SECTION – A<\/strong><\/p>\n Practice\u00a0MCQ Questions for Class 10 Maths With Answers<\/a><\/strong>\u00a0for 2020 Board Exams.<\/p>\n Question 1. Question 2. Question 3. Question 4. Question 5. Question 6. Question 7. Question 8. Question 9. Question 10. (11 – 15) Fill In the blanks:<\/p>\n Question 11. Question 12. Question 13. Question 14. Question 15. (16 – 20) Answer the following :<\/p>\n Question 16. Question 17. Question 18. Question 19. Question 20. SECTION – B<\/strong><\/p>\n Question 21. Question 22. Question 23. Question 24. Question 25. Question 26. SECTION C<\/strong><\/p>\n Question 27. Question 28. Question 29. Question 30. Question 31. Question 32. Question 33. Question 34. SECTION D<\/strong><\/p>\n Question 35. Question 36. Question 37. Question 38. Question 39. Question 40.
\nHCF of 168 and 126 is\u00a0 \u00a0[1]<\/strong>
\n(a) 21
\n(b) 42
\n(c) 14
\n(d) 18<\/p>\n
\nEmpirical relationship between the three measures of central tendency is\u00a0 \u00a0[1]<\/strong>
\n(a) 2 Mean = 3 Median – Mode
\n(b) 2 Mode = 3 Median – Mean
\n(c) Mode = 2 Mean – 3 Median
\n(d) 3 Median = 2 Mode + Mean<\/p>\n
\nIn the given figure, if TP and TQ are tangents to a circle with centre O, so that \u2220POQ = 110\u00b0, then \u2220PTQ is\u00a0 \u00a0[1]<\/strong>
\n![\"CBSE](\"https:\/\/live.staticflickr.com\/65535\/48934322311_7207e1fe87_o.png\")
\n(a) 110\u00b0
\n(b) 90\u00b0
\n(c) 80\u00b0
\n(d) 70\u00b0<\/p>\n
\n325 can be expressed as a product of its primes as\u00a0 \u00a0[1]<\/strong>
\n(a) 52 <\/sup>\u00d7 7
\n(b) 52 <\/sup>\u00d7 13
\n(c) 5\u00a0<\/sup>\u00d7 132<\/sup>
\n(d) 2 \u00d7 32<\/sup> \u00d7 52<\/sup><\/p>\n
\nOne card is drawn from a well shuffled deck of 52 cards. The probability that it is black queen is\u00a0 \u00a0[1]<\/strong>
\n![\"CBSE](\"https:\/\/live.staticflickr.com\/65535\/48933777818_590d212877_o.png\")
<\/p>\n\n
\nThe sum of the zeroes of the polynomial 2x2 <\/sup>– 8x + 6 is\u00a0 \u00a0[1]<\/strong>
\n(a) -3
\n(b) 3
\n(c) -4
\n(d) 4<\/p>\n
\nWhich of the following is the decimal expansion of an irrational number\u00a0 \u00a0[1]<\/strong>
\n(a) 4.561
\n(b) 0.12
\n(c) 5.010010001…
\n(d) 6.03<\/p>\n
\nThe following figure shows the graph of y = p(x), where p(x) is a polynomial in variable x. The number of zeroes of the polynomial p(x) is\u00a0 \u00a0[1]<\/strong>
\n![\"CBSE](\"https:\/\/live.staticflickr.com\/65535\/48934322216_733a1470ff_o.png\")
\n(a) 1
\n(b) 2
\n(c) 3
\n(d) 4<\/p>\n
\nThe distance of the point P (3, – 4) from the origin is\u00a0 \u00a0[1]<\/strong>
\n(a) 7 units
\n(b) 5 units
\n(c) 4 units
\n(d) 3 units<\/p>\n
\nThe mid point of the line segment joining the points (- 5, 7) and (- 1, 3) is\u00a0 \u00a0[1]<\/strong>
\n(a) (-3, 7)
\n(b) (-3, 5)
\n(c) (-1, 5)
\n(d) (5, -3)<\/p>\n
\nThe point which divides the line segment joining the points A (0, 5) and B (5, 0) internally in the ratio 2:3 is ____.\u00a0 \u00a0[1]<\/strong><\/p>\n
\nThe pair of lines represented by the equations 2x+y+3 = 0 and 4x+ky+6 = 0 will be parallel if value of k is ____.\u00a0 \u00a0[1]<\/strong>
\nOR
\nIf the quadratic equation x2<\/sup>-2x+k = 0 has equal roots, then value of k is ____.<\/p>\n
\nThe value of sin 60\u00b0 cos 30\u00b0 + sin 30\u00b0 cos 60\u00b0 is ____.\u00a0 \u00a0[1]<\/strong><\/p>\n
\nValue of cos 0\u00b0. Cos 30\u00b0 .cos 45\u00b0 . cos 60\u00b0 . cos 90\u00b0 is ____.\u00a0 \u00a0[1]<\/strong><\/p>\n
\nThe sides of two similar triangles are in the ratio 2:3, then the areas of these triangles are in the ratio\u00a0 \u00a0[1]<\/strong><\/p>\n
\n\u25b3PQR is right angled isosceles triangle, right angled at R. Find value of sin P.\u00a0 \u00a0[1]<\/strong>
\nOR
\nIf 15 cot A = 8, then find value of cosec A.<\/p>\n
\nIf area of quadrant of a circle is 38.5 cm2<\/sup> then find its diameter (use \u03c0 = 22\/7)\u00a0 \u00a0[1]<\/strong><\/p>\n
\nA dice is thrown once. Find the probability of getting a prime number.\u00a0 \u00a0[1]<\/strong><\/p>\n
\nIn the given fig. If DE || BC Find EC.\u00a0 \u00a0[1]<\/strong>
\n![\"CBSE](\"https:\/\/live.staticflickr.com\/65535\/48934509257_7f482dc76b_o.png\")
<\/p>\n
\nFind the common difference of the A.P whose first term is 12 and fifth term is 0.\u00a0 \u00a0[1]<\/strong><\/p>\n
\nIf two coins are tossed simultaneously. Find the probability of getting 2 heads.\u00a0 \u00a0[2]<\/strong><\/p>\n
\nA lot of 25 bulbs contain 5 defective ones. One bulb is drawn at random from the lot. What is the probability that the bulb is good.\u00a0 \u00a0[2]<\/strong>
\nOR
\nTwo dice are thrown simultaneously at random. Find the probability of getting a sum of eight.<\/p>\n
\nProve that the tangents drawn at the ends of a diameter of a circle are parallel.\u00a0 \u00a0[2]<\/strong><\/p>\n
\nShow that tan 48\u00b0 tan 23\u00b0 tan 42\u00b0 tan 67\u00b0 = 1.\u00a0 \u00a0[2]<\/strong>
\nOR
\nEvaluate cos 48\u00b0 cos 42\u00b0 – sin 48\u00b0 sin 42\u00b0<\/p>\n
\nFind the area of circle whose circumference is 22 cm.\u00a0 \u00a0[2]<\/strong><\/p>\n
\nRead the following passage and answer the questions that follows:
\nA teacher told 10 students to write a polynomial on the black board. Students wrote\u00a0 \u00a0[2]<\/strong>
\n1. x2<\/sup> + 2
\n2. 2x + 3
\n3. x3<\/sup>+ x2<\/sup> + 1
\n4. x3<\/sup>+ 2x2<\/sup> + 1
\n5. x2<\/sup> – 2x + 1
\n6. x – 3
\n7. x4 + x2<\/sup> + 1
\n8. x2 + 2x + 1
\n9. 2x3<\/sup> – x2<\/sup>
\n10. x4<\/sup> – 1
\n(i) How many students wrote cubic polynomial
\n(ii) Divide the polynomial (x2<\/sup> + 2x + 1) by ( x + 1).<\/p>\n
\nFind the zeroes of the quadratic polynomial x2<\/sup> – 3x -10 and verify the relationship between the zeroes and coefficient.\u00a0 \u00a0[3]<\/strong><\/p>\n
\nDraw a circle of radius 4 cm.From the point 7 cm away from its centre, construct the pair of tangents to the circle.\u00a0 \u00a0[3]<\/strong>
\nOR
\nDraw a line segment of length 8 cm and divide it in the ratio 2:3.<\/p>\n
\nFollowing figure depicts a park where two opposite sides are parallel and left and right ends are semi-circular in shape. It has a 7m wide track for walking
\n![\"CBSE](\"https:\/\/live.staticflickr.com\/65535\/48933777718_96f638f978_o.png\")
\nTwo friends Seema and Meena went to the park. Meena said that area of the track is 4066m2<\/sup>. Is she right? Explain.\u00a0 \u00a0[3]<\/strong><\/p>\n
\n![\"CBSE](\"https:\/\/live.staticflickr.com\/65535\/48933777653_4f95da9e32_o.png\")
\u00a0 \u00a0[3]<\/strong><\/p>\n
\nProve that 5 – \u221a3 is irrational, given that \u221a3 is irrational.\u00a0 \u00a0[3]<\/strong>
\nOR
\nAn army contingent of 616 members is to march behind an army band of 32 members in a parade. The two groups are to march in the same number of columns. What is the maximum number of columns in which they can march ?<\/p>\n
\nProve that the lengths of tangents drawn from an external point to a circle are equal.\u00a0 \u00a0[3]<\/strong><\/p>\n
\nRead the following passage and answer the questions that follows:\u00a0 \u00a0[3]<\/strong>
\nIn a class room, four students Sita, Gita, Rita and Anita are sitting at A(3,4), B(6,7), C(9,4), D(6,1) respectively. Then a new student Anjali joins the class
\n![\"CBSE](\"https:\/\/live.staticflickr.com\/65535\/48934322051_01fe107288_o.png\")
\n(i) Teacher tells Anjali to sit in the middle of the four students. Find the coordinates of the position where she can sit.
\n(ii) Calculate the distance between Sita and Anita.
\n(iii) Which two students are equidistant from Gita.<\/p>\n
\nSolve 2x + 3y = 11 and x – 2y = -12 algebraically and hence find the value of \u2018m\u2019 for which y = mx + 3.\u00a0 \u00a0[3]<\/strong><\/p>\n
\nFind two consecutive positive integers sum of whose squares is 365.\u00a0 \u00a0[4]<\/strong><\/p>\n
\nIf the sum of first 14 terms of an A.P. is 1050 and its first term is 10, find the 20th<\/sup> term.\u00a0 \u00a0[4]<\/strong>
\nOR
\nThe first term of an A.P. is 5, the last term is 45 and sum is 400. Find the number of terms and the common difference.<\/p>\n
\nAs observed from the top of a 75m high light house above the sea level, the angles of depression of two ships are 30\u00ba and 45\u00ba respectively If one ship is exactly behind the other on the same side of the light house and in the same straight line, find the distance between the two ships. (use \u221a3 = 1.732)\u00a0 \u00a0[4]<\/strong><\/p>\n
\nIf a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points, then prove that the other two sides are divided in the same ratio.\u00a0 \u00a0[4]<\/strong>
\nOR
\nState and prove the Pythagoras theorem.<\/p>\n
\nA copper rod of diameter 1 cm and length 8 cm is drawn in to a wire of length 18 m of uniform thickness. Find the thickness of wire.\u00a0 \u00a0[4]<\/strong>
\nOR
\nA metallic sphere of radius 4.2 cm is melted and recast into the shape of a cylinder of radius 6 cm. Find the height of the cylinder.<\/p>\n
\nThe following distribution gives the daily income of 50 workers of a factory<\/p>\n