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CBSE Class 9 Maths Question Paper 2021 Set 1, ANNUAL EXAMINATION 2020-21, TIME: 3 Hours, MATHEMATICS, Maximum Marks: 80, ........................................................................................................................................................................, General Instructions:, , 1. All questions are compulsory., 2. The Question Paper consists of 40 questions divided into four sections A, B C and D., 3. Section A contains 20 questions of 1 mark each, Section B contains 6 questions of 2 marks each, Section C contains 8, questions of 3 marks each and Section D contains 6 questions of 4 marks each., 4. There is no overall choice in the paper. However, internal choice is provided in 3 questions of 1 mark, 1 questions in 2, marks, 2 questions in 3 marks and 3 questions of 4 marks., 5. Use of calculators is not permitted., , Section-A, Qs 1 to 10 are multiple choice questions. Select the most appropriate answer from the given options., Q 1. The value of 992 - 982 is:, a) 1, b) 197, c) 187, d) 207, Q 2. Every rational number is :, a) Natural number, b) An Integer, c) A real number, d) A whole number, Q 3. √12 X √15 is equal to:, a) 5√6, b) 6√5, c) 10√5, d) √25, Q 4. If two lines intersect each other, then the vertically opposite angles are:, a. Equal, b. Unequal, c. Cannot be determined, d. None of the above, Q 5. Abscissa of a point is positive in:, a) I and II quadrants, b) I and IV quadrants, c) I quadrant only, d) II quadrant only

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Q 6., a) 0, b) 1/4, c) 1/2, d) 1/√2, Q 7. The complement of (90 - a0) is:, a) a0, b) - a0, c) 900 + a, d) 900 - a, OR, If two parallel lines are intersected by a transversal, then each pair of corresponding angles so formed is:, a) Equal, b) Complementary, c) Supplementary, d) None of these, Q 8. Which of the following angles can be constructed using ruler and compass only?, (a) 35°, (b) 40°, (c) 37.5°, (d) 47.5°, Q 9. 2√3+√3 is equal to:, a) 2√6, b) 6, c) 4√6, d) 3√3, Q 10. The curved surface area of a right circular cylinder of height 14 cm is 88 cm2 . Find the diameter of the, base of the cylinder., (a) 1 cm, (b) 2 cm, (c) 3 cm, (d) 4 cm, (Qs 11 to Qs 15) Fill in the blanks:, Q 11. If the lengths of two sides of an isosceles triangle are 4 cm and 10 cm, then the length of the third side, is ........... cm., OR, If the height of a triangle is halved then its area will become ........... of the original area., Q 12. .......... is found by adding all the values of the observations and dividing this by the total number of, observations., Q 13. The sum of the areas of the plane and curved surfaces (faces) of a solid is called its .......... surface area., Q 14. If n is an odd number, the median = value of the .......... observation., Q 15. .......... can also be drawn independently without drawing a histogram.

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(Q16 to Qs 20) Answer the following:, Q16. Find 2 irrational numbers between 1 and 2., Q17. If ∆ABC is congruent to ∆PQR, find the length of QR., , Q 18. Two coins are tossed simultaneously. List all possible outcomes., Q 19. In which quadrant (6, -4) will lie?, OR, Find the zero of a polynomial 2x + 4., Q 20. Is it correct to say that in a histogram, the area of each rectangle is proportional to the class size of the, corresponding class interval? If not, correct the statement., , Section-B, Q 21. Using suitable identity evaluate the following:, (i) 983, (ii) 188 × 212, Q 22. Two circles are drawn with sides AB and AC of a triangle ABC as Diameters. The circles intersect at a, point D. If AB = 5cm, BD = 3 cm and AC = 6 cm, find BC., Q 23. The angles of a triangle are in the ratio 2:3:4. Find all the angles of the triangle., Q 24. Find the value of k if (x-1) is a factor of 4x3+3x2−4x+k., Q 25. The ratio between the radius of the base and height of a cylinder is 2:3. If its volume is 1617 cm2, find the, total surface area of the cylinder., OR, The dimensions of a cuboid are in the ratio of 1 : 2 : 3 and its total surface area is 88 m2 . Find the dimensions., , Q 26.

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Section-C, Q 27. Calculate the perimeter of a rectangle whose area is 25x2 – 35x + 12., Q 28. The perimeter of a triangle is 50 cm. One side of a triangle is 4 cm longer than the smaller side and the third side is, 6 cm less than twice the smaller side. Find the area of the triangle., OR, Sides of a triangle are in the ratio of 12 : 17 : 25 and its perimeter is 540 cm. Find its area., Q 29. In the adjacent figure, ABCD is a square. A line segment DX cuts the side BC at X and the diagonal AC at O, such, that ∠COD = 1050. Find the value of x., , Q 30. What must be subtracted from 4x4 - 2x3-6x2+x-5, so that the result is exactly divisible by 2x2 + x - 1?, OR, If x + y = 12 and xy = 27, find the value of x3 + y3 ?, Q 31. Cards marked with the numbers 2 to 101 are placed in a box and mixed thoroughly. One card is drawn from this, box. Find the probability that the number on the card is a number which is a perfect square., Q 32. ABC is a triangle inscribed in a circle with center O. If ∠A OC =130° and ∠B OC =150°, find ∠A CB., Q 33. The linear equation that converts Fahrenheit (F) to Celsius (C), is given by the relation, C = (5F - 160)/9., (i) If the temperature is 86oF, then what is the temperature in Celsius ?, (ii) If the temperature is 350C, then what is the temperature in Fahrenheit ?, (iii) If the temperature is 00C, then what is the temperature in Fahrenheit and if temperature is 00F, then what is the, temperature in Celsius ?, OR, Solve : 4x - 18 = 3y, 6x + 7y - 4 = 0, Q 34. From the choices given below, choose the equation whose graph is shown in the figure., (i) x + y = 2, (ii) x - y = 2, (iii) 2x + 2y = 6

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Section-D, Q 35. (a) Find the remainder when x3+3x2+3x+1 is divided by, (i) x+1, (ii) x+2, (b) Use the Factor Theorem to determine whether g(x) is a factor of p(x) in each case:, (i) p(x) = 2x3+x2–2x–1, g(x) = x+1, (ii) If (x - 2a) is a factor of 2x4 - 4ax3 + 7x2 - 13ax - 18, find the value of a., Q 36. Simplify using laws of exponents:, , Q 37. Read the bar graph shown below and answer the following questions:, a. What is the information given by the bar graph?, b. How many tickets of Assam State Lottery were sold by the agent?, c. Of which state, were the maximum number of tickets sold?, d. State whether true or false., “The maximum number of tickets sold is three times the minimum number of tickets sold.”, e. Of which state were the minimum numbers of tickets sold?

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OR, For a particular year, following is the distribution of ages (in years) of primary school teachers in a district:, , a. Draw the histogram of the above data., b. Maximum teachers are in which age group?, c. How many teachers are in age group 45-50?, Q 38. A metallic sheet is of the rectangular shape with dimensions 48 cm x 36 cm. From each one of its corners, a, square of 8 cm is cut off. An open box is made of the remaining sheet. Find the volume of the box., OR, The circumference of the base of a 10 m height conical tent is 44 meters. Find the length of the canvas used in, making the tent if width of canvas is 2 m.( π = 22/7 ), Q 39. Draw the graph of equation 5x + 3y = 4 and check whether, (a) x = 2, y = 5, (b) x = −1, y = 3 are solutions., OR, In a class, the number of girls is x and that of boys is y . Also, the number of girls is 10 more than the number of boys., Write the given data in the form of a linear equation in two variables. Also, represent it graphically. Find graphically, the number of girls, if the number of boys in 20., Q 40. Water is flowing at the rate of 3 km/hour through a circular pipe of 20 cm internal diameter into a circular, cistern of diameter 10 m and depth 2 m. In how much time will the cistern be filled?