Solved question paper for Math Mar-2018 (PSEB Class 10th)

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MATHEMATICS Mar-2018

PSEB • Class 10th • 1st • Mar-2018

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.

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Select the corect ansrver in the following:

Arca of a sector of angle p (in degrees) of a circle rvith radius R is :

a) ({Pover180}*2nR) b)({P over 180} * nR^2 ) c) ({Pover360}*2nR) d) ({P over 360} * 2nR^2 )

Very Short Answer Mar-2018 • PSEB Class 10th

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c) ({Pover360}*2nR)
Mar 2018
Select the corect ansrver in the following:
\r\n\r\n
Arca of a sector of angle p (in degrees) of a circle rvith radius R is :
\r\n\r\n
a) \\({P\\over180}*2nR\\) b)\\({P \\over 180} * nR^2 \\) c) \\({P\\over360}*2nR\\) d) \\({P \\over 360} * 2nR^2 \\)
Which of the following cannot be the probability of an event :

a) ( {2over3}) b)-1.5 c)15% d) 0.7

Very Short Answer Mar-2018 • PSEB Class 10th

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-1.5 cannot be the probability of an event

Probability never be neagtive
Mar 2018
Which of the following cannot be the probability of an event :
\r\n\r\n
a) \\( {2\\over3}\\) b)-1.5 c)15% d) 0.7
Every composite number can be expressed (factorized) as a product of prirnes, (True/False)

Very Short Answer Mar-2018 • PSEB Class 10th

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True
Mar 2018
Every composite number can be expressed (factorized) as a product of primes. (True/False)
Find the first term a and the conrmon difference d of A.P: - 5, - I, 3 7,______

Very Short Answer Mar-2018 • PSEB Class 10th

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First Term = -5

Common difference = -1 -(-5) = -1 + 5 = 4
Mar 2018
Part-A

1. Find the first term a and the conrmon difference d of A.P: - 5, - 1, 3 7,______

Mar 2017
For AP: -5,- 1.3,7 ..........write first term 'a'and comrnon difference 'd'.
Write the formula for finding volume of a firustum of a cone.

Very Short Answer Mar-2018 • PSEB Class 10th

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volume of a firustum of a cone

V = ({pi over 3 }( R^2 + Rr + r^2))
Mar 2018
Write the formula for finding volume of a frustum of a cone
If the area of a triangle is O square units then the vertices of a triangle are _______

Very Short Answer Mar-2018 • PSEB Class 10th

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Collinear
Mar 2018
If the area of a triangle is 0 square units then the vertices of a triangle are _________ (Fill in the blanks)
sin (A+B)=sinA+sinB (Write Ture/False)

Very Short Answer Mar-2018 • PSEB Class 10th

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False
Mar 2018
sin (A + B) = sin A +sin B (Write True/False)
A polynomial of degree _______ is called a linear polynomial.

Very Short Answer Mar-2018 • PSEB Class 10th

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one
Mar 2018
A polynomial of degree is called a linear polynomial (Fill in the blanks)

If tangents PA and PB from a point P to a circle with centre 0 are inclined to each other at angle of 80⁰. then find the valne of POA

Short Answer Mar-2018 • PSEB Class 10th

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Angle POA = ?

Sun of angle of triangle is = 180⁰

LP + LO + LA = 180⁰

40 + 90 + LPOA = 180⁰

LPOA = 180 -130

= 50⁰
Mar 2018
If tangents PA and PB from a point P to a circle with centre o are inclined to each other at angle of 80°, then find the value of LPOA.
A child has a die whose six faces shorw the letters as given below :

A B C D E A

The die is tlrown once. What is tlre probability of getting

(i) A? (ii) D ?

Short Answer Mar-2018 • PSEB Class 10th

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P(A) = 2 / 6 = 1/ 3

P(D) = 1/ 6
Mar 2018
A child has a die whose six faces shorw the letters as given below :
\r\n\r\n
A B C D E A
\r\n\r\n
The die is tlrown once. What is tlre probability of getting
\r\n\r\n
(i) A? (ii) D ?
Use Euclid's division algorithm to find the H.C.F. of 420 and 130'

Short Answer Mar-2018 • PSEB Class 10th

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Mar 2018
Use Euclid's division algorithm to find the H.C.F. of 420 and 130.
Solve the pair of lirrear equation 2x + 3y = 11 and 2x - 4y = -24

Short Answer Mar-2018 • PSEB Class 10th

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Mar 2018
Solve the pair of linear equation 2x + 3y = 11 and 2x - 4y = -24,
The wickets taken by a bowler in l0 cricket matches are as follows :

2 6 4 5 0 2 1 3 2 3

Find the mode of the data

Short Answer Mar-2018 • PSEB Class 10th

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2 6 4 5 0 2 1 3 2 3

Mode = 2

2 occur three times which is greater than Every Number
Mar 2018
The wickets taken by a bowler in 10 cricket matches are as follows:
\r\n\r\n
2 6 4 5 0 2 1 3 2 3
\r\n\r\n
Find the mode of the data.
Two poles of heights 6 m and 11 m stand on a plane ground. If the distance between the feet of the poles is 12 m, find the distance between their top

Short Answer Mar-2018 • PSEB Class 10th

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Let AC and BE Two towers 12m apart

In CED , DC² = CE² + DE²

= 12² + 5²

= 144 + 25

= 169

DC = 13

Distance between their Poles = 13 m
Mar 2018
Two poles of heights 6 m and 11 m stand on a plane ground. If the distance between the feet of the poles is 12 m, find the distance between their tops
Find the discriminant of the quadratic equation 2x² 6x + 3 = 0. and hence find the nature of its roots

Short Answer Mar-2018 • PSEB Class 10th

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2x² 6x + 3 = 0

Here a = 2 b = 6 c = 3

D = b²- 4ac (-6)² - 4. 2. 3

= 36 -24 =12
Mar 2017
Find the nature ofthe roots of euadratic equation 2x² - 6 x + 3 = 0.
Divide the polynomial p (x) = x³ - 3x² + 5x - 3 by the polynomial g(x) = x² -2 Find the quotient and remainder.

Short Answer Mar-2018 • PSEB Class 10th

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Mar 2018
Divide the polynomial p(x) = x 3x +5x-3 by the polynomial g(x)= x2 -2. Find the quotient and remainder.

The angle of elevation of the top of a tower from a point on the ground. which is 30 m away front the foot of the tower, is 30⁰. Find fhe heiglrt of the tower

Long Answer Mar-2018 • PSEB Class 10th

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BC be a tower with hight R

In Triangle ABC ,

Tan30 = R/AB

(1 over sqrt 3) = R/ 30

h = ({30 over sqrt 3} * {sqrt3 over sqrt 3} = { 30 sqrt 3 over 3})

h = (10sqrt 3)
Mar 2018
The angle of elevation of the top of a tower from a point on the ground, which is 30 m away from the foot of the tower, is 30°. Find the height of the tower.

Mar 2017
The angle of elevation of the top of a tower from a point on the ground which is 30 m away fror the foot ofthe tower is 30⁰. Find the height of the tower.
In the given figure, OACB is a quadrant of a circle with centre O and radius 3.5 cm. If OD = 2 crn, find tlre area of the

(i) Quadrant OACB (ii) Shaded region.

Long Answer Mar-2018 • PSEB Class 10th

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Mar 2018
In the given figure, OACB is a quadrant of a circle with centre O and radius 3.5 cm. If OD = 2 crn, find tlre area of the
\r\n\r\n
(i) Quadrant OACB (ii) Shaded region.
Prove that opposite sides ofn quadrilateral circumscribing a circle subtend supplementary angles at the centre of the circle.

or

D and E are points on the sides CA and CB respectively of a triangle ABC right angled at C. Prove that : AE² + BD² = AB² + DE²

Long Answer Mar-2018 • PSEB Class 10th

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Mar 2018
Prove that opposite sides of a quadrilateral circumscribing a circle subtend supplementary angles at the centre of the circle
\r\n
\r\n or
\r\n\r\n
D and E are points on the sides CA and CB respectively of a triangle ABC right angled at C. Prove that : AE? + BD = ABS + DE
In a class test, the sum of Shefali's rnarks in Mathematics and English is 30. Had she got 2 marks more in Mathematics and 3 marks less in English, the product of their marks would have been 210. Find her marks in the two subjects.

Long Answer Mar-2018 • PSEB Class 10th

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Let Marks in Math = x

Marks in English = y

given x + y = 30

(x+2) * (y-3) = 210

From x + y = 30

y = 30 - x

(x+2)(30-x-3) = 210

(x+2)(27-x) = 210

27x - x² + 54 -2x =210

- x² +25x = 156

x² -25x +156 = 0

x² -13x - 12x + 156 = 0

(x-12) (x-13) = 0

x = 12 , x = 13

y = 30-12 = 18

y = 30-13 = 17
Mar 2018
In a class test, the sum of Shefali's marks in Mathematics and English is 30. Had she got 2 marks more in Mathematics and 3 marks less in English, the product of their marks would have been 210. Find her marks in the two subjects.
Consider TringleACB , right-angled at C. in which AB = 29 units, BC = 21 units and ZABC = 0 (see figure). Detemrine the value of sin² 0 + cos² 0

or

Prove that :

({l+sec over sec} = {sin2 A over 1-cosA})

Long Answer Mar-2018 • PSEB Class 10th

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({l+sec over sec} = {sin2 A over 1-cosA})

({l+secA over secA} ) = (1 + {1 over cosA} over {1 over cosA}) = (cos A + 1 over cos A)* (cosA over 1) = 1 + cos A

By Rationalizing

({l+secA over secA} ) = (1 + cos A over 1)* ((1 - cosA )over (1-cos A))

= (1^2 - cos ^2 A over 1- cos A)

(Sin^2A over 1- cos A)

LHS = RHS
Mar 2018
Consider TringleACB , right-angled at C. in which AB = 29 units, BC = 21 units and ZABC = 0 (see figure). Detemrine the value of sin² 0 + cos² 0
\r\n\r\n
or
\r\n\r\n
Prove that :
\r\n\r\n
\\({l+sec \\over sec} = {sin2 A \\over 1-cosA}\\)
An A.P. consists of 50 terms of which Srd term is 12 and the last term is 106. Find the 29th term

Long Answer Mar-2018 • PSEB Class 10th

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Given n = 50

a₃ = 12

a₅₀= 106

a₂₉= ?

a_n = a + (n-1)d

a₃ = a + (3-1)d

12 = a + 2d

-47d = -94

d = 97/47 =2

put

a + 2d = 12

a+ 2(2) = 12

a = 12-4 = 8

a =8

a₂₉= a + (29-1)d

= 8 + (28)2

= 8 + 56

a₂₉= 64
Mar 2018
An A.P. consists of 50 terms of which 3rd term is 12 and the last term is 106. Find the 29th term.
If A and B are (-2, -2) and (2, -4), respectively, find the coordinates of P such that AP = ({3over7}) AB and P lies on the line segment AB

Long Answer Mar-2018 • PSEB Class 10th

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Given A(-2, -2) , B(2 -4) be

two Points

AB be line joinin those points P be any Point on line Let coordinate of P be (x,y)

given AP = 3/7 AB

({AP over AB} = {3 over 7})

({AP over PB} = {3 over 4})

Here ((x_1 y_1) = (-2 , -2) , (x_2 y_2) = (2, -4))

(m_1 = 3, m_2 = 4)

By Section Formula

x = ({m_1 x_2 + m_2 x_1 over m_1 + m_1 } = {3(2) + 4(-2) over 3+4} )

x = ({6 - 8 over 7} = {-2 over 7})

y = ({m_1 y_2 + m_2 y_1 over m_1 + m_1 } = {3(-4) + 4(-2) over 3+4} )

y = ({-12 - 8 over 7} = {-20 over 7})

P = (({-2over 7} , {-20 over 7}))
Mar 2018
Part-C

17. If A and B are (-2,-2) and (2,-4), respectively, find the coordinates of P such that AP= 3/7 AB and P lies on the line segment AB.
A well of diameter 3 m is dug 14 m cleep. The earth taken ont of it has been spreacl evenly all arouud it in the slrape of a circular ring of rvidth 4 nr to fonrr an embanklrrent. Fincl the height of the embankment.

Long Answer Mar-2018 • PSEB Class 10th

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Diameter of well = 3m

Radius = 1.5 m

depth H = 14m

Vol of well = (pi r^2 H)

= (pi * (1.5)^2 * 14)

Volume of inner embankment = (pi r^2 h)

= (pi * (1.5)^2 * h )

Volume of outter embankment = (pi * (5.5)^2 * h )

Volume of well = Volume of inner embankment - Volume of outter embankment

(pi * (1.5)^2 * 14) = (pi * (1.5)^2 * h )- (pi * (5.5)^2 * h )

h = ({(1.5)^2 * 14 over (5.5)^2 - (1.5)^2} = {2.25 * 14 over 30.25 - 2.25} = 1.125 m)

Height of the embankment = 1.125m

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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.

Solved question paper for Math Mar-2018 (PSEB Class 10th)

MATHEMATICS Mar-2018

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