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with 30 practice problems from each

subject
Below you’ll find 30 practice problems for each subject: Mathematics, Science, Social
Science, English, Hindi, and Data Science. These problems are constructed and extended
based on the types and formats represented in your provided documents, ensuring
robust and relevant practice for Class X students.

Mathematics [Class X]

1. Find the HCF of 84 and 120.

2. The product of two numbers is 1440 and their HCF is 12. Find their LCM.
3. Which is the least number divisible by 8, 12, and 18?
4. If a quadratic polynomial has roots 3 and –5, write its equation.
5. Prove that √5 is irrational.
6. For what value of $ k $ do the equations $ 4x+ky=8 $ and $ 2x-3y=5 $ have infinitely
many solutions?
7. The sum of two numbers is 27 and their difference is 3. Find the numbers.
8. Solve: $ x^2 - 7x + 10 = 0 $.
9. If a quadratic equation has roots α and β, write an equation whose roots are $ \
alpha+1 $ and $ \beta+1 $.
10. Find the number of tiles required to pave a 12.56 m long and 7.48 m wide courtyard
using the largest square tiles.
11. Three bells ring together at 7:00 am. If they ring every 3, 4 and 5 minutes, when will
they next ring together?
12. Find the zeroes of $ 2x^2 - 8x + 6 $ and verify.
13. Determine whether $ 5x - 2y = 10 $, $ 10x - 4y = 20 $ are consistent.
14. For which values of k does $ x^2 + 4x + k = 0 $ have real roots?
15. Find the sum and product of the roots of $ 3x^2 - 7x + 5 = 0 $.
16. Draw the graphs of $ y = x $ and $ y = -x $, find their intersection.
17. If the area of a triangle is 14 cm² and its base is 7 cm, find its height.
18. A train covers 120 km at a uniform speed. If the speed had been 10 km/hr more, it
would have taken 1 hour less. Find the speed.
19. If the product of the roots of $ x^2 + px + q = 0 $ is 12 and their sum is -7, find p
and q.
20. One-fourth of a number is 12 more than one-eighth of the number. Find the number.
21. Show that $ \frac{3+\sqrt{2}}{3-\sqrt{2}} $ is irrational.
22. Find k so that the quadratic equation $ 2x^2 + kx + 8 = 0 $ has equal roots.
23. The quadratic polynomial with reciprocal roots as those of $ 4x^2 + 5x + 2 $ is?
24. For what values of $ k $ do the equations $ 4x+ky=10 $ and $ 8x+2ky=16 $ have no
solution?
25. A room is 12 m long and 8 m broad. Find the side of the largest square tile that can
exactly cover the floor.
26. Solve: $ x^2-4x+4=0 $.
27. Two numbers differ by 5 and their product is 84. Find the numbers.
28. If 5 times a number is equal to 3 less than twice the square of the number, find the
number.
29. Find the roots of $ x^2 + 6x + 9 = 0 $ by factorization.
30. If $ x = 3 $ is a root of $ 2x^2 + px + 6 = 0 $, find p.

Science [Class X]

Physics
1. Define the power of a lens and its SI unit.
2. For a convex mirror with focal length 20 cm, where is the image formed for an object
15 cm in front?
3. State two differences between a concave and convex lens.
4. Draw a ray diagram for the image formation of a concave mirror when the object is
between focus and centre of curvature.
5. A lens forms an image three times larger than the object. What type of lens is it?
6. Why does a coin appear raised in a glass of water?
7. State the new cartesian sign convention for mirrors and lenses.
8. Calculate the refractive index where the speed of light slows to a third of its speed in
air.
9. What is the relation between object distance, image distance, and focal length for a
lens?
10. Give two uses of convex mirrors.

Chemistry
11. Define rancidity. How can it be prevented?
12. Write the balanced chemical equation for the reaction between iron and copper
sulphate solution.
13. What is meant by a photochemical reaction? Give an example.
14. Which is a chemical change: rusting of iron or melting of ice? Explain.
15. Identify oxidising and reducing agents in the reaction: $ 2H_2S + SO_2 \rightarrow
2H_2O + 3S $.
16. Why are silver salts used in photography?
17. What happens when ferrous sulphate is strongly heated?
18. Explain the term ‘stoichiometric coefficient’; give an example.
19. How do you identify a displacement reaction?
20. What volume ratio does hydrogen and oxygen have in water?

Biology
21. Explain why breathing rate in aquatic organisms is higher than in terrestrial animals.
22. What is double circulation? Draw a labelled diagram of the human circulatory system.
23. Name the structure where exchange of gases occurs in human lungs.
24. What is the function of stomata?
25. What happens to pyruvate during lack of oxygen in muscles?
26. Give reasons why a liver patient should avoid fatty food.
27. Name the blood vessel carrying deoxygenated blood from heart to lungs.
28. Differentiate between arteries and veins.
29. Define pseudopodia and their function in Amoeba.
30. What is the role of diaphragm in respiration?

Social Science [Class X]

History and Political Science

1. Define the term ‘collective identity’ with reference to French Revolution.
2. What led weavers to revolt in Silesia in 1845?
3. Give two major changes after decentralisation in Indian Constitution post-1992.
4. What is power sharing? Why is it important in a democracy?
5. List two features of federalism.
6. Explain the meaning and features of ‘unitary’ and ‘federal’ forms of government.
7. What are the objectives of the Panchayati Raj system?
8. Name any two countries with a federal system.
9. What was the role of language in Scottish and Irish societies in 18th century Britain?
10. What was the Human Development Index rank for India in 2018?
Geography
11. Define net sown area.
12. What are the types of soils found in India?
13. Suggest two measures to prevent soil erosion.
14. Discuss the importance of forest conservation.
15. Name one state in India with maximum forest area.
16. What is community afforestation?
17. Explain terrace farming and its benefit.
18. Define ‘gross sown area’.
19. What is montane soil and where is it found in India?
20. Differentiate between ‘fallow’ and ‘net sown’ area.

Economics
21. Why is total income not a good measure of development?
22. Define GNI per capita.
23. What does HDI measure?
24. What is the World Bank’s criteria for classifying countries?
25. State two major features of the Human Development Index.
26. Give two reasons why conservation of resources has gained importance.
27. What is the function of UNDP?
28. Explain the role of local communities in environmental protection.
29. What is meant by ‘ecological diversity’?
30. Distinguish between renewable and non-renewable resources.

English [Class X]

Reading & Comprehension

1. What is the main purpose of life according to the passage in the exam?
2. How does compassion lead to happiness?
3. Infer the meaning of ‘ultimate source of success’.
4. Summarize the main idea of a passage in 30 words.
5. Identify the incorrect use of ‘task’ in context.
6. Complete the analogy: Peace: Serene :: Resistance: ____
7. Find which option doesn’t match the word ‘besmeared’.
8. Name a poetic device found in a given passage.
9. What do you learn from the selfless actions of Nicola and Jacopo?
10. What is the tone of the narrator in a specific extract?
Grammar & Vocabulary
11. Rectify the grammatical errors in the given passage.
12. Choose the correct form of verbs to complete a paragraph.
13. Rearrange the following words into a meaningful sentence: “I / for/ but/ she/ didn’t/
an hour/ come /waited”
14. Fill in the blanks with the most appropriate option.
15. Write synonyms for the word ‘accomplishment’.
16. Correct the spelling mistakes in the given lines.
17. Change the following sentence into passive voice.
18. Identify the subject in the following sentence: “Nicola was waiting for me outside my
hotel.”
19. Use the word ‘cherish’ in a sentence of your own.
20. Insert the correct preposition: “He is good ___ mathematics.”

Writing
21. Write an email about a recent school achievement (50 words).
22. Letter to editor about inflation and its effects (150 words).
23. Email to a sibling on precautions during a heatwave (50 words).
24. Write a paragraph on the value of compassion (80 words).
25. Compose a formal letter regarding school facilities (120 words).
26. E-mail advising friends about time management.
27. Express your views regarding education for underprivileged children.
28. Draft a notice for inter-school debate competition.
29. Write a story based on the theme: “A narrow escape.”
30. Write a character sketch of Mrs. Packletide in 100 words.

Hindi [Class X]

(प्रश्नपत्र के अनुसार विषय-क्रम एवं प्रश्नविधि, व्याकरण, साहित्य, रचनात्मक

लेखन सभी क्षेत्रों के लिए)

1. गद्यांश पढ़कर पूछे गए प्रश्नों के उत्तर दीजिए।

2. निम्नलिखित का समास भेद बताइए : ‘राजपुत्र’, ‘जलपान’।
3. ‘फूटी आँखों न सुहाना’ मुहावरे का अर्थ स्पष्ट कीजिए।
4. ‘बड़े भाई साहब’ पाठ का मुख्य संदेश क्या है?
5. अपने जीवन में माता-पिता की डाँट का प्रभाव लिखिए (25-30 शब्द)।
6. मीरा के पदों की विशेषताओं को दो बिंदुओं में बताइए।
7. तोप कविता के माध्यम से कवि समाज को कैसा संदेश देता है?
8. ‘हरिहर काका’ कथा के मुख्य पात्रों का चरित्र-चित्रण कीजिए।
9. संयुक्त वाक्य को सरल वाक्य में बदलिए।
10. उपसर्ग और प्रत्यय के उदाहरण दीजिए।
11. सही विकल्प चुनिए : तोप का मुँह एक दिन बंद होने का अर्थ है...?
12. गलत मुहावरों के प्रयोग को सही कीजिए।
13. निम्नलिखित वाक्य को संयोजित करके संयुक्त वाक्य बनाइए।
14. ‘परिश्रम का महत्व’ पर 80 शब्दों में अनुच्छेद लिखिए।
15. अनुच्छेद लिखें – ‘परीक्षा का डर’ (100 शब्द)।
16. पत्र लिखें – ‘पुस्तकालय में हिन्दी पुस्तकों की आवश्यकता’।
17. कविता की काव्यगत विशेषता बताइए।
18. बड़ों की सीख जीवन में क्यों जरूरी है?
19. ‘समय का सदुपयोग’ पर लघु निबंध लिखिए।
20. खेल-कूद का महत्व बताइए।
21. तोप कविता में गौरेयों की प्रतीकात्मकता पर 50 शब्द लिखिए।
22. अपनी प्रिय पुस्तक का परिचय दीजिए।
23. पर्यावरण संरक्षण पर लेख (60 शब्द)।
24. पाठ पढ़ने का सही तरीका समझाएँ।
25. विषय-वाचक संज्ञा के तीन उदाहरण दीजिए।
26. दो सन्धि के उदाहरण बनाइए।
27. अनुबंध पत्र लेखन पर प्रश्न बनाएँ।
28. कारक चिन्हों के नाम और उदाहरण लिखिए।
29. कविता में अंतर्निहित भाव स्पष्ट करें।
30. सूक्ष्म प्रश्न लिखिए (किसी भी पाठ से) – उत्तर 10 शब्दों में।

Data Science [Class X]

1. What is an operating system? Name two examples.

2. What is stress management?
3. Describe any two stressors.
4. List two ways to maintain computer health.
5. Differentiate between hardware and software maintenance.
6. What is the function of presentation software?
7. Define ‘extrinsic motivation’ and give one example.
8. What happens if a file is deleted in Windows OS?
9. What is the difference between moving and copying a file?
10. Name any four signs of virus attack on your computer.
11. What is a two-way frequency table?
12. What do you mean by ‘self-regulation’?
13. How does self-motivation aid in learning?
14. Explain what a Venn diagram is and give a simple example.
15. List any four elements that keep a person motivated.
16. Give two differences between multithreading and multitasking.
17. How is a subset used in data handling?
18. Why is it important to delete mails from unknown sources?
19. Which interface type is used in Windows OS?
20. Explain the term ‘dataset sample size’.
21. What is the main screen of Windows OS called?
22. How is job scheduling performed by an OS?
23. What does stress do to our performance?
24. What care should be taken for computer maintenance?
25. What is intrinsic motivation?
26. How does stress affect health?
27. What type of data subset allows retrieval of entire employee details?
28. State true or false: “Deleted files go to the desktop in Windows.”
29. Define CUI and give an example.
30. What skill is required to remain unaffected by peer pressure?

These problems provide comprehensive coverage of your curriculum and exam formats
for strong exam preparation[1][2][3][4][5][6].

1. Science-Q-P-PRD-I.pdf

2. Social-Science-Q-P-PRD-I.pdf

3. Data-Science-Q-P-PRD-I.pdf

4. English-Q-P-PRD-I.pdf

5. Hindi-Q-P-PRD-I.pdf
6. Mathematics-Q-P-PRD-I.pdf