Organisation : Kerala State Council of Educational Research and Training (SCERT)
Exam : Class X (SSLC)
Document Type : Model/Sample Question Paper
Subject : Mathematics
Term : Summative Assessment (Term III)
Year : 2026
Website : https://scert.kerala.gov.in/sslc2026modq/
SCERT Kerala Class X Mathematics Sample Question Paper
Kerala State Council of Educational Research and Training (SCERT) Class X Mathematics Summative Assessment (Term III) Model/Sample Question Paper 2026.
SCERT Kerala Class X Mathematics Sample Questions
Section – A:
This section has 8 questions of 1 mark each. Select the correct answer from those given
1. Which of the numbers below is a term of the arithmetic sequence 2, 5, 8, …?
A. 22
B. 32
C. 42
D. 52
2. The scores of 8 students in an exam are given below:
30, 36, 41, 44, 28, 33, 44, 40
What is the median score?
A. 36
B. 44
C. 40
D. 38
3. Which of the points below is on the line through (2, 5), parallel to the x -axis?
A. (0, 5)
B. (2, 0)
C. (5, 0)
D. (5, 2)
4. The surface area of a sphere is 40 square centimetres. If it is cut into two equal hemispheres, what would be the surface area of each in square centimetres?
A. 10
B. 20
C. 30
D. 40
5. The algebraic form of an arithmetic sequence is xn = 4n + 1. In this sequence, how much more than the 10th term is the 15th term?
A. 5
B. 4
C. 41
D. 20
6. What are the x-coordinates of the points where the graph of the polynomial p(x) = x2- 6x +8 cuts the x-axis?
A. 2, 4
B. 4, 6
C. -2, 8
D. -2, -4
7. The equation of a line is 2x–y = 0. Read the following statements given below
i) (1,2) is a point on this line
ii) (2,1) is a point on this line
iii) The point where this line cuts the x-axis is (1, 0)
iv) The y – coordinate of each point on this line is twice the x–coordinate
Now choose the correct answer from those given below
A. (i) and (iii) are true
B. (i) and (iv) are true
C. (ii) and (iii) are true
D. (ii) and (iv) are true
Section – B:
9. In the figure, O is the centre of the circle. If a point is marked in this, what is the probability that it falls inside the shaded part?
10. The fifth term of an arithmetic sequence is 70 and the ninth term is 50
(i) In this sequence by how much does each term decrease, when the position increases by one? (1)
(ii) At what position does the term 0 occur in this sequence? (2)
11. A. Three-digit numbers are formed using cards with the numbers 2, 3, 5 written on them.
(i) How many such numbers can be made? (1)
(ii) What is the probability that such a number is even? (1)
(iii) What is the probability that such a number is a multiple of 5? (1)
OR
B. A box contains 6 black beads and 4 white beads, and another box contains 7 black and 8 white beads.
(i) In how many ways can a pair of beads be chosen, one from each box? (1)
(ii) What is the probability of both being black? (1)
(iii) What is the probability that at least one is white? (1)
12. A. The 2nd term of an arithmetic sequence is 5 and the sum of the first 6 terms is 60.
(i) What is the sum of the 2nd and the 5th terms? (1)
(ii) What is the 5th term? (1)
(iii) What is the sum of the first 15 terms? (2)
OR
B.
(i) Write the sequence of natural numbers that leave remainder 3 or 8 when divided
by 10 (1)
(ii) What is the remainder on dividing any term of this sequence by 5? (1)
(iii) Prove that this is an arithmetic sequence
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