Class 10 Math: Arithmetic Progressions 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 Arithmetic Progressions to help you test your mastery.

Exam-Pattern Questions and Answers

Question 1 (MEDIUM)

Two dice are thrown at the same time. What is the probability that the sum of the two numbers appearing on the top of the dice is (i) 7? (ii) 14? (iii) equal to 12?

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

Solution Explanation & Steps: (i) P(sum of the numbers is 7) = 6/36 = 1/6 (ii) P(sum of the numbers is 14) = 0/36 = 0 (iii) P(sum of the numbers is 12) = 1/36

Question 2 (MEDIUM)

Two dice are thrown at the same t ime. What is the probability that the sum of the two numbers appearing on the top of the dice is (i) 8? (ii) 7? (iii) less than or equal to 12?

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

Solution Explanation & Steps: (i) Number of outcomes with sum of the numbers 8 = 5 ∴ Required Probability = 5/36 (ii) Number of outcomes with sum of the numbers 7 = 6 ∴ Required Probability = 6/36 = 1/6 (iii) Number of outcomes with sum of the numbers less than or equal to 12 = 36 ∴ Required Probability = 36/36 = 1

Question 3 (EASY)

For the following distribution: Class 0-5 5-10 10-15 15-20 20-25 Frequency 10 15 12 20 9 the sum of lower limits of the median class and modal class is

Option 1: 15
Option 2: 25
Option 3: 30
Option 4: 35

Solution Explanation & Steps: (b) 25

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 Arithmetic Progressions: • 🧮 Interactive Solver: Solve Arithmetic Progressions Problems - Verify steps in real-time. • 📝 Timed Practice Quiz: Take Arithmetic Progressions Online Quiz - Test your speed and concepts. • 📄 Printable Worksheet: Download Arithmetic Progressions PDF Worksheet - Interactive problems with answers. • 📐 Formula Sheet: View Arithmetic Progressions Key Equations - Complete revision references. • 🔄 Next Topic Guide: Triangles Study Notes • 🎓 Syllabus Overview: Class 10 Mathematics Portal - Access all chapter guides.

Back to Blog Portal Go to Homepage