The SSC board exam splits Class 10 Maths into two separate 40-mark papers — Algebra and Geometry — each two hours long, sat on different days. That structure rewards students who can move fluently between both halves of the syllabus rather than favouring one. Maths Daily Helper gives you unlimited fresh questions across every chapter in both papers, each with a full worked solution, so neither paper goes into the exam under-practised.
Algebra paper — chapters covered
- Linear Equations in Two Variables
- Quadratic Equations
- Arithmetic Progression
- Financial Planning
- Probability
- Statistics
Geometry paper — chapters covered
- Similarity
- Pythagoras Theorem
- Circle
- Geometric Constructions
- Coordinate Geometry
- Trigonometry
- Mensuration
SSC Maths exam pattern
Each paper is 40 marks over 2 hours, mixing multiple-choice and one-mark questions with short-answer and longer "solve any" questions, plus activity-based questions embedded within regular ones. Both papers are graded on method as much as the final answer, so writing out full working — not just the answer — is what protects your marks, especially in Geometry where a construction or proof step skipped costs marks even with a correct final figure.
Try a few SSC-style problems
Algebra — Linear Equations
Solve for x and y: x + y = 5 and 2x − y = 4.
Step-by-step solution
1. Add the two equations to eliminate y: (x + y) + (2x − y) = 5 + 4.
2. 3x = 9, so x = 3.
3. Substitute into x + y = 5: 3 + y = 5, so y = 2.
Answer: x = 3, y = 2.
Algebra — Quadratic Equations
Find the roots of x² − 7x + 12 = 0.
Step-by-step solution
1. Look for two numbers that multiply to 12 and add to −7: those are −3 and −4.
2. So x² − 7x + 12 = (x − 3)(x − 4) = 0.
3. Set each factor to zero: x − 3 = 0 or x − 4 = 0.
Answer: x = 3 or x = 4.
Algebra — Arithmetic Progression
Find the 10th term of the AP: 2, 5, 8, 11, …
Step-by-step solution
1. First term a = 2, common difference d = 5 − 2 = 3.
2. The nth term is aₙ = a + (n − 1)d.
3. a₁₀ = 2 + (10 − 1)·3 = 2 + 27 = 29.
Answer: 29.
Algebra — Probability
A die is thrown once. Find the probability of getting a number greater than 4.
Step-by-step solution
1. Total outcomes = 6 (numbers 1 to 6).
2. Favourable outcomes (greater than 4): 5 and 6, so 2 outcomes.
3. Probability = 2/6 = 1/3.
Answer: 1/3.
Geometry — Similarity
In triangle ABC, DE is parallel to BC, with D on AB and E on AC. If AD = 4, DB = 6, and AE = 5, find EC.
Step-by-step solution
1. By the Basic Proportionality Theorem, AD/DB = AE/EC.
2. Substitute: 4/6 = 5/EC.
3. Cross-multiply: EC = (5 × 6)/4 = 7.5.
Answer: EC = 7.5 units.
Geometry — Pythagoras Theorem
A right-angled triangle has legs of 9 cm and 12 cm. Find the hypotenuse.
Step-by-step solution
1. By the Pythagoras theorem, hypotenuse² = 9² + 12².
2. = 81 + 144 = 225.
3. Hypotenuse = √225 = 15.
Answer: 15 cm.
Geometry — Coordinate Geometry
Find the distance between the points (1, 1) and (4, 5).
Step-by-step solution
1. Distance formula: √[(x₂ − x₁)² + (y₂ − y₁)²].
2. = √[(4 − 1)² + (5 − 1)²] = √[3² + 4²] = √[9 + 16] = √25.
Answer: 5 units.
Geometry — Mensuration
Find the volume of a cylinder with radius 7 cm and height 10 cm. (Use π = 22/7.)
Step-by-step solution
1. Volume of a cylinder = πr²h.
2. = (22/7) × 7² × 10 = (22/7) × 49 × 10.
3. = 22 × 7 × 10 = 1540.
Answer: 1540 cm³.
Common mistakes students make in SSC Maths
- Mixing up the two papers' weightage. Geometry's constructions and proofs are graded step-by-step — a correct final diagram with missing construction steps still loses marks.
- Skipping units in Mensuration answers. A numerically correct volume or area with the wrong or missing unit costs marks.
- Not stating the theorem before applying it. Writing "By the Basic Proportionality Theorem" or "By Pythagoras theorem" before substituting protects your marks even if the arithmetic slips.
- Treating Probability and Statistics as an afterthought. They're consistent, formula-driven marks — practising them is one of the fastest ways to raise a score.
Practise every chapter, unlimited
Choose Algebra or Geometry and any chapter. Get a fresh question each time, with hints and full solutions.
Open Maths Daily Helper →A simple daily routine for the SSC exam
Alternate papers day to day — Algebra one day, Geometry the next — so neither goes cold in the run-up to the exam. Use hints before solutions so you build the habit of finding the next step yourself, which is exactly what both papers test under time pressure. Closer to the exam, switch to generating full sample papers for each and time yourself at the real 2-hour limit.
Frequently asked questions
Does this follow the Maharashtra State Board (SSC) syllabus?
Yes. Questions follow the MSBSHSE Class 10 syllabus across both papers — Algebra (linear equations, quadratic equations, arithmetic progression, financial planning, probability, statistics) and Geometry (similarity, Pythagoras theorem, circles, constructions, coordinate geometry, trigonometry, mensuration).
Are both Algebra and Geometry papers covered?
Yes. Choose either paper and any chapter to get fresh questions with full worked solutions matching that paper's style.
Is it free?
Yes — you can start for free, with no card. The free plan gives you 50 practice questions and 3 full exam papers every month, with every feature unlocked. Paid plans start at ₹420 a month if you want a bigger allowance.
Does it generate full SSC-style papers, not just individual questions?
Yes. Alongside single-question practice, you can generate a full-length paper matching the real 40-mark, 2-hour SSC structure for either Algebra or Geometry, attempt it under timed conditions, and get it graded with complete solutions.
Do I need to install anything?
No. Maths Daily Helper runs entirely in your browser. Sign up for a free account and start practising immediately, on desktop or mobile.
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