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Real Numbers Sums for Class 10 — Free UP Board Worksheet PDF with Answers

Download a free printable real numbers worksheet for Class 10 UP Board with 30 practice questions covering real numbers 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

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

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Sample Real Numbers Sums for Class 10 — Practice Questions

Here are 8 sample real numbers sums from this Class 10 UP Board worksheet. Download the full PDF for all 30 questions with answers.

Q1.यूक्लिड विभाजन प्रमेयिका के अनुसार, दो धनात्मक पूर्णांक aa और bb के लिए, अद्वितीय पूर्णांक qq और rr इस प्रकार विद्यमान हैं कि a=bq+ra = bq + r, जहाँ rr के लिए कौन सी शर्त सत्य है?
A.0<r<b0 < r < b
B.0≤r≤b0 \le r \le b
C.0≤r<b0 \le r < b
D.0<r≤b0 < r \le b

Difficulty: Easy

Q2.यदि दो धनात्मक पूर्णांकों aa और bb का HCF 12 और LCM 360 है, तो a×ba \times b का मान क्या होगा?
A.30
B.372
C.4320
D.432

Difficulty: Easy

Q3.संख्या 140 के अभाज्य गुणनखंडों का गुणनफल क्या है?
A.22×5×72^2 \times 5 \times 7
B.2×52×72 \times 5^2 \times 7
C.22×52×72^2 \times 5^2 \times 7
D.2×5×72 \times 5 \times 7

Difficulty: Easy

Q4.निम्नलिखित में से कौन सी संख्या अपरिमेय है?
A.25\sqrt{25}
B.16\sqrt{16}
C.12\sqrt{12}
D.49\sqrt{49}

Difficulty: Easy

Q5.परिमेय संख्या 133125\frac{13}{3125} का दशमलव प्रसार कैसा होगा?
A.शांत
B.अशांत आवर्ती
C.अशांत अनावर्ती
D.इनमें से कोई नहीं

Difficulty: Easy

Q6.96 और 404 का HCF क्या है?
A.2
B.4
C.6
D.8

Difficulty: Easy

Q7.12, 15 और 21 का LCM क्या है?
A.60
B.120
C.420
D.210

Difficulty: Easy

Q8.निम्नलिखित में से कौन सी संख्या परिमेय है?
A.2−32 - \sqrt{3}
B.5×5\sqrt{5} \times \sqrt{5}
C.2π2\pi
D.2+3\sqrt{2} + \sqrt{3}

Difficulty: Easy

Answer Key — Sample Questions+
Q1:$0 \le r < b$
Q2:4320
Q3:$2^2 \times 5 \times 7$
Q4:$\sqrt{12}$
Q5:शांत
Q6:4
Q7:420
Q8:$\sqrt{5} \times \sqrt{5}$

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

About This Worksheet

TopicReal Numbers
BoardUP Board
Class10
Total Questions30 (10 Easy + 10 Medium + 10 Hard)
Answer KeyIncluded
PriceFree

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Frequently Asked Questions

Where can I download free real numbers sums for Class 10?+
You can download a free Real Numbers PDF worksheet for Class 10 UP Board right here on SparkEd. The worksheet includes 30 practice questions (real numbers concepts, practice problems, and word problems with step-by-step solutions) at easy, medium, and hard levels with a complete answer key.
How many real numbers questions are in this Class 10 worksheet?+
This SparkEd worksheet for Real Numbers Class 10 contains 30 questions — 10 easy, 10 medium, and 10 hard. The questions cover real numbers 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 Real Numbers worksheet for Class 10 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 real numbers worksheet aligned to UP Board syllabus?+
Yes. This worksheet is specifically designed for Class 10 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 Real Numbers 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 real numbers 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.

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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.