ClearStepsCLEARSTEPS AI
CBSE · Class 10 · Phase 2 Exams are over · Now Free

4 AI-Predicted Sets. Now completely free.

Every high-probability question. Every step-by-step answer. Access instantly — no payment, no signup on this page.

Phase 2 Exams are over · May 15, 2026

CBSE Class 10

Access your papers free →

All 4 predicted sets — instant access, no payment needed

R
S
P
A
M

2,500+ students used ClearSteps for their boards

Sample — see what you get

These questions have appeared in CBSE board exams year after year. Your child studies the most important ones first — finish all 4 sets and they have covered everything needed to score their best.

📐Mathematics
High Probability

Q. Prove that √2 is irrational.

Asked in past CBSE board exams

2013201520172018201920202021202220232024

Write this answer → Examiner must give full marks

Every solution follows the CBSE official marking scheme — the same guide your examiner uses to check your paper.

Step-by-step answer

Step 1

Assume √2 is rational. So √2 = p/q where p and q are co-prime integers (HCF = 1) and q ≠ 0.

Step 2

Squaring both sides: 2 = p²/q² → p² = 2q². Since 2 divides p², 2 must also divide p. So let p = 2m.

Step 3

Substitute p = 2m: (2m)² = 2q² → 4m² = 2q² → q² = 2m². Since 2 divides q², 2 must also divide q.

Conclusion

2 divides both p and q — this contradicts HCF(p, q) = 1. So our assumption was wrong. Therefore √2 is irrational. ✓

🔬Science
High Probability

Q. State Ohm's Law. A wire has a resistance of 12 Ω. Find the current through it when a potential difference of 6 V is applied across it.

Asked in past CBSE board exams

2014201620172018201920202021202220232024

Write this answer → Examiner must give full marks

Every solution follows the CBSE official marking scheme — the same guide your examiner uses to check your paper.

Step-by-step answer

Ohm's Law

The current through a conductor is directly proportional to the potential difference across its ends, at constant temperature and conditions: V = IR.

Given

Resistance R = 12 Ω, Potential difference V = 6 V.

Solution

I = V / R = 6 / 12 = 0.5 A

Answer

Current through the wire = 0.5 A ✓

How it works

1

We studied 10 years of CBSE papers

Every question from every past exam, all analysed in one place.

2

We found what repeats every year

Each concept is ranked — high, medium or low probability.

3

Your child studies only what matters

All important questions with solutions and AI predicted Sets — available instantly, free.

Subjects covered

📐

Mathematics

Standard & Basic both

🔬

Science

Physics · Chemistry · Biology

📖

English

Language & Literature

🌍

Social Science

History · Geography · Civics

Chapters that come every year

ChapterAppeared in
Real Numbers
9/10 yrs
Quadratic Equations
9/10 yrs
Statistics
8/10 yrs
Triangles
8/10 yrs
Arithmetic Progressions
8/10 yrs

Based on 10 years of CBSE Class 10 board papers

What parents are saying

My son failed Maths by 4 marks in boards. I was more worried about his confidence than the marks. After ClearSteps, he started focusing only on high probability chapters. The step-by-step solutions helped him understand exactly where he was going wrong. Worth every rupee.

R

Ramesh K.

Hyderabad · Used Mathematics

Honestly I was not sure if this would work. But with only 3 weeks left I had no choice. The way it shows which questions come every year — my daughter knew what to study and what to skip. She felt much more confident before the exam.

S

Sunita Sharma

Delhi · Used Maths and SST

I am a working mother and cannot sit with my child every day. ClearSteps made it easy — everything is organised, solutions are very clear, and the expected papers helped my son practise the right type of questions.

P

Priya Nair

Chennai · Used SST

Price was a concern for us at first. But compared to tuition fees this is very less. My daughter can study at any time, even late at night. The predicted papers gave her a clear plan. She is much more calm now.

A

Anita Devi

Patna · Used Maths and SST

Bought this 2 weeks before the exam. Was nervous it was too late. But the concept-wise questions gave my daughter a clear direction. She stopped panicking and started studying properly. I am glad I found this.

M

Meena Kumari

Lucknow · Used SST

My son has always been weak in Maths. The way ClearSteps ranks questions — high, medium, low — he knew exactly where to put his energy first. Finally he has a proper study plan instead of just reading the whole book again.

R

Rajesh Patel

Ahmedabad · Used Mathematics

Common questions

We studied 10 years of CBSE Class 10 question papers and found which concepts repeat every year. We rank them as high, medium or low probability — so you know exactly what to focus on.

No. Same syllabus, same CBSE pattern. If you prepared for boards, you already know this exam. The only difference is this is your second chance to improve your score.

Instant access to all important questions with step-by-step answers written exactly as per the CBSE official marking scheme. Write the answer exactly as shown — get full marks, no guessing. Questions are ranked by how likely they are to come. AI predicted Sets also included.

Yes, completely free. The Phase 2 exams are over and we want every student to benefit from the material we built. No payment, no catch — just access.

Instant access
No payment needed
All 4 sets included
CBSE · Class 10 · Exams Over · Now Free

4 AI-Predicted Sets. Now completely free.

Every high-probability question. Every step-by-step answer. No payment, no signup on this page.

Phase 2 Exams are over · May 15, 2026

CBSE Class 10

Access your papers free →

All 4 predicted sets — instant access, no payment needed

R
S
P
A
M

2,500+ students used ClearSteps for their boards

Sample — see what you get

These questions have appeared in CBSE board exams year after year. Your child studies the most important ones first — finish all 4 sets and they have covered everything needed to score their best.

📐Mathematics
High Probability

Q. Prove that √2 is irrational.

Asked in past CBSE board exams

2013201520172018201920202021202220232024

Write this answer → Examiner must give full marks

Every solution follows the CBSE official marking scheme — the same guide your examiner uses to check your paper.

Step-by-step answer

Step 1

Assume √2 is rational. So √2 = p/q where p and q are co-prime integers (HCF = 1) and q ≠ 0.

Step 2

Squaring both sides: 2 = p²/q² → p² = 2q². Since 2 divides p², 2 must also divide p. So let p = 2m.

Step 3

Substitute p = 2m: (2m)² = 2q² → 4m² = 2q² → q² = 2m². Since 2 divides q², 2 must also divide q.

Conclusion

2 divides both p and q — this contradicts HCF(p, q) = 1. So our assumption was wrong. Therefore √2 is irrational. ✓

🔬Science
High Probability

Q. State Ohm's Law. A wire has a resistance of 12 Ω. Find the current through it when a potential difference of 6 V is applied across it.

Asked in past CBSE board exams

2014201620172018201920202021202220232024

Write this answer → Examiner must give full marks

Every solution follows the CBSE official marking scheme — the same guide your examiner uses to check your paper.

Step-by-step answer

Ohm's Law

The current through a conductor is directly proportional to the potential difference across its ends, at constant temperature and conditions: V = IR.

Given

Resistance R = 12 Ω, Potential difference V = 6 V.

Solution

I = V / R = 6 / 12 = 0.5 A

Answer

Current through the wire = 0.5 A ✓

How it works

1

We studied 10 years of CBSE papers

Every question from every past exam, all analysed in one place.

2

We found what repeats every year

Each concept is ranked — high, medium or low probability.

3

Your child studies only what matters

All important questions with solutions and AI predicted Sets — available instantly, free.

Subjects covered

📐

Mathematics

Standard & Basic both

🔬

Science

Physics · Chemistry · Biology

📖

English

Language & Literature

🌍

Social Science

History · Geography · Civics

Chapters that come every year

ChapterAppeared in
Real Numbers
9/10 yrs
Quadratic Equations
9/10 yrs
Statistics
8/10 yrs
Triangles
8/10 yrs
Arithmetic Progressions
8/10 yrs

Based on 10 years of CBSE Class 10 board papers

What parents are saying

My son failed Maths by 4 marks in boards. I was more worried about his confidence than the marks. After ClearSteps, he started focusing only on high probability chapters. The step-by-step solutions helped him understand exactly where he was going wrong. Worth every rupee.

R

Ramesh K.

Hyderabad · Used Mathematics

Honestly I was not sure if this would work. But with only 3 weeks left I had no choice. The way it shows which questions come every year — my daughter knew what to study and what to skip. She felt much more confident before the exam.

S

Sunita Sharma

Delhi · Used Maths and SST

I am a working mother and cannot sit with my child every day. ClearSteps made it easy — everything is organised, solutions are very clear, and the expected papers helped my son practise the right type of questions.

P

Priya Nair

Chennai · Used SST

Price was a concern for us at first. But compared to tuition fees this is very less. My daughter can study at any time, even late at night. The predicted papers gave her a clear plan. She is much more calm now.

A

Anita Devi

Patna · Used Maths and SST

Bought this 2 weeks before the exam. Was nervous it was too late. But the concept-wise questions gave my daughter a clear direction. She stopped panicking and started studying properly. I am glad I found this.

M

Meena Kumari

Lucknow · Used SST

My son has always been weak in Maths. The way ClearSteps ranks questions — high, medium, low — he knew exactly where to put his energy first. Finally he has a proper study plan instead of just reading the whole book again.

R

Rajesh Patel

Ahmedabad · Used Mathematics

Exams Over · Free Access
SST
+ English Free
Free
No payment
  • Answers written exactly as per CBSE marking scheme — write this, get full marks
  • Questions ranked by exam frequency (AI‑analysed)
  • Study by Chapter or by Topic — History, Geography, Civics & Economics
  • AI‑revealed high, medium and low probability questions
  • Pattern recognition across past CBSE papers
  • 4 AI predicted Sets — instant access, no payment needed

Common questions

We studied 10 years of CBSE Class 10 question papers and found which concepts repeat every year. We rank them as high, medium or low probability — so you know exactly what to focus on.

No. Same syllabus, same CBSE pattern. If you prepared for boards, you already know this exam. The only difference is this is your second chance to improve your score.

Instant access to all important questions with step-by-step answers written exactly as per the CBSE official marking scheme. Write the answer exactly as shown — get full marks, no guessing. Questions are ranked by how likely they are to come. AI predicted Sets also included.

Yes, completely free. The Phase 2 exams are over and we want every student to benefit from the material we built. No payment, no catch — just access.

Access Free →
Instant access
No payment needed
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