Solved question paper for Math Mar-2017 (PSEB Class 10th)

Solved Question Paper

MATHEMATICS Mar-2017

PSEB • Class 10th • 1st • Mar-2017

Math previous year question papers on BRpaper help students looking for PSEB 10th Class Question Papers in Mathematics, Math, and Maths formats for board exam practice. This subject section is useful for checking old papers, understanding the question style, and revising common topics before the Punjab Board Class 10 exam. Students can browse subject-wise papers where available to get a clearer idea of the exam pattern, marking style, and the type of questions asked in the Punjab School Education Board Matric Maths paper. It can also support quick revision when searching for PSEB 10th Maths old paper, PSEB 10th math previous paper, or a PSEB 10th math sample paper for practice. BRpaper is not the official website of Punjab School Education Board or any institution, and it does not publish official notices or academic updates.

Solved Questions

Solved

  1. For which value of p does the pair of equation given below has unique solution

    4x + py + 8 = 0

    2 x + 2y + 2 = 0

    Very Short Answer Mar-2017 • PSEB Class 10th

    4x + py + 8 = 0

    2 x + 2y + 2 = 0

    Here a1  = 4  b1 = p  c1 = 8

    a2  = 4  b2 = p  c2 = 8

    condition for unique solution is:

    ({a_1 over a_2 } otin { 4 over 2 } otin {p over 2} = 2 otin {p over 2 } P otin 2)

  2. For AP : ({3over 2},{1over 2},{-1over 2},{-3over 2})  ........ write the first term 'a' and cofilmon difference 'd'.

    Very Short Answer Mar-2017 • PSEB Class 10th

    Here is first term is 3/2

    Common Difference is 1/2 -3/2 = -1

  3. Write the definition of Pythagoras theorem.

    Very Short Answer Mar-2017 • PSEB Class 10th

    Pythagoras theorem : If Triangle ABC is a right angled have 900  at B  then 

    AC2  = BC2  + AB2 

  4. Fill in the blank :

    ..........-cot2 0 = 1

    Very Short Answer Mar-2017 • PSEB Class 10th

    Cosec2Q -  cot2 0 = 1

  5. Find the volume of sphere rvhose radius is 3 cm.

    Very Short Answer Mar-2017 • PSEB Class 10th

    Radius of Sphere = 3cm

    Volume = ({4 over 3} pi r_2)

    = ({4 over 3} pi 3)

    =(4 pi * 9 = 36pi )

  6. Find the L.C.M and H.C.F of 6 and 20 by prime factorisation method .

    Short Answer Mar-2017 • PSEB Class 10th

    6 = 2 * 3 

    20 = 2 * 5 * 2 

    HCF = 2

    LCM = 2 * 3 * 5 * 2  = 60 

  7. Check whether the first polynomial is a factor of second polynomial by dividing the second polynomial by first polynomial

    t2 - 3,2t + 3 t3 -2t2 - 9t - 12

    Short Answer Mar-2017 • PSEB Class 10th

  8. Find such value of k for quadratic equation kx2 - 2 kx + 6 = 0 so that they have two equal roots

    Short Answer Mar-2017 • PSEB Class 10th

    kx2 - 2 kx + 6 = 0

    Here a=k, b= -2k, c= 6

    D = B2 -4ac = (2k)2 - 4.k.6

    = 4k2 -24k

    For Equal Roots D =0 

    4k2 -24k = 0

    4k(k-6) = 0 

    k=0 , or  k =6

    but k not equal to Zero 

    K = 6

  9. Show that a1  ,a2 ,  a3.........an form AP where an : 3+4n

    or

    For AP : 7, 11 , 15 , 19 , ...... Find the sum of first 15 terms.

    Short Answer Mar-2017 • PSEB Class 10th

    an = 3 + 4n  Put  n = 1 , 2 ,3 , 4 ...........

    we get , a1  = 3 + 4(1) = 7

    a2  = 3 + 4(2) = 11

    a3 = 3 + 4(3) = 15

    7 , 11, 15, 19 ............ is an AP 

    a = 7, d = 4  given n = 15

    Sn = ({n over 2} [ 2a + (n-1)d ] = {15over 2} [ 2(2) + (15-1)4 ] = {15over 2} [(14 + 56) ] = {15over 2} [70] ] = 15 * 35 = 525 )

  10. The length of a tangent from a point A at distance 5 cm from the centre of the circle is 4 cm. Find the radius ofthe circle.

    or

    Two concentric circles are of radii 5 cm and 3 cm. Find the length of chord of the larger circle which touches the smaller circle.

    Short Answer Mar-2017 • PSEB Class 10th

  11. Draw a line segment of length 6.5 cm and divide it in the ratio3:4

    or

    Draw a circle of radius 4 cm. From a point 7 cm away from a centre construct the pair of Tangent to the circle and measure its length

    Short Answer Mar-2017 • PSEB Class 10th

  12. A bag contains 3 red and 5 black balls. A ball is drawn at random from the bag. What is the probability that the ball drawn is

    (i) red (ii) not red.

    Short Answer Mar-2017 • PSEB Class 10th

    Red Ball = 3 

    Black Ball = 5

    Total = 8

    PRobability of Red Ball = 3/8

    Probability of not Red  = 1 - 3/8 = 5/8 Answer

  13. The cost of I pencil and 3 erasers is rupess 10 and the cost of 4 pencils and 6 erasers is rupess 28. Find the cost of 5 Pencils and 4 erasers.

    Short Answer Mar-2017 • PSEB Class 10th

    Let cost of 1 Pencil = x

         cost of 1 Eraser = y

    x + 3y = 10

    4x + 6y = 28

    6y = 12

    y = 2

    x + 3(2) = 10 

    x = 10 - 6 = x= 4

    Cost of 1 pencil = 4 Rupees

    cost of 1 eraser = 2 Rupees

    Cost of 5 pencils = 4 * 5 = 20 

  14. Find the co-ordinates of the points of trisection (i.e. point dividing the three equal parts) of the segment joining the points A(2,-2) and  B(-7,4)

    Long Answer Mar-2017 • PSEB Class 10th

  15. If tan (a+n) = ({sqrt{3}}) and tan (A-B) = ({1oversqrt{3}}); 00 < A + B <= 900 ; A > B then find the value of A and B.

    or

    Prove that:

     ({sqrt{1 + sin A over 1 - sin A}}) = sec A + tan A; A< 900

    Long Answer Mar-2017 • PSEB Class 10th

    Tan (A + B)  = (sqrt 3)

    Tan (A - B)  = 1/(sqrt 3)

    Tan (A + B)  = Tan 600

    Tan (A - B)  = Tan 300

    A + B = 60 

    A - B = 30

    2A = 90

    A = 45

    A + B = 60

    B = 60 - A

    = 60 - 45

     B = 150

     

    or

     

    ( sqrt{ 1 + Sin A over 1 + Sin A } = sqrt{ {1 + Sin A over 1 - Sin A} * {1 + Sin A over 1 + Sin A} } ) 

    ({1 + SinA over sqrt {Cosec^2A}} = {1+ SinA over cos A} = {1 over cos A} + {SinA over cos A })

    = SecA + TanA 

  16. Two poles of equal heights are standing opposite each other on either side of the road which is g0 m rvide. From a point betrveen them on the road the angles of elevation of top of the poles are 60o and 30o. Find the height of the poles and distance of the point from the pole

    Long Answer Mar-2017 • PSEB Class 10th

  17. In a circle of radius 2l cm,an arc subtends an angle of 600 at the centre. Find

    (i) The length of the arc

    (ii) Area of sector

    Long Answer Mar-2017 • PSEB Class 10th

     Radius of circle = 21 cm 

    Q = 600

    r = 21cm

    (i) Q = l/r   l =rQ   =  21 * 600

    ar length  = 21 * ({pi over 3} = 7 pi)

     

    (ii) Area of Sector = ({Q over 360} * pi r^2 = { 60 over 360} * pi * 21* 21 = {441pi over 6})

  18. Prove that the ratio of the areas of two similar triangle is equal to the squares of the ratio of their corresponding sides.

    or

    Prove that in a right triangle, the square ofthe hypotenuse is equal to the sum of the squares of the othertwo sides.

    Long Answer Mar-2017 • PSEB Class 10th

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FAQ

Frequently Asked Questions

Answers about this subject, solved papers, and preparation.

Updated regularly
01 Where can I find PSEB 10th Mathematics previous year question papers subject-wise on BRpaper?

This Math page on BRpaper is meant for students looking for PSEB 10th Class Mathematics previous year question papers in one subject-focused place. You can use it to check the available years on this page and revise the Maths paper pattern topic-wise through past board papers where listed.

02 Does this page include the latest available PSEB 10th Maths board paper?

Students often visit this page to look for the latest available PSEB 10th Maths paper along with older papers. The best approach is to check the years listed on the page, because availability can vary and BRpaper should be used based on the papers currently shown there.

03 Can PSEB 10th Maths previous papers help me understand the exam pattern and marks distribution?

Yes. Previous year Maths papers are useful for understanding section balance, question style, and how marks are spread across different types of questions. They are most helpful for pattern awareness and revision practice, not as a guarantee that the same questions will repeat.

04 What is the usual question format in the PSEB Class 10 Maths paper?

Students commonly check old papers to understand the current structure. The PSEB Class 10 Maths written paper is generally organized as an 80-mark paper with Section A MCQs, followed by 2-mark, 4-mark, and 6-mark questions. Internal choice is usually seen in some longer questions, and case-study-linked choice-based questions may also appear in the paper format.

05 Are previous year PSEB 10th Maths papers enough for revision, or should I also check sample papers?

Previous papers are good for seeing real board-style questions, recurring formats, and time-management demands. For better revision, students often use them together with model or sample papers so they can practice both past paper style and fresh question mixes.

06 How should I practice PSEB 10th Maths previous year papers for board exam revision?

Start by solving one paper in exam-like time, then review which sections took the most time and where mistakes happened. After that, use more papers from the available years on this page to compare question style, improve speed, and revise commonly tested areas in Mathematics.

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