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CBSE Class 10 Board Exam 2021 : Chemistry

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CLASS-10(X) MATHEMATICS CASE STUDY BASED QUESTIONS (BASED ON NEW QUESTION PAPER PATTERN) BASIC AND STANDARD 2020-21 BY SHIVANI KOTWAL CASE STUDY BASED QUESTIONS-X-2020-21 Chapter-1 -Real Numbers 1 Observe the factor tree below and answer the questions:- X 3 1275 3 425 85 Y 5 i) ii) iii) What will be the value of X ? a)8325 b)3825 c) 835 d) 3325 What will be the value of Y ? a)5 b)25 c) 17 d) 3 What will be the value of Z ? a)3 b)17 c) 5 d) 13 BY-SHIVANI KOTWAL Z 1 1 1 Chapter-2 Polynomials 2 Observe the graph y f x of a polynomial carefully and answer the following questions:- i) The number of zeroes of the polynomial y f x are ? 1 ii) a) 2 b)3 c)4 d) 1 The curve y f x represents a ..polynomial ? 1 iii) a) Quadratic b)linear c)biquadratic d) cubic The coordinates where the curve intersects the x-axis area)(2,0),(-2,0) b) (2,0),(-2,0),(-1,3) c) (2,0),(-2,0),(0,0) d) (2,0),(-2,0),(1,-3) BY-SHIVANI KOTWAL 1 Chapter-2 Polynomials 3 Observe the graphs y f x and y g x of a polynomial carefully and answer the following questions:FIGURE-A i) ii) iii) iv) FIGURE-B The number of zeroes shown in the polynomial in Figure -A are ? a) 1 b)2 c) 0 d)3 The number of zeroes shown in the polynomial in Figure -B are ? a)2 b)1 c) 0 d) 3 The graph in Figure-A represents the polynomiala) y x 2 2 x 3 b) y x 3 3x 2 c) y x 3 d) y x 3 x The graph in Figure-B represents the polynomiala) y x 2 2 x 3 b) y x 3 3x 2 c) y x 3 d) y x 3 x 2 BY-SHIVANI KOTWAL 1 1 1 1 Chapter-2 Polynomials 4 i) ii) iii) iv) v) The figure shows a bridge with hanging wires showing a mathematical shape. Answer the questions given belowName the shape of the hanging wires ? a) Linear b) Spiral c) Parabola d) Ellipse What will be the expression of the polynomial shown in the figure ? a) y ax b c) y ax 3 bx 2 cx d 2 y ax bx c b) d)None of these The hanging wires on the bridge is represented graphically. Zeroes of a polynomial can be expressed graphically. Number of zeroes of polynomial is equal to number of points where the graph of polynomiala) Intersects x-axis b) Intersects y-axis c) Intersects y-axis or x-axis d)None of the above The representation of Hanging wires on the bridge whose sum of the zeroes is -3 and product of the zeroes is 5 is a) x 2 3x 5 b) x 2 3x 5 c) x 2 3x 5 d) x 2 3x 5 Graph of a quadratic polynomial is a) straight line b) circle c)parabola d)ellipse BY-SHIVANI KOTWAL 1 1 1 1 1 Chapter-5-Arithmetic Progression 5 In a lemon race ,a bucket is placed at a starting point, which is 6m away from the first lemon and other lemons are placed 4 m apart from each other in a straight line. There are 10 lemons in a line. Riya starts from the bucket , picks up the nearest lemon ,runs back with it, drops it in the bucket ,runs back to pic the next lemon, runs to the bucket to drop it in and continues until all the lemons are in the bucket. Now answer the following questions given below-: i) The lemons are placed in a straight line depicts which part of sequence ? a)Geometric b) Arithmetic c) Linear d) Harmonic 1 ii) The total distance covered by Riya is a)370 m b)480 m c)460 m 1 iii) The formula to find n term of the Arithmetic sequence (Progression) is a) an a n 1 d b) an a n 1 d c) an a n 1 d iv) d) Sn d)400m 1 n 2a n 1 d 2 The difference between the terms of arithmetic sequence is called asa) Common ratio b) Common Difference c) Common term d) None of these BY-SHIVANI KOTWAL 1 Chapter-5-Arithmetic Progression 6 Figure shows playing cards stacked together in a following manner . 56 cards are stacked in this manner. 14 cards are in the bottom row,12 in the next row ,10 in the row next to it and so on. Based on the observation answer the questions below- i) The total number of rows in which the cards are stacked a)7 b)6 c)8 d)9 1 ii) The number of cards in the top row isa)4 b)6 c)1 d)2 1 iii) The mathematical concept applied in solving the above problem isa)Linear equations b) Probability c) Arithmetic progression d) Coordinate geometry 1 BY-SHIVANI KOTWAL Chapter -6-Triangles 7 Observe the below given figures carefully and answer the questions- Figure-A Figure-D Figure-B Figure-C Figure-E Figure-F i) Which among the above shown figures are congruent figures ? a)A and C b) E and F c) D and F d) B and F 1 ii) Tick the correct statementa) All similar figures are congruent. b) All congruent figures are similar . 1 c) The criterian for similarity and congruency is same. d) Similar figures have same size and shape. iii) If a line divides any two sides of the triangle in the same ratio,then the line is parallel to the third side.The statement depicts which theorema)Pythagorus b) Thales Theorem c) Converse of Thales theorem d)Converse of Pythagorus theorem. 1 iv) Using the concept of similarity ,the height of the tree is 1 a) 12 ft v) b) 10 ft c) 15 ft d) 7 ft The height of the tree ,when its shadow is 84 m long and at the same time a girl 2m high standing in the same straight line casts a shadow 12 m is a) 14m b) 24 m c) 6m d) 12 m BY-SHIVANI KOTWAL Chapter 7-Coordinate Geometry 8 A City school is organizing Annual sports event in a rectangular shaped ground ABCD The tracks are being marked with a gap of I m each in the form of straight lines. 120 flower pots are placed with a distance of 1 m 1 rd of the distance in the second line along 3 1 AD and post her flag. Saanvi runs rd the distance AD in the eighth line 5 each along AD. Shruti runs and posts her flag. i) ii) The distance between the two flags isa) 2 73 b) 3 73 c) 273 d) 73 If Reena has to post the flag exactly halfway between the line segment joining the two flags, the coordinates where she should post her flag area) 2,40 b) 2,30 c) 5,32 iii) The coordinates where Shruti posts her flag area) 2,40 b) 40,2 c) 2,30 iv) The coordinates where Saanvi posts her flag area) b) 24,8 c) 5,32 3, 40 1 1 d) 10,64 d) 3, 40 BY-SHIVANI KOTWAL d) 8, 24 1 1 Chapter -12 Area related to Plane Figures 9 The Figure shown below is a depiction of a house forming some mathematical polygons called a TANGRAM . The tangram is a dissection puzzle consisting of seven flat polygons, called tans, which are put together to form shapes. It is a simple set of seven geometric shapes made up of five triangles (two small triangles, one medium triangle, and two large triangles), a square, and a parallelogram. When the pieces are arranged together they suggest an amazing variety of forms, embodying many numerical and geometric concepts. Answer the below given questions i) Given two triangles (blue and yellow) as congruent triangles and the base and height of the parallelogram as 8cm and 6cm , the area of the combined figure (house) isa)525 sq.cm b) 300 sq.cm c) 325 sq.cm d) 400 sq.cm 1 ii) The area of parallelogram is given by- 1 1 a) b h 2 1 b) b h1 h2 2 c) a 2 BY-SHIVANI KOTWAL d) b h 10 A mathematical model of a farmhouse is framed.The base ABCD is a square.The beams that supports the roof are the edges of a rectangular prism EFGHKLMN.Point E is the midpoint of AT,F is the midpoint of BT similarly G and H denotes the midpoint of CT and DT.The edges of the pyramid are of length 12 cm. i) What is the length of FG , where FG is one of the horizontal edges of the blocka) 12m b) 24 m c) 6 m d) 10 m 1 ii) The area of the triangular faces isa) 36 3m2 b) 72 3m2 c) 108 3m2 1 iii) The length of the diagonal drawn on the square base is a)12 2m b) 10 2m c) 288m d) 100 3m2 d) 144m BY-SHIVANI KOTWAL Chapter -13-Surface Area and Volumes 11 Observe the figure and answer the questions-: i) Name the shape of the figure shown above ? a)Cube b) Cuboid c) Square ii) The length of the diagonal if each edge measures 6cm is a) 3 3 b) 3 6 c) 12 d) 6 3 1 iii) Volume of the solid figure if the length of the edge is 7cm isa)256 cu.cm b)196 cu.cm c) 343 cu.cm d)434 cu.cm 1 d) Sphere BY-SHIVANI KOTWAL 1 12 i) The Great Stupa at Sanchi is one of the oldest stone structures in India, and an important monument of Indian Architecture. It was originally commissioned by the emperor Ashoka in the 3rd century BCE. Its nucleus was a simple hemispherical brick structure built over the relics of the Buddha. .It Is a perfect example of combination of solid figures. A big hemispherical dome with a cuboidal structure mounted on it. Calculate the volume of the hemispherical dome if the height of the dome is 21 m 22 (Take ) 7 a) 19404 cu. m b)2000 cu .m c) 15000 cu. m d) 19000 cu. m ii) The formula to find the Volume of Sphere is- iii) The cloth require to cover the hemispherical dome if the radius of its base is 14m 2 3 a) r 3 4 3 r b) 3 c) 4 r 2 iv) 1 d) 2 r 2 22 7 )is (Take a) 1222 sq .m b)1232 sq m c) 1200 sq. m 1 1 d) 1400 sq.m The total surface area of the combined figure i.e. hemispherical dome with radius 14m and cuboidal shaped top with dimensions 8m x 6m x 4m isa)1200 sq. m b)1232 sq. m c) 1392 sq.m d) 1932 sq. m BY-SHIVANI KOTWAL 1 Chapter-14-Statistics 13 A 100 m Race was organized in a school sports meet. The time was recorded with the help of a stopwatch. A table shown below describes the time in which the race was finished by the number of students - i) Based on the above data answer the questions-: What will be the lower limit of the modal class ? a)30 b) 40 c) 60 d) 20 1 ii) The average time taken by the student to finish the race is a)40 b)47 c) 50 d)30 1 iii) The cumulative frequency table is constructed to determinea)Mean b)Mode c) Median d)All of the above 1 iv) How many students finished the race within 1 minutea)30 b) 40 c)19 d)29 1 BY-SHIVANI KOTWAL Chapter-15-Probability 14 A die is numbered in such a way that its faces show the numbers 1,3,3,4,2,6. It is thrown twice and the product of the score is noted. Complete the table and answer the questions below i) What is the probability if the product is 18 ? ii) iii) iv) a)1/6 b) 1/36 c) 1/18 d) 1/12 What is the probability if the product of the numbers is odd ? a)1/4 b) 1/6 c) 2/9 d) 1/18 What is the probability if the product of the numbers is atleast 10 ? a)1/6 b) 18/36 c) 17/36 d) 2/3 The probability of getting the only even prime number isa)1/4 b) 1/36 c) 1/9 d) 1/18 BY-SHIVANI KOTWAL 1 1 1 1 15 An helicopter is found missing in a rectangular region in the area shown below . i) The probability that the helicopter crashed inside the lake isa) ii) 1 2 5 27 c) 27 5 d) 7 25 The Probability of an event always lie betweena) iii) b) 1 0 P( E ) 1 b) 1 P ( E ) 0 c) 0 P( E ) 1 1 d) P( E ) 1 The Probability of an event can never bea)Negative b) positive c) lies between 0 and 1 BY-SHIVANI KOTWAL 1 d) None of these CBSE SAMPLE PAPER CASE STUDY BASED QUESTIONS-X (BASIC) 1 2 3 4 STANDARD (CASE STUDY BASED QUESTIONS FROM SAMPLE PAPER) 1 2 3 ANSWERS 123456789- i)b i)b i)c i)b i)b i)a i)d i)a i)b ii) a ii) d ii) a ii) a ii) b ii) d ii) b ii) c ii) d iii)b iii)c iii)c iii)b iii)c iii)c iii)c iii)a iv)d iv)b iv)b iv)d v)a 101112131415- i)c i)a i)a i)d i)d i)b ii) c ii)d ii) b ii) b ii) a ii) c iii)a iii)c iii)b iii)c iii)c iii)a iv)c iv)d iv)d CBSE CASE STUDY BASED (BASIC) 1234- i)b i)c i)c i)d ii) a ii) a ii) b ii) a iii)b iii)a iii)b iii)b iv)d iv)a iv)d iv)c v)b v)b v)a v)d CBSE CASE STUDY BASED (STANDARD) 123- a)iii a)iii a)ii b)i b)iv b)i c)iii c)ii c)iii d)iv d)iv d)ii e)ii e)iii e)iii LIKE SHARE AND SUBSCRIBE MY CHANNEL BE MATHAHOLIC BY-SHIVANI KOTWAL

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