SAMPLE QUESTION PAPER MATHEMATICS

Size: px
Start display at page:

Download "SAMPLE QUESTION PAPER MATHEMATICS"

Transcription

1 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 A,B,C,D. Section A contains 6 questions of marks each 3. Section B contains 6 questions of marks each 4. Section C contains 0 questions of 3 marks each 5. Section D contains 8 questions of 4 marks each 6. There is no overall choice. However an internal choice has been provided in four questions of 3 marks each. You have to attempt only one of the alternatives in all such questions. 7. Use of calculator is not permitted SECTION A. Without performing actual division, state whether the rational number 3 expansion or a Non-terminating repeating decimal expansion.. Find the 0 th term from the last term of the A.P : 3,8,3,.,53 5 will have a terminating decimal 3. Find the value(s) of k, for which the quadratic equation kx(x ) + 6 = 0 has two equal roots. 4. Find the coordinates of the point on y-axis which is nearest to the point (5,-). 5. In this given figure LM CB and LN CD prove that AM = AN AB AD 6. Express Sin 67 +Cos 75 in terms of trigonometric ratios of angles between 0 and If two positive integers p and q are written as p=a²b³ and y=a³b ; a,b are prime numbers, then verify LCM(p, q) X HCF(p, q) = pq 8. For which value of k will the following pair of linear equations have no solution? 3x + y = (k )x + (k )y = k + 9. Find the sum of first 4 terms of the list of numbers whose n-th term is given by : an=3+n 0. If (, p ) is the midpoint of the line segment joining the prints (,0) and 3 (0, ), then show that the line 5x + 3y + 9 = 0 passes through the point (,3p). An Integer is chosen between 0 and 00. What is the probability that it s not divisible by 7.

2 . A bag contains 5 red balls and some blue balls. The probability of drawing a blue ball from the bag is thrice that of a red ball, find the number of blue balls in the bag. SECTION C 3. Find all the zeroes of x 4-3x 3-3x²+6x-, if you know that two of its zeroes are and - 4. The students of a class are made to stand in rows. If 3 students are extra in a row, there would be row less. If 3 students are less in a row, there would be rays more. Find the number of students in the class. 5. In what ratio does the x-axis divides the line segment joining the points (-4,-6) and (-,7)? Find the coordinates of the point of division? OR, The points A(4,-), B(7,), C(0,9) and D(-3,5) form a parallelogram. Find the length of the altitude of the parallelogram on the base AB. 6. Show that exactly one of the numbers n, n+, n+4 is divisible by ABC is right angled at C. If BC = a, CA = b and AB = c and P is the length of perpendicular drawn from C AB, then prove that: (I) PC = ab (II) p = a + b OR, In figure, the line segment XY is parallel to side AC of areas. Find the ratio AX AB ABC and it divides the triangle into two parts of equal 8. In the given figure, XY and X Y are two parallel tangents to a circle with centre O and another tangent AB with point of contact C intersecting XY at A and X Y at B. Prove that <AOB = Evaluate: cos 5 + cos 55 cosec 5 tan (tan3 tan3 tan30 tan67 tan77 ) 0. In the given figure, ABPC is a quadrant of a circle of radius 4cm and a semicircle is drawn with BC as diameter. Find the area of the shaded region.. In a rain water harvesting system, the rainwater from a roof of m x 0m drains into a cylindrical tank having diameter of base m and height 3.5m. If the tank is full, find the rainfall in cm. Write your views on the water conservation. OR, A cubical block of side 0cm is surmounted by a hemisphere. What is the largest diameter that the hemisphere can have? Find the cost of painting the total surface area of the solid so formed, at the rate of Rs 5 per 00 sq.cm

3 . Find the mode of the following distribution of marks obtained by the students in an examination: Marks obtained Number of students Given the mean of the distribution is 53, using empirical relationship estimate the value of its median. SECTION D 3. A plane left 40 minutes late due to bad weather and in order to reach its destination 600km away in time, it had to increase its speed by 400km/h from its usual speed. Find the usual speed of the plane. OR, Check whether the equation 5x 6x = 0 has real roots and if it as, find them by the method of completing the square. Also, verify that roots obtained satisfy the given equation. 4. If the ratio of the sum of the first n-terms of two A.P. is 7n+ : 4n+7, the find the ratio of their 9 th terms. 5. State and prove Pythagoras theorem. OR, State and prove the Basic Proportionality Theorem. 6. Draw a ABC with side BC = 7cm, <B = 75, < A = 05. Then construct a triangle whose sides are 4 times the 3 corresponding sides of ABC. Write the steps of construction and justify your answer. 7. Prove that Cos A Sin A+ Cos A+Sin A = Cosec A + Cot A using the identity Cosec A = + Cot A. 8. As observed from the top of a 75 m high light house from the sea level, the angles of depression of two ships are 30 ⁰ and 45⁰. If one ship is exactly behind the other on the same side of the light house, find the distance between the two ships. 9. Two dairy owners A and B sell flavored milk filled to capacity in mugs of negligible thickness, which are cylindrical in shape with a raised hemispherical bottom. Or, The mugs are 4 cm high and have a diameter of 7 cm as shown in the given figure. Both A and B sell flavored milk at the rate of Rs 80 per litre. The dairy owner A uses the formula πr h to find the volume of milk in the mug and charges Rs 43. for it. The dairy owner B is of the view that the price of the actual quantity of milk should be charged. What according to him should be the price one mug of milk? Which value is exhibited by the dairy owner B? 30. In the retail market fruit vendors were selling apples kept in packing boxes. These boxes contained varying number of apples. If the median number of apples in a box was 4 and the total number of boxes was 550, then find the missing frequencies f and f in the following distribution table. Number of apples in a box Number of boxes 0 67 f f OR, Draw the move than type,give for the following data. Also, find the median from the graph. Class Interval Frequency

4 Marking Scheme ( class X) Sub : Mathematics Session : 07-8 SECTION A The number given = 3. 5 LCM of 5 = It is terminating. ( Any denominator no. that can be expressed in the form of m x 5 n is terminating) AP: 3, 8, 3,, 53 a = 3, d = 5, l = 53 From the last term: a = 53, d = -5, l = 53 a 0 (from last) = a + (n-)d = (-5) =53-45 = 08 f(x) = kx(x-) + 6 = 0 = kx x +6 = 0 f(x) have equal and real roots D = 0 b 4ac = 0 (-k) 4.k.6 = 0 4k = 4k k = 6 The point is (5, -) The point on y-axis : ( 0, y) The point (0,-) is nearest to te point (5, -) on y-axis. Given, LM CB, LN CD, ABCD is a quadrilateral. To prove: AM = AN AB AD Proof: In ABC, LM BC In AL LC = AM MB ADC, AL = AN MD ND ( BPT).(ii) Sin cos 75 o Sin (90 3) o + cos (90 5k) o Cos 3 o + sin 5 o ( BPT).(i) p = a b 3, q=a 3 b L.C.M => a 3 b 3 HCF => a b LCM X HCF = pq a 3 b 3 x a b = a b 3 x a 3 b a 3 b = a 3 b = (proved) When no solution: a = b c a b c 3x+y-=0 (k-)x+(k-)y-(k+)=0 a =3 ; b = ; c =- a =(k-) ; b =(k-) ; c =-(k+) 3 k = k / k+ 4

5 Case 3k-3 = k- k= 9) a n =3+n ; a =3+4 =>7 a = 3+ a =5 a=5 ; d= a =3 S n = 4 (0 + 3.) = (0+46) = 67 0) = 0+ (,0 ) p 3 = 9 X ; p 3 = 9 +0 (, p 3 (0, 9 ) P = 3 0(-,3p) => (-,) so, x = - ; y= 5x+3y+= = = 0 (Hence Proved) ) Numbers between 0 to 00 which are divisible by 7 is 4. So, numbers which are not divisible by 7 are 00-4=86 So, P = = ) A bag Contains 5 red balls and some blue balls. Let the number of blue balls be x So, Total no of balls = x x A T Q : 3( 5 5+x ) = x x+5 = x x+5 So, x =5 So, number of blue balls are a=bq+r, a r < b b=3 => r=0,, r=0, => n=3q, 3q+, 3q+4 r=, => n=3q+, 3q+3, 3q+5 r=, => n=3q+, 3q+4, 3q+6 Exactly one in the above 3 sets is divisible by The roots given and -...( x- ) and ( x + )...( x- ) ( x+ ) = (x) ( ) = x... The other zeros are x ) x 4-3x 3-3x + 6x ( x 3x + x 4-4x x 3 + x + 6x -3x 3 + 6x + - x x 5

6 x... x -3x+... The total zeros are = x -x x + = x( x-) (x-) = (x -) (x-) 5. Let the total rows be x Let the total columns be y. ATQ... xy= (x+3) (y-) xy = xy - x + 3y - 3 3= -x + 3y.. (I)... xy =( x 3) (y +) xy =xy + x 3y = x 3y. (II) -x + 3y = 3 x - 3y = 6 x= y = 3 3y = y=4,,, - The total rows is 9 The total columns is (-h,-b) (x,0) (-,7) 0 = 7k 6 6 FTk k= 6 (II) 7... Ratio is 6:7... x = x = 34 3 = Area ofabc= ½ cp =/ab Or, pc = ab Or, /p = c/ab Or, / p =c /a b = a + b / a b = / a + / b A 8.Given : XY ǁ X Y AB are tangent. To prove : ADB = 90⁰ Proof : In POA and OAC OPA = OCA = 90⁰ OR C B 6

7 8. PAC + QBA = 80 [Cointerior angles] POA COA [By ] 9.XY AC BXY = A& BYX = C ABC ~ XBY [By AA] AR. ABC AR. XBY = ( AB XB )² = - XB AB = AR. ABC AR. XBY = AB² XB² AR. ABC =. AR. XBY AB XB = XB AB = AB XB = AB AX AB = AX AB = OR 9. cos 35 + cos 55 cosec 5 tan (tan3 tan3 tan30 tan67 tan77 ) = cos 35 + sin 35 sec 75 tan (tan3 tan77 tan3 tan67 tan30 ) = + 3(cot77 tan77 cot67 tan67 tan30 ) = + 3 ( tan77 tan 77 tan67 tan30 ) = = + = 0. BC = AC + AB = BC = 3 BC = 4 r = 7 Given, ABPC is a quadrant, AC = AB= 4 cm = r θ = 90 Area of shaded region = AR. ABC + AR of semicircle AR. quadrant ABPC = AB AC + πr θ 360 πr = =5-54 = 98 cm. Given, =

8 length of the roof(l) = m breadth of the roof(b) = 0m height of the roof (h ) =? base diameter of tank = m base radius of tank (r) = m h = 3.5m Therefore, Vol. of tank = vol. of roof Or, πr h = l. b. h Or, 3.5 = 0 h 7 Or, h =.cm Views: a. Water is very necessary to carry out daily activities. b. We should not waste water as our lives depend on it. OR. TSA of the solid = CSA of the hemisphere + TSA of Cube Area of the Top = πr + 6a a = πr + 5a = x 3.4 x 5 x x 0 x 0 = 657cm Therefore, Rs5/00cm = = Rs Here modal class: l = 60, f = 9, f = 7, f 0 =, h = 0 f f 0 Mode = l + ( )n f f 0 f = 60 + ( 9 )n 58 7 = =68 Now, 3Median = Mode + Mean = 68 + (53) = =74 Median = 74 = 58 3 Median=58 3. For real roots, D 0 D = (-6) - 4x5x(-) = 76 0 So, the Eqn. has real roots. OR 3. Let, The usual speed be x km/hr. 600 x 600 x+400 = 3 Or, 800 ( x+400 x x(x+400) ) = 3 Or, x= 400± ( ) = 400± (00) = 800 km/hr. 5x 6x = 0 8

9 x 6 5 x 5 = 0 (x 6 0 ) ( 6 0 ) 5 = 0 x= 3± Given ratio of the n th term of A.P.s is 7n+:4n+7 So, n (a + (n )d ) n = 7n+ (a + (n )d ) 4n+7 Now, ratio of 9 th term = a + (9 )d a +(9 )d = a +8d a +8d Comparing both equation, So, Ratio of 9 th term = 7(7)+ = 0 = 4 4(7) Correct Statement Figure Given To prove Construction Proof Or Same. 6. Correct ABC Correct a A B C cos A+cosec A 7. L.H.S = 8. x 75 cot A cosec A+ cos A+cosec A (cosec A+cot A)(cosec A cot A) = cot A cosec A+ = cosec A + cot A = cot 45 x 6 0 = ± 9 5 (a + ( n )d) ((a + ( n ) d) = a + ( n ) d (a + ( n ) d ) = n = 8 n- = 6 ; n=7 7n + 4n + 7 7n + 4n + 7 (dividing the numerator & denominator by sin A) Or x= 75 x + y 75 = cot30 Or, x+y = 75 3 Or, y=75( 3 ) 9. Height of the mug = 4cm =.4dm Diameter = 7cm = 0.7dm Radius = 3.5cm = 0.35dm Actual volume of the milk in the mug = volume of the cylinder volume of the raised hemispherical bottom 9

10 Now, Volume of the cylinder = πr h = = dm 3 Volume of the hemispherical bottom = 3 πr3 = = dm 3 So, Actual volume of the milk in the mug = =0.4497dm 3 Volume of the milk = The price of one litre = Rs. 80 The price of litres = = Rs According to the dairy B, the price of the milk should be Rs. 8 approximately. The dairy owner B is a humane person with morals. He believes in serving people at fair price and does not deceive people unlike dairy owner A. 30. Number of Apples Class mark Frequency Cumulative frequency f 87+f f 87+f+f f+f f+f f + f 550 Median = 4 Median of the data = l + ( Accordingly, 4 = 55 + ( 75 (47+f+f) 5 n +cf f ) h 4 = 75+8 f f 5 0 = f-f f+f = = 93 () Now, The total number of boxes = 550 So, 7+f+f = Class F Cf Type Interval More than More than More than More than More than 40 ) 5 = 55 + ( f f ) 5 = 55 + ( 8 f f ) Cumulative Frequency 0

11

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

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

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

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

2. In an AP. if the common difference (d) = -4, and the seventh term (a7) is 4, then find the first term.

2. In an AP. if the common difference (d) = -4, and the seventh term (a7) is 4, then find the first term. CBSE Board Class X Set 3 Mathematics Board Question Paper 2018 Time: 3 hrs. Marks: 80 Note: Please check that this question paper contains 11 printed pages. Code number given on the right hand side of

More information

Marking Scheme. Mathematics Class X ( ) Section A

Marking Scheme. Mathematics Class X ( ) Section A Marking Scheme Mathematics Class X (017-18) Section A S.No. Answer Marks 1. Non terminating repeating decimal expansion.. k ±4 3. a 11 5 4. (0, 5) 5. 9 : 49 6. 5 Section B 7. LCM (p, q) a 3 b 3 HCF (p,

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

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

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

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

[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

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

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

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

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

Kendriya Vidyalaya Sangathan Class -X Subject- Mathematics Time - M.M - 80

Kendriya Vidyalaya Sangathan Class -X Subject- Mathematics Time - M.M - 80 Kendriya Vidyalaya Sangathan Class -X Subject- Mathematics Time - M.M - 80 General Instruction :-. All Questions are compulsory, however internal choices are given in some questions.. This question paper

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

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

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

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

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

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

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

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

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

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

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

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

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 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 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 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

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

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

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

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

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

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 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

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

Answer : (In a circle the angle between the radii through two points and angle between the tangents at these points are supplementary.

Answer : (In a circle the angle between the radii through two points and angle between the tangents at these points are supplementary. Second Terminal Examination 2016 MATHEMATICS X STD 1. in the figure AD and AB are tangents to the circle with centre at O. If

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

MODEL QUESTION PAPERS WITH ANSWERS SET 1

MODEL QUESTION PAPERS WITH ANSWERS SET 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

More information

1. If { ( 7, 11 ), (5, a) } represents a constant function, then the value of a is a) 7 b) 11 c) 5 d) 9

1. If { ( 7, 11 ), (5, a) } represents a constant function, then the value of a is a) 7 b) 11 c) 5 d) 9 GROUP-I TEST X-MATHEMATICS (5 chapters) Time: 2 ½ hrs. Max. Marks: 100 General instructions: (i) This question paper consists of four sections. Read the note carefully under each section before answering

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 Class X Mathematics Sample Paper 03

CBSE Class X Mathematics Sample Paper 03 CBSE Class X Mathematics Sample Paper 03 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

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

7. Find the value of If (a+1) and (a-1) are the factors of p(a)= a 3 x+2a 2 +2a - y, find x and y

7. Find the value of If (a+1) and (a-1) are the factors of p(a)= a 3 x+2a 2 +2a - y, find x and y AJANTA PUBLIC SCHOOL ASSIGNMENT (MATHS) SESSION 2018-19 CLASS - IX 1. Are the following Statements are True or False, also give reasons? (i) zero is a rational number (ii) Zero is natural number (iii)

More information

Mathematics Class X Board Paper 2011

Mathematics Class X Board Paper 2011 Mathematics Class X Board Paper Solution Section - A (4 Marks) Soln.. (a). Here, p(x) = x + x kx + For (x-) to be the factor of p(x) = x + x kx + P () = Thus, () + () k() + = 8 + 8 - k + = k = Thus p(x)

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

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 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

( Bifurcated Syllabus ) ( According to Syllabus of Class X only) PART - I

( Bifurcated Syllabus ) ( According to Syllabus of Class X only) PART - I Karunamoyee, Salt Lake, Kolkata : 70009 Mathematics (COMPULSORY) (Compulsory) Full marks : NEW 90 - For SYLLABUS Regular Candidates { Time 00 ---3 Hours - For 5 Eternal Minutes Candidates ( First 5 minutes

More information

Total number of printed pages : MATHEMATICS

Total number of printed pages : MATHEMATICS Total number of printed pages : 6 Total marks : 80 016 MATHEMATICS NB-T/M Time : 3 hours General Instructions: i) Approximately 15 minutes is allotted to read the question paper and revise the answers.

More information

CBSE Board Class X Summative Assessment II Mathematics

CBSE Board Class X Summative Assessment II Mathematics CBSE Board Class X Summative Assessment II Mathematics Board Question Paper 2014 Set 2 Time: 3 hrs Max. Marks: 90 Note: Please check that this question paper contains 15 printed pages. Code number given

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 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

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

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. (Two hours and a half) Answers to this Paper must be written on the paper provided separately.

MATHEMATICS. (Two hours and a half) Answers to this Paper must be written on the paper provided separately. CLASS IX MATHEMATICS (Two hours and a half) Answers to this Paper must be written on the paper provided separately. You will not be allowed to write during the first 15 minutes. This time is to be spent

More information

Time Allowed : 3 hours Maximum Marks : 90. jsuniltutorial

Time Allowed : 3 hours Maximum Marks : 90. jsuniltutorial 6KN77NA I, 0 SUMMATIVE ASSESSMENT I, 0 / MATHEMATICS X / Class X 90 Time Allowed : hours Maximum Marks : 90 General Instructions: All questions are compulsory. - 8 0 6 0 The question paper consists of

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

81-E If set A = { 2, 3, 4, 5 } and set B = { 4, 5 }, then which of the following is a null set? (A) A B (B) B A (C) A U B (D) A I B.

81-E If set A = { 2, 3, 4, 5 } and set B = { 4, 5 }, then which of the following is a null set? (A) A B (B) B A (C) A U B (D) A I B. 81-E 2 General Instructions : i) The question-cum-answer booklet contains two Parts, Part A & Part B. ii) iii) iv) Part A consists of 60 questions and Part B consists of 16 questions. Space has been provided

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

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

PRMO Solution

PRMO Solution PRMO Solution 0.08.07. How many positive integers less than 000 have the property that the sum of the digits of each such number is divisible by 7 and the number itself is divisible by 3?. Suppose a, b

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

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) ) This question paper is strictly meant for use in school based SA-I, September-202 only. This question paper

More information

Solutions. S1. Ans.(c) Sol. Try Using option and divide With given option

Solutions. S1. Ans.(c) Sol. Try Using option and divide With given option Solutions S1. Ans.(c) Try Using option and divide 64329 With given option S2. Ans.(a) Let the fraction be x/y. According to the questions, x y of 4 7 + 4 7 = 15 14 x y 4 7 + 4 7 = 15 14 x y 4 7 = 1 2 x

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

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

1. SETS AND FUNCTIONS

1. SETS AND FUNCTIONS . SETS AND FUNCTIONS. For two sets A and B, A, B A if and only if B A A B A! B A + B z. If A B, then A + B is B A\ B A B\ A. For any two sets Pand Q, P + Q is " x : x! P or x! Q, " x : x! P and x b Q,

More information

CBSE X Mathematics All India 2012 Solution (SET 1) Section D

CBSE X Mathematics All India 2012 Solution (SET 1) Section D CBSE X Mathematics All India 0 Solution (SET ) Section D Q9. The numerator of a fraction is less than its denominator. If is added to the denominator, the fraction is decreased by. Find the fraction. 5

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 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

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

DESIGN OF THE SAMPLE QUESTION PAPERS MATHEMATICS CLASS X. S.No. Learning Outcomes Marks

DESIGN OF THE SAMPLE QUESTION PAPERS MATHEMATICS CLASS X. S.No. Learning Outcomes Marks DESIGN OF THE SAMPLE QUESTION PAPERS MATHEMATICS CLASS X Time : 3 Hours Max. Marks : 100 The weightage or the distribution of marks over different dimensions of the question papers shall be as follows

More information

Pre-Regional Mathematical Olympiad Solution 2017

Pre-Regional Mathematical Olympiad Solution 2017 Pre-Regional Mathematical Olympiad Solution 07 Time:.5 hours. Maximum Marks: 50 [Each Question carries 5 marks]. How many positive integers less than 000 have the property that the sum of the digits of

More information

MATHEMATICS. (Two hours and a half) Answers to this Paper must be written on the paper provided separately.

MATHEMATICS. (Two hours and a half) Answers to this Paper must be written on the paper provided separately. MATHEMATICS (Two hours and a half) Answers to this Paper must be written on the paper provided separately. You will not be allowed to write during the first 15 minutes. This time is to be spent in reading

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

St. Anne s Diocesan College. Grade 12 Core Mathematics: Paper II September Time: 3 hours Marks: 150

St. Anne s Diocesan College. Grade 12 Core Mathematics: Paper II September Time: 3 hours Marks: 150 St. Anne s Diocesan College Grade 12 Core Mathematics: Paper II September 2018 Time: 3 hours Marks: 150 Please read the following instructions carefully: 1. This question paper consists of 21 pages and

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

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

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

X- MATHS IMPORTANT FORMULAS SELF EVALUVATION 1. SETS AND FUNCTIONS. 1. Commutative property i ii. 2. Associative property i ii

X- MATHS IMPORTANT FORMULAS SELF EVALUVATION 1. SETS AND FUNCTIONS. 1. Commutative property i ii. 2. Associative property i ii X- MATHS IMPORTANT FORMULAS SELF EVALUVATION 1. SETS AND FUNCTIONS 1. Commutative property i ii 2. Associative property i ii 3. Distributive property i ii 4. De Morgan s laws i ii i ii 5. Cardinality of

More information

Grade XI Mathematics

Grade XI Mathematics Grade XI Mathematics Exam Preparation Booklet Chapter Wise - Important Questions and Solutions #GrowWithGreen Questions Sets Q1. For two disjoint sets A and B, if n [P ( A B )] = 32 and n [P ( A B )] =

More information

81-E 2. Ans. : 2. Universal set U = { 2, 3, 5, 6, 10 }, subset A = { 5, 6 }. The diagram which represents A / is. Ans. : ( SPACE FOR ROUGH WORK )

81-E 2. Ans. : 2. Universal set U = { 2, 3, 5, 6, 10 }, subset A = { 5, 6 }. The diagram which represents A / is. Ans. : ( SPACE FOR ROUGH WORK ) 81-E 2 General Instructions : i) The question-cum-answer booklet contains two Parts, Part A & Part B. ii) iii) iv) Part A consists of 60 questions and Part B consists of 16 questions. Space has been provided

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

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

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

CBSE X Mathematics 2016

CBSE X Mathematics 2016 Time: 3 hours; Total Marks: 90 General Instructions: 1. All questions are compulsory. 2. The question paper consists of 31 questions divided into four sections A, B, C and D. 3. Section A contains 4 questions

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

Maharashtra Board Class X Mathematics - Geometry Board Paper 2014 Solution. Time: 2 hours Total Marks: 40

Maharashtra Board Class X Mathematics - Geometry Board Paper 2014 Solution. Time: 2 hours Total Marks: 40 Maharashtra Board Class X Mathematics - Geometry Board Paper 04 Solution Time: hours Total Marks: 40 Note: - () All questions are compulsory. () Use of calculator is not allowed.. i. Ratio of the areas

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

KARNATAKA SECONDARY EDUCATION EXAMINATION BOARD, MALLESWARAM, BANGALORE G È.G È.G È.. Æ fioê, d È 2018 S. S. L. C. EXAMINATION, JUNE, 2018

KARNATAKA SECONDARY EDUCATION EXAMINATION BOARD, MALLESWARAM, BANGALORE G È.G È.G È.. Æ fioê, d È 2018 S. S. L. C. EXAMINATION, JUNE, 2018 CCE PR REVISED & UN-REVISED O %lo ÆË v ÃO y Æ fio» flms ÿ,» fl Ê«fiÀ M, ÊMV fl 560 00 KARNATAKA SECONDARY EDUCATION EXAMINATION BOARD, MALLESWARAM, BANGALORE 560 00 G È.G È.G È.. Æ fioê, d È 08 S. S. L.

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

CBSE SAMPLE PAPERS (March 2018) MATHEMATICS

CBSE SAMPLE PAPERS (March 2018) MATHEMATICS CBSE SAMPLE PAPERS (March 2018) X MATHEMATICS CONTENTS 1. Sample paper (By CBSE ).......01-16 2. Sample paper 01... 17-33 3. Sample paper 02... 34-51 4. Sample paper 03... 52-77 5. Sample paper 04... 78-98

More information

COMMON UNITS OF PERIMITER ARE METRE

COMMON UNITS OF PERIMITER ARE METRE MENSURATION BASIC CONCEPTS: 1.1 PERIMETERS AND AREAS OF PLANE FIGURES: PERIMETER AND AREA The perimeter of a plane figure is the total length of its boundary. The area of a plane figure is the amount of

More information

Higher Mathematics Course Notes

Higher Mathematics Course Notes Higher Mathematics Course Notes Equation of a Line (i) Collinearity: (ii) Gradient: If points are collinear then they lie on the same straight line. i.e. to show that A, B and C are collinear, show that

More information

MODEL TEST PAPER 9 FIRST TERM (SA-I) MATHEMATICS (With Answers)

MODEL TEST PAPER 9 FIRST TERM (SA-I) MATHEMATICS (With Answers) MODEL TEST PAPER 9 FIRST TERM (SA-I) MATHEMATICS (With Answers) CLASS X llme Allowed, : 3 to 3% Hours] LMaximum Marks : 80 General Instructions : (i) All are compulsory. (ii) The question paper consists

More information