Monday, 16 April 2018

Some Important Two Marks Questions For 10Th Class Students in Mathematics Paper-1


Some Important Two Marks Questions For 10Th Class Students in Mathematics Paper-1

1. Show that 5 + 6 is irrational number by using indirect method.
2. If n(A) = 5, n(B) = 6 and A, B are disjoint sets then find the value of n(AB)
3. If 5x + 3y = 11 and 10x + 6y = 15 are parallel lines. Justify.
4. Write the formula of sum of 'n' terms in Arithmetic progression. Explain terms.
5. Sides of a Right angled triangle are 5x cm, (3x1) cm and Area of that triangle is 60 cm2 then x =?
6. Two vertices of a triangle are (1, 4) and (1, 5), its centroid is (0, 5) then find the third vertex.
7. Find the L.C.M. and H.C.F. of 12, 18, and 102 by prime factorization method.
8. Can 19 cm and 8 cm be the dimensions of a rectangle whose perimeter is 54 cm and whose length is 3 more than twice its breadth? Explain.
9. Show that the points P (8, 0), Q (0, 0) and R (8, 0) are collinear
10. Find two consecutive odd positive integers, sum of whose squares is 394.
11. Write a quadratic polynomial with 2/3 and 2 as its zeros
12. Which term of the Arithmetic Progression 3, 8, 13, 18... is 128.
13. Draw Venn diagrams for i) AB such that AB = B ii) AB
14. Give examples of polynomials p(x), g(x), q(x) and r(x), which satisfy the division algorithm and
i) deg. p(x) = deg. q(x)
ii) deg. q(x) = deg. r(x)
15. The larger of two complementary angles exceeds the smaller by 16°, find the angles.
16. "Rohan's mother is 26 years older than him. The product of their ages after 3 years will be 360 years. We need to find Rohan's present age". Represent the situation in the form of quadratic equation.
17. Find the volume and total surface area of a hemisphere of radius 4.2 cm.
18. Find the L.C.M. & G.C.D. of 10, 15 and 25 by using prime factors product method.
19. If log x = 2 log 5 + 1/3log 27 -log 3 then find x.
20. If A = {x/x N, 4 x 8}, B = {x/x N, x 6} then find AB
21. If α, β, γ are the zero's of x3-5x2-2x + 24 then find the values of α+ β+ γ & αβγ
22. Write 2 examples of polynomial which is having only one zero.
23. If A = {x/x primes, x < 10}, B = {x/x primes, x < 30}, find AB and AB.
24. If a rectangular play ground breadth is 6 less than its length and half perimeter is 100 m. then find length & breadth.
25. Solve x+6/x = 5 (x 0)
26. If 5x2+ 10x + 15 is divided by 5x + 6 then remainder is 1? Is it true or false, Justify?
27. Ramya said that area of triangle is '0' whose vertices of a triangle are (7, 2) (5, 1) (3, 4). Justify your answer.
28. Is multiples of 5 from below 100 natural numbers is Arithmetic Progression? Find its sum.
29. Draw Venn Diagram A(AB)
30. P={x/x = n2, n N, n <3} Q = {x/x = n2+ 1, n N, n <3} then, how do you say about P & Q?
31. Can we find the numbers, if two numbers LCM is 75 & HCF is 25? Justify.
32. Divide 2x2+ 7x + 4 with (x 1). Write the quotient.
33. Solve the quadratic equation x25x + 6 = 0 by the method of completing the square.
34. In Arithmetic progression, the difference between 1 & 6th terms is 10. Then what is the common difference. Write the progression.
35. Find L.C.M and H.C.F of 16, 25, 39 by prime factorization method.
36. Use Euclid's division lemma to show that every odd integer is of the form 2p + 1.
37. Check whether 15n ends with zero for any natural number 'n'.
38. Show that 6n never ends with zero for any natural number 'n'.
39. Write the subsets of {2, 3}
40. Write the subset of {p, q, r}
41. List all the subsets of {1, 5, 25, 125}
42. Draw the Venn diagram to represent two non disjoint sets.
43. A = {2, 3, 5, 7}, B = {7, 8, 9, 10}
Find i) A B ii) A B
44. If 5 is one zero of the polynomial x2 8x + k. Find the value of k.
45. If 3 and 4 are the zeroes of the polynomial x2 kx + l. Find the values of k and l.
46. Write a quadratic polynomial whose sum of the zeroes and the products of the zeroes are equal.
47. Draw the graph of the linear polynomial 2x + 5 and find its zero from the graph.
48. Find the zeroes of the quadratic polynomial x2 5x + 6 and verify the relationship between its zeroes and coefficient.
49. The cost of 12 chairs and 3 tables is Rs.1500 and 8 chairs and 5 tables is Rs.2500. Express the information as a pair of linear equations in two variables and solve it by elimination method.
50. If 5x + 2y = 10 and 15x + ky = 20 represent parallel lines. Find k.
51. .How many three digit numbers are divisible by 7
52. Solve 3x y = 40 and 4x 2y = 50
53. Find the volume of largest right circular cone that can be out of a cube whose edge is 7 cm.
54. Find the L.C.M and H.C.F of 12, 18, and 102 by prime factorization method.
55. Show that 19 cm and 8 cm are the dimensions of a rectangle whose perimeter is 54 cm and whose length is 3 more than twice its breadth.
56. Write a quadratic polynomial with 2/3 and 2 as its zeros
57. Use Euclid's division algorithm find the H.C.F. of 847, 2160.

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