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Organisation : Madhya Pradesh Board of Secondary Education (MPBSE)
Exam Name : High School Exam 2025
Class : Class 10th
Subject : Maths
Download : Sample Practice Question Paper
Website : https://www.mpbse.nic.in/ModelPaper.HTML

MPBSE Class 10th Maths Sample Question Paper

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Related / Similar Question Paper : MPBSE Class 10th English 2025 Sample Question Paper

(𝑖) 𝐻𝐶𝐹 𝑜𝑓(12, 16, 20) 𝑖𝑠 –
(𝑎) 1
(𝑏) 2
(𝑐) 3
(𝑑) 4

(𝑖𝑖) Degree of linear polynomial is –
(𝑎) 0
(𝑏) 2
(𝑐) − 1
(𝑑) 1

(𝑖𝑖𝑖) The condition for the systems of equations 𝑎1𝑥 + 𝑏1𝑦 + 𝑐1 = 0 𝑎𝑛𝑑 𝑎2𝑥 + 𝑏2𝑦 + 𝑐2 = 0 have a unique solution is –
(𝑎) 𝑎1/𝑎2 ≠ 𝑏1/𝑏2
(𝑏) 𝑎1/𝑎2 = 𝑏1/𝑏2= 𝑐1/𝑐2
(𝑐) 𝑎1/𝑎2= 𝑏1/𝑏2≠ 𝑐1/𝑐2
(𝑑) 𝑎1/𝑎2= 𝑏1/𝑏2

(𝑖𝑣) The quadratic equation 𝑎𝑥2 + 𝑏𝑥 + 𝑐 = 0, 𝑎 ≠ 0 will have two equal real roots, if
(𝑎) 𝑏2 + 4𝑎𝑐 = 0
(𝑏) 𝑏2 − 4𝑎𝑐 > 0
(𝑐) 𝑏2 − 4𝑎𝑐 < 0
(𝑑) 𝑏2 − 4𝑎𝑐 = 0

(𝑣) 11𝑡ℎ 𝑡𝑒𝑟𝑚 𝑜𝑓 𝑡ℎ𝑒 𝐴. 𝑃. − 3, −1/2 , 2, … 𝑖𝑠
(𝑎) 28
(𝑏) 22
(𝑐) − 38
(𝑑) − 22

(𝑣𝑖) Distance between points 𝑃(−7 ,7) 𝑎𝑛𝑑 𝑄(−2, −3) 𝑖𝑠 −
(𝑎) 5√5
(𝑏) 5√6
(𝑐)6√5
(𝑑) 4√5

Fill in the blanks :
(𝑖) For a quadratic equation 𝑎𝑥2 + 𝑏𝑥 + 𝑐 = 0, 𝑎 ≠ 0 discriminant 𝐷 = ………………..
(𝑖𝑖) Sum of first 𝑛 terms of an 𝐴. 𝑃. , 𝑆 =……………………
(𝑖𝑖𝑖) All circles are ……………………………
(𝑖𝑣) The common point of a tangent to a circle and the circle is called …………………………..
(𝑣) The Sum of the probabilities of all the elementary events of an experiment is …………
(𝑣𝑖) The tangent at any point of a circle is …………………….to the radius through the point of contact.

Write True/False in the following:
(𝑖) Equation (𝑥 − 2)2 + 1 = 2𝑥 − 3 is not a quadratic equation.
(𝑖𝑖) The common difference of the 𝐴. 𝑃. 3/2 , 1/2 , −1/2 , −3/2 , … . 𝑖𝑠 − 2
(𝑖𝑖𝑖) All isosceles triangles are similar.
(𝑖𝑣) Mid point of points 𝐴(3, −1) 𝑎𝑛𝑑 𝐵(6, 4) 𝑖𝑠 (9, 3).
(𝑣) For an event 𝐸, 𝑃(𝐸̅ ) = 1 − 𝑃(𝐸)
(𝑣𝑖) There is an empirical relationship between the three measures of central tendency.

Write the answer in one word/sentence of each :
(𝑖) Write the angle-angle (AA) similarity criterion.
(𝑖𝑖) Write the distance between the points 𝑃(𝑥1, 𝑦1) and (𝑥2, 𝑦2) .
(𝑖𝑖𝑖) Write the definition of line of sight.
(𝑖𝑣) Write the formula for the length of the arc of a sector of a circle.
(𝑣) How many tangents can a circle have?
(𝑣𝑖) Write the definition of the angle of depression

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