Class 10 Math: Real Numbers 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 10 Real Numbers to help you test your mastery.

Exam-Pattern Questions and Answers

Question 1 (EASY)

If two positive integers p and q can be expressed as p = 18 a2b4 and q = 20 a3b2, where a and b are prime numbers, then LCM (p, q) is :
  • Option 1: 2 a2b2
  • Option 2: 180a2b2
  • Option 3: 12 a2b2
  • Option 4: 180 a3b4

Solution Explanation & Steps: (d) 180 a3b4 Given, p = 18 a2b4 and q = 20 a3b2 LCM(p, q) = LCM(18 a2b4, 20 a3b2) = 180a3b4

Question 2 (EASY)

If ∆PQR ~ ∆ABC; PQ = 6 cm, AB = 8 cm and the perimeter of ∆ABC is 36 cm, then the perimeter of ∆PQR is
  • Option 1: 20.25 cm
  • Option 2: 27 cm
  • Option 3: 48 cm
  • Option 4: 64 cm

Solution Explanation & Steps: (b) 27 cm ∆PQR ~ ∆ABC PQ = 6 cm, AB = 8 cm Perimeter of ∆ABC = 36 cm We know that, Ratio of perimeter of two similar triangles is same as the ratio of their corresponding sides. 8 36 8 36 6 276 6 8 Perimeter of ABC x cmPerimeter of PQR x  ×\ = ⇒ = ⇒ = = 

Question 3 (EASY)

ΔABC~ΔPQR. If AM and PN are altitudes of ΔABC and ΔPQR respectively and AB2 : PQ2 = 4 : 9, then AM : PN =
  • Option 1: 3 : 2
  • Option 2: 16 : 81
  • Option 3: 4 : 9
  • Option 4: 2 : 3

Solution Explanation & Steps: (d) 2 : 3

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.

📚 Class 10 Math Resource Hub for Real Numbers: • 🧮 Interactive Solver: Solve Real Numbers Problems - Verify steps in real-time. • 📝 Timed Practice Quiz: Take Real Numbers Online Quiz - Test your speed and concepts. • 📄 Printable Worksheet: Download Real Numbers PDF Worksheet - Interactive problems with answers. • 📐 Formula Sheet: View Real Numbers Key Equations - Complete revision references. • 🔄 Next Topic Guide: Polynomials Study Notes • 🎓 Syllabus Overview: Class 10 Mathematics Portal - Access all chapter guides.
Back to Blog PortalGo to Homepage