अध्याय 7 · Class 8 UP Board · Free Worksheet PDF

Direct & Inverse Proportions Sums for Class 8 — Free UP Board Worksheet PDF with Answers

Download a free printable direct & inverse proportions worksheet for Class 8 UP Board with 30 practice questions covering direct & inverse proportions 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 Direct & Inverse Proportions Sums for Class 8 — Practice Questions

Here are 8 sample direct & inverse proportions sums from this Class 8 UP Board worksheet. Download the full PDF for all 30 questions with answers.

Q1.निम्नलिखित में से कौन सीधा समानुपात (प्रत्यक्ष अनुपात) का उदाहरण है?
A.एक निश्चित दूरी तय करने में लगने वाला समय और वाहन की गति।
B.किसी कार्य को पूरा करने वाले श्रमिकों की संख्या और कार्य को पूरा करने में लगने वाला समय।
C.खरीदे गए सेबों की संख्या और उनकी कुल लागत।
D.एक निश्चित आयतन के लिए गैस का दबाव और उसका आयतन।

Difficulty: Easy

Q2.निम्नलिखित में से कौन प्रतिलोम समानुपात (व्युत्क्रमानुपात) का उदाहरण है?
A.एक निश्चित गति से तय की गई दूरी और लिया गया समय।
B.एक वर्ग की भुजा की लंबाई और उसका परिमाप।
C.एक कार्य को पूरा करने के लिए श्रमिकों की संख्या और कार्य को पूरा करने में लगने वाला समय।
D.एक वस्तु का द्रव्यमान और उसका भार।

Difficulty: Easy

Q3.यदि 8 नोटबुक का मूल्य 120 रुपये है, तो 15 नोटबुक का मूल्य कितना होगा?
A.180 रुपये
B.200 रुपये
C.225 रुपये
D.250 रुपये

Difficulty: Easy

Q4.यदि 5 व्यक्ति एक काम को 16 दिनों में पूरा कर सकते हैं, तो उसी काम को 8 व्यक्ति कितने दिनों में पूरा करेंगे?
A.8 दिन
B.10 दिन
C.12 दिन
D.14 दिन

Difficulty: Easy

Q5.एक कार 4 घंटे में 240 किलोमीटर की दूरी तय करती है। यदि वह उसी गति से चलती रहे, तो 7 घंटे में कितनी दूरी तय करेगी?
A.360 किलोमीटर
B.420 किलोमीटर
C.480 किलोमीटर
D.520 किलोमीटर

Difficulty: Easy

Q6.एक छात्रावास में 100 छात्रों के लिए 20 दिनों का भोजन है। यदि 25 छात्र और आ जाएँ, तो भोजन कितने दिनों तक चलेगा?
A.12 दिन
B.14 दिन
C.16 दिन
D.18 दिन

Difficulty: Easy

Q7.यदि xx और yy सीधे समानुपात में हैं, तो निम्नलिखित में से कौन सा संबंध सत्य है?
A.x+y=स्थिरांकx + y = \text{स्थिरांक}
B.x−y=स्थिरांकx - y = \text{स्थिरांक}
C.x×y=स्थिरांकx \times y = \text{स्थिरांक}
D.xy=स्थिरांक\frac{x}{y} = \text{स्थिरांक}

Difficulty: Easy

Q8.यदि xx और yy प्रतिलोम समानुपात में हैं, तो निम्नलिखित में से कौन सा संबंध सत्य है?
A.x+y=स्थिरांकx + y = \text{स्थिरांक}
B.x−y=स्थिरांकx - y = \text{स्थिरांक}
C.x×y=स्थिरांकx \times y = \text{स्थिरांक}
D.xy=स्थिरांक\frac{x}{y} = \text{स्थिरांक}

Difficulty: Easy

Answer Key — Sample Questions+
Q1:खरीदे गए सेबों की संख्या और उनकी कुल लागत।
Q2:एक कार्य को पूरा करने के लिए श्रमिकों की संख्या और कार्य को पूरा करने में लगने वाला समय।
Q3:225 रुपये
Q4:10 दिन
Q5:420 किलोमीटर
Q6:16 दिन
Q7:$\frac{x}{y} = \text{स्थिरांक}$
Q8:$x \times y = \text{स्थिरांक}$

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

About This Worksheet

TopicDirect & Inverse Proportions
BoardUP Board
Class8
Total Questions30 (10 Easy + 10 Medium + 10 Hard)
Answer KeyIncluded
PriceFree

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Frequently Asked Questions

Where can I download free direct & inverse proportions sums for Class 8?+
You can download a free Direct & Inverse Proportions PDF worksheet for Class 8 UP Board right here on SparkEd. The worksheet includes 30 practice questions (direct & inverse proportions concepts, practice problems, and word problems with step-by-step solutions) at easy, medium, and hard levels with a complete answer key.
How many direct & inverse proportions questions are in this Class 8 worksheet?+
This SparkEd worksheet for Direct & Inverse Proportions Class 8 contains 30 questions — 10 easy, 10 medium, and 10 hard. The questions cover direct & inverse proportions 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 Direct & Inverse Proportions worksheet for Class 8 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 direct & inverse proportions worksheet aligned to UP Board syllabus?+
Yes. This worksheet is specifically designed for Class 8 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 Direct & Inverse Proportions 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 direct & inverse proportions 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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