{"id":4225,"date":"2019-10-21T19:50:11","date_gmt":"2019-10-21T14:20:11","guid":{"rendered":"https:\/\/versionweekly.com\/?p=4225"},"modified":"2019-10-21T20:53:32","modified_gmt":"2019-10-21T15:23:32","slug":"cbse-sample-question-papers-for-class-10-maths-standard-for-2020-board-exam","status":"publish","type":"post","link":"https:\/\/versionweekly.com\/news\/cbse\/cbse-sample-question-papers-for-class-10-maths-standard-for-2020-board-exam\/","title":{"rendered":"CBSE Sample Question Papers for Class 10 Maths Standard for 2020 Board Exam"},"content":{"rendered":"

CBSE Sample Question Papers for Class 10 Maths Standard 2020<\/strong><\/h2>\n

Class X
\nMathematics -Standard (041)
\nSample Question Paper 2019-20<\/p>\n

Duration : 3 hrs\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 Duration: 3 hrs.<\/p>\n

General Instructions:<\/p>\n

    \n
  1. All the questions are compulsory.<\/li>\n
  2. The question paper consists of 40 questions divided into 4 sections A, B, C, and D.<\/li>\n
  3. Section A comprises of 20 questions of 1 mark each. Section B comprises of 6 questions of 2 marks each.<\/li>\n
  4. Section C comprises of 8 questions of 3 marks each. Section D comprises of 6 questions of 4 marks each.<\/li>\n
  5. There is no overall choice. However, an internal choice has been provided in two questions of 1 mark each, two questions of 2 marks each, three questions of 3 marks each, and three questions of 4 marks each. You have to attempt only one of the alternatives in all such questions.<\/li>\n
  6. Use of calculators is not permitted.<\/li>\n<\/ol>\n

    SECTION A<\/strong><\/p>\n

    Practice MCQ Questions for Class 10 Maths With Answers<\/a><\/strong><\/span> for 2020 Board Exams.<\/p>\n

    Q 1 – Q 10 are multiple choice questions. Select the most appropriate answer from the given options.<\/p>\n

    Question 1.
    \nThe decimal representation of 11\/23\u00d75 will\u00a0 \u00a0[1]<\/strong>
    \na) terminate after 1 decimal place
    \nb) terminate after 2 decimal places
    \nc) terminate after 3 decimal places
    \nd) not terminate<\/p>\n

    Question 2.
    \nConsider the following frequency distribution of the heights of 60 students of a class<\/p>\n\n\n\n\n
    Height (in cm)<\/sup><\/td>\n\u00a0150-155<\/td>\n155-160<\/td>\n160-165<\/td>\n165-170<\/td>\n170-175<\/td>\n175-180<\/td>\n<\/tr>\n
    No of students\u00a0<\/sup><\/td>\n15<\/td>\n13<\/td>\n10<\/td>\n8<\/td>\n9<\/td>\n5<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

    The upper limit of the median class in the given data is\u00a0 \u00a0[1]<\/strong>
    \na) 165
    \nb) 155
    \nc) 160
    \nd) 170<\/p>\n

    Question 3.
    \nThe LCM of smallest two digit composite number and smallest composite number is\u00a0 \u00a0[1]<\/strong>
    \na) 12
    \nb) 4
    \nc) 20
    \nd) 44<\/p>\n

    Question 4.
    \nFor which value(s) of p, will the lines represented by the following pair of linear equations be parallel\u00a0 \u00a0[1]<\/strong>
    \n3x – y – 5 = 0
    \n6x – 2 y – p = 0
    \na) all real values except 10
    \nb) 10
    \nc) 5\/2
    \nd) 1\/2<\/p>\n\n\n\n\n\n\n
    \n

    2020 Board Exam:\u00a0<\/strong>Download CBSE Sample Papers for Class 10 Bundle PDF<\/a><\/strong><\/h3>\n<\/th>\n<\/tr>\n

    CBSE Sample Papers for Class 10 Maths<\/a><\/strong><\/td>\nCBSE Sample Papers for Class 10 Standard<\/a><\/strong><\/td>\n<\/tr>\n
    CBSE Sample Papers for Class 10 English<\/a><\/strong><\/td>\nCBSE Sample Papers for Class 10 Sanskrit<\/a><\/strong><\/td>\n<\/tr>\n
    CBSE Sample Papers for Class 10 Social Science<\/a><\/strong><\/td>\nFormula Handbook for Class 10 Maths and Science<\/a><\/strong><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

    Question 5.
    \nIf triangle ABC is right angled at C, then the value of sec (A+B) is\u00a0 \u00a0[1]<\/strong>
    \na) 0
    \nb) 1
    \nc) 2\/\u221a3
    \nd) not defined<\/p>\n

    Question 6.
    \nIf sin\u03b8 + cos\u03b8 = \u221a2cos\u03b8, (\u03b8 \u2260 90\u00b0) then the value of tan\u03b8 is\u00a0 \u00a0[1]<\/strong>
    \na) \u221a2 – 1
    \nb) \u221a2 + 1
    \nc) \u221a2
    \nd) -\u221a2<\/p>\n

    Question 7.
    \nGiven that sin\u03b1 = \u221a3\/2 and cos\u03b2 = 0, then the value of \u03b2 – \u03b1 is\u00a0 \u00a0[1]<\/strong>
    \na) 0\u00b0
    \nb) 90\u00b0
    \nc) 60\u00b0
    \nd) 30\u00b0<\/p>\n

    Question 8.
    \nThe point which divides the line segment joining the points (8,-9) and (2,3) in ratio 1 : 2 internally lies in the\u00a0 \u00a0[1]<\/strong>
    \na) I quadrant
    \nb) II quadrant
    \nc) III quadrant
    \nd) IV quadrant<\/p>\n

    Question 9.
    \nThe distance of the point P (-3, -4) from the x-axis (in units) is\u00a0 \u00a0[1]<\/strong>
    \na) 3
    \nb) -3
    \nc) 4
    \nd) 5<\/p>\n

    Question 10.
    \nIf A(m\/3, 5)is the mid-point of the line segment joining the points Q (-6, 7) and R (-2, 3), then the value of m is\u00a0 \u00a0[1]<\/strong>
    \na) -12
    \nb) -4
    \nc) 12
    \nd) -6<\/p>\n

    (Q 11 – Q 15) Fill in the blanks<\/p>\n

    Question 11.
    \nThe total surface area of the given solid figure is _____.\u00a0 \u00a0[1]<\/strong>
    \n\"CBSE<\/p>\n

    Question 12.
    \nIf one root of the equation (k – 1)x2<\/sup> – 10x + 3 = o is the reciprocal of the other, then the value of k is_____.\u00a0 \u00a0[1]<\/strong>
    \nOR
    \nThe graph of y = p(x), where p(x) is a polynomial in variable x, is as follows;
    \n\"CBSE
    \nThe number of zeroes of p(x) is _____.<\/p>\n

    Question 13.
    \nThe perimeters of two similar triangles \u2206ABC and \u2206PQR are 35cm and 45cm respectively, then the ratio of the areas of the two triangles is_____.\u00a0 \u00a0[1]<\/strong><\/p>\n

    Question 14.
    \nFill the two blanks in the sequence 2, __ , 26, __ so that the sequence forms an A.P.\u00a0 \u00a0[1]<\/strong><\/p>\n

    Question 15.
    \nA number is chosen at random from the numbers -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5. Then the probability that square of this number is less than or equal to 1 is ______.\u00a0 \u00a0[1]<\/strong><\/p>\n

    (Q 16- Q 20) Answer the following<\/p>\n

    Question 16.
    \nWrite one rational and one irrational number lying between 0.25 and 0.32\u00a0 \u00a0[1]<\/strong><\/p>\n

    Question 17.
    \nIn the figure, if \u2220ACB = \u2220CDA, AC = 6 cm and AD = 3 cm, then find the length of AB\u00a0 \u00a0[1]<\/strong>
    \n\"CBSE<\/p>\n

    Question 18.
    \nIf the angle between two tangents drawn from an external point \u2018P\u2019 to a circle of radius \u2018r\u2019 and centre O is 60\u00b0, then find the length of OP.\u00a0 \u00a0[1]<\/strong>
    \nOR
    \nIf the radii of two concentric circles are 4 cm and 5 cm, then find the length of each chord of one circle which is tangent to the other circle.<\/p>\n

    Question 19.
    \nIf the first three terms of an A.P are b, c and 2b, then find the ratio of b and c.\u00a0 \u00a0[1]<\/strong><\/p>\n

    Question 20.
    \nFind the value(s) of k for which the quadratic equation x2<\/sup> + 2\u221a2kx + 18 = 0 has equal roots\u00a0 \u00a0[1]<\/strong><\/p>\n

    Section – B<\/strong><\/p>\n

    Question 21.
    \nFind the number of natural numbers between 102 and 998 which are divisible by 2 and 5 both.\u00a0 \u00a0[2]<\/strong><\/p>\n

    Question 22.
    \nProve that the rectangle circumscribing a circle is a square.\u00a0 \u00a0[2]<\/strong><\/p>\n

    Question 23.
    \nIn the given figure, DEFG is a square and \u2220BAC = 90\u00b0. Show that FG2 <\/sup>= BG x FC\u00a0 \u00a0[2]<\/strong>
    \n\"CBSE
    \nIn an equilateral triangle, prove that three times the square of one side is equal to four times the square of one of its altitudes.<\/p>\n

    Question 24.
    \n\u2018Skysails\u2019 is that genre of engineering science that uses extensive utilization of wind energy to move a vessel in the sea water. The \u2018Skysails\u2019 technology allows the towing kite to gain a height of anything between 100 metres – 300 metres. The sailing kite is made in such a way that it can be raised to its proper elevation and then brought back with the help of a \u2018telescopic mast\u2019 that enables the kite to be raised properly and effectively.
    \nBased on the following figure related to sky sailing, answer the questions:\u00a0 \u00a0[2]<\/strong>
    \n\"CBSE
    \n(i) In the given figure, if sin \u03b8 = cos (3\u03b8 – 30\u00b0), where \u03b8 and 3\u03b8 – 30\u00b0 are acute angles, then find the value of \u03b8.
    \n(ii) What should be the length of the rope of the kite sail in order to pull the ship at the angle \u03b8 (calculated above) and be at a vertical height of 200 m?<\/p>\n

    Question 25.
    \nJayanti throws a pair of dice and records the product of the numbers appearing on the dice. Pihu throws 1 dice and records the squares the number that appears on it. Who has the better chance of getting the number 36? Justify?\u00a0 \u00a0[2]<\/strong>
    \nOR
    \nAn integer is chosen between 70 and 100, Find the probability that it is
    \n(a) a prime number
    \n(b) divisible by 7<\/p>\n

    Question 26.
    \nIsha is 10 years old girl. On the result day, Isha and her father Suresh were very happy as she got first position in the class. While coming back to their home, Isha asked for a treat from her father as a reward for her success. They went to a juice shop and asked for two glasses of juice.
    \nAisha, a juice seller, was serving juice to her customers in two types of glasses. Both the glasses had inner radius 3cm. The height of both the glasses was 10cm.
    \n\"CBSE
    \nFirst type: A Glass with hemispherical raised bottom.
    \n\"CBSE
    \nSecond type: A glass with conical raised bottom of height 1.5 cm.
    \nIsha insisted to have the juice in first type of glass and her father decided to have the juice in second type of glass. Out of the two, Isha or her father Suresh, who got more quantity of juice to drink and by how much?\u00a0 \u00a0[2]<\/strong><\/p>\n

    Section C<\/strong><\/p>\n

    Question 27.
    \nGiven that \u221a5 is irrational, prove that 2\u221a5 – 3 is an irrational number.\u00a0 \u00a0[3]<\/strong>
    \nOR
    \nIf HCF of 144 and 180 is expressed in the form 13m – 16. Find the value of m.<\/p>\n

    Question 28.
    \nIf the sum of first m terms of an AP is the same as the sum of its first n terms, show that the sum of its first (m+n) terms is zero.\u00a0 \u00a0[3]<\/strong><\/p>\n

    Question 29.
    \nIn the figure, ABCDE is a pentagon with BE||CD and BC||DE. BC is perpendicular to CD. AB= 5cm, AE = 5cm, BE = 7cm, BC = x-y and CD = x+y. If the perimeter of ABCDE is 27cm. find the value of x and y, given x, y \u2260 0.\u00a0 \u00a0[3]<\/strong>
    \n\"CBSE
    \nOR
    \nSolve the following system of equations:
    \n\"CBSE<\/p>\n

    Question 30.
    \nObtain all the zeros of the polynomial x4<\/sup> + 4x3<\/sup> \u2013 2x2<\/sup> \u2013 20x -15, if two of its zeroes are \u221a5 and -\u221a5.\u00a0 \u00a0[3]<\/strong><\/p>\n

    Question 31.
    \nTwo friends Seema and Aditya work in the same office at Delhi. In the Christmas vacations, both decided to go to their hometowns represented by Town A and Town B respectively in the figure given below. Town A and Town B are connected by trains from the same station C (in the given figure)in Delhi.Based on the given situation, answer the following questions:\u00a0 \u00a0[3]<\/strong>
    \n\"CBSE
    \n(i) Who will travel more distance, Seema or Aditya, to reach to their hometown?
    \n(ii) Seema and Aditya planned to meet at a location D situated at a point D represented by the mid-point of the line joining the points represented by Town A and Town B. Find the coordinates of the point represented by the point D
    \n(iii) Find the area of the triangle formed by joining the points represented by A, B and C.<\/p>\n

    Question 32.
    \nIf sin\u03b8 + cos\u03b8 = \u221a3, then prove that tan\u03b8 + cot\u03b8 = 1\u00a0 \u00a0[3]<\/strong>
    \nOR
    \n\"CBSE<\/p>\n

    Question 33.
    \nSides of a right triangular field are 25m, 24m and 7m. At the three corners of the field, a cow, a buffalo and a horse are tied separately with ropes of 3.5 m each to graze in the field. Find the area of the field that cannot be grazed by these animals.\u00a0 \u00a0[3]<\/strong><\/p>\n

    Question 34.
    \nA TV reporter was given a task to prepare a report on the rainfall of the city Dispur of India in a particular year. After collecting the data, he analyzed the data and prepared a report on the rainfall of the city. Using this report, he drew the following graph for a particular time period of 66 days.\u00a0 \u00a0[3]<\/strong>
    \n\"CBSE
    \nBased on the above graph, answer the following questions:
    \n(i) Identify less than type ogive and more than type ogive from the given graph.
    \n(ii) Find the median rainfall of Dispur
    \n(iii) Obtain the Mode of the data if mean rainfall is 23.4cm<\/p>\n

    Section – D<\/strong><\/p>\n

    Question 35.
    \nDraw a triangle ABC with side BC=6.5cm, \u2220B=30\u00b0, \u2220A =105\u00b0. Then construct another triangle whose sides are 3\/4 times the corresponding sides of the triangle ABC.\u00a0 \u00a0[4]<\/strong>
    \nOR
    \nConstruct a pair of tangents to a circle of radius 3 cm which are inclined to each other at an angle of 60\u00b0.<\/p>\n

    Question 36.
    \nProve that if a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points, then the other two sides are divided in the same ratio.\u00a0 \u00a0[4]<\/strong><\/p>\n

    Question 37.
    \nA train covers a distance of 360 km at a uniform speed. Had the speed been 5km\/hour more, it would have taken 48 minutes less for the journey. Find the original speed of the train.\u00a0 \u00a0[4]<\/strong>
    \nOR
    \nSolve the following equation:
    \n\"CBSE<\/p>\n

    Question 38.
    \nA petrol tank is in the form of a frustum of a cone of height 20 m with diameters of its lower and upper ends as 20 m and 50 m respectively. Find the cost of petrol which can fill the tank completely at the rate of Rs. 70 per litre. Also find the surface area of the tank.\u00a0 \u00a0[4]<\/strong>
    \nOR
    \nWater is flowing at the rate of 15 km\/hour through a pipe of diameter 14 cm into a cuboidal pond which is 50 m long and 44 m wide. In what time will the level of water in the pond rise by 21 cm?<\/p>\n

    Question 39.
    \nThe angle of elevation of an airplane from a point on the ground is 60\u00b0. After a flight of 30 seconds, the angle of elevation becomes 30\u00b0. If the airplane is flying at a constant height of 3000\u221a3 m, find the speed of the airplane.\u00a0 \u00a0[4]<\/strong><\/p>\n

    Question 40.
    \nDaily wages of 110 workers, obtained in a survey, are tabulated below:\u00a0 \u00a0[4]<\/strong><\/p>\n\n\n\n\n
    Daily Wages (in Rs.)<\/td>\n100-120<\/td>\n120-140<\/td>\n140-160<\/td>\n160-180<\/td>\n180-200<\/td>\n200-220<\/td>\n220-240<\/td>\n<\/tr>\n
    Number of Workers<\/td>\n10<\/td>\n15<\/td>\n20<\/td>\n22<\/td>\n18<\/td>\n12<\/td>\n13<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

    Compute the mean daily wages and modal daily wages of these workers.<\/p>\n","protected":false},"excerpt":{"rendered":"

    CBSE Sample Question Papers for Class 10 Maths Standard 2020 Class X Mathematics -Standard (041) Sample Question Paper 2019-20 Duration … <\/p>\n

    Read more<\/a><\/p>\n","protected":false},"author":3,"featured_media":4250,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":[],"categories":[28],"tags":[],"jetpack_featured_media_url":"https:\/\/versionweekly.com\/wp-content\/uploads\/2019\/10\/CBSE-Sample-Question-Papers-for-Class-10-Maths-Standard-for-2020-Board-Exam.png","_links":{"self":[{"href":"https:\/\/versionweekly.com\/wp-json\/wp\/v2\/posts\/4225"}],"collection":[{"href":"https:\/\/versionweekly.com\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/versionweekly.com\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/versionweekly.com\/wp-json\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/versionweekly.com\/wp-json\/wp\/v2\/comments?post=4225"}],"version-history":[{"count":0,"href":"https:\/\/versionweekly.com\/wp-json\/wp\/v2\/posts\/4225\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/versionweekly.com\/wp-json\/wp\/v2\/media\/4250"}],"wp:attachment":[{"href":"https:\/\/versionweekly.com\/wp-json\/wp\/v2\/media?parent=4225"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/versionweekly.com\/wp-json\/wp\/v2\/categories?post=4225"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/versionweekly.com\/wp-json\/wp\/v2\/tags?post=4225"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}