Solved question paper for Mathematics Mar-2018 (BSEH 10th)

Solved Question Paper

Mathematics Mar-2018

BSEH • 10th • 1st • Mar-2018

Mathematics previous year question papers on BRpaper are organized for students of Board of School Education Haryana’s Metric Class. This section makes it easier to browse subject-wise old question papers for Mathematics, so students can review how questions are typically framed in past exams and get a sense of the exam pattern. Many students search for mathematics previous year question paper while preparing for exams, and this page is built to support exactly that kind of subject-wise browsing and revision. BRpaper is not the official website of Board of School Education Haryana or any institution, and it does not publish official notices or academic updates.

Solved Questions

Solved
  1. SECTION – A

    1. If a and b are two positive integers, then the relation between their LCM
    and HCF will be :

    (A) LCM > HCF        (B) HCF > LCM

    (C) HCF = LCM        (D) None of these

    Very Short Answer Mar-2018 • BSEH 10th

    (A) LCM > HCF             

  2. Which one is polynomial?

    (A)               (B)
    (C)              (D) 

    Very Short Answer Mar-2018 • BSEH 10th

    (C)

  3. If in equations and  then which of the following is true ?
    (A) Intersecting lines           (B) Coincident lines
    (C) Parallel lines                  (D) None of these

    Very Short Answer Mar-2018 • BSEH 10th

    (C) Parallel lines                 

  4. Which one is A. P. series ?

    (A)  2, 4, 8, 12, …             (B) 0.2, 0.22, 0.222,…………

    (C) -10, -6, -2, 2, ……    (D) 1, 3, 9, 27, ……

    Very Short Answer Mar-2018 • BSEH 10th

    (C) -10, -6, -2, 2, ……    

  5. In an A. P. -10, -6, -2, 2, …., 20th term is :
    (A) 66                     (B) -66
    (C) 77                     (D) None of these

    Very Short Answer Mar-2018 • BSEH 10th

    (D) None of these

  6. Which one pair of the triangles is not similar triangles ?

    Very Short Answer Mar-2018 • BSEH 10th

    (c)

  7. If the ratio of the sides of two similar triangles is 3 : 2, then the ratio of their areas is :
    (A)                    (B) 2 : 3
    (C) 9 : 4                          (D) None of these

    Very Short Answer Mar-2018 • BSEH 10th

    (C) 9 : 4                          

  8. Number of tangents drawn from a point inside the circle is :

    (A) 1                  (B) 2

    (C) 0                  (D) None of these

    Very Short Answer Mar-2018 • BSEH 10th

    (C) 0                 

  9. How many tangents can a circle have ?

    (A) 1                                       (B) 2

    (C) Infinitely many                 (D) 0

    Very Short Answer Mar-2018 • BSEH 10th

    (C) Infinitely many

  10. Point Q(-3, –4) lies in which quadrant ?

    (A) First                 (B) Third

    (C) Second            (D) Fourth

    Very Short Answer Mar-2018 • BSEH 10th

    (B) Third

  11. Coordinate of mid point of line joining two points (-5, 7) and (5, -7) are:

    (A) (5, 7)                 (B)  (0, 0)

    (C) (0, 7)                (D)  (5, 0)

    Short Answer Mar-2018 • BSEH 10th

    Give two points (-5, 7) and (5, -7)

    Let mid point of AB is C

    Then C is given by

    Mid point C=   Ans

  12. State whether the following statement is true or false : "The value of tan A is always lies in between -1 and 1"

    Short Answer Mar-2018 • BSEH 10th

    Statement is false

  13. State whether the following statement is true or false : "cot A is not defined for A = 0°"

    Very Short Answer Mar-2018 • BSEH 10th

    Statement is false

  14. Length of an arc of a sector of angle ° of a circle with radius r will be :

    (A)                                      (B)

    (C)                                (D) None of these

    Short Answer Mar-2018 • BSEH 10th

    (C)    

  15. The radius of the base of a cone is 4 cm and slant height is 5 cm. Its CSA is :

    (A)                                       (B) 
    (C)                                (D)

    Very Short Answer Mar-2018 • BSEH 10th

    radius of the base of a cone r = 4 cm

                              slant height l =5 cm

    Curved surface area CSA =

                                   =  ans.

  16. Probability of getting 6 in a single throw of a die is :
    (A) 1                          (B) 0

    (C)                               (D) None of these

    Very Short Answer Mar-2018 • BSEH 10th

    (C)  

  17. SECTION-B

    17. Prove that  is an irrational number

    Short Answer Mar-2018 • BSEH 10th

    suppose that is a rational number then it can be written in the form

      Where a, b are co-prime numbers 

    Continue a=b

                    By squaring

                           

                     =  is divisible by 7 : a is an multiple of 7

                     :  a=7c      

                          Put the value in    

                        

                        

                           

                        =  is divisible by 7       .

    From and  we conclude that and   have common factor 7 this is contradiction, as a, b are co-prime numbers  is wrong

  18. Find a quadratic polynomial with the given number as the sum and product of its zeroes respectively are  and 4.

    Short Answer Mar-2018 • BSEH 10th

    Sum of roots =

     product of roots = 4           

    quadratic equation is  product = 0

      

  19. CM and RN are respectively the medians of ABC and PQR. If ABC ~ PQR, prove that AMC ~ PNR

    Short Answer Mar-2018 • BSEH 10th

    AMC ~ PNR

           

         

    But AB=2AB, PQ=2PN : CM and RN are Median

         from

      and          

          from 2       4

    From  and

  20. Find the value of :

    Short Answer Mar-2018 • BSEH 10th

     

    =1 ans

  21. Find the cost of ploughing the circular field having diameter 10 meter and rate of ploughing is Rs. 1.50 per square meter.

    Short Answer Mar-2018 • BSEH 10th

    Diameter of circular field d

                                         

             Area =

    Now cost of ploughing

     

                                                

                                                  

                                                   = 117.857        Rs     Ans

  22. SECTION-C

    22. Solve the following equations :
    3x - y = 3
    x - y = 4

    Long Answer Mar-2018 • BSEH 10th

                         ---------

                         ---------

    Multiply  by  3 and subtract from

    We get

    .

     

             

         

     Put this value in

      

     

  23. Find two numbers whose sum is 27 and product is 182.

    Long Answer Mar-2018 • BSEH 10th

    Here

                    

                

                

               

               

               

               

             

    Multiple of 4 between 10 and 250 are 21Ans

  24. How many multiples of 4 lie between 10 and 250 ?

    Long Answer Mar-2018 • BSEH 10th

    Here

                

                

                

               

               

               

               

             

    Multiple of 4 between 10 and 250 are 21Ans

  25. Prove that in two concentric circles, the chord of the larger circle, which touches the smaller circle, is bisected at the point of contact.

    Long Answer Mar-2018 • BSEH 10th

    Let  o be the center of two concentric circles C1 Aand C2

    Let AB are chord of the C2 which is tangent the smaller circles  C1 at the point of D npw we have to prove that chord XY is bisected at D that is XD = DY

    Join OD

    Now OD is radius of C1 and XY is tangent to C1 at D

    So  OP             XY[Tangent at any point of circle    to radius at the point of contact ]

                                 XD=DY

                      Hence tthe prove ]

  26. One card is drawn from a well-shuffled deck of 52 cards. Find the probability of getting a face card.

    Long Answer Mar-2018 • BSEH 10th

    Total cards = 52

    Total face cards=12

    Probability of face card=  

                                         =

  27. Find the value of k, if the points A(8, 1), B(k, -4) and C(2, -5) are collinear.

    Long Answer Mar-2018 • BSEH 10th

    ABC are collinear

    A(8, 1)

    B(k, -4)

    C(2, -5)

    AB=BC

    AB=

     =  =

  28. SECTION-D

    28. Is the following situation possible ? If so, determine their present ages. The sum of the ages of two friends is 20 years. Four years ago, the product of their ages in years was 48.

    Long Answer Mar-2018 • BSEH 10th

    Let age of first friend = x years

    Let age of 2nd friend = x-20

     Four year ago

    Let age of first friend = x-4

    Let age of 2nd friend = 

    This eq. cannot be solved became value of x should be whole no.This situation doesn’t occurs

  29. Prove that

    Long Answer Mar-2018 • BSEH 10th

     

    Div both side by sin A,we get

        PUT 1 =

    =

    =

    =      R.H.S

  30. OR

    From a point on a bridge across a river, the angles of depression of the banks on opposite sides of the river are 30° and 45°, respectively. If the bridge is at a height of 3 m from the banks, find the width of the river.

    Long Answer Mar-2018 • BSEH 10th

    Let AB be a river and CD is a Bridge. E be any point on Bridge   

     In ∆ AEF,

    °

      

         

                        = FB=3

     

       Breath of River =

  31. Construct triangle of sides 4 cm, 5 cm and 6 cm and then a triangle similar to it whose sides are  of the corresponding sides of the first triangle. Give the justification of the construction also.

    Long Answer Mar-2018 • BSEH 10th

    Step1= Draw a line segment AB = 4cm

    Take A,B as center, draw arcs of 6cm, 5cm

     Let these arcs intersects at C,    ABC is required  having sides

    4,5,6 cm respectively

    Step2= Draw a ray AX making acute angle with AB on opposite side of vertex C

    Step3= Locate 3 points A1,A2,A3 on AX  as in 2/3, 3is greater. Now join A3 With point B a draw a line thorough A2  to A3 B

    Step4= Draw a line through B1 BC ABC is required

  32. A metallic sphere of radius 4.2 cm is melted and recast into the shape of a cylinder of radius 6 cm. Find the height of the cylinder.

    Long Answer Mar-2018 • BSEH 10th

    radius of sphere = 4.2 cm

                  volume=

                              =

    Vol. of cylinder = Vol of sphere

              =

             

                  = 2.75 ans  

  33. The lengths of 40 leaves of a plant are measured correct to the nearest millimetre and the data obtained is represented in the following table :

    Length
    (in mm)

    117.5-
    126.5

    126.5-
    135.5

    135.5-
    144.5

    144.5-
    153.5

    153.5-
    162.5

    162.5-
    171.5

    171.5-
    180.5

    Number of
    Leaves

    3

    5

    9

    12

    5

    4

    2

    Find the median length of the leaves

    Long Answer Mar-2018 • BSEH 10th

    Length

    No of Leaves

     C.F

    117.5-126.5

    3

    3

    126.5-135.5

    5

    8

    135.5-144.5

    9

    17

    144.5-153.5

    12

    29

    153.5-162.5

    5

    34

    162.5-171.5

    4

    38

    171.5-180.5

    2

    40

     n = 40

       C.F=29,  l = 144.5

               h = 9

    median =

                 =

                 =74

                 = 137.75 ans

     

  34. Or

    The following distribution shows the daily pocket allowance of children of a locality. The mean pocket allowance is Rs. 18. Find the missing frequency  f :

    Daily Pocket Allowance (in Rs.)

    11-13

    13-15

    15-17

    17-19

    19-21

    21-23

    23-25

    Number of Children

    7

    6

    9

    13

    f

    5

    4

    Long Answer Mar-2018 • BSEH 10th

    Allowance

    No. of Children

    Mid point  x

    fixi

    11-13

    7

    12

    8 4

    13-15

    6

    14

    8 4

    15-17

    9

    16

    14 4

    17-19

    13

    18

    23 4

    19-21

    20

    20f

    21-23

    5

    22

    110

    23-25

    4

    24

    96

     

    44+

     

    752+20

         Mean = 

         18 =

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01 Where can I find Mathematics previous year question papers for Metric Class?

This page lists Mathematics question papers uploaded for Board of School Education Haryana Metric Class, organized for subject-wise browsing where available.

02 Are these official Board of School Education Haryana question papers?

BRpaper is not the official website of Board of School Education Haryana. These papers are shared for reference and revision purposes only and are not official board material.

03 How can previous year Mathematics papers help in exam preparation?

Reviewing past papers can help you understand how questions are typically framed, notice commonly repeated topics, and get a sense of the exam pattern before your own exam.

04 What kind of topics does Mathematics usually cover?

The question papers here relate to the official Mathematics syllabus set by the board for this class.

05 Does this page include a Mathematics previous year question paper or solved answers?

This page focuses on providing access to the previous year question papers themselves. A separate question bank or solved answers may not be available for every paper.

06 Can I find papers for other subjects in the same Metric Class?

Yes, BRpaper organizes papers by board and class, so you can browse other subjects within the same Board of School Education Haryana Metric Class.