🔢 SSLC Mathematics — March 2026
⏱️ Time: 2½ hours | Total score: 80
Answer key (all sections)
SECTION A
(1 score each · multiple choice)
- 1. In which sequence 37 is a term? (b) 7, 12, 17, …
- 2. CSA of cone (slant height ⅓) ? (d) 20 cm²
- 3. Point on y‑axis ? (b) (0, 2)
- 4. Median of 44,42,40,47,41,38,45 ? (a) 42
- 5. Algebraic form of 6,10,14,… ? (d) 4n+2
- 6. Diameter of circle (fig.) ? (b) 4 cm
- 7. Statements about tangent & radius (c) Both true, statement 2 is reason
- 8. Slope and point on line (3,1) & (5,2) (c) (ii) and (iii) are true
SECTION B
(short answers, 2–3 scores)
- 9. Probability dot in shaded sector 120° ⅓
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10.(A) Three‑digit number
(i) All digits same: 1/100(ii) Multiple of 5 & <200: 1/45
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10.(B) Slips from two boxes
(i) Product prime → ½(ii) Multiple of 7 → ¼
- 11. 7th term=100, 11th=140 (i) 15th = 180 (ii) 3rd = 60
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12.(A) Sum first 3 =30, first 7 =140
(i) 2nd term = 10 (ii) 4th term = 20 (iii) first three: 5,10,15
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12.(B) 1st+25th =70
(i) 4th+22nd =70 (ii) 13th =35 (iii) sum first 25 =875
- 13. Median from grouped data (i) 23rd student (ii) score of 20th =50 (iii) median =63.5
SECTION C
(3–4 scores, with subquestions)
- 14. Diameter ends (4,3) & (8,5) (i) centre = (6,4) (ii) other end of diameter through (5,2) = (7,6)
- 15. Equilateral triangle ABC (i) C = (6,0) (ii) height = 3√3 (iii) A = (3, 3√3)
- 16.(A) Circle with diameter (3,5) & (5,9) (i) centre = (4,7) (ii) radius = √5 (iii) eqn: (x-4)²+(y-7)²=5
- 16.(B) Slope through (3,5) ... slope = 2
- 17.(A) Rectangle length 30m more, area 351 (i) x²+30x-351=0 (ii) shorter side = 9 m
- 17.(B) Two numbers sum=4, product=2 2+√2 , 2−√2
- 18. Remainder 1 on division by 4 (i) 5,9,13,17… (ii) yes d=4 (iii) algebraic form = 4n+7
- 19.(A) Sum first n terms = n²+6n (i) sum first 7 = 91 (ii) n=15 for sum 315
- 19.(B) 5,11,17,… (i) 6n−1 (ii) sum first 15 = 705 (iii) Sₙ = 3n²+2n
- 20. Polynomial x²−12x+32 (i) (x−4)(x−8) (ii) zero at x=4,8
SECTION E
(longer / construction / application)
- 21. Circle centre O, ∠AOB=50°,∠BOC=80° (i) ∠ADB =65° (ii) ΔABC: 65°,40°,75°
- 22. Area of triangle in fig. 25(√3+1) cm²
- 23.(A) Cylinder (r=8,h=15) → cones r=6, slant=10 number of cones = 10
- 23.(B) Square pyramid painting cost ₹864
- 24.(A) Tower height, wires 70° & 48°, distance 40 m h = (40 tan70° tan48°) / (tan70°+tan48°)
- 24.(B) Triangle side 10cm, adjacent angles 60°,45° area = 25(√3+1) cm²
- 25. Triangle circumradius 3cm, angles 75°,50° (third angle 55°) construction description
- 26. Rectangle area 18cm² & equal square rectangle 6×3, square side 3√2 cm
- 27. Circle radius 2.5cm, incircle triangle 70°,50° (third angle 60°) draw incircle
⚡ All answers are given per the official answer key.
For step-by-step explanations or figures, refer to the detailed solutions.
For step-by-step explanations or figures, refer to the detailed solutions.
