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Kerala SSLC Maths Chapter 5: Second Degree Equations Important Questions

Kerala SSLC Maths Chapter 5 Important Questions help students practise key concepts of Second Degree Equations. This question bank covers quadratic equations, the completing the square method, and word problems to strengthen problem-solving skills and support effective board exam preparation.
authorImageAmit Kumar Singh3 Nov, 2026
Kerala SSLC Maths Chapter 5: Second Degree Equations Important Questions

 

Kerala SSLC Maths Chapter 5 Important Questions hold an important place in board examination preparation. Question papers regularly feature direct algebraic problems and application-based word problems from this chapter. Questions range from simple two-mark calculations to comprehensive four-mark problems. Scoring well requires solid conceptual clarity and regular practice.

Students will gain structured problem-solving skills from this curated question bank. This resource helps learners identify key patterns and recurring board questions. Reviewing these solutions will build exam confidence and improve calculation speed. 

Important Questions for Kerala SSLC Maths Second Degree Equations

This section includes important questions on Second Degree Equations based on the Kerala State Board syllabus. Students can practise these questions along with Kerala SSLC Maths Model Papers to understand different question types, strengthen their algebra concepts, and improve problem-solving speed for the board examination.

1. When each side of a square was reduced by 2 metres to make a smaller square, its area became 49 square metres. What was the length of a side of the original square?

2. There is a 2 metre wide path around a square ground. The area of the ground and path together is 1225 square metres. What is the area of the ground alone?

3. 9 added to the product of two consecutive multiples of 6 gave 729. What are the numbers?

4. The first few terms of the arithmetic sequence 9, 11, 13, ... were added and then 16 added to the sum, to get 256. How many terms were added?

5. One side of a right triangle is one centimetre shorter than twice the side perpendicular to it and the hypotenuse is one centimetre longer than twice the length of this side. What are the lengths of the sides?

Kerala SSLC Maths Chapter 5 Important Questions PDF Download

Students can download the Kerala SSLC Maths Chapter 5 Important Questions PDF to practise important problems from Second Degree Equations. The PDF includes all 10 questions with step-by-step solutions, helping students revise key concepts, understand problem-solving methods, and prepare for the board examination.

 

Kerala SSLC Maths Chapter 5 Important Questions PDF

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How to Use Important Questions for Kerala Class 10 Maths Chapter 5 for Exam Preparation

Regular practice of important questions helps students understand Second Degree Equations and improve their problem-solving skills. Follow these preparation tips along with the Kerala SSLC Exam Pattern to understand the marking scheme and question format.

  • Master Core Concepts: Review textbook definitions, quadratic equations, and their standard forms. Refer to the Kerala Board Class 10 Syllabus to ensure that you cover all the prescribed topics.

  • Practice Completing the Square: Learn the step-by-step method of converting quadratic expressions into perfect squares. Practise different types of questions to improve accuracy and solve problems confidently.

  • Solve Word Problems: Practise numerical and geometric problems based on Second Degree Equations. Focus on converting given information into mathematical equations before solving them.

  • Review Previous Year Questions: Solve Kerala SSLC previous year questions from this chapter to understand the types of problems asked in board examinations. Also, check the Kerala SSLC Exam Time Table to plan your revision and practice sessions.

  • Check Your Solution Steps: Write each calculation and intermediate step clearly while solving questions. This helps you avoid calculation errors and present answers properly in descriptive questions.

Practising Kerala SSLC Maths Chapter 5 Important Questions helps students strengthen their understanding of Second Degree Equations and improve problem-solving skills. Regular revision of important questions, textbook exercises, and previous year problems can help students prepare confidently for the Kerala SSLC board examination.

 

Kerala SSLC Maths Chapter 5 Important Questions FAQs

What is a second degree equation?

A second degree equation is an algebraic equation where the highest power of the variable is two. It is commonly known as a quadratic equation.

What is the standard form of a second degree equation?

The standard form of a second degree equation is 

ax2+bx+c=0

, where a, b, and c are real numbers and a ≠ 0.

 

How many solutions does a second degree equation have?

A second degree equation can have at most two real solutions or roots, depending on the value of its discriminant.

Why is the method of completing the square useful?

The method of completing the square helps convert quadratic expressions into perfect square forms. This makes finding roots simple and algebraic.

What is the difference between a linear equation and a second degree equation?

A linear equation has the highest power of the variable as one, whereas a second degree equation has the highest power as two. A linear equation generally has one root, while a second degree equation can have up to two roots.

How can we solve a second degree equation by completing the square method?

To solve a second degree equation by completing the square method, arrange the terms and move the constant to the other side. Add the square of half the coefficient of the variable to both sides to form a perfect square, then simplify to find the roots.
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