GBSHSE 12^{th} Mathematics Sample Papers are given below which are based on the syllabus as prescribed by the officials. Goa 12^{th} board Maths model papers should be taken as a study material foe the exam preparations. It is important for the students to practice as many questions as possible so that they have the idea of how to solve them in exam.

Below are some sample questions from Mathematics and the candidates can start their preparations now-

Q1: Find the value of x if the points (3, 2, 1), (4, x, 5), (4, 2, -2) and (6, 5,-1) are coplanar.

Q2: Two cards are drawn at random without replacement from a pack of 52 cards. Find the probability that both the cards are black.

Q3: A variable plane which remains at a constant distance 3p from the origin cuts the coordinate axes at the points A,B,C. Show that the locus of the centroid of ∆ ABC is given by x^{-2} + y^{-2} + z^{-2} = p^{-2}

Q4: A, B, and C started a partnership and invested Rs.100000, Rs. 80,000 and Rs. 1,20,000 respectively. C took loan of Rs 70,000 and paid 9.5% interest to the firm. The firm earned the profit of Rs 135000 in addition to the interest from the loan. Find each partners total earnings if the profits are distributed in the ratio of the capital investments.

You can get the full set of question papers from below table. Mathematics requires maximum of practice and effort before the exam which every candidate should put in. Still if you find any kind of difficulty you can let us know in comment section below and we will help you with best of answers. Also, refer to other subjects’ Goa Board papers which can be a part of your study material.

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