Read and download the CBSE Class 9 Mathematics Number System Worksheet Set 04 in PDF format. We have provided exhaustive and printable Class 9 Mathematics worksheets for Chapter 1 Number Systems, designed by expert teachers. These resources align with the 2026-27 syllabus and examination patterns issued by NCERT, CBSE, and KVS, helping students master all important chapter topics.
Chapter 1 Number Systems Worksheet Solutions for Class 9 Mathematics
Use this Mathematics practice paper to evaluate your Chapter 1 Number Systems skills. Built for Class 9 students, it offers essential questions and clear answers so you can practice daily and perform better in school tests and final examinations.
Class 9 Mathematics Chapter 1 Number Systems Worksheet with Answers
CBSE Class 9 Mathematics Worksheet - Number System (3)
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1. Visualize 3.756 on the number line, using successive magnification
2. Represent √3.5 on the number line
3. If x = 3+2√2, find the value of x2 + 1/x2 (34)
4. If x = 2 + √5, Prove that x2 + 1 = 18
X2
5. Express 1. 3 2 + 0.35 as a fraction in simplest form. (166/99)
6. Rationalise the denominator 1
√6 + √5 - √11
7. If a and b are rational numbers, find a and b
a) √2 + √3 = a + b √6 (a=2, b=5/6)
3 √2 - 2√3
b) √5 – 2 - √5 + 2 = a + b √5 (a = 0, b = - 8)
√5 + 2 √5 – 2
8. Simplify: a) 1 + 1 + 1
1 + √2 √2 + √3 √3 + √4 (1)
9. If a = √3+√2 and b = √3 – √2, find the value of a2 + b2 (98)
√3 – √2 √3 + √2
2
10. If a = 9 - 4√5, find the value of a – 1/a (320)
3
11. If x = 1 - √2, find the value of x – 1/x (8)
12. If x = 3 + 2 √2, find the value of √x - 1 (8)
√x
13. If x = 0.125, find the value of (1/x) 1/3
14. If x = √3 + √2 then find the value of x2 (49 + 20√6)
√3 - √2
15. If x = 1 , find the value of x3 – 2x2 – 7x + 5 (3)
2 - √3
16. Find four rational numbers between 3/5 and 4/5
17. Find two irrational numbers lying between √2 and √3
18. Find two rational and irrational numbers between 0.3101 and 0.3222
19. Simplify the following: a) 576 - 1/2 b) 343 -1/3 c) (-1/27) - 2/3 d) (0.008)4/3 e) (729)- 1/6
625 1000
20. Simplify and express the result in the simplest form: (25)3/2 x (243)2/5 (1125/512)
(16)5/4 x (8)4/3
21. Find the value x, if 5x -3 x 3 2x – 8 = 225 (x = 5)
22. Solve: a) 49 x 7x = (343)1/3 (x = -1)
b) 2x = (128)1/7 x (√2)4 (3)
c) If 3x = 9 , find x (1/2)
27x
d) (1/7)4 – 2x = √7 (9/4)
23. Evaluate: a) 125 -1/3 x 271/3 (62 +82 )1/2 (6)
b) (172 – 82)1/2 (15)
c) 641/3 (641/3 – 642/3)
24. Simplify: a) √45 + √80 - 3√20 (√5)
b) 7√6 - √252 - √294 + 6√7 ( 0 )
c) 4√28 + 3√7
25. Give an example of two irrational numbers whose: (A) Sum is rational (B) product is rational (C) quotient is rational
PREPARED BY: MAHABOOB PASHA IX –XBOYS
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Free study material for Mathematics
Mathematics Class 9 Curriculum Worksheets: Chapter 1 Number Systems
CBSE Mathematics Class 9 Chapter 1 Number Systems Worksheet
Tackle your school exams with confidence by working through the practice questions for Chapter 1 Number Systems outlined above. Developed by professional instructors to match modern 2026 framework standards set by CBSE for Class 9, these assignments bridge classroom learning and testing. Consistent daily practice ensures a solid conceptual foundation in Mathematics for all Class 9 learners.
Aligning Practice with NCERT Guidelines
Our expert teachers have referred to the latest NCERT book for Class 9 Mathematics to create these exercises. After solving the questions you should compare your answers with our detailed solutions as they have been designed by expert teachers. You will understand the correct way to write answers for the CBSE exams. You can also see above MCQ questions for Mathematics to cover every important topic in the chapter.
Class 9 Exam Preparation Strategy
Routine completion of these Class 9 Mathematics exercises ensures complete comfort with standard exam structures. Should any section of Chapter 1 Number Systems prove complex, our specialized NCERT solutions for Class 9 Mathematics provide straightforward explanations. Access our regularly updated collection of free printable assignments online to secure top grades in your evaluations.
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For Chapter 1 Number Systems, regular practice with our worksheets will improve question-handling speed and help students understand all technical terms and diagrams.