MSBSHSE Class 10th Mathematics Question Paper 2025 Maharashtra

Organisation : Maharashtra State Board of Secondary and Higher Secondary Education (MSBSHSE)
Exam Name : SSC Exam March 2025
Class : Class 10th
Subject : Mathematics I and II
Subject Code : 71
Download : Question Paper
Website : https://www.mahahsscboard.in/en/questionPaper

MSBSHSE Class 10th Mathematics Question Paper

Maharashtra State Board of Secondary and Higher Secondary Education (MSBSHSE) SSC Exam March 2025 Class 10th Mathematics – I ( Algebra) & Mathematics – II (Geometry) Question Paper.

Related / Similar Question Paper : MSBSHSE Class 10th Social Sciences Question Paper 2025 Maharashtra

MSBSHSE Class 10th Mathematics Questions

(A) Choose the correct alternative from given :

(1) Out of the following which is a Pythagorean triplet ?
(A) (1, 5, 10)
(B) (3, 4, 5)
(C) (2, 2, 2)
(D) (5, 5, 2)

2) ACB is inscribed angle in a circle with centre O. If ACB = 65º, then what is measure of its intercepted arc AXB ?
(A) 65º
(B) 230º
(C) 295º
(D) 130º

(3) Distance of point (3, 4) from the origin is ……………….. .
(A) 7
(B) 1
(C) 5
(D) –5

(4) If radius of cone is 5 cm and its perpendicular height is 12 cm, then the slant height is ………………… .
(A) 17 cm
(B) 4 cm
(C) 13 cm
(D) 60 cm

(B) Solve the following sub-questions (any two) :
(1) Show that points P(1, –2), Q(5, 2), R(3, –1), S(–1, –5) are the vertices of a parallelogram.
(2) Prove that tangent segments drawn from an external point to a circle are congruent.
(3) Draw a circle with radius 4.1 cm. Construct tangents to the circle from a point at a distance 7.3 cm from the centre.
(4) How many solid cylinders of radius 10 cm and height 6 cm can be made by melting a solid sphere of radius 30 cm ?

Solve the following sub-questions:
(1) ABC ~ PQR. In ABC, AB = 3.6 cm, BC = 4 cm and AC = 4.2 cm. The corresponding sides of ABC and PQR are in the ratio 2 : 3, construct ABC and PQR.

(2) The radii of the circular ends of a frustum of a cone are 14 cm and 8 cm. If the height of the frustum is 8 cm, find : ( = 3.14)
(i) Curved surface area of frustum.
(ii) Total surface area of the frustum.
(iii) Volume of the frustum.

Solve the following sub-questions (any one) :
ABCD is a rectangle. Taking AD as a diameter, a semicircle AXD is drawn which intersects the diagonal BD at X. If AB = 12 cm, AD = 9 cm, then find the values of BD and BX.

Note :
(i) All questions are compulsory.
(ii) Use of a calculator is not allowed.
(iii) The numbers to the right of the questions indicate full marks.
(iv) In case of MCQs [Q. No. 1(A)] only the first attempt will be evaluated and will be given credit.
(v) Draw proper figures wherever necessary.
(vi) The marks of construction should be clear. Do not erase them.
(vii) Diagram is essential for writing the proof of the theorem.

Download MSBSHSE Class 10th Mathematics Question Paper

Mathematics – I ( Algebra) :
https://www.pdfquestion.in/uploads/pdf2025/44155-maths1.pdf

Mathematics – II (Geometry) :
https://www.pdfquestion.in/uploads/pdf2025/44155-maths2.pdf