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Bihar Board Class 10 Higher Mathematics (Elective) Question Paper 2026 with Solution Pdf

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Nidhi Bamnawat

| Updated On - Feb 26, 2026

The Bihar Board Class 10 Higher Mathematics (Elective) Question Paper with Solution Pdf is available here for download. The Bihar Board Class 10 Higher Mathematics (Elective) exam for 2026 follows a pattern heavily emphasizing objective questions, with 50% of the paper consisting of Multiple Choice Questions (MCQs). The total paper is of 100 marks (without practical) or 80-90 marks with internal assessment, featuring a mix of MCQ, short answer, and long answer questions.

Bihar Board Class 10 Higher Mathematics (Elective) Question Paper 2026 with Solution Pdf

Bihar Board Class 10 Higher Mathematics (Elective) Question Paper 2026 Download PDF Check Solutions
Bihar Board Class 10 Higher Mathematics (Elective) Question Paper 2026 with Solution Pdf

Question 1:

If \(540 = 2^x \times 3^y \times 5^z\), find the value of \(x + y - z\).


Question 2:

Which of the following is an irrational number? (A) \(2.3\), (B) \(\sqrt{13} \times \sqrt{13}\), (C) \(\sqrt{441}\)


Question 3:

Find the HCF of \(m\) and \(n\) if both are prime numbers.


Question 4:

What is the value of \(\sin 90^\circ + \cos 0^\circ\)?


Question 5:

Find the distance of point \(P(3, 4)\) from the origin.


Question 6:

What is the degree of the polynomial \((x + 3)(x - 8)\)?


Question 7:

Find the HCF of 36, 54, and 90 using the prime factorization method.


Question 8:

Find the zeroes of the polynomial \(2x^2 - 6\).


Question 9:

Solve the pair of linear equations \(4x - 5y = 20\) and \(3x + 5y = 15\) using the graphical method.


Question 10:

State and prove the Pythagoras Theorem.


Question 11:

The difference of squares of two numbers is 180. If the square of the smaller number is 8 times the larger number, find both numbers.

Bihar Board Class 10 Mathematics – Last Minute Revision

*The article might have information for the previous academic years, please refer the official website of the exam.

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