Monday, 16 April 2018

Some Important One Mark Questions For 10Th Class Students in Mathematics Paper-1


Some Important One Mark Questions For 10Th Class Students in Mathematics Paper-1

1. Write irrational number in between a & b (a, b are rational numbers).
2. A= {x/x multiples of 4}, B = {x/x factors of 4} then find the value of AB.
3. Navya said that (0, 5) is lie on X axis. Justify your answer.
4. Write the 10th term from last of 2, 8, 14, 20, ......, 80.
5. 5, −√5 are the zeroes of quadratic polynomial. Write the polynomial.
6. Solve 2x y=5 and 3x + 2y = 11 by substituting method.
7. ax2+ bx + c = 0 is quadratic equation. Then what is the nature of roots if b24ac > 0.
8. Write any two sets A and B such that AB = A.
9. If a, b and c are in Geometric Progression then comment on the roots of the quadratic equation ax2+ 2 bx + c = 0 (a 0)
10. For what values of 't' the pair of linear equations 5x + 2y + 3 = 0, 15x + 6y + t = 0 represent coincident lines.
11. Find the point of concurrence of the medians of a triangle whose vertices are A (2, 3), B (1, 0) &C (4, 2).
12. Write the formula to find nth term of an Arithmetic Progression and explain the terms.
13. Write a quadratic polynomial that has two terms and no real zeros.
14. If A = {0, 2, 4}, B = {3, 4} then find n(A U B).
15. Is 7 ×3 ×2 + 3 is composite number? Justify.
16. Write A & B sets, A-B B -A.
17. Verify 1/2is zero of polynomial x2-x + 1/4
18. Sum of the zero's = 4, product of the zero's is 3, write quadratic polynomial.
19. Rajitha told that x2+1/x+ 1 is not a polynomial? Justify
20. Find the value of 1/2{log 16 + log 625}.
21. How do you say about AB, if A = {2, 4, 6, 8}, B = {1, 3, 5, 7}.
22. Find the area of triangle whose vertices A(0, 5), B(4, 0) including origin.
23. Write the Geometric Progression if a = 128, r = 1/4
24. Check whether 0 & 2 are the zeroes of the polynomial p(x) = 4x2+ 8x.
25. 36 members of Tenth class students are participated in Mathematics quiz competition. If the number of girls is 10 more than the number of boys. Write the equations.
26. Find two consecutive positive integers, sum of whose squares is 85.
27. 1 be the zero of quadratic polynomial kx25x + 7 then find k.
28. How do you say, 2x + 3y + 5 = 0 & x + 5y 2 = 0 pair of linear equations is intersecting lines?
29. Write A = {3, 7, 12, 19, .....} in set builder form.
30. Harika said that roots of a quadratic equation x25x + 25 = 0. Justify.
31. Write any two points lie in the X -axis.
32. Write the formula of nth term in Geometric progression and explain
33. Write 2 log 3 + 5 log 2 3 log 5 as single logarithm
34. Express 2580 as the product of prime numbers.
35. Is 5 ×7 ×11 + 5 ×7 ×13 a composite number?
36. Shriya says the number whose prime factorization is 23×34×55×76 has three zeores at its end. Do you agree? Explain.
37. Write any two rational and two irrational numbers between 3 and 5.
38. Write a finite and an infinite set.
39. Write two sets A and B such that AB = A Why do you think AB is different from B A where A & B are two sets
40. When are the two sets AB and B A equal?
41. AB = {2, 3, 4, 5}, AB = {4, 5}, B = {3, 4, 5} then find A
42. Is PQ Subset PQ? Explain
43. Write an example for a null set.
44. If n(A) = 15, n(B) = 12, n(AB) = 3 then find n(AB)
45. If n(AB) = 10, n(B A) = 12, n(AB) = 5 then find n(AB).
46. n(AB) is always greater than n(AB)? Do you agree? Explain
47. Write any two disjoint sets.
48. Draw the Venn diagram for two nondisjoint sets.
49. Write a quadratic polynomial with equal zeroes.
50. Write a polynomial of degree 5 with 3 terms.
51. Write a quadratic polynomial with two terms and no real zeroes.
52. Write a quadratic polynomial whose zeroes are 2 and 7.
53. Write a quadratic polynomial whose sum of the zeroes is 3 and product of the zeroes is 2.
54. If p(x) = x27x + 12 find p(1), p(2).
55. Write a cubic polynomial with two terms and one zero.
56. State division algorithm of polynomials.
57. Write a polynomial of degree 10 with two terms.
58. Write the relation among the coefficient of pair of linear equations in two variables
a1x + b1y + c1= 0 and a2x + b2y + c2= 0.
i) If they are dependent
ii) If they are consistent
iii) If they are inconsistent
59. Find the number of zeroes of the quotient when 2x45x3+ 8x2+ 3x + 1 is divided by x2+ x 1 (Find it without division).
60. Solve the following pair of linear equations using elimination method 2x + y = 3 and x y = 1.
61. The lateral surface area of a cylinder is equal to the curved surface area of a cone. If the radius be the same, find the ratio of the height of the cylinder and slant height of the cone.
62. Write an equation of line geometrically intersects to the line 5x + 6y + 3 = 0.
63. Find the total surface area of sphere with diameter 14 cm.
64. Write 5 log2 + 2 log3 as a single logarithm
65. Write any two sets A and B such that AB = A
66. If a, b and c are in Geometric Progression then comment on the roots of the quadratic equation ax2+ 2bx + c = 0 (a 0)
67. The radius of the base of a right circular cone is 3 cm and its slant height is 14 cm. Find its lateral surface Area.
68. Represent A(AB) through Venn diagram.
69. Write a cubic polynomial and create a question.
70. If A = {1, 2, 3,...}; B = {x/x is a composite numbers} then find A-B
71. Find the H.C.F. of 72 and 108 by prime factorization method.
72. If n(A) = 5, n(B) = 4, n (A B) = 7 then find n(A B)
73. If p(x) = x25x 6, find the values of p(2), p(3).
74. Find the value of 'k' for which the pair of equations 2x ky + 3 = 0, 4x + 6y5 = 0 represent parallel lines

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