5 Most Probable Questions from Quadratic Equations for Class 10 Maths Board Exam
Board exams are one of the most crucial stages in a student’s academic life, and Class 10 Mathematics plays a key role in shaping the final result. Among all the chapters in the Class 10 syllabus, Quadratic Equations is considered one of the most important because it is scoring, conceptually strong, and appears every year with guaranteed questions in the CBSE board exam.
In this article, we will discuss the 5 most probable questions from the Quadratic Equations chapter that are highly likely to appear in the Class 10 Maths board exam. These questions are based on CBSE’s previous year trends, NCERT patterns, and sample papers released by the board. Students preparing for Class 10 Mathematics should practice these thoroughly to secure high marks.
Why is the Quadratic Equations Chapter Important?
Quadratic Equations form the backbone of algebra in Class 10 Mathematics. The chapter not only holds direct weightage of 6–8 marks in the exam but also helps in strengthening logical reasoning and analytical problem-solving. Questions are usually framed in three formats:
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Solving quadratic equations by different methods (factorization, completing the square, quadratic formula).
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Application-based word problems (age problems, area problems, speed and distance).
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Real-life problem-solving where equations are modeled mathematically.
On average, one long-answer question and one short-answer question from this chapter are expected in the final exam.
5 Most Probable Questions from Quadratic Equations
Question 1: Solving by Factorization
Solve for x:
x² – 7x + 10 = 0
This is a direct question based on factorization. Such questions have been repeatedly asked in CBSE board papers. Students must be thorough with identifying factors and applying the zero-product property.
Question 2: Solving Using Quadratic Formula
Solve for x:
2x² – 3x – 2 = 0
This type of question tests the application of the quadratic formula:
x = [-b ± √(b² – 4ac)] / 2a
These are very common in board exams because they test both conceptual clarity and accuracy in calculation.
Question 3: Word Problem on Age
The sum of the ages of a father and his son is 50 years. Ten years ago, the father’s age was three times the age of his son. Find their present ages.
Application-based questions like this one appear frequently because they check whether students can convert real-life problems into mathematical equations.
Question 4: Word Problem on Area
The product of two consecutive positive integers is 156. Find the integers.
This problem involves framing an equation in terms of x and solving it using quadratic concepts. Word problems on consecutive numbers and area (rectangles, squares) are a favorite in CBSE exams.
Question 5: Application Problem on Speed and Distance
A train travels 120 km at a uniform speed. If the speed had been 10 km/hr more, it would have taken 30 minutes less for the journey. Find the speed of the train.
This is a higher-order thinking problem and very important for board preparation. Speed-time-distance problems are repeatedly asked under this chapter and should be practiced well.
How to Prepare Quadratic Equations for Class 10 Board Exam
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Understand all three methods: Factorization, completing the square, and quadratic formula. At least one question from each method is likely.
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Practice word problems daily: These carry high weightage and can be tricky. Start with NCERT examples and then move to sample papers.
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Revise NCERT solved and exercise problems: Most CBSE exam questions are inspired from NCERT.
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Focus on accuracy and time management: Avoid silly mistakes in calculation while applying the quadratic formula.
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Solve previous year CBSE papers: This helps in identifying repeated patterns.
People Also Ask (PAA)
Q1. How many marks does Quadratic Equations carry in Class 10 Maths Board Exam?
Usually, this chapter carries 6–8 marks, but its importance is high as it forms the basis of higher-level algebra in Class 11 and competitive exams.
Q2. What is the most important method for solving quadratic equations?
The quadratic formula is the most universal method since it works for all types of equations, but students must also practice factorization as it saves time in exams.
Q3. Are word problems from Quadratic Equations compulsory in exams?
Yes, every year at least one word problem comes from this chapter. Common categories are age, area, and speed-distance.
Q4. Which book is best for preparing Quadratic Equations for Class 10?
NCERT is the most important book, followed by RD Sharma and NCERT Exemplar for extra practice.
Q5. How to score full marks in Quadratic Equations?
Practice all NCERT questions, attempt previous year papers, and write step-by-step solutions with proper justification in exams.
Frequently Asked Questions (FAQs)
1. Is it enough to practice only NCERT questions for Quadratic Equations?
Yes, NCERT is sufficient for board exams, but solving sample papers improves confidence and time management.
2. Which is the most scoring part of the chapter?
Direct solving questions are the easiest and most scoring, while application-based questions need practice.
3. How much time should be given to this chapter during revision?
At least 2–3 hours of focused revision is required, including solving a few mock questions.
4. Can these questions also help in Olympiads or NTSE?
Yes, the concepts of quadratic equations are fundamental and appear in NTSE, Olympiads, and other competitive exams.