Class X Mathematics

Chapter 1: Real Numbers

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

Print-Ready Math Worksheet

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Worksheet Details:

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

NexPro Education Worksheet

Class X Mathematics: Real Numbers

Name: ______________________Date: __________________Score: ______ / 5

Section I: Key Formulas

Fundamental Theorem of Arithmetic
n = p_1^{a_1} p_2^{a_2}...p_k^{a_k}

Section II: Answer the Questions

1. The length of the minute hand of a clock is 6cm. Find the area swept by it when it moves from 7:05 p.m. to 7:40 p.m.

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2. Prove that √5 is an irrational number.

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3. Three years ago, Rashmi was thrice as old as Nazma. Ten years later, Rashmi will be twice as old as Nazma. How old are Rashmi and Nazma now?

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4. To fill a swimming pool two pipes are used. If the pipe of larger diameter used for 4 hours and the pipe of smaller diameter for 9 hours, only half of the pool can be filled. Find, how long it would take for each pipe to fill the pool separately, if the pipe of smaller diameter takes 10 hours more than the pipe of larger diameter to fill the pool?

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5. In the given figure below, AD/AE=AC/BD and ∠1=∠2. Show that Δ BAE~ ΔCAD .

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