नमस्कार दोस्तों! छत्तीसगढ़ माध्यमिक शिक्षा मंडल (CGBSE) एवं राज्य शैक्षिक अनुसंधान और प्रशिक्षण परिषद (SCERT CG) के दिशा-निर्देशों के अनुसार शैक्षणिक सत्र 2026-27 के लिए त्रैमासिक परीक्षा (Quarterly Exam / तिमाही आकलन) का आयोजन किया जा रहा है। कक्षा 10वीं के विद्यार्थियों के लिए यह परीक्षा अत्यंत महत्वपूर्ण है, क्योंकि 10वीं एक बोर्ड कक्षा है और तिमाही परीक्षा के माध्यम से छात्र अपनी बोर्ड परीक्षा की तैयारी की मजबूत नींव रख सकते हैं।
इस आर्टिकल में हम आपको CG Board Quarterly Exam 2026-27 (Class – X) के सभी मुख्य विषयों के प्रश्न पत्र, परीक्षा का ब्लूप्रिंट और 100% सटीक सॉल्यूशन पीडीएफ डाउनलोड करने की पूरी जानकारी विस्तार से प्रदान कर रहे हैं।
ओवरव्यू (Overview): CG Board Timahi Pariksha Class 10th 2026-27
| विवरण (Description) | जानकारी (Information) |
| बोर्ड / संस्था का नाम | छत्तीसगढ़ बोर्ड (CGBSE) / समग्र शिक्षा |
| परीक्षा का नाम | त्रैमासिक परीक्षा / तिमाही आकलन 2026-27 |
| कक्षा (Class) | 10वीं (Class – X) |
| शैक्षणिक सत्र | 2026-27 |
| परीक्षा का माध्यम | हिंदी और अंग्रेजी (Hindi & English Medium) |
| पूर्णांक (Total Marks) | 75 अंक (प्रत्येक सैद्धांतिक विषय) |
| समय (Time) | 03.00 घंटे (3 Hours) |
कक्षा 10वीं त्रैमासिक परीक्षा के मुख्य विषय (Main Subjects)
छत्तीसगढ़ बोर्ड के पाठ्यक्रम के अनुसार, कक्षा 10वीं के विद्यार्थियों को बोर्ड परीक्षा की तर्ज पर निम्नलिखित छह अनिवार्य विषयों की त्रैमासिक परीक्षा देनी होती है:
- हिन्दी (Hindi): गद्य, पद्य, जीवन परिचय, निबंध, पत्र-लेखन और रस, छंद, अलंकार जैसे महत्वपूर्ण व्याकरण के टॉपिक।
- गणित (Mathematics): बीजगणित (बहुपद, दो चरों वाले रैखिक समीकरण), अनुपात-समानुपात और ज्यामिति के शुरुआती अध्याय।
- अंग्रेज़ी (English): Reading (Unseen Passage), Writing (Essay/Application), Grammar (Tense, Voice, Narration) और Prose/Poetry के प्रश्न।
- विज्ञान (Science): रासायनिक अभिक्रियाएं, अम्ल-क्षार, प्रकाश का परावर्तन-अपवर्तन और जैव प्रक्रम जैसे महत्वपूर्ण अध्याय।
- सामाजिक विज्ञान (Social Science): संसाधन और विकास, प्रथम विश्व युद्ध, भारतीय संविधान और अर्थशास्त्र के मूल सिद्धांत।
- संस्कृत (Sanskrit): गद्यांश-पद्यांश का अनुवाद, शब्द रूप, धातु रूप, प्रत्यय, समास और पत्र-लेखन।
CG Board कक्षा 10वीं त्रैमासिक परीक्षा का पैटर्न और अंक विभाजन (Exam Blueprint)
कक्षा 10वीं बोर्ड परीक्षा होने के कारण त्रैमासिक पेपर का पैटर्न बिल्कुल बोर्ड के ब्लूप्रिंट पर आधारित होता है:
- पूर्णांक (Total Marks): कक्षा 10वीं के प्रत्येक मुख्य विषय का सैद्धांतिक (Theory) प्रश्न पत्र 75 अंकों का होता है। (शेष 25 अंक प्रोजेक्ट/प्रैक्टिकल के होते हैं)।
- समय अवधि (Time Limit): पेपर को हल करने के लिए 3 घंटे का समय दिया जाता है।
- प्रश्नों का स्वरूप (Question Types): प्रश्न पत्र में सबसे पहले वस्तुनिष्ठ प्रश्न (सही विकल्प, रिक्त स्थान, सत्य/असत्य, सही जोड़ी) पूछे जाते हैं। इसके बाद 2 अंक, 3 अंक, 4 अंक और 5/6 अंक के अति लघु, लघु और विश्लेषणात्मक (दीर्घ उत्तरीय) प्रश्न शामिल होते हैं।
- पाठ्यक्रम (Syllabus): त्रैमासिक परीक्षा में शैक्षणिक कैलेंडर के अनुसार जुलाई से सितम्बर माह तक पढ़ाए गए पाठ्यक्रम (लगभग 33% से 40% सिलेबस) से ही प्रश्न आते हैं।
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QUARTERLY EXAMINATION 2026-27
Class – X Subject : ENGLISH
Note: Attempt all questions.
Read the questions carefully for internal choice.
Read the questions carefully for internal choice.
Q. 1. Choose the correct alternative:
(1×5=5M)
1. The word “tranquil” in the poem ‘How does the little kite learned to fly’ describes the sky as:
2. The word “seriously” in ‘She’s seriously dead alright sir.’ means:
3. I don’t have ………………………….. interest in politics.
4. Gold is ………………………….. useful metal.
5. My brother and I ………………………….. English.
Answer the following questions:
(2×3=6M)
Q. 2. How did the villagers express their gratitude to the service provided by Aakash?
Or
What did Kailash Satyarthi say on being congratulated by Adam Smith?
Q. 3. Why didn’t Jack and Jill pay rent for their house?
Q. 4. Why did the academy send the girl to the conference?
Q. 5. Go through the time line of Dr. A.P.J Abdul Kalam and fill the blanks that follows:-
(1/2 * 6=3M)
Dr. A.P.J. Abdul Kalam was born in the year _1_. He graduated with a degree in _2_ in 1954-55. He completed his training at the Aeronautical Development Establishment in Bangalore. In 1962, he joined _3_ and later became the Project Director of SLV-III. In 1979, he achieved success with the launch of the _4_ satellite. For his great work, he was awarded the Padma Bhushan in 1981, the Padma Vibhushan in 1990, and the _5_ in 1997. In 2002, he became the 11th President of India. Dr. Kalam died at the age of _6_.
Q. 6. You are the Secretary of the Eco-Club of your school. Write a notice informing students about a Tree Plantation Drive being organized in your school campus under the “Green Drive” programme. Mention date, time, venue, and purpose.
OR
You have found a wrist watch. Draft a notice for all the students about it. You are Sonam of Class X.
4M
Q. 7. Read the passage and write its summary in your own words:
4M
“Honesty is one of the finest qualities of human life. It means being truthful in words and fair in actions. An honest person gains the trust and respect of others, which helps in building strong relationships. Dishonesty may provide quick benefits, but they never last long. It ultimately leads to shame, failure, and loss of respect. On the other hand, honesty strengthens character and brings peace of mind. A life of honesty may not always be easy, but it is always noble, respected, and meaningful.”
Q. 8. The following pie chart represents the daily sales of different fruits in the fruit shop. Observe the pie chart and answer the questions that follow:
(1×4=4M)
a. ………………………….. is sold most in a day.
b. …………………………..% of oranges are sold daily.
c. The pie chart represents the sale of different fruit juices in a day at a shop (True/ False)
d. Among the fruits, ………………………….. are sold the least.
Q. 9. Answer the questions from the poem. (Any 2)
(2×2=4M)
a. What is the central message of the poem ‘How the little kite learned to fly’?
b. In the poem ‘Excuses, Excuses and Excuses…’ who are the two people talking in the poem? And whom did the boy blame for his coming late?
c. How did the boys look like from the sky? And why?
Q. 10. Do as directed :-(Any 5)
(1×5=5M)
i. She sings sweetly. (Make sentence emphatic)
ii. Juhi is from Mumbai. (Add question tag)
iii. They attended the party. (Make sentence interrogative)
iv. I play cricket. (Change the sentence into Past Continuous Tense)
v. My mother is sick. She is going to the doctor. (Use Coordinating Conjunction to combine the sentences)
vi. The place was very quiet. He decided to stay there. (Combine the sentences using ‘so…… that’)
vii. She writes plays for the television. She acts in movies. (Combine the sentences using ‘not only…… but also’)
Q. 11. Read the passage carefully and answer the questions given below.
(1×5=5M)
“We would find the hammer for him, and then he would have last sight of the mark he had made on the wall, where the nail was to go in, and each of us had to get up on the chair, beside him, and see if we could find it, and we would each discover it in a different place, and he would call us all fools, one after another, and tell us to get down. And he would take the rule, and re-measure, and find that he would hal thirty-one and three-eighths inches from the corner, and would try to do it in his head, and go mad.
And we would all try to do it in our heads, and all get different results. And the noise that was being made by everybody, the original number would be forgotten, and Uncle Podger would have to measure it again.”
And we would all try to do it in our heads, and all get different results. And the noise that was being made by everybody, the original number would be forgotten, and Uncle Podger would have to measure it again.”
i. What did Uncle Podger less sight of while looking for the hammer?
a. The mail b. The mark on the wall c. The chair d. The picture
a. The mail b. The mark on the wall c. The chair d. The picture
ii. Why did everyone have to get up on the chair beside Uncle Podger?
iii. How did Uncle Podger react when others could not find the mark?
iv. The measuring instrument used by Uncle Podger is the …………………………..
v. Give one word for ‘Not the same’ – …………………………..
Q. 12. Answer the following questions: (Any 5)
(5M)
i. Write any one biliter experiences from the passage that we have while travelling by public transport? https://www.cgboardonline.com
ii. What do the people chewing betel with tobacco do?
iii. What statutory warning is written on cigarette or bidi packs?
iv. Find out the word from the passage which is similar to ’empty or unoccupied’.
v. Find the antonym of the word ‘remember’ from the passage.
Q. 13. Imagine you are Ravi Kumar, a student of Class X, studying in Vidya Sadan High School, Durg. Write an application to your principal requesting him/her to issue your School Leaving Certificate (T.C.) and Character Certificate, as your father has been transferred to another city.
OR
Write a letter to your best friend inviting him/her to the inaugural function of your new house. Mention date, time, and venue clearly. Also request him/her to come a day earlier to help you with preparations.
5M
QUARTERLY EXAMINATION 2026-27
Class – X Subject : ENGLISH
Note: Attempt all questions.
Read the questions carefully for internal choice.
Read the questions carefully for internal choice.
Q. 1. Choose the correct alternative:
(1×5=5M)
1. The word “tranquil” in the poem ‘How does the little kite learned to fly’ describes the sky as:
Ans: B. calm and peaceful[cite: 8]
2. The word “seriously” in ‘She’s seriously dead alright sir.’ means:
Ans: D. truly or really[cite: 8]
3. I don’t have ………………………….. interest in politics.
Ans: A. much[cite: 8]
4. Gold is ………………………….. useful metal.
Ans: C. a[cite: 8]
5. My brother and I ………………………….. English.
Ans: A. speak[cite: 8]
Answer the following questions:
(2×3=6M)
Q. 2. How did the villagers express their gratitude to the service provided by Aakash?[cite: 8]
Or
What did Kailash Satyarthi say on being congratulated by Adam Smith?[cite: 8]
Ans: The villagers expressed their gratitude by collecting donations to build a hospital in their village and named it ‘Aakash Hospital’ in his memory.
Or (Alternate Ans): Kailash Satyarthi said that this honour was for all those children who are suffering in slavery and for those who work tirelessly for child rights.
Or (Alternate Ans): Kailash Satyarthi said that this honour was for all those children who are suffering in slavery and for those who work tirelessly for child rights.
Q. 3. Why didn’t Jack and Jill pay rent for their house?[cite: 8]
Ans: Jack and Jill didn’t pay rent because they bought the house on an installment plan (hire purchase system) instead of renting it.[cite: 8]
Q. 4. Why did the academy send the girl to the conference?[cite: 8]
नोट: आप इस प्रश्न का उत्तर अपनी पुस्तक या परीक्षा अध्ययन या केशव बुक या बुक से पढ़ रहे हैं उसमें आंसर देखें।
Q. 5. Go through the time line of Dr. A.P.J Abdul Kalam and fill the blanks that follows:-[cite: 8]
(1/2 * 6=3M)[cite: 8]
Dr. A.P.J. Abdul Kalam was born in the year _1_. He graduated with a degree in _2_ in 1954-55. He completed his training at the Aeronautical Development Establishment in Bangalore. In 1962, he joined _3_ and later became the Project Director of SLV-III. In 1979, he achieved success with the launch of the _4_ satellite. For his great work, he was awarded the Padma Bhushan in 1981, the Padma Vibhushan in 1990, and the _5_ in 1997. In 2002, he became the 11th President of India. Dr. Kalam died at the age of _6_.[cite: 8]
Ans:
1. 1931[cite: 8]
2. Physics[cite: 8]
3. ISRO[cite: 8]
4. Rohini[cite: 8]
5. Bharat Ratna[cite: 8]
6. 83
1. 1931[cite: 8]
2. Physics[cite: 8]
3. ISRO[cite: 8]
4. Rohini[cite: 8]
5. Bharat Ratna[cite: 8]
6. 83
Q. 6. You are the Secretary of the Eco-Club of your school. Write a notice informing students about a Tree Plantation Drive being organized in your school campus under the “Green Drive” programme. Mention date, time, venue, and purpose.
OR
You have found a wrist watch. Draft a notice for all the students about it. You are Sonam of Class X.[cite: 8]
4M[cite: 8]
Ans (Notice – Tree Plantation Drive):
GOVT. HIGHER SECONDARY SCHOOL
NOTICE
NOTICE
Date: 20 September 2026
TREE PLANTATION DRIVE
All the students are hereby informed that our Eco-Club is organizing a Tree Plantation Drive under the “Green Drive” programme on 28th September 2026 in the school campus from 9:00 AM onwards. The purpose is to make our campus clean, green, and eco-friendly. All students are invited to participate actively.
Secretary
Eco-Club
Eco-Club
Q. 7. Read the passage and write its summary in your own words:[cite: 8]
4M[cite: 8]
“Honesty is one of the finest qualities of human life. It means being truthful in words and fair in actions. An honest person gains the trust and respect of others, which helps in building strong relationships. Dishonesty may provide quick benefits, but they never last long. It ultimately leads to shame, failure, and loss of respect. On the other hand, honesty strengthens character and brings peace of mind. A life of honesty may not always be easy, but it is always noble, respected, and meaningful.”[cite: 8]
Ans (Summary):
Title: The Value of Honesty
Honesty is a noble virtue marked by truthfulness and fairness. While dishonesty offers short-lived benefits and results in disgrace, honesty fosters trust, peace of mind, and character. An honest life is always respected and meaningful.
Title: The Value of Honesty
Honesty is a noble virtue marked by truthfulness and fairness. While dishonesty offers short-lived benefits and results in disgrace, honesty fosters trust, peace of mind, and character. An honest life is always respected and meaningful.
Q. 8. The following pie chart represents the daily sales of different fruits in the fruit shop. Observe the pie chart and answer the questions that follow:[cite: 8, 9]
(1×4=4M)[cite: 9]
a. ………………………….. is sold most in a day.[cite: 9]
b. …………………………..% of oranges are sold daily.[cite: 9]
c. The pie chart represents the sale of different fruit juices in a day at a shop (True/ False)[cite: 9]
d. Among the fruits, ………………………….. are sold the least.[cite: 9]
Ans (Based on Pie Chart):
a. Banana (30%) is sold most in a day.[cite: 9]
b. 15% of oranges are sold daily.[cite: 9]
c. False (It represents the sale of different fruits, not juices)[cite: 9]
d. Among the fruits, Grapes (10%) are sold the least.[cite: 9]
a. Banana (30%) is sold most in a day.[cite: 9]
b. 15% of oranges are sold daily.[cite: 9]
c. False (It represents the sale of different fruits, not juices)[cite: 9]
d. Among the fruits, Grapes (10%) are sold the least.[cite: 9]
Q. 9. Answer the questions from the poem. (Any 2)[cite: 9]
(2×2=4M)[cite: 9]
a. What is the central message of the poem ‘How the little kite learned to fly’?[cite: 9]
Ans: The central message is that courage, self-confidence, and continuous effort help us overcome fear and achieve success.[cite: 9]
b. In the poem ‘Excuses, Excuses and Excuses…’ who are the two people talking in the poem? And whom did the boy blame for his coming late?[cite: 9]
Ans: The teacher and the student (Blenkinsopp) are talking. The boy blamed his grandmother’s death for his late arrival.[cite: 9]
c. How did the boys look like from the sky? And why?[cite: 9]
Ans: The boys looked like small spots moving on the ground because the kite was flying very high in the sky.[cite: 9]
Q. 10. Do as directed :-(Any 5)[cite: 9]
(1×5=5M)[cite: 9]
i. She sings sweetly. (Make sentence emphatic)[cite: 9]
Ans: She does sing sweetly.
ii. Juhi is from Mumbai. (Add question tag)[cite: 9]
Ans: Juhi is from Mumbai, isn’t she?
iii. They attended the party. (Make sentence interrogative)[cite: 9]
Ans: Did they attend the party?
iv. I play cricket. (Change the sentence into Past Continuous Tense)[cite: 9]
Ans: I was playing cricket.
v. My mother is sick. She is going to the doctor. (Use Coordinating Conjunction to combine the sentences)[cite: 9]
Ans: My mother is sick, so she is going to the doctor.
vi. The place was very quiet. He decided to stay there. (Combine the sentences using ‘so…… that’)[cite: 9]
Ans: The place was so quiet that he decided to stay there.
vii. She writes plays for the television. She acts in movies. (Combine the sentences using ‘not only…… but also’)[cite: 9]
Ans: She not only writes plays for the television but also acts in movies.
Q. 11. Read the passage carefully and answer the questions given below.[cite: 9]
(1×5=5M)[cite: 9]
“We would find the hammer for him, and then he would have last sight of the mark he had made on the wall, where the nail was to go in, and each of us had to get up on the chair, beside him, and see if we could find it, and we would each discover it in a different place, and he would call us all fools, one after another, and tell us to get down. And he would take the rule, and re-measure, and find that he would hal thirty-one and three-eighths inches from the corner, and would try to do it in his head, and go mad.
And we would all try to do it in our heads, and all get different results. And the noise that was being made by everybody, the original number would be forgotten, and Uncle Podger would have to measure it again.”[cite: 9]
And we would all try to do it in our heads, and all get different results. And the noise that was being made by everybody, the original number would be forgotten, and Uncle Podger would have to measure it again.”[cite: 9]
i. What did Uncle Podger lose sight of while looking for the hammer?
a. The nail b. The mark on the wall c. The chair d. The picture[cite: 9]
a. The nail b. The mark on the wall c. The chair d. The picture[cite: 9]
Ans: b. The mark on the wall[cite: 9]
ii. Why did everyone have to get up on the chair beside Uncle Podger?[cite: 9]
Ans: Everyone had to get up on the chair to try to find the mark on the wall.[cite: 9]
iii. How did Uncle Podger react when others could not find the mark?[cite: 9]
Ans: He called them all fools, one after another, and told them to get down.[cite: 9]
iv. The measuring instrument used by Uncle Podger is the …………………………..[cite: 9]
Ans: rule (ruler)[cite: 9]
v. Give one word for ‘Not the same’ – …………………………..[cite: 9]
Ans: Different[cite: 9]
Q. 12. Answer the following questions: (Any 5)[cite: 9]
(5M)[cite: 9]
i. Write any one bitter experience that we have while travelling by public transport?
Ans: People carelessly spit pan and tobacco juice out of the windows or on the floor.[cite: 9]
ii. What do the people chewing betel with tobacco do?[cite: 9]
Ans: They spit everywhere indiscriminately, dirtying public transport, walls, and roads.[cite: 9]
iii. What statutory warning is written on cigarette or bidi packs?[cite: 9]
Ans: “Smoking is injurious to health” or “Tobacco causes painful death”.
iv. Find out the word from the passage which is similar to ’empty or unoccupied’.[cite: 9]
Ans: Vacant
v. Find the antonym of the word ‘remember’ from the passage.[cite: 9]
Ans: Forget (Forgotten)[cite: 9]
Q. 13. Imagine you are Ravi Kumar, a student of Class X, studying in Vidya Sadan High School, Durg. Write an application to your principal requesting him/her to issue your School Leaving Certificate (T.C.) and Character Certificate, as your father has been transferred to another city.
OR
Write a letter to your best friend inviting him/her to the inaugural function of your new house. Mention date, time, and venue clearly. Also request him/her to come a day earlier to help you with preparations.[cite: 9]
5M[cite: 9]
Ans (Application):
To,
The Principal,
Vidya Sadan High School, Durg (C.G.)[cite: 9]
Subject: Application for School Leaving Certificate (T.C.) and Character Certificate.[cite: 9]
Respected Sir,
I beg to state that I am Ravi Kumar, a student of Class X in your school. My father has been transferred to Raipur, and our whole family is shifting there soon. Therefore, I cannot continue my studies here.
Kindly issue my School Leaving Certificate (T.C.) and Character Certificate to enable me to take admission in another school. I have cleared all my dues.
Thanking you.
Yours obediently,
Ravi Kumar[cite: 9]
Class: X, Roll No.: 21
Date: 22 September 2026
To,
The Principal,
Vidya Sadan High School, Durg (C.G.)[cite: 9]
Subject: Application for School Leaving Certificate (T.C.) and Character Certificate.[cite: 9]
Respected Sir,
I beg to state that I am Ravi Kumar, a student of Class X in your school. My father has been transferred to Raipur, and our whole family is shifting there soon. Therefore, I cannot continue my studies here.
Kindly issue my School Leaving Certificate (T.C.) and Character Certificate to enable me to take admission in another school. I have cleared all my dues.
Thanking you.
Yours obediently,
Ravi Kumar[cite: 9]
Class: X, Roll No.: 21
Date: 22 September 2026
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QUARTERLY EXAM 2026-27
Class : 10th Subject – English
Note: Attempt all questions.
Q.1 (A) Choose the correct alternative :
(1×5=5)
1. ‘The little kite succeed’ because of :-
2. ‘Drunkardness’ have …………………. grandmothers :-
3. Why are we all the same?
4. ‘Whale’ worn from the poem means “inspired” or “moved deeply”:
5. In the game “Hide and seek,” the word “seek” means:
(B) Fill in the blanks using correct alternatives :
(1×5=5)
i. She is …………………. English woman. (a, an, the)
ii. There is not …………………. milk in the pot. (Much, any, many)
iii. He will visit …………………. 3 o’clock. (on, in, till)
iv. They are not happy because …………………. food is left with them. (few, a little, a few)
v. I have been studying …………………. morning. (since, for, in)
(C) Match the columns to make meaningful sentences :
(1×5=5)
| Column A | Column B |
|---|---|
| i. I had been abroad | a. where match will be played |
| ii. This is the stadium | b. when the announcement was made |
| iii. The grass was yellow | c. you will be fail in exam |
| iv. If you will not study | d. before I visited Canada |
| v. They had already boarded | e. as it is not rained all the flight |
Answer the following questions (Q. 2 to Q. 6) in 2 or 3 sentences:
(2×5=10)
Q. 2. What is Patriotism?
Q. 3. Why did Aunt Jane refuse to lie down on the bed?
Q. 4. Why did Adam Smith call Kailash Satyarthi?
Q. 5. What made the king support the girl in the end?
Q. 6. What does Satyarthi mean by “placed” in the text?
Q. 7. After reading the biography of Kailash Satyarthi, prepare a biodate based on the information gathered.
Born : ……………………………………
Education : ……………………………………
Worked for : ……………………………………
Award : ……………………………………
Spouse : ……………………………………
Known for : ……………………………………
Kailash Satyarthi born on 11th January, 1954 was awarded by the Nobel Peace Prize in 2014 for the struggle against the suppression of all children to education. He were in Samrat Ashok Technological institution, Bhopal. Married to Sumedha. He is a human rights activist from India who has been at the forefront to end child slavery and exploitation.
Born : ……………………………………
Education : ……………………………………
Worked for : ……………………………………
Award : ……………………………………
Spouse : ……………………………………
Known for : ……………………………………
5
Q. 8. Read the given passage and summarize it in not more than 50 words :-
(1 x 5 = 5)
“Exercise is important and it improves your mental health. First, exercise is the bestbest way to deal with stress. When we hear our much stress, our mental and emotional health is affected negatively. Exercise can reduce this impact. Exercise can also influence the balance of chemicals we have inside our bodies. Exercise releases endorphins into our bodies and that can help to feel better or not be depressed. These emotional benefits are very helpful. Exercise also helps us think more clearly because it brings more oxygen to the brain. If you want know how feel when you exercise, you will notice that your mood and mental clarity improve.”
Q. 9. Write a report about the blood donation camp organized in your school in about 80 words:
Hints:
• Organiser – Red Cross Society
• Purpose – awareness
• Participation of local residents, teachers etc.
• Role of doctors / volunteers
• Positive feedback
Hints:
• Organiser – Red Cross Society
• Purpose – awareness
• Participation of local residents, teachers etc.
• Role of doctors / volunteers
• Positive feedback
5
Q. 10. You have lost your watch on the school playground. Write a notice for the ‘Lost and Found’ of your school notice-board for the finder to return it to you. You are Surabhi/Sinha of class X Dashmesh H.S. School Mundhar (C.G.)
OR
You are Shashi Gupta, the Science Secretary of your school Govt. Higher Secondary School, Bilaspur. Your school is going to organize a Science Exhibition next week. Write a notice for your school notice board informing the students about the same.
4
Q. 11. Study the following graph and answer the following questions :
(4)
[Bar Graph Showing Data / Histogram]
1. What information is depicted by the histogram?
2. Which group contains the maximum number of girls?
3. Which groups contains the same number of girls?
4. Heights of how many girls are off height 145 cm or more?
Q. 12. Answer the following questions from poetry (any-2) in 30 words each :
(2)
1. Do you think the little kite was brave? Justify your answer.
2. Do you think Reichenappu’s excuses were realistic? Why or why not?
3. Why the people in the poem are called Bad Guys?
Q. 13. Do as directed (any five) :
(1 x 5 = 5)
(i) I sold my bicycle. (Change into passive voice)
(ii) He does his homework. (Rewrite in past perfect tense)
(iii) Parents love their children. (Rewrite using emphatic do/does/did)
(iv) The food is nice. The restaurant is dirty. (Combine sentences)
(v) I can read English. I can write English. (Combine by ‘and’)
(vi) They won the match. (Change into interrogative)
Q. 14. Read the following passage carefully and answer the questions given below:
(5)
“Around ten years ago there was a young man whose name was Akash. He was studying to be a doctor. After he completed his MBBS he worked hard and won a scholarship to U.S.A. He got his master degree and decided to come back. They all stayed but Akash returned. Akash’s father was not very happy with his son’s decision. He was proud that his son had got a foreign degree. He wanted his son to make America his home, earn a lot of money and finally invite his parents and sisters also to settle down in America. But, Akash was adamant. “My country has spent thousands of rupees in educating me. I have to repay this duty. The only way I can do it is by serving the people here. And moreover India and its village need good doctors for more than rich countries like America.”
(An extract from ‘Patriotism’)”
(An extract from ‘Patriotism’)”
1. There was a young man whose name was ………………….
(a) Vikram (b) Akash (c) Vishal
(a) Vikram (b) Akash (c) Vishal
2. He was studying to be a ………………….
(a) Doctor (b) Engineer (c) Chartered Accountant
(a) Doctor (b) Engineer (c) Chartered Accountant
3. India and its villages need good ………………….
(a) Doctor (b) Electricity (c) Water
(a) Doctor (b) Electricity (c) Water
4. Akash won a scholarship to ………………….
(a) U.S.S.R. (b) U.K. (c) U.S.A.
(a) U.S.S.R. (b) U.K. (c) U.S.A.
5. Write the full form of the following:
M.B.B.S., U.S.A.
M.B.B.S., U.S.A.
Q. 15. Read the passage carefully and answer the questions given below:
(5)
“The Indian education system in the ancient time was truly world class, which attracted scholars from all over the world to come in search of knowledge. A guru was the respected intellectual resource who truly earned that respect due to his/her caliber and system. However the current scenario of education at least in terms of quality, value system and employment has been a cause of concern. Technology particularly information technology, has been a game changer in the process, which calls for a complete re-engineering educational process and system both in content and style of delivery. This has made access to knowledge very easy – Google, You Tube: for example, can answer any query on any topic, anytime, anywhere with the help of latest gadgets.”
1. How was the Indian education system in ancient time? [1]
2. What causes the modern education least in term? [1]
3. Choose the correct options: [2]
(i) A Guru means :
(a) Teacher (b) Doctor (c) Engineer (d) Lawyer
(ii) The term ‘game changer’ is used for :
(a) Gadgets (b) Google (c) Information technology (d) You Tube
(i) A Guru means :
(a) Teacher (b) Doctor (c) Engineer (d) Lawyer
(ii) The term ‘game changer’ is used for :
(a) Gadgets (b) Google (c) Information technology (d) You Tube
4. Write the antonyms of : (i) Modern. [1]
Q. 16. You are Savita Banerjee studying in Govt. Hr Sec. School Raipur. Write an application to the Principal of your school requesting him / her to issue you books from the Book Bank of your school.
OR
Write a letter to your father describing your preparation for the coming examination.
5
QUARTERLY EXAM 2026-27
Class : 10th Subject – English
Note: Attempt all questions.
Q.1 (A) Choose the correct alternative :
(1×5=5)
1. ‘The little kite succeed’ because of :-
Ans: (b) His efforts
2. ‘Blenkinsopp’ have …………………. grandmothers :-
Ans: (b) Four
3. Why are we all the same?
Ans: (c) We are all human being
4. Which word from the poem means “inspired” or “moved deeply”:
Ans: (a) Stirred
5. In the game “Hide and seek,” the word “seek” means:
Ans: (b) To look for someone
(B) Fill in the blanks using correct alternatives :
(1×5=5)
i. She is …………………. English woman. (a, an, the)
Ans: an
ii. There is not …………………. milk in the pot. (Much, any, many)
Ans: much
iii. He will visit …………………. 3 o’clock. (on, in, till)
Ans: till
iv. They are not happy because …………………. food is left with them. (few, a little, a few)
Ans: a little
v. I have been studying …………………. morning. (since, for, in)
Ans: since
(C) Match the columns to make meaningful sentences :
(1×5=5)
| Column A | Column B |
|---|---|
| i. I had been abroad | a. where match will be played |
| ii. This is the stadium | b. when the announcement was made |
| iii. The grass was yellow | c. you will be fail in exam |
| iv. If you will not study | d. before I visited Canada |
| v. They had already boarded | e. as it had not rained all the flight |
Ans (Correct Match):
i. I had been abroad — d. before I visited Canada
ii. This is the stadium — a. where match will be played
iii. The grass was yellow — e. as it had not rained
iv. If you will not study — c. you will fail in exam
v. They had already boarded — b. when the announcement was made
i. I had been abroad — d. before I visited Canada
ii. This is the stadium — a. where match will be played
iii. The grass was yellow — e. as it had not rained
iv. If you will not study — c. you will fail in exam
v. They had already boarded — b. when the announcement was made
Answer the following questions (Q. 2 to Q. 6) in 2 or 3 sentences:
(2×5=10)
Q. 2. What is Patriotism?
Ans: Patriotism means not only sacrificing one’s life for one’s country or going to jail, but also showing love and selfless service for one’s motherland and its people in everyday life through small acts.
Q. 3. Why did Aunt Jane refuse to lie down on the bed?
Ans: Aunt Jane refused to lie down on the bed because she realized that the bed did not fully belong to Jack and Jill; only a small installment of it had been paid.
Q. 4. Why did Adam Smith call Kailash Satyarthi?
Ans: Adam Smith, Chief Scientific Officer at Nobel Media, called Kailash Satyarthi to interview him and congratulate him immediately after he was awarded the Nobel Peace Prize in 2014.
Q. 5. What made the king support the girl in the end?
Ans: The king supported the girl because he was deeply impressed by her talent, courage, determination, and her clever and convincing arguments.
Q. 6. What does Satyarthi mean by “pledged” in the text?
Ans: By “pledged”, Satyarthi means taking a solemn, formal promise or commitment to dedicate one’s life to end child slavery and protect child rights across the world.
Q. 7. After reading the biography of Kailash Satyarthi, prepare a biodata based on the information gathered.
Born : ……………………………………
Education : ……………………………………
Worked for : ……………………………………
Award : ……………………………………
Spouse : ……………………………………
Known for : ……………………………………
Kailash Satyarthi born on 11th January, 1954 was awarded by the Nobel Peace Prize in 2014 for the struggle against the suppression of all children to education. He studied in Samrat Ashok Technological Institute, Bhopal. Married to Sumedha. He is a human rights activist from India who has been at the forefront to end child slavery and exploitation.
Born : ……………………………………
Education : ……………………………………
Worked for : ……………………………………
Award : ……………………………………
Spouse : ……………………………………
Known for : ……………………………………
5
Ans (Biodata):
• Born: 11th January, 1954
• Education: Samrat Ashok Technological Institute, Bhopal
• Worked for: Rights of children, right to education, and ending child exploitation
• Award: Nobel Peace Prize (2014)
• Spouse: Sumedha
• Known for: Human rights activism against child slavery and child labour
• Born: 11th January, 1954
• Education: Samrat Ashok Technological Institute, Bhopal
• Worked for: Rights of children, right to education, and ending child exploitation
• Award: Nobel Peace Prize (2014)
• Spouse: Sumedha
• Known for: Human rights activism against child slavery and child labour
Q. 8. Read the given passage and summarize it in not more than 50 words :-
(1 x 5 = 5)
“Exercise is important and it improves your mental health. First, exercise is the best way to deal with stress. When we hear our much stress, our mental and emotional health is affected negatively. Exercise can reduce this impact. Exercise can also influence the balance of chemicals we have inside our bodies. Exercise releases endorphins into our bodies and that can help to feel better or not be depressed. These emotional benefits are very helpful. Exercise also helps us think more clearly because it brings more oxygen to the brain. If you want know how feel when you exercise, you will notice that your mood and mental clarity improve.”
Ans (Summary):
Title: Mental Benefits of Exercise
Regular exercise greatly improves mental health and relieves stress. It releases endorphins, which fight depression and elevate mood. Additionally, exercise supplies more oxygen to the brain, enhancing mental clarity and overall well-being.
Title: Mental Benefits of Exercise
Regular exercise greatly improves mental health and relieves stress. It releases endorphins, which fight depression and elevate mood. Additionally, exercise supplies more oxygen to the brain, enhancing mental clarity and overall well-being.
Q. 9. Write a report about the blood donation camp organized in your school in about 80 words:
Hints:
• Organiser – Red Cross Society
• Purpose – awareness
• Participation of local residents, teachers etc.
• Role of doctors / volunteers
• Positive feedback
Hints:
• Organiser – Red Cross Society
• Purpose – awareness
• Participation of local residents, teachers etc.
• Role of doctors / volunteers
• Positive feedback
5
Ans (Report):
REPORT ON BLOOD DONATION CAMP
Our school organized a Blood Donation Camp on 18th September 2026 in collaboration with the Red Cross Society. The primary purpose was to create awareness regarding the noble cause of donating blood. A dedicated team of doctors and student volunteers managed the arrangements efficiently. Teachers, staff members, and local residents actively participated by donating blood. Refreshments and certificates were given to all donors. The camp concluded successfully with overwhelmingly positive feedback from everyone.
Our school organized a Blood Donation Camp on 18th September 2026 in collaboration with the Red Cross Society. The primary purpose was to create awareness regarding the noble cause of donating blood. A dedicated team of doctors and student volunteers managed the arrangements efficiently. Teachers, staff members, and local residents actively participated by donating blood. Refreshments and certificates were given to all donors. The camp concluded successfully with overwhelmingly positive feedback from everyone.
Q. 10. You have lost your watch on the school playground. Write a notice for the ‘Lost and Found’ of your school notice-board for the finder to return it to you. You are Surabhi/Sinha of class X Dashmesh H.S. School Mundhar (C.G.)
OR
You are Shashi Gupta, the Science Secretary of your school Govt. Higher Secondary School, Bilaspur. Your school is going to organize a Science Exhibition next week. Write a notice for your school notice board informing the students about the same.
4
Ans (Notice – Lost Watch):
DASHMESH H.S. SCHOOL, MUNDHAR (C.G.)
NOTICE (LOST & FOUND)
NOTICE (LOST & FOUND)
Date: 20 September 2026
LOST WRIST WATCH
This is to inform all students that I have lost my Fastrack black dial wrist watch on the school playground during the recess on 19th September 2026. If anyone finds it, kindly return it to the undersigned or submit it to the Principal’s office. A suitable treat is promised to the finder.
Surabhi Sinha
Class: X
Class: X
Q. 11. Study the following graph and answer the following questions :
(4)
[Histogram Showing Heights of Girls vs Number of Girls]
1. What information is depicted by the histogram?
Ans: The histogram depicts the distribution of heights (in cm) of girls in a class along with their corresponding numbers.
2. Which group contains the maximum number of girls?
Ans: The height group 140 – 145 cm contains the maximum number of girls (7 girls).
3. Which groups contains the same number of girls?
Ans: Groups 135 – 140 cm and 150 – 155 cm have the same number of girls (3 girls each).
4. Heights of how many girls are of height 145 cm or more?
Ans: Number of girls with height 145 cm or more = 4 + 3 + 1 = 8 girls.
Q. 12. Answer the following questions from poetry (any-2) in 30 words each :
(2)
1. Do you think the little kite was brave? Justify your answer.
Ans: Yes, the little kite was brave because, despite its initial fear of falling, it gathered courage, tried steadily, and successfully sailed into the tranquil sky with the big kite.
2. Do you think Blenkinsopp’s excuses were realistic? Why or why not?
Ans: No, Blenkinsopp’s excuses were not realistic because claiming that four grandmothers died in a single term is completely fabricated and absurd.
3. Why the people in the poem are called Bad Guys?
Ans: They are called Bad Guys because they act selfishly, lack empathy, and cause trouble or distress to innocent people.
Q. 13. Do as directed (any five) :
(1 x 5 = 5)
(i) I sold my bicycle. (Change into passive voice)
Ans: My bicycle was sold by me.
(ii) He does his homework. (Rewrite in past perfect tense)
Ans: He had done his homework.
(iii) Parents love their children. (Rewrite using emphatic do/does/did)
Ans: Parents do love their children.
(iv) The food is nice. The restaurant is dirty. (Combine sentences)
Ans: Although the food is nice, the restaurant is dirty. (Or: The food is nice, but the restaurant is dirty.)
(v) I can read English. I can write English. (Combine by ‘and’)
Ans: I can read and write English.
(vi) They won the match. (Change into interrogative)
Ans: Did they win the match?
Q. 14. Read the following passage carefully and answer the questions given below:
(5)
“Around ten years ago there was a young man whose name was Akash. He was studying to be a doctor. After he completed his MBBS he worked hard and won a scholarship to U.S.A. He got his master degree and decided to come back. They all stayed but Akash returned. Akash’s father was not very happy with his son’s decision. He was proud that his son had got a foreign degree. He wanted his son to make America his home, earn a lot of money and finally invite his parents and sisters also to settle down in America. But, Akash was adamant. “My country has spent thousands of rupees in educating me. I have to repay this duty. The only way I can do it is by serving the people here. And moreover India and its village need good doctors for more than rich countries like America.”
(An extract from ‘Patriotism’)”
(An extract from ‘Patriotism’)”
1. There was a young man whose name was ………………….
(a) Vikram (b) Akash (c) Vishal
(a) Vikram (b) Akash (c) Vishal
Ans: (b) Akash
2. He was studying to be a ………………….
(a) Doctor (b) Engineer (c) Chartered Accountant
(a) Doctor (b) Engineer (c) Chartered Accountant
Ans: (a) Doctor
3. India and its villages need good ………………….
(a) Doctor (b) Electricity (c) Water
(a) Doctor (b) Electricity (c) Water
Ans: (a) Doctor
4. Akash won a scholarship to ………………….
(a) U.S.S.R. (b) U.K. (c) U.S.A.
(a) U.S.S.R. (b) U.K. (c) U.S.A.
Ans: (c) U.S.A.
5. Write the full form of the following:
M.B.B.S., U.S.A.
M.B.B.S., U.S.A.
Ans:
• M.B.B.S.: Bachelor of Medicine and Bachelor of Surgery
• U.S.A.: United States of America
• M.B.B.S.: Bachelor of Medicine and Bachelor of Surgery
• U.S.A.: United States of America
Q. 15. Read the passage carefully and answer the questions given below:
(5)
“The Indian education system in the ancient time was truly world class, which attracted scholars from all over the world to come in search of knowledge. A guru was the respected intellectual resource who truly earned that respect due to his/her caliber and system. However the current scenario of education at least in terms of quality, value system and employment has been a cause of concern. Technology particularly information technology, has been a game changer in the process, which calls for a complete re-engineering educational process and system both in content and style of delivery. This has made access to knowledge very easy – Google, You Tube: for example, can answer any query on any topic, anytime, anywhere with the help of latest gadgets.”
1. How was the Indian education system in ancient time? [1]
Ans: It was truly world class and attracted scholars from all over the world in search of knowledge.
2. What causes the modern education least in term? [1]
Ans: The decline in quality, loss of core value systems, and lack of employment opportunities are major causes of concern in modern education.
3. Choose the correct options: [2]
(i) A Guru means :
(a) Teacher (b) Doctor (c) Engineer (d) Lawyer
(ii) The term ‘game changer’ is used for :
(a) Gadgets (b) Google (c) Information technology (d) You Tube
(i) A Guru means :
(a) Teacher (b) Doctor (c) Engineer (d) Lawyer
(ii) The term ‘game changer’ is used for :
(a) Gadgets (b) Google (c) Information technology (d) You Tube
Ans:
(i) (a) Teacher
(ii) (c) Information technology
(i) (a) Teacher
(ii) (c) Information technology
4. Write the antonym of : (i) Modern. [1]
Ans: Ancient
Q. 16. You are Savita Banerjee studying in Govt. Hr Sec. School Raipur. Write an application to the Principal of your school requesting him / her to issue you books from the Book Bank of your school.
OR
Write a letter to your father describing your preparation for the coming examination.
5
Ans (Application):
To,
The Principal,
Govt. Higher Secondary School, Raipur (C.G.)
Subject: Application for issuing books from the Book Bank.
Respected Sir,
I am Savita Banerjee, a student of Class X in your school. My father is a poor farmer, and his income is insufficient to buy all textbooks for my studies. I have consistently been a diligent and bright student.
Therefore, I kindly request you to issue my course books from the school Book Bank for this academic session. I assure you that I will take utmost care of them and return them on time.
Thanking you.
Yours obediently,
Savita Banerjee
Class: X, Roll No.: 18
Date: 22 September 2026
To,
The Principal,
Govt. Higher Secondary School, Raipur (C.G.)
Subject: Application for issuing books from the Book Bank.
Respected Sir,
I am Savita Banerjee, a student of Class X in your school. My father is a poor farmer, and his income is insufficient to buy all textbooks for my studies. I have consistently been a diligent and bright student.
Therefore, I kindly request you to issue my course books from the school Book Bank for this academic session. I assure you that I will take utmost care of them and return them on time.
Thanking you.
Yours obediently,
Savita Banerjee
Class: X, Roll No.: 18
Date: 22 September 2026
यह पेपर अभी Review में है!
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यह पेपर अभी Review में है!
रियल पेपर और महत्वपूर्ण प्रश्न पत्र हमारे WhatsApp चैनल पर भेज दिए गए हैं। अभी ज्वाइन करें 👇
त्रैमासिक परीक्षा 2026-27 / QUARTERLY EXAM 2026-27
कक्षा – 10वीं (Class – X) विषय – गणित (Mathematics)
निर्देश / General Instructions:-
- सभी प्रश्न अनिवार्य हैं। / Attempt all Questions.
- ग्राफ पेपर की आवश्यकता है। / Graph paper is required.
- कैलकुलेटर का प्रयोग वर्जित है। / Use of calculator is not permitted.
- प्रश्न क्रमांक 1 से 5 तक वस्तुनिष्ठ प्रश्न हैं, जिनमें (अ) सही विकल्प, (ब) रिक्त स्थानों की पूर्ति, (स) सत्य/असत्य और (द) सही जोड़ी मिलान वाले प्रश्न हैं। प्रत्येक प्रश्न पर 1 अंक निर्धारित है।
Question No. 1 to 5 are objective type questions. In Part (A) MCQs, in Part (B) Fill in the blanks, in Part (C) Write True/False are given. Each question carries 1 mark. - प्रश्न क्रमांक 2 से 7 तक अति लघु उत्तरीय प्रश्न हैं। प्रत्येक प्रश्न के लिए 2 अंक निर्धारित हैं।
Question No. 2 to 7 are very short answer type questions. Each question carries 2 marks. - प्रश्न क्रमांक 8 से 10 तक लघु उत्तरीय प्रश्न हैं। प्रत्येक प्रश्न के लिए 3 अंक निर्धारित हैं।
Question No. 8 to 10 are very short answer type questions. Each question carries 3 marks. - प्रश्न क्रमांक 11 से 13 तक लघु उत्तरीय प्रश्न हैं। प्रत्येक प्रश्न में आंतरिक विकल्प है। प्रत्येक प्रश्न के लिए 4 अंक निर्धारित हैं।
Question No. 11 to 13 are short answer type questions. Each question has an internal choice. Each question carries 4 marks. - प्रश्न क्रमांक 14 दीर्घ उत्तरीय प्रश्न है। इस प्रश्न में आंतरिक विकल्प है। इसके लिए 5 अंक निर्धारित हैं।
Question No. 14 is long answer type question. This question has an internal choice. Each question carries 5 marks.
प्रश्न 1. (खण्ड-अ) सही विकल्प चुनकर लिखिए – (5 अंक)
(PART-A) Choose and write the correct option.
(PART-A) Choose and write the correct option.
(i) 6 और 4 का समापवर्त क्या होता है –
1 अंक
The Arithmetic mean of 6 and 4 is –
(ii) बहुपद (x² – 9) का शून्यक है –
1 अंक
Zeros of polynomial (x² – 9) are –
(iii) बिंदु (3, -5) किस चतुर्थांश में है –
1 अंक
Point (3, -5) lies in which quadrant?
(iv) समान्तर श्रेणी 3, 5, 7, 9 ………… का सार्वअंतर है –
1 अंक
The common difference of an arithmetic progression 3, 5, 7, 9 ………… is –
प्रश्न 1. (खण्ड-ब) रिक्त स्थानों की पूर्ति कीजिए – (4 अंक)
(PART-B) Fill in the blanks:
(PART-B) Fill in the blanks:
(i) यदि 7 : 3 = 21 : x हो, तो x का मान …………………. होगा।
1 अंक
If 7 : 3 = 21 : x, then x is equal to ………………….
(ii) बिंदु (0, 6) …………………. अक्ष पर स्थित है।
1 अंक
Point (0, 6) lies on …………………. axis.
(iii) यदि छमाही ब्याज दर से ब्याज की गणना की जाए तो वार्षिक दर की आधी ली जाती है या …………………. किया जाना चाहिए।
1 अंक
If the interest is calculated on half-yearly basis, the fixed deposit account, then annual rate should be taken ………………….
(iv) सरल रेखा y = 5x + 3 की प्रवणता …………………. होगी।
1 अंक
The slope of straight line y = 5x + 3 will be ………………….
प्रश्न 1. (खण्ड-स) सत्य/असत्य लिखिए – (3 अंक)
(PART-C) Write True/False:
(PART-C) Write True/False:
(i) मूल बिंदु के निर्देशांक (x, y) होते हैं।
1 अंक
The coordinate of origin are (x, y).
(ii) समीकरण निकाय में यदि a₁/a₂ = b₁/b₂ ≠ c₁/c₂ हो, तो अद्वितीय हल प्राप्त होगा।
1 अंक
If a₁/a₂ = b₁/b₂ ≠ c₁/c₂ is the system of equation, then we will get a unique solution.
(iii) बैंक में खाता खोलने के लिए PAN अनिवार्य है।
1 अंक
To open an account in a bank, PAN is must.
प्रश्न 2. x-अक्ष पर स्थित किसी बिंदु की कोटि क्या होगी?
2 अंक
Find the y-coordinate of any point on X-axis.
प्रश्न 3. द्विघात बहुपद x² – 3x + 6 के शून्यक P(0) तथा P(-2) का मान ज्ञात कीजिए।
2 अंक
If the polynomial P(x) = x² – 3x + 6, then find the value of P(0) and P(-2).
प्रश्न 4. यदि कोई रेखा बिंदुओं (-1, 3) और (2, 8) से होकर जाती है, तो उस रेखा की प्रवणता ज्ञात कीजिए।
2 अंक
If a line passes through the points (-1, 3) and (2, 8), then find the slope of the line.
प्रश्न 5. यदि (x + 5) : 45 = 1 : 5 है, तो x का मान ज्ञात कीजिए।
2 अंक
If (x + 5) : 45 = 1 : 5, then find the value of x.
प्रश्न 6. यदि किसी समान्तर श्रेणी का प्रथम पद 3 और सार्वअंतर 5 है, तो 10वाँ पद ज्ञात कीजिए।
3 अंक
If the first term of an arithmetic progression is 3 and common difference is 5, then find the value of 10th term.
प्रश्न 7. समीकरण 9x² – 3x – 2 = 0 को हल कीजिए।
3 अंक
Solve the quadratic equation 9x² – 3x – 2 = 0.
प्रश्न 8. 55 सेमी. लंबे रेखाखंड को 2 : 3 के अनुपात में विभाजित करने पर दोनों भागों की लंबाइयाँ ज्ञात कीजिए।
3 अंक
If a 55 cm. long line segment is divided into two parts in the ratio 2 : 3, then what will be the length of each part.
प्रश्न 9. मूलधन ₹ 100 पर 10% वार्षिक ब्याज की दर से 1, 2, 3, 4 और 5 वर्षों का साधारण ब्याज निम्नलिखित सारणी में प्रदर्शित है:
3 अंक
| समय (वर्ष में) | 0 | 1 | 2 | 3 | 4 | 5 |
|---|---|---|---|---|---|---|
| साधारण ब्याज (₹ में) | 0 | 10 | 20 | 30 | 40 | 50 |
Draw a graph between time and simple interest.
प्रश्न 10. यदि a : b = c : d हो, तो सिद्ध कीजिए कि
(a² – c²) / (b² – d²) = ac / bd
(a² – c²) / (b² – d²) = ac / bd
4 अंक
If a : b = c : d, then prove that (a² – c²) / (b² – d²) = ac / bd
प्रश्न 11. समीकरणों को हल कीजिए –
2x + y = 8
x – 2y = -1
2x + y = 8
x – 2y = -1
4 अंक
Solve the equations – 2x + y = 8, x – 2y = -1
अथवा (OR)
k के किस मान के लिए समीकरण निकाय
kx – 5y = 2
6x – 2y = 7 का एक अद्वितीय हल है।
For what value of k, system of equation kx – 5y = 2, 6x – 2y = 7 has a unique solution.
k के किस मान के लिए समीकरण निकाय
kx – 5y = 2
6x – 2y = 7 का एक अद्वितीय हल है।
For what value of k, system of equation kx – 5y = 2, 6x – 2y = 7 has a unique solution.
प्रश्न 12. जाँच कीजिए कि g(x), p(x) का एक गुणनखंड है, यदि g(x) = x – 3, p(x) = x³ – 4x² + x + 6
4 अंक
Check whether g(x) is a factor of p(x), if g(x) = x – 3, p(x) = x³ – 4x² + x + 6
प्रश्न 13. 100 और 200 के बीच की विषम संख्याओं का योगफल ज्ञात कीजिए।
4 अंक
Find the sum of odd numbers between 100 and 200.
अथवा (OR)
1 और 100 के बीच उन प्राकृतिक संख्याओं का योग ज्ञात कीजिए, जो 3 से विभाज्य हैं।
Find the sum of natural numbers between 1 and 100 which are divisible by 3.
1 और 100 के बीच उन प्राकृतिक संख्याओं का योग ज्ञात कीजिए, जो 3 से विभाज्य हैं।
Find the sum of natural numbers between 1 and 100 which are divisible by 3.
प्रश्न 14. रमेश एक आवर्ती जमा खाता में ₹ 150 प्रति माह की दर से 2 वर्ष के लिए बैंक में जमा करता है। यदि ब्याज की दर 6% वार्षिक हो, तो उसे 2 वर्ष पश्चात कितनी राशि बैंक द्वारा प्राप्त होगी?
5 अंक
A person deposits ₹ 150 per month in a recurring deposit account for 2 years. Find the amount he will get at the time of maturity at the rate of 6% per annum.
अथवा (OR)
अमित ने बैंक में 20,000 रु. 1 वर्ष के लिए सावधि जमा खाते में जमा किया। यदि ब्याज की दर 6% हो और ब्याज की गणना छमाही हो, तो 1 वर्ष पश्चात उसे कितनी राशि प्राप्त होगी?
A person deposited ₹ 20,000 for one year in a fixed deposit account. If the rate of interest is 6% per annum and the interest is compounded every six months, then what amount will he get after one year?
अमित ने बैंक में 20,000 रु. 1 वर्ष के लिए सावधि जमा खाते में जमा किया। यदि ब्याज की दर 6% हो और ब्याज की गणना छमाही हो, तो 1 वर्ष पश्चात उसे कितनी राशि प्राप्त होगी?
A person deposited ₹ 20,000 for one year in a fixed deposit account. If the rate of interest is 6% per annum and the interest is compounded every six months, then what amount will he get after one year?
त्रैमासिक परीक्षा 2026-27 / QUARTERLY EXAM 2026-27
कक्षा – 10वीं (Class – X) विषय – गणित (Mathematics)
निर्देश / General Instructions:-
- सभी प्रश्न अनिवार्य हैं। / Attempt all Questions.
- ग्राफ पेपर की आवश्यकता है। / Graph paper is required.
- कैलकुलेटर का प्रयोग वर्जित है। / Use of calculator is not permitted.
- प्रश्न क्रमांक 1 से 5 तक वस्तुनिष्ठ प्रश्न हैं, जिनमें (अ) सही विकल्प, (ब) रिक्त स्थानों की पूर्ति, (स) सत्य/असत्य और (द) सही जोड़ी मिलान वाले प्रश्न हैं। प्रत्येक प्रश्न पर 1 अंक निर्धारित है।
Question No. 1 to 5 are objective type questions. In Part (A) MCQs, in Part (B) Fill in the blanks, in Part (C) Write True/False are given. Each question carries 1 mark. - प्रश्न क्रमांक 2 से 7 तक अति लघु उत्तरीय प्रश्न हैं। प्रत्येक प्रश्न के लिए 2 अंक निर्धारित हैं।
Question No. 2 to 7 are very short answer type questions. Each question carries 2 marks. - प्रश्न क्रमांक 8 से 10 तक लघु उत्तरीय प्रश्न हैं। प्रत्येक प्रश्न के लिए 3 अंक निर्धारित हैं।
Question No. 8 to 10 are very short answer type questions. Each question carries 3 marks. - प्रश्न क्रमांक 11 से 13 तक लघु उत्तरीय प्रश्न हैं। प्रत्येक प्रश्न में आंतरिक विकल्प है। प्रत्येक प्रश्न के लिए 4 अंक निर्धारित हैं।
Question No. 11 to 13 are short answer type questions. Each question has an internal choice. Each question carries 4 marks. - प्रश्न क्रमांक 14 दीर्घ उत्तरीय प्रश्न है। इस प्रश्न में आंतरिक विकल्प है। इसके लिए 5 अंक निर्धारित हैं।
Question No. 14 is long answer type question. This question has an internal choice. Each question carries 5 marks.
प्रश्न 1. (खण्ड-अ) सही विकल्प चुनकर लिखिए – (5 अंक)
(PART-A) Choose and write the correct option.
(PART-A) Choose and write the correct option.
(i) 6 और 4 का समापवर्त क्या होता है –
1 अंक
The Arithmetic mean of 6 and 4 is –
उत्तर: (b) 5 (समान्तर माध्य = (6 + 4)/2 = 10/2 = 5)
(ii) बहुपद (x² – 9) का शून्यक है –
1 अंक
Zeros of polynomial (x² – 9) are –
उत्तर: 3, -3 (x² – 9 = 0 ⇒ x² = 9 ⇒ x = ±3)
(iii) बिंदु (3, -5) किस चतुर्थांश में है –
1 अंक
Point (3, -5) lies in which quadrant?
उत्तर: (d) Fourth quadrant (चतुर्थ चतुर्थांश)
(iv) समान्तर श्रेणी 3, 5, 7, 9 ………… का सार्वअंतर है –
1 अंक
The common difference of an arithmetic progression 3, 5, 7, 9 ………… is –
उत्तर: (b) 2 (d = 5 – 3 = 2)
प्रश्न 1. (खण्ड-ब) रिक्त स्थानों की पूर्ति कीजिए – (4 अंक)
(PART-B) Fill in the blanks:
(PART-B) Fill in the blanks:
(i) यदि 7 : 3 = 21 : x हो, तो x का मान …………………. होगा।
1 अंक
If 7 : 3 = 21 : x, then x is equal to ………………….
उत्तर: 9 (7/3 = 21/x ⇒ 7x = 63 ⇒ x = 9)
(ii) बिंदु (0, 6) …………………. अक्ष पर स्थित है।
1 अंक
Point (0, 6) lies on …………………. axis.
उत्तर: Y (Y-अक्ष)
(iii) यदि छमाही ब्याज दर से ब्याज की गणना की जाए तो वार्षिक दर की आधी ली जाती है या …………………. किया जाना चाहिए।
1 अंक
If the interest is calculated on half-yearly basis, the fixed deposit account, then annual rate should be taken ………………….
उत्तर: आधी (Half / r/2) और समय दोगुना किया जाता है
(iv) सरल रेखा y = 5x + 3 की प्रवणता …………………. होगी।
1 अंक
The slope of straight line y = 5x + 3 will be ………………….
उत्तर: 5 (y = mx + c से तुलना करने पर m = 5)
प्रश्न 1. (खण्ड-स) सत्य/असत्य लिखिए – (3 अंक)
(PART-C) Write True/False:
(PART-C) Write True/False:
(i) मूल बिंदु के निर्देशांक (x, y) होते हैं।
1 अंक
The coordinate of origin are (x, y).
उत्तर: असत्य (मूल बिंदु के निर्देशांक (0, 0) होते हैं)
(ii) समीकरण निकाय में यदि a₁/a₂ = b₁/b₂ ≠ c₁/c₂ हो, तो अद्वितीय हल प्राप्त होगा।
1 अंक
If a₁/a₂ = b₁/b₂ ≠ c₁/c₂ is the system of equation, then we will get a unique solution.
उत्तर: असत्य (इस स्थिति में कोई हल नहीं होता है)
(iii) बैंक में खाता खोलने के लिए PAN अनिवार्य है।
1 अंक
To open an account in a bank, PAN is must.
उत्तर: असत्य (PAN न होने पर फॉर्म 60 का उपयोग किया जा सकता है)
प्रश्न 2. x-अक्ष पर स्थित किसी बिंदु की कोटि क्या होगी?
2 अंक
Find the y-coordinate of any point on X-axis.
उत्तर: x-अक्ष पर स्थित किसी बिंदु की कोटि (y-निर्देशांक) 0 (शून्य) होती है।
प्रश्न 3. द्विघात बहुपद x² – 3x + 6 के शून्यक P(0) तथा P(-2) का मान ज्ञात कीजिए।
2 अंक
If the polynomial P(x) = x² – 3x + 6, then find the value of P(0) and P(-2).
उत्तर:
P(0) = (0)² – 3(0) + 6 = 6
P(-2) = (-2)² – 3(-2) + 6 = 4 + 6 + 6 = 16
P(0) = (0)² – 3(0) + 6 = 6
P(-2) = (-2)² – 3(-2) + 6 = 4 + 6 + 6 = 16
प्रश्न 4. यदि कोई रेखा बिंदुओं (-1, 3) और (2, 8) से होकर जाती है, तो उस रेखा की प्रवणता ज्ञात कीजिए।
2 अंक
If a line passes through the points (-1, 3) and (2, 8), then find the slope of the line.
उत्तर: प्रवणता (m) = (y₂ – y₁) / (x₂ – x₁) = (8 – 3) / [2 – (-1)] = 5 / (2 + 1) = 5/3
प्रश्न 5. यदि (x + 5) : 45 = 1 : 5 है, तो x का मान ज्ञात कीजिए।
2 अंक
If (x + 5) : 45 = 1 : 5, then find the value of x.
उत्तर: (x + 5) / 45 = 1 / 5
5(x + 5) = 45
x + 5 = 9 ⇒ x = 9 – 5 = 4
5(x + 5) = 45
x + 5 = 9 ⇒ x = 9 – 5 = 4
प्रश्न 6. यदि किसी समान्तर श्रेणी का प्रथम पद 3 और सार्वअंतर 5 है, तो 10वाँ पद ज्ञात कीजिए।
3 अंक
If the first term of an arithmetic progression is 3 and common difference is 5, then find the value of 10th term.
उत्तर: प्रथम पद a = 3, सार्वअंतर d = 5, n = 10
nवाँ पद: an = a + (n – 1)d
a₁₀ = 3 + (10 – 1) × 5 = 3 + 9 × 5 = 3 + 45 = 48
nवाँ पद: an = a + (n – 1)d
a₁₀ = 3 + (10 – 1) × 5 = 3 + 9 × 5 = 3 + 45 = 48
प्रश्न 7. समीकरण 9x² – 3x – 2 = 0 को हल कीजिए।
3 अंक
Solve the quadratic equation 9x² – 3x – 2 = 0.
उत्तर: 9x² – 6x + 3x – 2 = 0
3x(3x – 2) + 1(3x – 2) = 0
(3x – 2)(3x + 1) = 0
3x – 2 = 0 ⇒ x = 2/3 अथवा 3x + 1 = 0 ⇒ x = -1/3
अतः x = 2/3, -1/3
3x(3x – 2) + 1(3x – 2) = 0
(3x – 2)(3x + 1) = 0
3x – 2 = 0 ⇒ x = 2/3 अथवा 3x + 1 = 0 ⇒ x = -1/3
अतः x = 2/3, -1/3
प्रश्न 8. 55 सेमी. लंबे रेखाखंड को 2 : 3 के अनुपात में विभाजित करने पर दोनों भागों की लंबाइयाँ ज्ञात कीजिए।
3 अंक
If a 55 cm. long line segment is divided into two parts in the ratio 2 : 3, then what will be the length of each part.
उत्तर: अनुपाती योग = 2 + 3 = 5
पहला भाग = (2 / 5) × 55 = 22 सेमी.
दूसरा भाग = (3 / 5) × 55 = 33 सेमी.
पहला भाग = (2 / 5) × 55 = 22 सेमी.
दूसरा भाग = (3 / 5) × 55 = 33 सेमी.
प्रश्न 9. मूलधन ₹ 100 पर 10% वार्षिक ब्याज की दर से 1, 2, 3, 4 और 5 वर्षों का साधारण ब्याज निम्नलिखित सारणी में प्रदर्शित है:
3 अंक
| समय (वर्ष में) | 0 | 1 | 2 | 3 | 4 | 5 |
|---|---|---|---|---|---|---|
| साधारण ब्याज (₹ में) | 0 | 10 | 20 | 30 | 40 | 50 |
Draw a graph between time and simple interest.
नोट: आप इस प्रश्न का उत्तर अपनी पुस्तक, परीक्षा अध्ययन, केशव बुक या अन्य बुक से पढ़ रहे हैं, उसमें आलेख (ग्राफ) का हल देखें।
प्रश्न 10. यदि a : b = c : d हो, तो सिद्ध कीजिए कि
(a² – c²) / (b² – d²) = ac / bd
(a² – c²) / (b² – d²) = ac / bd
4 अंक
If a : b = c : d, then prove that (a² – c²) / (b² – d²) = ac / bd
उत्तर: माना a/b = c/d = k ⇒ a = bk, c = dk
LHS = (a² – c²) / (b² – d²) = (b²k² – d²k²) / (b² – d²) = k²(b² – d²) / (b² – d²) = k²
RHS = ac / bd = (bk × dk) / bd = bd k² / bd = k²
अतः LHS = RHS (इति सिद्धम्)
LHS = (a² – c²) / (b² – d²) = (b²k² – d²k²) / (b² – d²) = k²(b² – d²) / (b² – d²) = k²
RHS = ac / bd = (bk × dk) / bd = bd k² / bd = k²
अतः LHS = RHS (इति सिद्धम्)
प्रश्न 11. समीकरणों को हल कीजिए –
2x + y = 8
x – 2y = -1
2x + y = 8
x – 2y = -1
4 अंक
Solve the equations – 2x + y = 8, x – 2y = -1
अथवा (OR)
k के किस मान के लिए समीकरण निकाय
kx – 5y = 2
6x – 2y = 7 का एक अद्वितीय हल है।
For what value of k, system of equation kx – 5y = 2, 6x – 2y = 7 has a unique solution.
k के किस मान के लिए समीकरण निकाय
kx – 5y = 2
6x – 2y = 7 का एक अद्वितीय हल है।
For what value of k, system of equation kx – 5y = 2, 6x – 2y = 7 has a unique solution.
उत्तर: समीकरण 1 से: y = 8 – 2x
समीकरण 2 में मान रखने पर: x – 2(8 – 2x) = -1
x – 16 + 4x = -1 ⇒ 5x = 15 ⇒ x = 3
y का मान: y = 8 – 2(3) = 8 – 6 = 2
अतः हल: x = 3, y = 2
समीकरण 2 में मान रखने पर: x – 2(8 – 2x) = -1
x – 16 + 4x = -1 ⇒ 5x = 15 ⇒ x = 3
y का मान: y = 8 – 2(3) = 8 – 6 = 2
अतः हल: x = 3, y = 2
प्रश्न 12. जाँच कीजिए कि g(x), p(x) का एक गुणनखंड है, यदि g(x) = x – 3, p(x) = x³ – 4x² + x + 6
4 अंक
Check whether g(x) is a factor of p(x), if g(x) = x – 3, p(x) = x³ – 4x² + x + 6
उत्तर: गुणनखंड प्रमेय से, यदि g(x) = x – 3 का शून्यक x = 3 है, तो p(3) = 0 होना चाहिए:
p(3) = (3)³ – 4(3)² + 3 + 6 = 27 – 4(9) + 9 = 27 – 36 + 9 = 0
चूँकि शेषफल 0 है, अतः g(x), p(x) का एक गुणनखंड है।
p(3) = (3)³ – 4(3)² + 3 + 6 = 27 – 4(9) + 9 = 27 – 36 + 9 = 0
चूँकि शेषफल 0 है, अतः g(x), p(x) का एक गुणनखंड है।
प्रश्न 13. 100 और 200 के बीच की विषम संख्याओं का योगफल ज्ञात कीजिए।
4 अंक
Find the sum of odd numbers between 100 and 200.
अथवा (OR)
1 और 100 के बीच उन प्राकृतिक संख्याओं का योग ज्ञात कीजिए, जो 3 से विभाज्य हैं।
Find the sum of natural numbers between 1 and 100 which are divisible by 3.
1 और 100 के बीच उन प्राकृतिक संख्याओं का योग ज्ञात कीजिए, जो 3 से विभाज्य हैं।
Find the sum of natural numbers between 1 and 100 which are divisible by 3.
उत्तर: विषम संख्याएँ: 101, 103, 105, …, 199
यहाँ a = 101, d = 2, l = 199
l = a + (n – 1)d ⇒ 199 = 101 + (n – 1)2 ⇒ 98 = (n – 1)2 ⇒ n – 1 = 49 ⇒ n = 50
योगफल Sn = (n / 2)(a + l) = (50 / 2)(101 + 199) = 25 × 300 = 7500
यहाँ a = 101, d = 2, l = 199
l = a + (n – 1)d ⇒ 199 = 101 + (n – 1)2 ⇒ 98 = (n – 1)2 ⇒ n – 1 = 49 ⇒ n = 50
योगफल Sn = (n / 2)(a + l) = (50 / 2)(101 + 199) = 25 × 300 = 7500
प्रश्न 14. रमेश एक आवर्ती जमा खाता में ₹ 150 प्रति माह की दर से 2 वर्ष के लिए बैंक में जमा करता है। यदि ब्याज की दर 6% वार्षिक हो, तो उसे 2 वर्ष पश्चात कितनी राशि बैंक द्वारा प्राप्त होगी?
5 अंक
A person deposits ₹ 150 per month in a recurring deposit account for 2 years. Find the amount he will get at the time of maturity at the rate of 6% per annum.
अथवा (OR)
अमित ने बैंक में 20,000 रु. 1 वर्ष के लिए सावधि जमा खाते में जमा किया। यदि ब्याज की दर 6% हो और ब्याज की गणना छमाही हो, तो 1 वर्ष पश्चात उसे कितनी राशि प्राप्त होगी?
A person deposited ₹ 20,000 for one year in a fixed deposit account. If the rate of interest is 6% per annum and the interest is compounded every six months, then what amount will he get after one year?
अमित ने बैंक में 20,000 रु. 1 वर्ष के लिए सावधि जमा खाते में जमा किया। यदि ब्याज की दर 6% हो और ब्याज की गणना छमाही हो, तो 1 वर्ष पश्चात उसे कितनी राशि प्राप्त होगी?
A person deposited ₹ 20,000 for one year in a fixed deposit account. If the rate of interest is 6% per annum and the interest is compounded every six months, then what amount will he get after one year?
उत्तर: मासिक किस्त P = ₹ 150, n = 2 वर्ष = 24 माह, r = 6%
ब्याज (I) = P × (r / 100) × [n(n + 1) / (2 × 12)]
I = 150 × (6 / 100) × [24 × 25 / 24] = 150 × 0.06 × 25 = ₹ 225
कुल जमा धन = 150 × 24 = ₹ 3600
परिपक्वता राशि = 3600 + 225 = ₹ 3825
ब्याज (I) = P × (r / 100) × [n(n + 1) / (2 × 12)]
I = 150 × (6 / 100) × [24 × 25 / 24] = 150 × 0.06 × 25 = ₹ 225
कुल जमा धन = 150 × 24 = ₹ 3600
परिपक्वता राशि = 3600 + 225 = ₹ 3825
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