Class 9 Math: Quadrilaterals Important Exam Questions

NexPro Tools Mathematics TeamJune 5, 20266 min read

Preparing for school exams or final CBSE boards requires practicing questions patterned after official grading schemes. We have compiled a list of crucial questions for Class 9 Quadrilaterals to help you test your mastery.

Exam-Pattern Questions and Answers

Question 1 (HARD)

A dome of a building is in the form of a hemisphere. From inside, it was white -washed at the cost of Rs 498.96. If the cost of white-washing is Rs 2.00 per square metre, find the (i) inside surface area of the dome, (ii) volume of the air inside the dome.

This is a descriptive problem. Work out all steps on paper before checking the solution.

Solution Explanation & Steps: Let, r m be the inner radius of the hemispherical dome. Then,

Question 2 (MEDIUM)

How many square metres of canvas is required for a conical tent whose height is 3.5 m and the radius of whose base is 12 m?

This is a descriptive problem. Work out all steps on paper before checking the solution.

Solution Explanation & Steps: Given radius (r) of the base of the cone = 12 m and height (h) of the cone = 3.5 m Slant height (l) of the cone = 2 2 2 2 (12) (3.5)r h+ = + 144 12.25 156.25 12.5 m= + = = g Curved surface area of conical tent = rl = 22 7 Ɨ 12 Ɨ 12.5 = 471.42 m2 OR The diameters of two cones are equal. If their slant heights are in the ratio 7:4, find the ratio of their curved surface area. Ans: Let diameter of both cones be d. Let radius = 2 d = r (say) Let slant height of first cone be 7x and slant height of second cone be 4x. Let C1 and C2 be curved surface area of first and second cone respectively. C1 : C2 = 7 : 4 Ratio of their curved surface area = 7 : 4 SECTION - C Questions 26 to 31 carry 3 marks each.

Question 3 (EASY)

Which of the following foundational concepts is critical to understanding "Properties of a parallelogram proofs"?
  • Option 1: Systematic application of coordinate rules
  • Option 2: Advanced integral equations
  • Option 3: Infinite boundary coordinates
  • Option 4: None of the above

Solution Explanation & Steps: Studying Properties of a parallelogram proofs requires mastering basic coordinate relationships first.

Grading Step-Marking Guidelines

Remember that teachers award partial marks for writing down formulas, stating the given variables, and drawing diagrams. Never leave a question blank on an exam. Write down the relevant formulas and initial substitution steps to secure partial credits.

šŸ“š Class 9 Math Resource Hub for Quadrilaterals: • 🧮 Interactive Solver: Solve Quadrilaterals Problems - Verify steps in real-time. • šŸ“ Timed Practice Quiz: Take Quadrilaterals Online Quiz - Test your speed and concepts. • šŸ“„ Printable Worksheet: Download Quadrilaterals PDF Worksheet - Interactive problems with answers. • šŸ“ Formula Sheet: View Quadrilaterals Key Equations - Complete revision references. • šŸ”„ Next Topic Guide: Circles Study Notes • šŸŽ“ Syllabus Overview: Class 9 Mathematics Portal - Access all chapter guides.