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. The relation between LCM and HCF of two positive integers  will be :

     (A) HCF > LCM   (B) HCF = LCM

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

    Very Short Answer Mar-2018 • BSEH 10th

    (C) LCM > HCF  

  2. Which one is polynomial ?

     (A)     (B)  

     (C)          (D)

    Very Short Answer Mar-2018 • BSEH 10th

    (D)

  3. If in equations  then which of the following is true ? 

     (A) Coincident lines  (B) Intersecting lines

     (C) Parallel lines        (D) None of thes

    Very Short Answer Mar-2018 • BSEH 10th

     (C) Parallel lines   

  4. Which one is an A. P. series ?

     (A) .           (B)

     (C) a, 2a, 3a, 4a, ……   (D) 1, 3, 9, 27, ……

    Very Short Answer Mar-2018 • BSEH 10th

     (C) a, 2a, 3a, 4a, ……

  5. In an A. P. 2, 7, 12, …. 10th term is :

     (A) −47   (B) 47

     (C) 57     (D) None of these

    Very Short Answer Mar-2018 • BSEH 10th

    (B) 47

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

    Very Short Answer Mar-2018 • BSEH 10th

    (D)

  7. Sides of two similar triangles are in the ratio 4 : 9. Areas of these triangles are in the ratio :  

    (A) 2 : 3             (B) 4 :  9

    (C) 81 : 16        (D) 16 : 81

    Very Short Answer Mar-2018 • BSEH 10th

    (D) 16 : 81

  8. How many tangents are drawn from a point on the circle  ?

     (A) 1                           (B) 2

     (C) Infinitely many  (D) None of these

    Very Short Answer Mar-2018 • BSEH 10th

     (C) Infinitely many

  9. The tangent at any point of a circle makes an angle to the radius through the point of contact :

     (A) 45°            (B) 90°

     (C) 180°          (D) 60

    Very Short Answer Mar-2018 • BSEH 10th

    (B) 90°

  10. Point P(3, 4) lies in which quadrant ?

     (A) First             (B) Second

     (C) Third            (D) Fourth

    Very Short Answer Mar-2018 • BSEH 10th

     (A) First     

  11. Coordinate of mid point of line joining two points are :

     (A) (5, −3)      (B) 

     (C) (0, 0)        (D) None of these

    Very Short Answer Mar-2018 • BSEH 10th

     (C) (0, 0)  

  12. State whether the following statement is true or false :

     "The value of sec A is always lies between −1 and 1"

    Very Short Answer Mar-2018 • BSEH 10th

    False Statement

  13. State whether the following statement is true or false :

     "cosec A is the product of cosec and A

    Very Short Answer Mar-2018 • BSEH 10th

    False 

  14. Area of major sector of angle θ° of a circle with radius R will be:

     (A)          (B)  

     (C)  (D) None of these

    Very Short Answer Mar-2018 • BSEH 10th

     (C)

  15. CSA of hemisphere having radius 4 cm will be :

     (A) 32π    (B) 16π  

     (C) 64π    (D) None of these

    Very Short Answer Mar-2018 • BSEH 10th

        Ans=D

  16. Probability of getting 3 in a single throw of a die is :

     (A)    (B)  

     (C) 1    (D) 0

    Very Short Answer Mar-2018 • BSEH 10th

    (A) 

  17. SECTION-B

    17. Prove that  is an irrational number. 

    Short Answer Mar-2018 • BSEH 10th

    3

  18. Find a quadratic polynomial with the given number as the sum and product of its zeroes respectively are 3 and 2.

    Short Answer Mar-2018 • BSEH 10th

    Sum of zeroes =3

    Product=2

  19. A vertical pole of length 6 m casts a shadow 4 m long on the ground and at the same time a tower casts a shadow 28 m long. Find the height of the tower.

    Short Answer Mar-2018 • BSEH 10th

       

  20. Find the value of cos 48° − sin 42°.

    Short Answer Mar-2018 • BSEH 10th

  21. Cost of ploughing at the rate of Rs. 10 per 2 m is Rs. 1,540. Find the radius of circular field. 

    Short Answer Mar-2018 • BSEH 10th

    Let Radius of field=r

  22. SECTION-C

    22. Solve the following equations : 

    Long Answer Mar-2018 • BSEH 10th

  23. The altitude of a right angled triangle is 7 cm less than its base. If the hypotenuse is 13 cm, find the other two sides.

    Short Answer Mar-2018 • BSEH 10th

  24. How many two-digit numbers are divisible by 3 ?

    Short Answer Mar-2018 • BSEH 10th

  25. PQ is a chord of length 8 cm of a circle of radius 5 cm tangents at P and Q intersect at a point T. Find the length TP, if O is the centre of a circle

    Short Answer Mar-2018 • BSEH 10th

    Let TR=y

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

    Short Answer Mar-2018 • BSEH 10th

    Total cards in deck=52

    No of jack of Hearts=1

    Probability of Jack =

  27. Find the area of a triangle whose vertices are   (1, −1), (−4, 6) and (−3, −5).

    Short Answer Mar-2018 • BSEH 10th

  28. SECTION-D

    28. Is it possible to design a rectangular park of perimeter 80 m and area 400 m2 ? If so, find its length and breadth.

    Long Answer Mar-2018 • BSEH 10th

    Perimetr  of rectangular park=80m

    Rectangular park is not possible l=b

  29. Prove that , using the identity

    Long Answer Mar-2018 • BSEH 10th

  30. OR

    A tree breaks due to storm and the broken part bends so that the top of the tree touches the ground making an angle 30° with it. The distance between the foot of the tree to the point where the top touches the ground is 8 m. Find the height of the tree.

    Long Answer Mar-2018 • BSEH 10th

    let h be the height of tree.

  31. Draw a triangle ABC with sides BC = 6 cm, AB = 5 cm and ABC = 60°, then construct a triangle whose sides are   of the corresponding sides of the triangle ABC. Give the justification of the construction also

    Long Answer Mar-2018 • BSEH 10th
  32. A 20 m deep well with diameter 7 m is dug and the earth taken out of it has been spread evenly in the shape of a platform 22 m × 14 m. Find the height of the platform.

    Long Answer Mar-2018 • BSEH 10th

  33. 100 surnames were randomly picked up from a local telephone directory and the frequency distribution of the number of letters in the English alphabets in the surnames was obtained as follows

    Number of letters

    1-4

    4-7

    7-10

    10-13

    13-16

    16-19

    Numbers of surnames

    6

    30

    40

    16

    4

    4

     

     Find the median numbers of letters in the surnames.

    Long Answer Mar-2018 • BSEH 10th

    No of letters

    No of surname

    c.f

    1-4

    6

    6

    4-7

    30

    36

    7-10

    40

    76

    10-13

    16

    92

    13-16

    4

    96

    16-19

    4

    100

  34. OR

    Consider the distribution of daily wages of 50 workers of a factory :

    Daily wages(in Rs)

    100-120

    120-140

    140-160

    160-180

    180-200

    Number of workers

    12

    14

    8

    6

    10

    Find the mean daily wages of the workers of the factory by using an appropriate method.

    Long Answer Mar-2018 • BSEH 10th

    Daily wages

    No of Wagers

     

    100-120

    12

    110

    -40

    -2

    -24

    120-140

    14

    130

    -20

    -1

    -14

    140-160

    8

    150

    0

    0

    0

    160-180

    6

    170

    20

    1

    6

    180-200

    10

    190

    40

    2

    20

                              50                                                                                                         12

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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.