अध्याय 1 · Class 9 UP Board · Free Worksheet PDF

Number Systems Sums for Class 9 — Free UP Board Worksheet PDF with Answers

Download a free printable number systems worksheet for Class 9 UP Board with 30 practice questions covering number systems concepts, practice problems, and word problems with step-by-step solutions. Includes complete answer key. UP Board-aligned for the 2025-26 syllabus.

Last updated: 5 May 2026

Download Full PDF Worksheet

30 questions (Easy + Medium + Hard) with answer key. Fresh set generated daily.

Download Full PDF

Sample Number Systems Sums for Class 9 — Practice Questions

Here are 8 sample number systems sums from this Class 9 UP Board worksheet. Download the full PDF for all 30 questions with answers.

Q1.निम्न में से कौन सा कथन असत्य है?
A.प्रत्येक प्राकृत संख्या एक पूर्ण संख्या होती है।
B.प्रत्येक पूर्णांक एक परिमेय संख्या होती है।
C.प्रत्येक परिमेय संख्या एक पूर्णांक होती है।
D.प्रत्येक पूर्ण संख्या एक प्राकृत संख्या नहीं होती है।

Difficulty: Easy

Q2.निम्न में से कौन सी एक अपरिमेय संख्या है?
A.9\sqrt{9}
B.0.333...0.333...
C.7\sqrt{7}
D.2/32/3

Difficulty: Easy

Q3.1 और 2 के बीच कितनी परिमेय संख्याएँ हैं?
A.एक
B.दो
C.दस
D.असंख्य

Difficulty: Easy

Q4.0.60.6 को p/qp/q के रूप में व्यक्त करें, जहाँ pp और qq पूर्णांक हैं तथा q≠0q \neq 0।
A.6/106/10
B.3/53/5
C.6/96/9
D.2/32/3

Difficulty: Easy

Q5.एक परिमेय संख्या और एक अपरिमेय संख्या का गुणनफल क्या होता है (यदि परिमेय संख्या शून्य न हो)?
A.हमेशा एक परिमेय संख्या
B.हमेशा एक अपरिमेय संख्या
C.कभी परिमेय, कभी अपरिमेय
D.इनमें से कोई नहीं

Difficulty: Easy

Q6.अपरिमेय संख्या का दशमलव प्रसार कैसा होता है?
A.सांत
B.अनवसानी आवर्ती
C.अनवसानी अनावर्ती
D.या तो सांत या अनवसानी आवर्ती

Difficulty: Easy

Q7.प्रत्येक वास्तविक संख्या क्या होती है?
A.केवल एक परिमेय संख्या
B.केवल एक अपरिमेय संख्या
C.या तो एक परिमेय संख्या या एक अपरिमेय संख्या
D.एक प्राकृत संख्या

Difficulty: Easy

Q8.(5−2)(5+2)(\sqrt{5} - \sqrt{2})(\sqrt{5} + \sqrt{2}) का मान क्या है?
A.3\sqrt{3}
B.33
C.77
D.252\sqrt{5}

Difficulty: Easy

Answer Key — Sample Questions+
Q1:प्रत्येक परिमेय संख्या एक पूर्णांक होती है।
Q2:$\sqrt{7}$
Q3:असंख्य
Q4:$3/5$
Q5:हमेशा एक अपरिमेय संख्या
Q6:अनवसानी अनावर्ती
Q7:या तो एक परिमेय संख्या या एक अपरिमेय संख्या
Q8:$3$

Download the full PDF for all 30 answers with step-by-step solutions.

About This Worksheet

TopicNumber Systems
BoardUP Board
Class9
Total Questions30 (10 Easy + 10 Medium + 10 Hard)
Answer KeyIncluded
PriceFree

Related Worksheets — Class 9 UP Board

Polynomials

Class 9 UP Board Worksheet

Coordinate Geometry

Class 9 UP Board Worksheet

Linear Equations in Two Variables

Class 9 UP Board Worksheet

Introduction to Euclid's Geometry

Class 9 UP Board Worksheet

Lines & Angles

Class 9 UP Board Worksheet

Triangles

Class 9 UP Board Worksheet

Frequently Asked Questions

Where can I download free number systems sums for Class 9?+
You can download a free Number Systems PDF worksheet for Class 9 UP Board right here on SparkEd. The worksheet includes 30 practice questions (number systems concepts, practice problems, and word problems with step-by-step solutions) at easy, medium, and hard levels with a complete answer key.
How many number systems questions are in this Class 9 worksheet?+
This SparkEd worksheet for Number Systems Class 9 contains 30 questions — 10 easy, 10 medium, and 10 hard. The questions cover number systems concepts, practice problems, and word problems with step-by-step solutions. A fresh set is generated daily so students never repeat the same sheet.
Does the Number Systems worksheet for Class 9 include answers?+
Yes! Every SparkEd worksheet comes with a complete answer key. Students can self-check their work after completing the sheet. The PDF is free to download and print.
Is this number systems worksheet aligned to UP Board syllabus?+
Yes. This worksheet is specifically designed for Class 9 UP Board students and aligned to the 2025-26 UP Board syllabus. All questions follow the UP Board exam pattern and difficulty level.
Can I print this Number Systems worksheet?+
Absolutely! The worksheet downloads as an A4-size PDF that is ready to print. It includes the questions, space for working, and a separate answer key — perfect for classroom use or home practice.
How is this worksheet different from NCERT textbook exercises?+
SparkEd worksheets go beyond NCERT exercises by providing 30 questions at 3 progressive difficulty levels. Level 1 (Easy) builds confidence, Level 2 (Medium) tests application, and Level 3 (Hard) prepares for exams. Each worksheet includes word problems and conceptual questions, not just computation.
Does this worksheet include number systems word problems?+
Yes! The worksheet includes both computation-based questions and real-world word problems. Word problems are especially important for UP Board exams, and our worksheet covers a variety of scenarios to build problem-solving skills.

Practice Number Systems Sums Online — Class 9 UP Board

Want more than a worksheet? Solve number systems problems interactively with instant feedback, step-by-step solutions, and an AI maths coach. No signup required.

Start Practising Online

SparkEd Maths provides free printable maths worksheets for Class 1-10 across CBSE, ICSE, IB, Olympiad, UP Board, Maharashtra SSC, and TN Board. Every worksheet includes an answer key and is aligned to the 2025-26 syllabus.