Class X Mathematics Guess Paper 2026

This Class X Mathematics Guess Paper 2026 is specially designed for students preparing for board exams. It contains all important short and long questions from Section B and Section C based on past papers and expected exam patterns. By practicing this guess paper, students can improve their concepts, speed, and accuracy.

The Class X Mathematics Guess Paper 2026 includes algebra, trigonometry, matrices, geometry, statistics, and proofs. All questions are included completely without missing any part so that students get full exam preparation in one place.

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SECTION B (Short Answer Questions)

Note: Attempt any six questions.

Q.2

If P = {a, b, c} and Q = {x, y, z} find a bijective function from Q to P.

OR A = {1,2,3,4,5,6}, B = {2,4,6,8,10}. Prove A Δ B = (A ∪ B) − (A ∩ B).

OR Verify De Morgan Law (A ∪ B)’ = A’ ∩ B’.

Q.3

If F ∝ m³, when m = 3, F = 81, find F when m = 5.

OR If a:b = c:d = e:f prove given identities.

OR Solve equations using componendo-dividendo.

Q.4

Verify trigonometric matrix identity.

OR Find value of λ for singular matrix.

OR Solve linear equations using matrix/Cramer rule.

Q.5

Find cube roots of 64 or −27.

OR Prove identity involving ω.

OR Find p and q for quadratic roots vanish.

Q.6

Resolve into partial fractions.

Q.7

Verify A.M > G.M > H.M for given data.

OR Find mean deviation or standard deviation.

OR Find Arithmetic Mean from grouped data.

Marks	25-29	30-34	35-39	40-44	45-49
Students	9	18	35	17	5

Q.8

Find remaining trigonometric ratios if sinθ = √3/2 in 2nd quadrant.

OR Find arc length and sector area.

OR Find distance travelled in circular motion.

Q.9

Prove trigonometric identities.

OR Find angle of elevation.

OR Find distance of ship from lighthouse.

Q.10

Prove perpendicular from centre bisects chord.

OR Prove tangent theorem.

Q.11

Equal chords subtend equal angles at centre.

OR Angle in segment theorem.

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SECTION C (Detailed Answer Questions)

Note: Attempt any three questions. All questions carry equal marks.

Q.12

Find multiplicative inverse of any one of the following matrices by using adjoint method:

(i) A = [2 1 1; 3 2 1; 2 1 2]

(ii) A = [1 −1 3; 2 1 2; −2 −2 1]

Q.13

If a line segment intersects the two sides of a triangle in the same ratio then it is parallel to the third side. Prove it.

OR

A line parallel to one side of a triangle and intersecting the other two sides divides them proportionally. Prove it.

Q.14

If the square of one side of triangle is equal to the sum of the squares of the other two sides, then the triangle is a right angled triangle. Prove it.

Q.15

Draw the circumcircle of ΔABC where AB = 6 cm, BC = 5 cm and AC = 7 cm. Also write steps of construction.

OR

Draw two tangents to a circle of radius 3.6 cm and centre O, meeting at 60°.

OR

Draw direct common tangents to circles of radii 3.4 cm and 2.1 cm with distance between centres 7.5 cm.

Q.16

If two chords of a circle are congruent then they are equidistant from the centre. Prove it.

OR

If two circles touch externally, the distance between their centres is equal to the sum of their radii. Prove it.

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Conclusion

This Class X Mathematics Guess Paper 2026 provides complete preparation for students. Practice all questions regularly to achieve high marks in exams. Stay focused and revise important concepts daily.