MODEL QUESTION PAPERS WITH ANSWERS SET 1

Size: px
Start display at page:

Download "MODEL QUESTION PAPERS WITH ANSWERS SET 1"

Transcription

1 MTHEMTICS MODEL QUESTION PPERS WITH NSWERS SET 1 Finish Line & Beyond CLSS X Time llowed: 3 Hrs Max. Marks : 80 General Instructions: (1) ll questions are compulsory. (2) The question paper consists of 30 questions divided into 4 sections:, B, C and D. Section comprises of 10 questions of 1 marks each. Section B comprises of 5 questions of 2 marks each. Section C comprises of 10 questions of 3 marks each and section D comprises of 5 questions of 6 marks each. (3) ll questions in section are to be answered in one word, one sentence or as per the exact requirement of the question. (4) There is no overall choice. However, internal choice has been provided in one question of 2 marks each, three questions of 3 marks each and two questions of 6 marks each. You have to attempt only one of the alternatives in all scuh questions. (5) In questions on constructions, the drawing should be neat and clean and exactly as per the given measurements. (6) Use of calculator is not permitted. Section Question numbers 1 to 10 carry 1 mark each. p 1. If is a rational number ( q 0 ), what is the condition on q so that q the decimal representation of q p is terminating. If the prime factorization of q is of the form 2 n.5 m, where, n, and m are nonnegative integers, then the decimal representation of q p is terminating. 2. Write the zeroes of the polynomial x²+ 2x + 1. x² + 2x + 1 (x+1) (x+1) So, the value of x² + 2x + 1 will be zero When, x+10 i.e., x -1 Or, x+10 i.e., x -1 So, the zeroes of the given equation are -1 and -1

2 3. Find the value of k so that the following system of equations has no solution: 3x y 5 0; 6x 2y k 0 a Here, a2 6 2 b b2 2 2 c1 5 5 c2 k k a 1 b1 c1 If, a2 b2 c2 Then the system of equations will have no solution. If, k 10, then k So, if k 10, then the equations will have no solution. 4. The nth term of an P is 7 4n. Find its common difference. Let t n denote the nth term of the P. Then t n 7 4n Common Difference d t n - t n -1 Or, d 7 4n [ 7 4 (n 1) ] Or, d 7 4n 7 + 4n 4 Or, d -4 lternate Method, t t t It is clear that common difference is -4

3 5. In the given figure, D 4 cm, BD 3cm and CB 12 cm, find the value of cotθ. 4 D 3 B 12 θ C In BD, using Pythagoras theorem value of B can be calculated as follows: B² D² + BD² 4² + 3² Or, B 5 BC Now, In BC, cotθ B In the given figure, P and Q are points on the sides B and C respectively of BC such that P 3.5 cm, PB 7 cm Q 3 cm and QC 6 cm. If PQ 4.5 cm, find BC. P Q B C

4 P B Q 3 1 C 9 3 So, PQ BC PQ 1 So, BC 3 BC PQ In figure, PQ 24 cm, QR 26 cm, PR 90, pa 6 CM ND ar 8 CM. Find QPR. Q P R Solution. In right PR, we have PR² P² + R² (6)² + (8)² (10)² PR 10 cm QPR, PQ² + PR² (24)² + (10)² PQ² + PR² (26)² QR² QPR In figure, O is the centre of a circle. The area of sector OPB is 18 5 of the area of the circle. Find x.

5 O P B Solution. rea of a sector OPB 18 5 x rea of a circle x 360 X Πr² 18 5 Πr², where r O OB x 18 5 x Thus, x Which measure of central tendency is given by the x-coordinate of the point of intersection of the more than ogive and less than ogive? Solution. The median of a grouped data of central tendency is given by the x- coordinate of the point of intersection of the more than ogive and less than ogive. 10.From a well-shuffled pack of card is drawn at random. Find the probability of getting a black queen. Solution. Well-shuffling ensures equally likely outcomes. Since there are 52 cards in a pack, therefore, the total numbers of possible outcomes 52. There are Two black queens in a pack of 52 cards. Let E be the event getting a black queen, then the number of outcomes favourable to E So, P(E) Section B Question numbers 11 to 15 carry 2 marks each. 11.Find the zeroes of the quadratic polynomial 6x² - 3 7x and verify the relationship between the zeroes and the coefficients of the polynomial.

6 Solution. We have 6x² - 3 7x 6x² - 7x 3 6x² - 3 7x 6x² - 9x + 2x 3 6x² - 3 7x 3x(2x 3) + (2x 3) 6x² - 3 7x (2x 3)(3x + 1) So, the value of 6x² - 3 7x is zero when 2x 3 0 or 3x + 1 0, i.e, when x or x Therefore, the zeroes of 6x² - 3 7x are and Now, Sum of zeroes + ( ) ( 7) (Coeff of - 6 Coeff of x² Product of zeroes x ( ) x) ( 3) 6 Const.Term Coeff of x² Without using the trigonometric tables, evaluate the following : 11 sin 70 4 cos53 cosec cos 20 7 tan15 tan 35 tan 55 tan 75 Solution. We have 11 sin cos 20 4 cos53 cosec tan15 tan 35 tan 55 tan sin(90 20 ). 7 cos 20 4 cos(90 37 ).cosec tan15 tan 35.tan(90 35 ).tan(90 15 ) 11 cos cos cos cos 20 4 sin 37.cosec tan15 tan 35.cot 35.cot15 [ sin( 90 θ ) cosθ,cos(90 θ ) sin θ, tan(90 θ ) cot θ ] 4 sin 37.cosec (tan15.cot15 )(tan35.cot 35 ) (1) (1)(1 )

7 For what value of p, are the points (2,1), (p, -1) and (-1, 3) collinear? Solution. Since the given points are collinear, therefore, the area of the triangle formed by them must be zero, i.e. 1 [x1 (y2 y 3) + x 2(y 3 y 1) + x 3(y 1 y 2)] 0, where 2 x 1 2, y 1 1, x 2 p, y 2-1, x 3-1, y [ 2(-1-3) + p(3 1) + (-1)(1 + 1)] [ p 2] [ p] p 0 p 5 Verification : rea of V 1 [2(-1-3) + 5(3 1) + (-1)(1 +1)] 2 1 [ ] BC is an isosceles triangle, in which B C, circumscribed about a circle. Show that BC is bisected at the point of contact. Solution. BC is an isosceles triangle, in which B C, circumscribed about a circle with centre O. Since tangents drawn from an external point to a circle are equal in length. F E..(1) [Tangents from ] BF BD..(2) [Tangents from B] CD CE..(3) [Tangents from C] dding (1), (2) and (3), we get F + BF + CD E + BD + CE B + CD C + BD But B C (given) CD BD BC is bisected at the point of contact D. F O E B D C Or

8 In figure, a circle is inscribed in quadrilateral BCD in which B 90. If D 23 cm, B 29 cm and DS 5 cm, find the radius of the circle. Q R B O D P S C Solution. Since tangents to a circle is perpendicular to the radius through the point. OPB OQB 90 It is given that B 90. lso, OP OQ. Therefore, OPBQ is a square. Since tangents drawn from an external point to a circle are equal in length. DR DS [Tangents from D] R Q [Tangents from ] nd BP BQ [Tangents from B] Now, DR DS DR 5 [Q DS 5 cm (given)] D R 5 23 R 5 R Q 18 [R Q] B BQ BQ 18 [Q B 29 cm (given)] BQ

9 BQ 11 cm But OPBQ is a square, therefore, OP OQ BP BQ Hence, OP 11 cm, i.e., r 11 cm. 14. die is thrown once. Find the probability of getting (i) a prime number (ii) a number divisible by 2. Solution. s we know that a die has six faces with 1, 2, 3, 4, 5 and 6 written on them. Thus, the total number of outcomes when a die is thrown once are 6, i.e., 1, 2, 3, 4, 5, 6. (i) Since there are 6 equally likely outcomes : 1, 2, 3, 4, 5 or 6 in a single throw of a die and there are 3 ways of getting a prime number, namely, 2, 3 or 5. P(getting a prime number) (ii) Since there are 6 equally likely outcomes : 1, 2, 3, 4, 5 or 6 in a single throw of a die and there are 3 ways of getting a number divisible by 2, namely, 2, 4 or 6. P(getting a number divisible by 2) Section C Question numbers 16 to 25 carry 3 marks each. 15. Show that is an irrational number. Solution. Let us assume, to contrary, that is rational. That is, we can find coprime a and b (b 0) such that a b Therefore, a b 2 3 5b a b 3 5 b a 2b Since a and b are integers, 5 b a 2b is rational, and so 3 is rational. But this contradicts the fact that 3 is irrational. This contradiction has arisen because of our incorrect assumption that 5-2 rational. So, we conclude that is irrational. 3 is 16. Find the roots of the following equation :

10 1 x x 7 11, x -4, Solution. We have 1 x x s x -4, 7, multiplying the equation by (x + 4)(x 7), we get (x 7) (x + 4) 11 (x + 4)(x 7) 30 x 7 x (x + 4)(x 7) (x + 4)(x 7) (x + 4)(x 7) - 30 x² - 7x + 4x -28 x² - 3x So, the given equation reduces to x² - 3x + 2 0, which is a quadratic equation. Here a 1, b -3, c 2. So, b² - 4ac (-3)² - 4(1)(2) > 0 Therefore, x 3 ± 1 3 ± 1 i.e., x 2 or x So, the roots are 1 and Represent the following system of linear equations graphically. From the graph, find the points where the lines intersect y-axis. 3x + y 5 0; 2x y Solution. Given equations are : 3x + y 5 0 y 5 3x..(1) 2x y y 2x 5..(2) Let us draw the graphs of the equations (1) and (2) by finding two solutions for each of these equations. They are given in tables : Y 5 3x y 2x 5 X 0 2 Y 5-1 B X 0 3 y -5 1 C D Y

11 6 5 4 (0,5) 2x y X O D(3,1) B(2,-1) 5 6 X C(0, -5) -3x + y 5 0 Y In figure, we observe that the two lines representing the two equations are intersecting at the point B (2, -1). Hence, x 2 and y -1. The line B cuts the y-axis at the point (0,5) and the line CD cuts the y-axis at the point C(0,-5). 19. The sum of n terms of an.p. is 5n² - 3n. Tind the.p. Hence, find its 10 th term. Solution. Let S n denote the sum of first n terms of an.p., then S n 5n² - 3n nd S n-1 5(n 1)² - 3(n 1) t n S n - S n-1 5n² - 3n [5(n 1)² - 3(n 1)] 5[n² - (n 1)²] 3[n (n 1)] 5[n² - n² + 2n 1] 3(1) 5(2n 1) -3 10n 8 Putting n 1, 2, 3,, we get

12 t 1 10 x 1 8 2, t 2 10 x , t 3 10 x , Clearly, d t 2 t and d t 3 t Thus, the.p. is 2, 12, 22, 32,.. Now, 10 th term of the.p. t 10 a + (10 1 )d 2 + 9(10) Hence, the 10 th term of the.p. is Prove that : cot cos cos ec 1 cot + cos cos ec + 1 Solution. We have cot cos L.H.S cot + cos - cos cos sin + cos 1 cos 1 sin 1 cos + 1 sin 1 1 sin sin cos ec 1 cos ec + 1 R.H.S Prove that: Or (1 + cot cosec )(1 + tan + sec ) 2 Solution. We have

13 L.H.S (1 + cot cosec )(1 + tan + sec ) cos 1 1 sin 1 + sin sin cos cos sin + cos 1 cos + sin + 1 sin cos [(sin + cos ) 1][(sin + cos ) + 1] sin cos (sin + cos )(sin + cos )² - (1)² sin cos sin ² + cos ² + 2sin cos ) 1 sin cos 1 + 2sin cos ) 1 sin cos 2sin cos sin cos 2 RHS 21.Determine the ratio in which the line 3x+4y-90 divides the line segment joining the points (1, 3) and (2, 7). Let the required ratio be k:1 in which the line segment joining the points (1, 3) and (2, 7) be divided by the point R. Then the coordinates of R are 2k + 1 7k, k + 1 k * * * k:1 * (1, 3) R (2, 7) Since the line 3x+4y-9 0 Divides the line segment joining the points (1,3 ) and (2, 7), therefore R lies on the line 3x+4y-90

14 2k + 1 7k k + 1 k + 1 (6k+3)+(28K+12)-(9k-9) 0 (6k+28K-9k)+(3+12-9) 0 25k k Hence the required ratio is - :1, 25 i.e., -6:25 internally Or, 6:25 externally 22. Construct a BC in which B6.5 cm, B 60 and BC 5.5 cm. lso construct a triangle B C similar to BC, whose each side is 2 3 times the corresponding side of the BC. C

15 X C 5.5 cm 6.5 cm B B Y Steps of Construction: 1. Draw a line segment B6.5 cm 2. t B construct BX With B as centre and radius BC5.5 cm draw an arc intersecting BX at C. 4. Join C. Triangle BC so formed is the required triangle. 5. Construct an acute angle BY at on opposite side of vertex C of BC. 6. Locate three points (the greater of 3 and 2 in 2 3 ) 1, 2, 3 on Y such that Join 2 (the 2 nd point, 2 being smaller of 2 and 3 in 2 3 ) to B and draw a line through 3 parallel to 2B, intersecting the extended line segment B at B. 8. Draw a line through B parallel to BC intersecting the extended line segment C at C. Triangle B C so obtained is the required triangle.

16 23. If the diagonals of a quadrilateral divide each other proportionally, prove that it is a trapezium. Given a quadrilateral BCD whose diagonals C and BD intersect each other at O such that O BO OC OD To Prove: Quadrilateral BCD is a trapezium, i.e., B DC D C E O B Construction: Draw OE ll B, meeting D in E. Proof: In BD, we have OE ll B E BO So, ED OD O BO But, OC OD From above equations it is clear that E O ED OC So, from Parallel line s theorem it can be said that EO ll DC EO ll B So, DC ll B or, B ll CD Hence, BCD is a trapezium. lternate Question: Two s BC and DBC are on the same base BC and on the same side of BC in which D 90. If C and BD meet each other at E, show that E. EC BE.ED

17 E D B C In BC and BCD BC BDC (Right ngle) EB DEC (Opposite Cone) So, By theorem of similar triangles, BC DBC So, E BE ED EC Or, E.EC BE.EC proved 24. If the distances of P(x,y) from the points (3,6) and B(-3, 4) are equal, prove that 3x+y 5. Here P(x, y), (3. 6) and B(-3, 4) are given points. It is given that distances of P(x, y) from (3, 6) and B(-3, 4) is equal. So, P BP Or, P 2 BP 2 Or, (x-3)²+(y-6)² (x+3)²+(y-4)² Or, (x²-6x+9)+(y²-12y+36) (x²+6x+9)+(y²-8y+16) Or, -6x-12y+45 6x-8y+25 Or, 6x+6x-8y+12y45-25 Or, 12x+4y 20 Or, 3x+y 5 proved 25. In the given figure, find the perimeter of the shaded region where DC, EB and BFC are semi-circles on diameters C, B and BC respectively. D E 2.8 cm B 1.4 cm F C

18 The sum total of perimeters of semicircles EB, DC and BFC will give the perimeter of the shaded figure. d Perimeter of Semicircle EB Perimeter of Semicircle DC Perimeter of Semicircle BFC So, the required perimeter cms lternate Question: Find the area of the shaded region in the figure, where BCD is a square of side 14 cm. B D C

19 reas of four circles subtracted from the area of square will give the area of the shaded region. Radius of one circle will be equal to 1/4 th of the side of the square. rea of Square Side² 14² rea of one circle Πr² So, rea of four circles So, rea of shaded region cm² SECTION D Question numbers 26 to 30 carry 6 marks each. 26. In a class test, the sum of the marks obtained by P in the Mathematics and Science is 28. Had he got 3 more marks in Mathematics and 4 less marks in Science, the product of marks obtained by him would have been 180. Find the marks obtained in two subjects separately. Let us assume that marks obtained by P in Math M and in Science S So, as per question, M+S (1) (M+3)(S-4) (2) From equation (1) M 28-S Putting value of M in equation (2) we get (28-S+3)(S-4) 180 (31-S)(S-4) S -S² Or, -S²+35S 304 Or, S²-35S Or, S²-19S-16S Or, S(S-19)-16(S-19) 0 Or, S16 or S19 If, S 16 then M Then (12+3)(16-4) If, S19 then M Then (9+3)(19-4) lternate Question: The sum of reas of two squares is 640 m². If the difference in their perimeters be 64 m, find the sides of the two squares. Let us assume that the side of one square is S 1 and that of another square is S 2

20 Then, S 1²+S 2² 640 nd, 4S 1-4S 2 64 Or, S 1-S (1) Or, S 1 16-S 2 Then, (16-S 2)²+( S 2)² 640 Or, 256+S 2²-32S 2+ S 2² 640 Or, S 2²+16S Or, S 2²+16S Or, S 2²+24 S 2-8 S Or, S 2(S 2+24)-8(S 2+24) 0 Or, S 2-24 or +8 s side of a square can t be negative so lets take 8 as the side of one of the squares. From equation (1) it is clear that the side of another square is 24 m. Sum of reas 8²+24² Difference in Perimeters Note: lways cross check your answers by testing if they fulfill the conditions given in the question. 27. statue 1.46 m tall, stands on the top of a pedestal. From a point on the ground, the angle of elevation of the top of the statue is 60 and from the same point, the angle of elevation of the top of the pedestal is 45. Find the height of the pedestal. (use ) 14.6 m B C D

21 BC In BCD tan 45 CD Or, BC 1 CD Or, BC CD C In CD tan 60 CD CDBC Or, BC 3 BC Or, 1.73 BC BC Or, 1.73 BC BC 1.46 Or, 0.73 BC1.46 Or, 1.46 BC 2 m Prove that the ratio of areas of two triangles is equal to the ratio of the squares of their corresponding sides. Using the above results, prove the following:

22 In BC, XY is parallel to BC and it divides BC into two equal parts areawise. BX 2 1 Prove that D B 2 B G C E H F Given : BC DEF. rea BC BC² B² C² To Prove: rea DEF EF² DE² F² Construction: Draw G BC and DH EF Now, ar( BC) ar( DEF) 1 2 BC G 1 2 BC EF DH Or, ar( BC) G ar( DEF) EF DH Now, In BG & DEH B E GB DHE Hence, BG DEH So, B G DE DH But, B BC DE EF So, G BC DH EF So, ar( BC) BC BC BC² ar( DEF) EF EF EF² Similarly it can be proved that

23 ar( BC) B² C² ar( DEF) DE² DF² Second Part of the Question: In XY and BC, we have XY B (Corresponding ngles on Parallel Lines) So XY BC ar( XY ) X ² So, ar( BC) B² ar( XY ) X ² Or, 2ar( XY ) B² X ² 1 Or, B² 2 X 1 Or, B 2 B BX 1 Or, B 2 BX 1 Or, 1- B 2 BX 1 Or, 1 B 2 Or, BX B 2 1 Proved gulab jamun, when ready for eating, contains sugar syrup of about 30% of its volume. Find approximately how much syrup would be found in 45 such gulab jamuns, each shaped like a cylinder with two hemispherical ends if the complete length of each of them is 5 cm and its diameter is 2.8 cms. The volume of gulab jamun can be calculated by adding volumes of two hemispheres and one cylinder. Here the radius of cylinder and that of hemisphere is 1.4 cms and height of cylinder is 5 cms. Volume of syrup in one gulab jamun will be 30% of its volume. 5 cms 2.8 cms

24 4 Volume of 2 hemispheres r Volume of cylinder r²h So, volume of gulabjamun Hence, volume of syrup in 45 gulabjamuns % cm container shaped like a right circular cylinder having diameter 12 cm and height 15 cm is full of ice-cream. This ice cream is to be filled into cones of height 12 cm and diameter 6 cm, having a hemispherical shape on the top. Find the number of such cones which can be filled with icecream. Radius of Cylinder 6 cm Height of Cylinder 15 cm Volume of Cylinder r²h 6² Volume of Cones 3 1 Π r²h 3 1 Π3² Π Volume of Hemispherical top 3 2 Πr³ 3 2 Π3³ 18Π So, volume of ice-cream Π(36+18) 54Π

25 Number of cones required cones 31. survey regarding the heights (in cms) of 50 girls of class X of a school was conducted and the following data was obtained. Height in cms Total Number of Girls Find the mean, median and mode of the above data The cumulative frequency distribution with the given frequency becomes: Height (In cms) Number Of Girls (f 1) Cumulative Frequency (cf) Class Mark (x 1) d 1x x1-145 U f 0 22 cf 145a f f Total N f i50 f iu i f 1u1 From the table, n f i 50 2 n 25 a 145 h 10 Using the formula for calculating the mean: Mean a+ fiui fi h Now, is the class whose frequency 42 is greater than 2 n 25 Therefore, is the median class. Thus, the lower limit (l) of the median class is 150.

26 n cf Median l + 2 h f Since the maximum number of girls is 20, therefore, the modal class is Thus, the lower limit (l) of the modal class is 150. Using the formula for calculating the mode: fi fo Mode l + 2 fi fo f h

SAMPLE QUESTION PAPER 11 Class-X ( ) Mathematics

SAMPLE QUESTION PAPER 11 Class-X ( ) Mathematics SAMPLE QUESTION PAPER 11 Class-X (2017 18) Mathematics GENERAL INSTRUCTIONS (i) All questions are compulsory. (ii) The question paper consists of 30 questions divided into four sections A, B,C and D. (iii)

More information

[Class-X] MATHEMATICS SESSION:

[Class-X] MATHEMATICS SESSION: [Class-X] MTHEMTICS SESSION:017-18 Time allowed: 3 hrs. Maximum Marks : 80 General Instructions : (i) ll questions are compulsory. (ii) This question paper consists of 30 questions divided into four sections,

More information

MATHEMATICS. Time allowed : 3 hours Maximum Marks : 100 QUESTION PAPER CODE 30/1/1 SECTION - A

MATHEMATICS. Time allowed : 3 hours Maximum Marks : 100 QUESTION PAPER CODE 30/1/1 SECTION - A MATHEMATICS Time allowed : 3 hours Maximum Marks : 100 GENERAL INSTRUCTIONS : 1. All questions are compulsory 2. The question paper consists of 30 questions divided into four sections - A, B, C and D.

More information

Solutions to RSPL/1. Mathematics 10

Solutions to RSPL/1. Mathematics 10 Solutions to RSPL/. It is given that 3 is a zero of f(x) x 3x + p. \ (x 3) is a factor of f(x). So, (3) 3(3) + p 0 8 9 + p 0 p 9 Thus, the polynomial is x 3x 9. Now, x 3x 9 x 6x + 3x 9 x(x 3) + 3(x 3)

More information

1 / 23

1 / 23 CBSE-XII-017 EXAMINATION CBSE-X-008 EXAMINATION MATHEMATICS Series: RLH/ Paper & Solution Code: 30//1 Time: 3 Hrs. Max. Marks: 80 General Instuctions : (i) All questions are compulsory. (ii) The question

More information

CBSE Board Class X Mathematics

CBSE Board Class X Mathematics CBSE Board Class X Mathematics Time: 3 hrs Total Marks: 80 General Instructions: 1. All questions are compulsory.. The question paper consists of 30 questions divided into four sections A, B, C, and D.

More information

Class X Mathematics Sample Question Paper Time allowed: 3 Hours Max. Marks: 80. Section-A

Class X Mathematics Sample Question Paper Time allowed: 3 Hours Max. Marks: 80. Section-A Class X Mathematics Sample Question Paper 08-9 Time allowed: Hours Max. Marks: 80 General Instructions:. All the questions are compulsory.. The questions paper consists of 0 questions divided into sections

More information

CBSE CLASS-10 MARCH 2018

CBSE CLASS-10 MARCH 2018 CBSE CLASS-10 MARCH 2018 MATHEMATICS Time : 2.30 hrs QUESTION & ANSWER Marks : 80 General Instructions : i. All questions are compulsory ii. This question paper consists of 30 questions divided into four

More information

Class X Delhi Math Set-3 Section A

Class X Delhi Math Set-3 Section A Class X Delhi Math Set-3 Section A 1. The angle of depression of a car, standing on the ground, from the top of a 75 m high tower, is 30. The distance of the car from the base of the tower (in m.) is:

More information

1 / 23

1 / 23 CBSE-XII-07 EXAMINATION CBSE-X-009 EXAMINATION MATHEMATICS Series: HRL Paper & Solution Code: 0/ Time: Hrs. Max. Marks: 80 General Instuctions : (i) All questions are compulsory. (ii) The question paper

More information

MT - w A.P. SET CODE MT - w - MATHEMATICS (71) GEOMETRY- SET - A (E) Time : 2 Hours Preliminary Model Answer Paper Max.

MT - w A.P. SET CODE MT - w - MATHEMATICS (71) GEOMETRY- SET - A (E) Time : 2 Hours Preliminary Model Answer Paper Max. .P. SET CODE.. Solve NY FIVE of the following : (i) ( BE) ( BD) ( BE) ( BD) BE D 6 9 MT - w 07 00 - MT - w - MTHEMTICS (7) GEOMETRY- (E) Time : Hours Preliminary Model nswer Paper Max. Marks : 40 [Triangles

More information

1 / 23

1 / 23 CBSE-XII-07 EXAMINATION CBSE-X-00 EXAMINATION MATHEMATICS Series: LRH/ Paper & Solution Code: 30// Time: 3 Hrs. Max. Marks: 80 General Instuctions : (i) All questions are compulsory. (ii) The question

More information

1 / 24

1 / 24 CBSE-XII-017 EXAMINATION CBSE-X-01 EXAMINATION MATHEMATICS Paper & Solution Time: 3 Hrs. Max. Marks: 90 General Instuctions : 1. All questions are compulsory.. The question paper consists of 34 questions

More information

Question 1 ( 1.0 marks) places of decimals? Solution: Now, on dividing by 2, we obtain =

Question 1 ( 1.0 marks) places of decimals? Solution: Now, on dividing by 2, we obtain = Question 1 ( 1.0 marks) The decimal expansion of the rational number places of decimals? will terminate after how many The given expression i.e., can be rewritten as Now, on dividing 0.043 by 2, we obtain

More information

KENDRIYA VIDYALAYA SANGATHAN, HYDERABAD REGION

KENDRIYA VIDYALAYA SANGATHAN, HYDERABAD REGION KENDRIYA VIDYALAYA SANGATHAN, HYDERABAD REGION SAMPLE PAPER 01 (2017-18) SUBJECT: MATHEMATICS(041) BLUE PRINT : CLASS X Unit Chapter VSA (1 mark) SA I (2 marks) SA II (3 marks) LA (4 marks) Total Unit

More information

Paper: 02 Class-X-Math: Summative Assessment - I

Paper: 02 Class-X-Math: Summative Assessment - I 1 P a g e Paper: 02 Class-X-Math: Summative Assessment - I Total marks of the paper: 90 Total time of the paper: 3.5 hrs Questions: 1] The relation connecting the measures of central tendencies is [Marks:1]

More information

CBSE MATHEMATICS (SET-2)_2019

CBSE MATHEMATICS (SET-2)_2019 CBSE 09 MATHEMATICS (SET-) (Solutions). OC AB (AB is tangent to the smaller circle) In OBC a b CB CB a b CB a b AB CB (Perpendicular from the centre bisects the chord) AB a b. In PQS PQ 4 (By Pythagoras

More information

CLASS X FORMULAE MATHS

CLASS X FORMULAE MATHS Real numbers: Euclid s division lemma Given positive integers a and b, there exist whole numbers q and r satisfying a = bq + r, 0 r < b. Euclid s division algorithm: This is based on Euclid s division

More information

CBSE Class X Mathematics Sample Paper 04

CBSE Class X Mathematics Sample Paper 04 CBSE Class X Mathematics Sample Paper 04 Time Allowed: 3 Hours Max Marks: 80 General Instructions: i All questions are compulsory ii The question paper consists of 30 questions divided into four sections

More information

SAMPLE QUESTION PAPER Class-X ( ) Mathematics. Time allowed: 3 Hours Max. Marks: 80

SAMPLE QUESTION PAPER Class-X ( ) Mathematics. Time allowed: 3 Hours Max. Marks: 80 SAMPLE QUESTION PAPER Class-X (017 18) Mathematics Time allowed: 3 Hours Max. Marks: 80 General Instructions: (i) All questions are compulsory. (ii) The question paper consists of 30 questions divided

More information

SUMMATIVE ASSESSMENT I, 2012 / MATHEMATICS. X / Class X

SUMMATIVE ASSESSMENT I, 2012 / MATHEMATICS. X / Class X I, 0 SUMMATIVE ASSESSMENT I, 0 MA-0 / MATHEMATICS X / Class X 90 Time allowed : hours Maximum Marks : 90 (i) (ii) 4 8 6 0 0 4 (iii) 8 (iv) (v) 4 General Instructions: (i) All questions are compulsory.

More information

DESIGN OF THE QUESTION PAPER Mathematics Class X NCERT. Time : 3 Hours Maximum Marks : 80

DESIGN OF THE QUESTION PAPER Mathematics Class X NCERT. Time : 3 Hours Maximum Marks : 80 DESIGN OF THE QUESTION PAPER Mathematics Class X Weightage and the distribution of marks over different dimensions of the question shall be as follows: (A) Weightage to Content/ Subject Units : S.No. Content

More information

PRE BOARD EXAMINATION CODE : E SESSION CLASS : X MAXIMUM MARKS: 80 SECTION A

PRE BOARD EXAMINATION CODE : E SESSION CLASS : X MAXIMUM MARKS: 80 SECTION A PRE BOARD EXAMINATION CODE : E SESSION 017-018 CLASS : X MAXIMUM MARKS: 80 SUBJECT : MATHEMATICS TIME : HOURS General Instructions: (i) All questions are compulsory. (ii) The question paper consists of

More information

CBSE Sample Question Paper 1 ( )

CBSE Sample Question Paper 1 ( ) CBSE Sample Question Paper (07-8 Time: Hours Maximum Marks: 80 General Instructions: (i All questions are compulsory. (ii The question paper consists of 0 questions divided into four sections A, B, C and

More information

CBSE CLASS X MATH -SOLUTION Therefore, 0.6, 0.25 and 0.3 are greater than or equal to 0 and less than or equal to 1.

CBSE CLASS X MATH -SOLUTION Therefore, 0.6, 0.25 and 0.3 are greater than or equal to 0 and less than or equal to 1. CBSE CLASS X MATH -SOLUTION 011 Q1 The probability of an event is always greater than or equal to zero and less than or equal to one. Here, 3 5 = 0.6 5% = 5 100 = 0.5 Therefore, 0.6, 0.5 and 0.3 are greater

More information

KENDRIYA VIDYALAYA GACHIBOWLI, GPRA CAMPUS, HYD-32. SECTION A Questions 1 to 6 carry 1 mark each.

KENDRIYA VIDYALAYA GACHIBOWLI, GPRA CAMPUS, HYD-32. SECTION A Questions 1 to 6 carry 1 mark each. KENDRIYA VIDYALAYA GACHIBOWLI, GPRA CAMPUS, HYD-32 SAMPLE PAPER TEST 10 (2018-19) (SAMPLE ANSWERS) SUBJECT: MATHEMATICS MAX. MARKS : 80 CLASS : X DURATION : 3 HRS General Instruction: (i) All questions

More information

Time: 3 Hrs. M.M. 90

Time: 3 Hrs. M.M. 90 Class: X Subject: Mathematics Topic: SA1 No. of Questions: 34 Time: 3 Hrs. M.M. 90 General Instructions: 1. All questions are compulsory. 2. The questions paper consists of 34 questions divided into four

More information

MT EDUCARE LTD. SUMMATIVE ASSESSMENT Roll No. Code No. 31/1

MT EDUCARE LTD. SUMMATIVE ASSESSMENT Roll No. Code No. 31/1 CBSE - X MT EDUCARE LTD. SUMMATIVE ASSESSMENT - 03-4 Roll No. Code No. 3/ Series RLH Please check that this question paper contains 6 printed pages. Code number given on the right hand side of the question

More information

CBSE Class X Mathematics Board Paper 2019 All India Set 3 Time: 3 hours Total Marks: 80

CBSE Class X Mathematics Board Paper 2019 All India Set 3 Time: 3 hours Total Marks: 80 CBSE Class X Mathematics Board Paper 2019 All India Set 3 Time: 3 hours Total Marks: 80 General Instructions: (i) All questions are compulsory. (ii) The question paper consists of 30 questions divided

More information

KENDRIYA VIDYALAYA SANGATHAN, HYDERABAD REGION

KENDRIYA VIDYALAYA SANGATHAN, HYDERABAD REGION KENDRIYA VIDYALAYA SANGATHAN, HYDERABAD REGION SAMPLE PAPER 03 (2017-18) SUBJECT: MATHEMATICS(041) BLUE PRINT : CLASS X Unit Chapter VSA (1 mark) SA I (2 marks) SA II (3 marks) LA (4 marks) Total Unit

More information

Blue print Chapters 1mark 2marks 3marks 4marks total

Blue print Chapters 1mark 2marks 3marks 4marks total PRE-BOARD SAMPLE PAPER 2018-19 CLASS-X BLUEPRINT Blue print Chapters 1mark 2marks 3marks 4marks total real numbers 1 1 5 Polynomials 1 1 4 Linear equations 1 1 6 quadratic equation 1 1 6 A.P. 1 4 Triangles

More information

KENDRIYA VIDYALAYA SANGATHAN, HYDERABAD REGION

KENDRIYA VIDYALAYA SANGATHAN, HYDERABAD REGION KENDRIYA VIDYALAYA SANGATHAN, HYDERABAD REGION SAMPLE PAPER 04 (2017-18) SUBJECT: MATHEMATICS(041) BLUE PRINT : CLASS X Unit Chapter VSA (1 mark) SA I (2 marks) SA II (3 marks) LA (4 marks) Total Unit

More information

Time : 2 Hours (Pages 3) Max. Marks : 40. Q.1. Solve the following : (Any 5) 5 In PQR, m Q = 90º, m P = 30º, m R = 60º. If PR = 8 cm, find QR.

Time : 2 Hours (Pages 3) Max. Marks : 40. Q.1. Solve the following : (Any 5) 5 In PQR, m Q = 90º, m P = 30º, m R = 60º. If PR = 8 cm, find QR. Q.P. SET CODE Q.1. Solve the following : (ny 5) 5 (i) (ii) In PQR, m Q 90º, m P 0º, m R 60º. If PR 8 cm, find QR. O is the centre of the circle. If m C 80º, the find m (arc C) and m (arc C). Seat No. 01

More information

MATHEMATICS FORMULAE AND CONCEPTS. for CLASS X CHAPTER WISE IMPORTANT FORMULAS & CONCEPTS, Prepared by

MATHEMATICS FORMULAE AND CONCEPTS. for CLASS X CHAPTER WISE IMPORTANT FORMULAS & CONCEPTS, Prepared by MATHEMATICS FORMULAE AND CONCEPTS for CLASS X 017 18 CHAPTER WISE IMPORTANT FORMULAS & CONCEPTS, Prepared by M. S. KUMARSWAMY, TGT(MATHS) M. Sc. Gold Medallist (Elect.), B. Ed. Kendriya Vidyalaya GaCHiBOWli

More information

KENDRIYA VIDYALAYA GACHIBOWLI, GPRA CAMPUS, HYD 32

KENDRIYA VIDYALAYA GACHIBOWLI, GPRA CAMPUS, HYD 32 KENDRIYA VIDYALAYA GACHIBOWLI, GPRA CAMPUS, HYD 32 SAMPLE PAPER 05 (2018-19) SUBJECT: MATHEMATICS(041) BLUE PRINT : CLASS X Unit Chapter VSA (1 mark) SA I (2 marks) SA II (3 marks) LA (4 marks) Total Unit

More information

C.B.S.E Class X

C.B.S.E Class X SOLVE PPER with SE Marking Scheme..S.E. 08 lass X elhi & Outside elhi Set Mathematics Time : Hours Ma. Marks : 80 General Instructions : (i) ll questions in both the sections are compulsory. (ii) This

More information

Mathematics CLASS : X. Time: 3hrs Max. Marks: 90. 2) If a, 2 are three consecutive terms of an A.P., then the value of a.

Mathematics CLASS : X. Time: 3hrs Max. Marks: 90. 2) If a, 2 are three consecutive terms of an A.P., then the value of a. 1 SAMPLE PAPER 4 (SAII) MR AMIT. KV NANGALBHUR Mathematics CLASS : X Time: 3hrs Max. Marks: 90 General Instruction:- 1. All questions are Compulsory. The question paper consists of 34 questions divided

More information

SAMPLE PAPER 3 (SA II) Mathematics CLASS : X. Time: 3hrs Max. Marks: 90

SAMPLE PAPER 3 (SA II) Mathematics CLASS : X. Time: 3hrs Max. Marks: 90 1 SAMPLE PAPER 3 (SA II) MRS.KIRAN WANGNOO Mathematics CLASS : X Time: 3hrs Max. Marks: 90 General Instruction:- 1. All questions are Compulsory. 1. The question paper consists of 34 questions divided

More information

MT EDUCARE LTD. SUMMATIVE ASSESSMENT Roll No. Code No. 31/1

MT EDUCARE LTD. SUMMATIVE ASSESSMENT Roll No. Code No. 31/1 CBSE - X MT EDUCARE LTD. SUMMATIVE ASSESSMENT - 03-4 Roll No. Code No. 3/ Series RLH Please check that this question paper contains 6 printed pages. Code number given on the right hand side of the question

More information

Paper: 03 Class-X-Math: Summative Assessment - I

Paper: 03 Class-X-Math: Summative Assessment - I 1 P a g e Paper: 03 Class-X-Math: Summative Assessment - I Total marks of the paper: 90 Total time of the paper: 3.5 hrs Questions: 1] Triangle ABC is similar to triangle DEF and their areas are 64 cm

More information

It is known that the length of the tangents drawn from an external point to a circle is equal.

It is known that the length of the tangents drawn from an external point to a circle is equal. CBSE -MATHS-SET 1-2014 Q1. The first three terms of an AP are 3y-1, 3y+5 and 5y+1, respectively. We need to find the value of y. We know that if a, b and c are in AP, then: b a = c b 2b = a + c 2 (3y+5)

More information

KENDRIYA VIDYALAYA SANGATHAN, HYDERABAD REGION

KENDRIYA VIDYALAYA SANGATHAN, HYDERABAD REGION KENDRIYA VIDYALAYA SANGATHAN, HYDERABAD REGION SAMPLE PAPER 08 (2017-18) SUBJECT: MATHEMATICS(041) BLUE PRINT : CLASS X Unit Chapter VSA (1 mark) SA I (2 marks) SA II (3 marks) LA (4 marks) Total Unit

More information

CBSE QUESTION PAPER CLASS-X MATHS

CBSE QUESTION PAPER CLASS-X MATHS CBSE QUESTION PAPER CLASS-X MATHS SECTION - A Question 1: In figure, AB = 5 3 cm, DC = 4cm, BD = 3cm, then tan θ is (a) (b) (c) (d) 1 3 2 3 4 3 5 3 Question 2: In figure, what values of x will make DE

More information

1 / 22

1 / 22 CBSE-XII-017 EXAMINATION MATHEMATICS Paper & Solution Time: 3 Hrs. Max. Marks: 90 General Instructions : (i) All questions are compulsory. (ii) The question paper consists of 31 questions divided into

More information

Mathematics. Sample Question Paper. Class 10th. (Detailed Solutions) Mathematics Class X. 2. Given, equa tion is 4 5 x 5x

Mathematics. Sample Question Paper. Class 10th. (Detailed Solutions) Mathematics Class X. 2. Given, equa tion is 4 5 x 5x Sample Question Paper (Detailed Solutions Matematics lass 0t 4 Matematics lass X. Let p( a 6 a be divisible by ( a, if p( a 0. Ten, p( a a a( a 6 a a a 6 a 6 a 0 Hence, remainder is (6 a.. Given, equa

More information

MATHEMATICS. IMPORTANT FORMULAE AND CONCEPTS for. Summative Assessment -II. Revision CLASS X Prepared by

MATHEMATICS. IMPORTANT FORMULAE AND CONCEPTS for. Summative Assessment -II. Revision CLASS X Prepared by MATHEMATICS IMPORTANT FORMULAE AND CONCEPTS for Summative Assessment -II Revision CLASS X 06 7 Prepared by M. S. KUMARSWAMY, TGT(MATHS) M. Sc. Gold Medallist (Elect.), B. Ed. Kendriya Vidyalaya GaCHiBOWli

More information

CBSE QUESTION PAPER CLASS-X MATHS

CBSE QUESTION PAPER CLASS-X MATHS CBSE QUESTION PAPER CLASS-X MATHS SECTION - A Question 1:If sin α = 1 2, then the value of 4 cos3 α 3 cos α is (a)0 (b)1 (c) 1 (d)2 Question 2: If cos 2θ = sin(θ 12 ), where2θ and (θ 12 ) are both acute

More information

SAMPLE QUESTION PAPER 09 Class-X ( ) Mathematics

SAMPLE QUESTION PAPER 09 Class-X ( ) Mathematics SAMPLE QUESTION PAPER 09 Class-X (2017 18) Mathematics Time allowed: 3 Hours Max. Marks: 80 General Instructions: (i) All questions are compulsory. (ii) The question paper consists of 30 questions divided

More information

Time : 2 Hours Preliminary Model Answer Paper Max. Marks : 40. [Given] [Taking square roots]

Time : 2 Hours Preliminary Model Answer Paper Max. Marks : 40. [Given] [Taking square roots] .P. SET CODE MT - w 05 00 - MT - w - MTHEMTICS (7) GEOMETRY - (E) Time : Hours Preliminary Model nswer Paper Max. Marks : 40.. ttempt NY FIVE of the following : (i) BC ~ PQ [Given] ( BC) ( PQ) BC PQ [reas

More information

KENDRIYA VIDYALAYA GACHIBOWLI, GPRA CAMPUS, HYD-32. SECTION A Questions 1 to 6 carry 1 mark each.

KENDRIYA VIDYALAYA GACHIBOWLI, GPRA CAMPUS, HYD-32. SECTION A Questions 1 to 6 carry 1 mark each. KENDRIYA VIDYALAYA GACHIBOWLI, GPRA CAMPUS, HYD-32 SAMPLE PAPER TEST 05 (2018-19) (SAMPLE ANSWERS) SUBJECT: MATHEMATICS MAX. MARKS : 80 CLASS : X DURATION : 3 HRS SECTION A Questions 1 to 6 carry 1 mark

More information

MATHEMATICS ( CANDIDATES WITH PRACTICALS/INTERNAL ASSESSMENT ) ( CANDIDATES WITHOUT PRACTICALS/INTERNAL ASSESSMENT )

MATHEMATICS ( CANDIDATES WITH PRACTICALS/INTERNAL ASSESSMENT ) ( CANDIDATES WITHOUT PRACTICALS/INTERNAL ASSESSMENT ) Total No. of Printed Pages 6 X/3/M 0 3 MATHEMATICS ( CANDIDATES WITH PRACTICALS/INTERNAL ASSESSMENT ) Full Marks : 80 Pass Marks : 4 ( CANDIDATES WITHOUT PRACTICALS/INTERNAL ASSESSMENT ) Full Marks : 00

More information

KENDRIYA VIDYALAYA GACHIBOWLI, GPRA CAMPUS, HYD 32

KENDRIYA VIDYALAYA GACHIBOWLI, GPRA CAMPUS, HYD 32 KENDRIYA VIDYALAYA GACHIBOWLI, GPRA CAMPUS, HYD 32 SAMPLE PAPER 03 (2018-19) SUBJECT: MATHEMATICS(041) BLUE PRINT : CLASS X Unit Chapter VSA (1 mark) SA I (2 marks) SA II (3 marks) LA (4 marks) Total Unit

More information

Q.1 If a, b, c are distinct positive real in H.P., then the value of the expression, (A) 1 (B) 2 (C) 3 (D) 4. (A) 2 (B) 5/2 (C) 3 (D) none of these

Q.1 If a, b, c are distinct positive real in H.P., then the value of the expression, (A) 1 (B) 2 (C) 3 (D) 4. (A) 2 (B) 5/2 (C) 3 (D) none of these Q. If a, b, c are distinct positive real in H.P., then the value of the expression, b a b c + is equal to b a b c () (C) (D) 4 Q. In a triangle BC, (b + c) = a bc where is the circumradius of the triangle.

More information

MATHEMATICS ( CANDIDATES WITH PRACTICALS/INTERNAL ASSESSMENT ) ( CANDIDATES WITHOUT PRACTICALS/INTERNAL ASSESSMENT )

MATHEMATICS ( CANDIDATES WITH PRACTICALS/INTERNAL ASSESSMENT ) ( CANDIDATES WITHOUT PRACTICALS/INTERNAL ASSESSMENT ) Total No. of Printed Pages 6 X/5/M 0 5 MATHEMATICS ( CANDIDATES WITH PRACTICALS/INTERNAL ASSESSMENT ) Full Marks : 80 Pass Marks : 4 ( CANDIDATES WITHOUT PRACTICALS/INTERNAL ASSESSMENT ) Full Marks : 00

More information

CCE RR KARNATAKA SECONDARY EDUCATION EXAMINATION BOARD, MALLESWARAM, BANGALORE G È.G È.G È.. Æ fioê, d È 2017

CCE RR KARNATAKA SECONDARY EDUCATION EXAMINATION BOARD, MALLESWARAM, BANGALORE G È.G È.G È.. Æ fioê, d È 2017 CCE RR O %lo ÆË v ÃO y Æ fio» flms ÿ,» fl Ê«fiÀ M, ÊMV fl 560 00 KRNTK SECONDRY EDUCTION EXMINTION BORD, MLLESWRM, BNGLORE 560 00 G È.G È.G È.. Æ fioê, d È 07 S. S. L. C. EXMINTION, JUNE, 07» D} V fl MODEL

More information

DESIGN OF THE QUESTION PAPER Mathematics Class X

DESIGN OF THE QUESTION PAPER Mathematics Class X SET-I DESIGN OF THE QUESTION PAPER Mathematics Class X Time : 3 Hours Maximum Marks : 80 Weightage and the distribution of marks over different dimensions of the question shall be as follows: (A) Weightage

More information

KENDRIYA VIDYALAYA SANGATHAN, HYDERABAD REGION

KENDRIYA VIDYALAYA SANGATHAN, HYDERABAD REGION KENDRIYA VIDYALAYA SANGATHAN, HYDERABAD REGION SAMPLE PAPER 07 (017-18) SUBJECT: MATHEMATICS(041) BLUE PRINT : CLASS X Unit Chapter VSA (1 mark) SA I ( marks) SA II (3 marks) LA (4 marks) Total Unit Total

More information

MT - MATHEMATICS (71) GEOMETRY - PRELIM II - PAPER - 6 (E)

MT - MATHEMATICS (71) GEOMETRY - PRELIM II - PAPER - 6 (E) 04 00 Seat No. MT - MTHEMTIS (7) GEOMETRY - PRELIM II - (E) Time : Hours (Pages 3) Max. Marks : 40 Note : ll questions are compulsory. Use of calculator is not allowed. Q.. Solve NY FIVE of the following

More information

KENDRIYA VIDYALAYA SANGATHAN, HYDERABAD REGION

KENDRIYA VIDYALAYA SANGATHAN, HYDERABAD REGION KENDRIYA VIDYALAYA SANGATHAN, HYDERABAD REGION SAMPLE PAPER 02 F PERIODIC TEST III EXAM (2017-18) SUBJECT: MATHEMATICS(041) BLUE PRINT : CLASS IX Unit Chapter VSA (1 mark) SA I (2 marks) SA II (3 marks)

More information

ANSWER KEY & SOLUTIONS

ANSWER KEY & SOLUTIONS PRE-HALFYEARLY ASSESSMENT- [P-H-A MATHS SYLLABUS] ANSWER KEY & SOLUTIONS General Instructions:. The question paper comprises of four sections, A, B, C & D.. All questions are compulsory. 3. Section A Q

More information

9 th CBSE Mega Test - II

9 th CBSE Mega Test - II 9 th CBSE Mega Test - II Time: 3 hours Max. Marks: 90 General Instructions All questions are compulsory. The question paper consists of 34 questions divided into four sections A, B, C and D. Section A

More information

Regd. Office : Aakash Tower, Plot No.-4, Sec-11, MLU, Dwarka, New Delhi Ph.: Fax :

Regd. Office : Aakash Tower, Plot No.-4, Sec-11, MLU, Dwarka, New Delhi Ph.: Fax : Regd. Office : akash Tower, Plot No.-, Sec-, MLU, Dwarka, New Delhi-007 Ph.: 0-766 Fax : 0-767 dmission-cum-scholarship Test (Sample Paper) First Step Course for JEE (Main & dvanced) 0-07 (Syllabus of

More information

MOCK CBSE BOARD EXAM MATHEMATICS. CLASS X (Paper 2) (AS PER THE GUIDELINES OF CBSE)

MOCK CBSE BOARD EXAM MATHEMATICS. CLASS X (Paper 2) (AS PER THE GUIDELINES OF CBSE) MOCK CBSE BORD EXM MTHEMTICS CLSS X (Paper ) (S PER THE GUIDELINES OF CBSE) Time: Hours Max. Marks: 80 General Instructions. ll the questions are compulsory.. The question paper consists of 0 questions

More information

KENDRIYA VIDYALAYA GACHIBOWLI, GPRA CAMPUS, HYD 32

KENDRIYA VIDYALAYA GACHIBOWLI, GPRA CAMPUS, HYD 32 KENDRIYA VIDYALAYA GACHIBOWLI, GPRA CAMPUS, HYD 32 SAMPLE PAPER 09 (2018-19) SUBJECT: MATHEMATICS(041) BLUE PRINT : CLASS X Unit Chapter VSA (1 mark) SA I (2 marks) SA II (3 marks) LA (4 marks) Total Unit

More information

SAMPLE QUESTION PAPER Class-X ( ) Mathematics. Time allowed: 3 Hours Max. Marks: 80

SAMPLE QUESTION PAPER Class-X ( ) Mathematics. Time allowed: 3 Hours Max. Marks: 80 SAMPLE QUESTION PAPER Class-X (017 18) Mathematics Time allowed: 3 Hours Max. Marks: 80 General Instructions: (i) All questions are compulsory. (ii) The question paper consists of 30 questions divided

More information

Class X Mathematics Sample Question Paper Time allowed: 3 Hours Max. Marks: 80. Section-A

Class X Mathematics Sample Question Paper Time allowed: 3 Hours Max. Marks: 80. Section-A Class X Mathematics Sample Question Paper 08-9 Time allowed: Hours Max. Marks: 80 General Instructions:. All the questions are compulsory.. The questions paper consists of 0 questions divided into sections

More information

Solution Of Class 10 th CBSE SA-II Board (Set-1)Mathematics

Solution Of Class 10 th CBSE SA-II Board (Set-1)Mathematics L.K. Gupta (Mathematic Classes) www.poineermathematics.com. MOBILE: 98155771, 461771 Solution Of Class 10 th CBSE SA-II Board (Set-1)Mathematics 1. (k 1) k = (k + 1) (k 1) k 1 k = k + 1 k + 1 k 1 = k.

More information

BOARD ANSWER PAPER :OCTOBER 2014

BOARD ANSWER PAPER :OCTOBER 2014 BRD NSWER PPER :CTBER 04 GEETRY. Solve any five sub-questions: BE i. BE ( BD) D BE 6 ( BD) 9 ΔBE (ΔBD) ----[Ratio of areas of two triangles having equal base is equal to the ratio of their corresponding

More information

KENDRIYA VIDYALAYA GACHIBOWLI, GPRA CAMPUS, HYD 32

KENDRIYA VIDYALAYA GACHIBOWLI, GPRA CAMPUS, HYD 32 KENDRIYA VIDYALAYA GACHIBOWLI, GPRA CAMPUS, HYD 3 SAMPLE PAPER 06 (018-19) SUBJECT: MATHEMATICS(041) BLUE PRINT : CLASS X Unit Chapter VSA (1 mark) SA I ( marks) SA II (3 marks) LA (4 marks) Total Unit

More information

KENDRIYA VIDYALAYA GACHIBOWLI, GPRA CAMPUS, HYD 32

KENDRIYA VIDYALAYA GACHIBOWLI, GPRA CAMPUS, HYD 32 KENDRIYA VIDYALAYA GACHIBOWLI, GPRA CAMPUS, HYD 32 SAMPLE PAPER 02 (2018-19) SUBJECT: MATHEMATICS(041) BLUE PRINT : CLASS X Unit Chapter VSA (1 mark) SA I (2 marks) SA II (3 marks) LA (4 marks) Total Unit

More information

KENDRIYA VIDYALAYA GACHIBOWLI, GPRA CAMPUS, HYD 32. SECTION A Questions 1 to 6 carry 1 mark each.

KENDRIYA VIDYALAYA GACHIBOWLI, GPRA CAMPUS, HYD 32. SECTION A Questions 1 to 6 carry 1 mark each. KENDRIYA VIDYALAYA GACHIBOWLI, GPRA CAMPUS, HYD 32 SAMPLE PAPER TEST 09 (2018-19) (SAMPLE ANSWERS) SUBJECT: MATHEMATICS MAX. MARKS : 80 CLASS : X DURATION : 3 HRS General Instruction: (i) All questions

More information

KENDRIYA VIDYALAYA GACHIBOWLI, GPRA CAMPUS, HYD-32. SECTION A Questions 1 to 6 carry 1 mark each.

KENDRIYA VIDYALAYA GACHIBOWLI, GPRA CAMPUS, HYD-32. SECTION A Questions 1 to 6 carry 1 mark each. KENDRIYA VIDYALAYA GACHIBOWLI, GPRA CAMPUS, HYD-32 SAMPLE PAPER TEST 03 (2018-19) (ANSWERS) SUBJECT: MATHEMATICS MAX. MARKS : 80 CLASS : X DURATION : 3 HRS General Instruction: (i) All questions are compulsory.

More information

FIITJEE SUBJECT:MATHEMATICS (CBSE) CLASS 10 SOLUTION

FIITJEE SUBJECT:MATHEMATICS (CBSE) CLASS 10 SOLUTION FIITJEE SUBJECT:MTHEMTICS (CBSE) CLSS 10 SOLUTION 1. SECTION 99 551 44 55 44111 44 11 4 0 HCF of 55 and 99 is 11 11 55 441 11 55 (99 551) 11 55 99 55 11 55 99 So m =. cubic polynomial with zeros -, - and

More information

S MATHEMATICS (E) Subject Code VI Seat No. : Time : 2½ Hours

S MATHEMATICS (E) Subject Code VI Seat No. : Time : 2½ Hours 2018 VI 18 0230 Seat No. : Time : 2½ Hours MTHEMTIS (E) Subject ode S 0 2 1 Total No. of Questions : 8 (Printed Pages : 7) Maimum Marks : 80 INSTRUTIONS : i) nswer each main question on a fresh page. ii)

More information

SAMPLE QUESTION PAPER Summative Assessment II Class-X ( ) Mathematics. Time Allowed: 3 Hours Max. Marks: 90

SAMPLE QUESTION PAPER Summative Assessment II Class-X ( ) Mathematics. Time Allowed: 3 Hours Max. Marks: 90 SAMPLE QUESTION PAPER Summative Assessment II Class-X (2016 17) Mathematics Time Allowed: 3 Hours Max. Marks: 90 General Instructions: 1. All questions are compulsory. 2. The question paper consists of31

More information

CBSE X Mathematics 2012 Solution (SET 1) Section B

CBSE X Mathematics 2012 Solution (SET 1) Section B CBSE X Mathematics 01 Solution (SET 1) Section B Q11. Find the value(s) of k so that the quadratic equation x kx + k = 0 has equal roots. Given equation is x kx k 0 For the given equation to have equal

More information

TOPPER SAMPLE PAPER 3 Summative Assessment-II MATHEMATICS CLASS X

TOPPER SAMPLE PAPER 3 Summative Assessment-II MATHEMATICS CLASS X TOPPER SAMPLE PAPER 3 Summative Assessment-II MATHEMATICS CLASS X M.M: 80 TIME : 3-3 2 Hrs. GENERAL INSTRUCTIONS :. All questions are compulsory. 2. The question paper consists of 34 questions divided

More information

KENDRIYA VIDYALAYA SANGATHAN, HYDERABAD REGION

KENDRIYA VIDYALAYA SANGATHAN, HYDERABAD REGION KENDRIYA VIDYALAYA SANGATHAN, HYDERABAD REGION SAMPLE PAPER 02 F SESSING ENDING EXAM (2017-18) SUBJECT: MATHEMATICS(041) BLUE PRINT : CLASS IX Unit Chapter VSA (1 mark) SA I (2 marks) SA II (3 marks) LA

More information

SURA's Guides for 3rd to 12th Std for all Subjects in TM & EM Available. MARCH Public Exam Question Paper with Answers MATHEMATICS

SURA's Guides for 3rd to 12th Std for all Subjects in TM & EM Available. MARCH Public Exam Question Paper with Answers MATHEMATICS SURA's Guides for rd to 1th Std for all Subjects in TM & EM Available 10 th STD. MARCH - 017 Public Exam Question Paper with Answers MATHEMATICS [Time Allowed : ½ Hrs.] [Maximum Marks : 100] SECTION -

More information

( )( ) PR PQ = QR. Mathematics Class X TOPPER SAMPLE PAPER-1 SOLUTIONS. HCF x LCM = Product of the 2 numbers 126 x LCM = 252 x 378

( )( ) PR PQ = QR. Mathematics Class X TOPPER SAMPLE PAPER-1 SOLUTIONS. HCF x LCM = Product of the 2 numbers 126 x LCM = 252 x 378 Mathematics Class X TOPPER SAMPLE PAPER- SOLUTIONS Ans HCF x LCM Product of the numbers 6 x LCM 5 x 378 LCM 756 ( Mark) Ans The zeroes are, 4 p( x) x + x 4 x 3x 4 ( Mark) Ans3 For intersecting lines: a

More information

Important Instructions for the School Principal. (Not to be printed with the question paper)

Important Instructions for the School Principal. (Not to be printed with the question paper) Important Instructions for the School Principal (Not to be printed with the question paper) 1) This question paper is strictly meant for use in school based SA-I, September-01 only. This question paper

More information

Sample Question Paper Mathematics First Term (SA - I) Class X. Time: 3 to 3 ½ hours

Sample Question Paper Mathematics First Term (SA - I) Class X. Time: 3 to 3 ½ hours Sample Question Paper Mathematics First Term (SA - I) Class X Time: 3 to 3 ½ hours M.M.:90 General Instructions (i) All questions are compulsory. (ii) The question paper consists of 34 questions divided

More information

Udaan School Of Mathematics Class X Chapter 10 Circles Maths

Udaan School Of Mathematics Class X Chapter 10 Circles Maths Exercise 10.1 1. Fill in the blanks (i) The common point of tangent and the circle is called point of contact. (ii) A circle may have two parallel tangents. (iii) A tangent to a circle intersects it in

More information

Sample Question Paper Mathematics First Term (SA - I) Class IX. Time: 3 to 3 ½ hours

Sample Question Paper Mathematics First Term (SA - I) Class IX. Time: 3 to 3 ½ hours Sample Question Paper Mathematics First Term (SA - I) Class IX Time: 3 to 3 ½ hours M.M.:90 General Instructions (i) All questions are compulsory. (ii) The question paper consists of 34 questions divided

More information

SUMMATIVE ASSESSMENT I, IX / Class IX

SUMMATIVE ASSESSMENT I, IX / Class IX I, 0 SUMMATIVE ASSESSMENT I, 0 0 MATHEMATICS / MATHEMATICS MATHEMATICS CLASS CLASS - IX - IX IX / Class IX MA-0 90 Time allowed : hours Maximum Marks : 90 (i) (ii) 8 6 0 0 (iii) 8 (iv) (v) General Instructions:

More information

SAMPLE QUESTION PAPER MATHEMATICS

SAMPLE QUESTION PAPER MATHEMATICS SAMPLE QUESTION PAPER 07-8 MATHEMATICS Time allowed : 3 hrs Maximum marks : 80 General Instructions : All questions are compulsory. The question paper consists of 30 questions divided into four sections

More information

ICSE Solved Paper, 2018

ICSE Solved Paper, 2018 ICSE Solved Paper, 018 Class-X Mathematics (Maximum Marks : 80) (Time allowed : Two hours and a half) Answers to this Paper must be written on the paper provided separately. You will not be allowed to

More information

SOLUTIONS SET 1 MATHEMATICS CLASS X

SOLUTIONS SET 1 MATHEMATICS CLASS X Tp Careers & Yu SOLUTIONS SET MTHEMTICS CLSS X. 84 7 Prime factrs f 84 are, and 7.. Sum f zeres 5 + 4 Prduct f zeres 5 4 0 Required plynmial x ( )x + ( 0) x + x 0. Given equatin is x + y 0 Fr x, y L.H.S

More information

TOPIC-1. Unit -I : Number System. Chapter - 1 : Real Numbers. Euclid s Division Lemma and Fundamental Theorem of Arithmetic.

TOPIC-1. Unit -I : Number System. Chapter - 1 : Real Numbers. Euclid s Division Lemma and Fundamental Theorem of Arithmetic. Unit -I : Number System Chapter - : Real Numbers TOPIC- Euclid s Division Lemma and Fundamental Theorem of rithmetic lgorithm : n algorithm is a series of well defined steps which gives a procedure for

More information

CBSE Sample Question Paper

CBSE Sample Question Paper SE Sample Question Paper MTHEMTIS LSS X (07 8) Time: 3 Hours Max. Marks: 80 General Instructions:. ll questions are compulsory.. The question paper consists of 30 questions divided into four sections,,

More information

KENDRIYA VIDYALAYA GILL NAGAR CHENNAI -96 SUMMATIVE ASSESSMENT TERM I MODEL QUESTION PAPER TIME: 3 HOURS MAXIMUM MARKS: 90

KENDRIYA VIDYALAYA GILL NAGAR CHENNAI -96 SUMMATIVE ASSESSMENT TERM I MODEL QUESTION PAPER TIME: 3 HOURS MAXIMUM MARKS: 90 KENDRIYA VIDYALAYA GILL NAGAR CHENNAI -96 SUMMATIVE ASSESSMENT TERM I MODEL QUESTION PAPER CLASS X MATHEMATICS TIME: 3 HOURS MAXIMUM MARKS: 90 General Instructions: 1. All Questions are compulsory. 2.

More information

VAISHALI EDUCATION POINT (QUALITY EDUCATION PROVIDER)

VAISHALI EDUCATION POINT (QUALITY EDUCATION PROVIDER) BY:Prof. RAHUL MISHRA Class :- X QNo. VAISHALI EDUCATION POINT (QUALITY EDUCATION PROVIDER) CIRCLES Subject :- Maths General Instructions Questions M:9999907099,9818932244 1 In the adjoining figures, PQ

More information

(D) (A) Q.3 To which of the following circles, the line y x + 3 = 0 is normal at the point ? 2 (A) 2

(D) (A) Q.3 To which of the following circles, the line y x + 3 = 0 is normal at the point ? 2 (A) 2 CIRCLE [STRAIGHT OBJECTIVE TYPE] Q. The line x y + = 0 is tangent to the circle at the point (, 5) and the centre of the circles lies on x y = 4. The radius of the circle is (A) 3 5 (B) 5 3 (C) 5 (D) 5

More information

Mathematics. Mock Paper. With. Blue Print of Original Paper. on Latest Pattern. Solution Visits:

Mathematics. Mock Paper. With. Blue Print of Original Paper. on Latest Pattern. Solution Visits: 10 th CBSE{SA I} Mathematics Mock Paper With Blue Print of Original Paper on Latest Pattern Solution Visits: www.pioneermathematics.com/latest_updates www.pioneermathematics.com S.C.O. - 36, Sector 40

More information

CBSE CLASS-10 MARCH 2018

CBSE CLASS-10 MARCH 2018 CBSE CLASS-10 MARCH 2018 MATHEMATICS Time : 2.30 hrs QUESTION Marks : 80 General Instructions : i. All questions are compulsory ii. This question paper consists of 30 questions divided into four sections

More information

BOARD QUESTION PAPER : MARCH 2016 GEOMETRY

BOARD QUESTION PAPER : MARCH 2016 GEOMETRY BOARD QUESTION PAPER : MARCH 016 GEOMETRY Time : Hours Total Marks : 40 Note: (i) Solve All questions. Draw diagram wherever necessary. (ii) Use of calculator is not allowed. (iii) Diagram is essential

More information

= 9 4 = = = 8 2 = 4. Model Question paper-i SECTION-A 1.C 2.D 3.C 4. C 5. A 6.D 7.B 8.C 9.B B 12.B 13.B 14.D 15.

= 9 4 = = = 8 2 = 4. Model Question paper-i SECTION-A 1.C 2.D 3.C 4. C 5. A 6.D 7.B 8.C 9.B B 12.B 13.B 14.D 15. www.rktuitioncentre.blogspot.in Page 1 of 8 Model Question paper-i SECTION-A 1.C.D 3.C. C 5. A 6.D 7.B 8.C 9.B 10. 11.B 1.B 13.B 1.D 15.A SECTION-B 16. P a, b, c, Q g,, x, y, R {a, e, f, s} R\ P Q {a,

More information

Individual Events 1 I2 x 0 I3 a. Group Events. G8 V 1 G9 A 9 G10 a 4 4 B

Individual Events 1 I2 x 0 I3 a. Group Events. G8 V 1 G9 A 9 G10 a 4 4 B Answers: (99-95 HKMO Final Events) Created by: Mr. Francis Hung Last updated: July 08 I a Individual Events I x 0 I3 a I r 3 I5 a b 3 y 3 b 8 s b c 3 z c t 5 c d w d 0 u d 6 3 6 G6 a 5 G7 a Group Events

More information

CBSE X Mathematics 2012 Solution (SET 1) Section D

CBSE X Mathematics 2012 Solution (SET 1) Section D Section D Q 9. A shopkeeper buys some books for Rs 80. If he had bought 4 more books for the same amount, each book would have cost Rs 1 less. Find the number of books he bought. Let the number of books

More information