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PRACTICE QUESTION PAPER - I, CLASS-IX, MATHEMATICS, Time: 3 Hrs., М.М. 80, General Instruction:, 1., All questions are compulsory., 2., The paper consists of 40 questions divided into four sections A, B, C, and D. Section A comprises of 20 questions of 1 marks each. Section, B comprises of 6 question of 2 marks each. Section C comprises of 8, questions of 3 marks each. Section D comprises of 6 question of 4, marks each., 3., There is no over all choice in this question paper. All though internal, choices has been provided in some question., SECTION - A, 1., a), b), 2-6, 1., 26, d), 2°, or, (625)*1* x (625)*0" = ?, а), 0.16, 0.09, b), 25, c), 125, d), 625.25, 2., = -1 (x, y # 0). the value of x - y is, If, y, - 1, а), b), 1, d), 1, c), b?, If a + b +c = 0 then, bc, = ?, ab, 3., са, a), c), 1, b), d), - 1, 3

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4., The values of 249? – 248? is, a), 12, b), 477, c), 487, d), 497, 5., If (2, 0) is a solution of the linear equation 2x + 3y = K, then the value of, Kis, a), 4, b), c), d), 6., How many linear equations is x and y can be satisfied by x = 1 and, y=2?, а), c), Only One, Infinitely many, b), d), Two, Three, 7., The point whose ordinate is 4 and which lies on y-axis is, а), (4, 0), b), (0, 4), c), (1,4), d), (4, 2), or, If P(-1, 1), Q(3, -4), R(1, –1), S(-2, -3) and T(- 4, 4) are plotted on, the graph paper, then the points in the fourth quadrant are, а), P and T, Q and R, P and R, b), c), Only S, d), The angles of a triangle are in the ratio 2:4 : 3. The smallest angle, of the triangle is, 8., a), 60°, b), 40°, c), 80°, d), 20°, Two sides of a triangle are of length 5cm and 1.5cm. The length of the, third side of the triangle cannot be., 9., а), 3.4cm, b), d), 3.6cm, c), 3.8cm, 4.1cm

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10., The figure obtained by joining the mid point of the sides of a rhombus,, taken in order is, a), a rhombus, b), d), a rectangle, c), a square, any Parallelogram, 11., In Fig. AB and CD are two equal chords of, A, a circle with centre O. OP and OQ are, perpendiculars on chords AB and CD, 150, respectively. If ZPOQ = 150°, then ZAPQ, is equal to, B, а), 30°, b), 75°, c), 15°, d), 60°, 12., By the Heron's formula, the area of A ABC, is given by A=, sq. unit., a, 13., The sides of a triangle are 56cm, 60cm, and 52cm long. Then the area, of the triangle is, a), 1322cm?, b), 1311cm?, c), 1344cm?, d), 1392cm?, 14., The sides of a triangle are in the ratio 5:12:13 and its perimeter is, 150cm. The area of the triangle is, a), 375cm?, b), 750cm?, c), 250cm?, d), 500cm?, and short height, 2, 15., The total surface area of a cone whose radius is, 21 is, a), 2nr (1 + r), b), ar (1 +4), c), TTr (1 + r), d), 2nrl, 16., The radius of a hemispherical balloon increases from 6cm to 12cm, as air is being pumped into it. the ratios of the surface areas of the

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balloon in the two cases is, a), 1:4, b), 1:3, c), 2:3, d), 2:1, 17., The class mark of the class 90 - 120 is :, а), 90, b), 105, c), 115, d), 120, 18., The mean of five number is 30. If one number is excluded their mean, becomes 28. The excluded number is :, а), 28, b), 30, c), 35, d), 38, A coin is tossed 60 times and the tail appears 35 times. What is the, probability of getting a head ?, 19., 7, 12, a), b), 12, 7, 12, c), d), 12, 20., Fill in the blanks:, If E be an event, then P(E)+ P(not E) =, SECTION - B, If the point (3, 4) lies on the graph of 3y = ax + 7, then find the value, of a., 21., or, Find four different solutions of 2x + y = 6., 22., If PQ || ST, ZPQR = 110° and ZRST = 130°, find ZQRS, T, Q, 130°, 110°, R

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Find the area of the trapezium whose parallel sides are 14cm and, 10cm and whose height is 6cm., 23., The perimeter of a an isosceles triangle is 32cm. The ratio of the equal, side to its base is 3:2. Find the area of the triangle., 24., The diameter of a roller is 84cm and its length is 120cm. It takes 500, complete revolutions to move once cover to level a playground. Find, the area of the playground is m2., A die was rolled 100 times and the number of times 6 appeared was, noted. If the probability of getting a 6 be 2/5, how many times did 6, 25., 26., come up ?, or, 1500 families with 2 children each, were selected randomly and the, following data were recorded., Number of girls is a family, 1, Number of families, 102, 675, 723, out of these families, one family is selected at random. What is the, probability that the selected family has., i), 2 girls, ii), 1 girl, SECTION - C, 1, If a = 2+v3, then find the value of a -, a, 27., 28., Factories: a(a-1)-b (b-1), or, If P = 2 - a, prove that a' + 6ap + p' – 8 = 0, The taxi fare in a city as follows : for the first kilometre, the fare is 25, and for the subsequent distance it is ? 14 per km. Taking the distance, covered as x km and total fare as y, write the linear equation for this, information and draw its graph., 29., Three vertices of a rectangle are (3, 2), (-4, 2) and (-4, 5), plot these, points on a graph paper and the coordinates of the fourth vertex., 30.