Class X Mathematics

Chapter 5: Arithmetic Progressions

Standard NCERT & CBSE aligned study curriculum. Master concepts, track accuracy, revise weak areas, and challenge yourself with 9 customized practice modes.

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Worksheet Details:

  • Title: Class X Math: Arithmetic Progressions Printable Sheet
  • Format: Print Optimized CSS stylesheet
  • Sections: Formulas checklist, 5 assessment questions, worked keys

NexPro Education Worksheet

Class X Mathematics: Arithmetic Progressions

Name: ______________________Date: __________________Score: ______ / 5

Section I: Key Formulas

n-th term of AP
a_n = a + (n-1)d
Sum of n terms AP
S_n = \frac{n}{2}[2a + (n-1)d]

Section II: Answer the Questions

1. 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?

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2. 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?

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3. If the median of the following distribution is 58 and sum of all the frequencies is 140. What is the value of x and y? Class 15 - 25 25 - 35 35 - 45 45 - 55 55 - 65 65 - 75 75 - 85 85 - 95 Frequency 8 10 x 25 40 y 15 7

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4. 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) 5? (ii) 10? (iii) at least 9?

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5. A father’s age is three times the sum of the ages of his two children. After 5 years his age will be two times the sum of their ages. Find the present age of the father.

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