STATE_KERALA Class 10 mathematics Question Paper 2025

Practice authentic previous year questions for better exam preparation.

Sample Questions

Draw a circle of radius 3 centimetres. Mark a point 9 centimetres away from the centre, Draw tangents from this point to the circle. Answer any eight questions from 11 to 21 . Each question carries 4 scores.
Draw a rectangle of sides 7 centimetres and 3 centimetres and draw a square of equal area to it.
Draw a circle of radius 2 centimetres. Draw a triangle with two of the angles $55^{\circ}$ and $75^{\circ}$ with all its sides as the tangents of the circle.
$6^{\text {th }}$ term of an arithmetic sequence is 27 and $16^{\text {th }}$ term is 67 . a Find the common difference of this sequence. b Find its first term. c Write its algebraic form. d Find the sum of first 31 terms of this sequence.
Numbers from 1 to 20 are written on paper slips and put in a box. If a slip is to be taken from it without looking, a What is the probability that it is a prime number ? b What is the probability that it is a perfect square ?