a month, the cost of 4 kg of apples and 2 kg of grapes is ` 300. Represent the situation algebraically and geometrically.
Q.9. Half the perimeter of a rectangular garden, whose length is 4 m more than its width, is 36 m. Find the dimensions of the garden.
Q.10. The difference between two numbers is 26 and one number is three times the other then .Find them.
Q.11 Five years hence, the age of Jacob will be three times that of his son. Five years ago, Jacob’s age was seven times that of his son. What are their present ages?
Q12. A fraction becomes 1/3 when 1 is subtracted from the numerator and it becomes
¼ when 8 is added to its denominator. Find the fraction.
Q.13 The sum of the digits of a two-digit number is 9. Also, nine times this number is twice the number obtained by reversing the order of the digits. Find the number.
Q.14 A boat goes 30 km upstream and 44 km downstream in10 hours. In 13 hours, it can go 40 km upstream and 55 km down-stream. Determine the speed of the stream and that of the boat in still water.
Q.15 Solve the equation by elimination substitution. And cross multiplication,. Method.
1}. 3x – 5y – 4 = 0 and 9x = 2y + 7. 2} 6x + 3y = 6xy and 2x + 4y = 5xy
Q.16 The product of two consecutive positive integers is 306. We need to find the integers
Q17. Find the roots of the equation 2x2 – 5x + 3 = 0, by factorisation
Q18. The altitude of a right triangle is 7 cm less than its base. If the hypotenuse is 13 cm, find the other two sides.
Q19. Find the roots of 4x2+ 3x + 5 = 0 by the method of completing the square.
Q20. In a class test, the sum of Shefali’s marks in Mathematics and English is 30. Had she got 2 marks more in Mathematics and 3 marks less in English, the product of their marks would have been 210. Find her marks in the two subjects.
Q21. Find the values of k for each of the quadratic equations, so that they have two equal roots. (i) 2x2+ kx + 3 = 0. (ii) kx (x – 2) + 6 = 0
Q22. Find the 10th term of the AP : 2, 7, 12, . . .
Q23. . If the 3rd and the 9th terms of an AP are 4 and – 8 respectively, which term of
this AP is zero?
Q24. Find (i) given a = 5, d = 3, an= 50, find n and Sn
(ii) given an= 4, d = 2, Sn = –14, find n and a.
Q25. (I). Find the sum of the first 40 positive integers divisible by 6.
(ii). Find the sum of the first 15 multiples of 8.
Q26. Find the values of y for which the distance between the points P(2, – 3) and Q(10, y) is 10 units.
Q27. Find the coordinates of the point which divides the line segment joining the points (4, – 3) and (8, 5) in the ratio 3 : 1 internally.
Q28. Find the area of a triangle whose vertices are (1, –1), (– 4, 6) and (–3, –5).
Q29. find the value of ‘k’, for which the points are collinear. (i) (7, –2), (5, 1), (3, k)
Q30 Find the area of the quadrilateral whose vertices, taken in order, are (– 4, – 2), (–
3, –5),(3, – 2) and (2, 3).
Q31. In ∆ PQR, right-angled at Q, PR + QR = 25 cm and PQ = 5 cm. Determine the values of sin P, cos P and tan P.
Q32. Evaluate sin 60° cos 30° + sin 30° cos 60°
Q33. If sin 3A = cos (A – 26°), where 3A is an acute angle, find the value of A
Q34. If tan A = cot B, prove that A + B = 90°.
Q35. Prove that sec A (1 – sin A)(sec A + tan A) = 1.
Q36. Prove that (i) (sin A + cosec A)
2 + (cos A + sec A)2=7+tan2A+cot2
Q37. The shadow of a tower standing on a level ground is found to be 40 m longer when the Sun’s altitude is 30° than when it is 60°. Find the height of the tower.
Q38. A 1.5 m tall boy is standing at some distance from a 30 m tall building. The angle of elevation from his eyes to the top of the building increases from 30° to 60° as he walks towards the building. Find the distance he walked towards the building.
Q39. The angles of elevation of the top of a tower from two points at a distance of 4
m and 9 m from the base of the tower and in the same straight line with it are complementary.Prove that the height of the tower is 6 m.
Q40 Construct a triangle of sides 4 cm, 5 cm and 6 cm and then a triangle similar to it whose sides are 2/3 of the corresponding sides of the first triangle.
Q41. Draw a pair of tangents to a circle of radius 5 cm which are inclined to each other at an angle of 60°.
Q42. The cost of fencing a circular field at the rate of ` ₹24 per metre is ₹5280. The field is to be ploughed at the rate of ₹ 0.50 per m2 Find the cost of ploughing the field
Q43. The wheels of a car are of diameter 80 cm each. How many complete revolutions does each wheel make in 10 minutes when the car is travelling at a speed of 66 km per hour?
Q44. In a circle of radius 21 cm, an arc subtends an angle of 60° at the centre.
Find: (i) the length of the arc
(ii) area of the sector formed by the arc
(iii) area of the segment
formed by the corresponding chord
Q45. 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 total surface area of the toy
Q46. . A solid is in the shape of a cone standing on a hemisphere with both their radii being equal to 1 cm and the height of the cone is equal to its radius. Find the volume of the solid in terms of π
Q46. Metallic spheres of radii 6 cm, 8 cm and 10 cm, respectively, are melted to form a single solid sphere. Find the radius of the resulting sphere.
Q47. How many silver coins, 1.75 cm in diameter and of thickness 2 mm, must be melted to form a cuboid of dimensions 5.5 cm × 10 cm × 3.5 cm?
Q48. The slant height of a frustum of a cone is 4 cm and the perimeters (circumference) of its circular ends are 18 cm and 6 cm. Find the curved surface area of the frustum.
Q49. If x+1/x = 5 then find the value x2+ 1/x2
Q50. A box contains 3 blue, 2 white, and 4 red marbles. If a marble is drawn at random from the box, what is the probability that it will be
(i) white?
(ii) blue?
(iii) red
Download this pdf link...
1
2
3
DISCRIMINATE:_
Our team provides the education topic for the all basically satisfaction for the students....
Such as:-
MATHEMATICS
SCIENCE
SOCIAL SCIENCE
ENGLISH
Very mostly questions for 10 examination
ReplyDelete