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Class 8 Maths Half Yearly Question Paper Full Solutions CBSE Board for the academic session 2026-27 is available here at Future Study Point. Students can practise the Class 8 Mathematics Half Yearly Examination Question Paper based on the new syllabus and Ganita Manjari textbook. Attempt the unsolved question paper given below, then watch the complete step-by-step video solutions embedded at the end of the question paper to check your answers and improve your mathematical concepts.
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MID-TERM EXAMINATION (2026-27)
CLASS : VIII
SUBJECT: MATHEMATICS
सामान्य निर्देश:
निम्नलिखित निर्देशों को बहुत सावधानी से पढ़िए और उनका पालन कीजिए:
- इस प्रश्न पत्र में 16 प्रश्न हैं। सभी प्रश्न अनिवार्य हैं।
- प्रश्न-पत्र पाँच खण्डों में विभाजित है – खण्ड ‘क’, ‘ख’, ‘ग’, ‘घ’ तथा ‘ङ’।
- खण्ड ‘क’ में प्रश्न संख्या 1 में एक-एक अंक के 12 बहु-विकल्पीय प्रश्न हैं।
- खण्ड ‘ख’ में प्रश्न संख्या 2 से 7 तक वस्तुनिष्ठ प्रकार के दो-दो अंकों के प्रश्न हैं।
- खण्ड ‘ग’ में प्रश्न संख्या 8 से 10 तक लघु उत्तरीय प्रकार के तीन-तीन अंकों के प्रश्न हैं।
- खण्ड ‘घ’ में प्रश्न संख्या 11 से 13 तक दीर्घ उत्तरीय प्रकार के पाँच-पाँच अंकों के प्रश्न हैं।
- खण्ड ‘ङ’ में प्रश्न संख्या 14 से 16 तक स्रोत आधारित/प्रकरण अध्ययन आधारित प्रश्न हैं, जिनके उपभागों अंक क्रमशः 1, 1 तथा 2 हैं।
- प्रश्न-पत्र में कोई समग्र विकल्प नहीं दिया गया है। यद्यपि, आंतरिक विकल्प खण्ड ‘ख’ के 1 प्रश्न में, खण्ड ‘ग’ के 1 प्रश्न में, खण्ड ‘घ’ के 2 प्रश्नों तथा खण्ड ‘ङ’ में स्रोत आधारित प्रकरण आधारित वाले प्रश्नों के प्रत्येक दो-दो अंकों वाले उपभाग में दिया गया है। आपको ऐसे सभी प्रश्नों में से केवल एक ही विकल्प हल करना है।
जहाँ आवश्यक हो, स्वच्छ आकृतियाँ बनाइए। यदि आवश्यक हो तो π = 227 लीजिए, यदि अन्यथा न दिया हो।
कैलकुलेटर का उपयोग वर्जित है।
GENERAL INSTRUCTIONS:
Read the following instructions carefully and follow them:
- This question paper contains 16 questions. All questions are compulsory.
- Question paper is divided into FIVE sections – Section A, B, C, D and E.
- In Section A – question number 1 have 12 multiple choice questions (MCQs) of 1 mark each.
- In Section B – question numbers 2 to 7 are Objective type questions of 2 marks each.
- In Section C – question numbers 8 to 10 are Short Answer (SA) type questions carrying 3 marks each.
- In Section D – question numbers 11 to 13 are Long Answer (LA) type questions carrying 5 marks each.
- In Section E – question numbers 14 to 16 are source based/case study questions whose subparts are of 1, 1 and 2 marks respectively.
- There is no overall choice. However, an internal choice has been provided in 1 question in Section B, 1 question in Section C and 2 questions in Section D, and in each subpart of source based/case study question carrying 2 marks in Section E. You have to attempt only one of the alternatives in such questions.
Draw neat figures wherever required. Take π = 227 wherever required if not stated.
(Page 1 of the question paper — general instructions and cover details)
SECTION-A
Question 1 consists of Multiple-Choice questions (i-xii) of 1 mark each. Choose the appropriate option from the given options :
(12×1=12)
1.
(i) 46 in roman numerals is written as : (1)
| (a) XLIV | (b) XLVI |
| (c) LXVI | (d) XXXXVI |
(ii) The algebraic expression of the statement ‘sum of square of two variables’ is : (1)
| (a) m² + n² | (b) (m + n)² |
| (c) m² + (m + 1)² | (d) 2m² + 2n² |
vii) A quadrilateral that has exactly one pair of parallel opposite sides is :
(a)Parallelogram
(b)Rhombus
(c)Trapezium
(d)Rectangle
(viii)The missing number in the blank space so that the ratio 12 : is proportional to 18 : 24 is :
(a)4
(b)36
(c)16
(d)18
(ix)If 122 = 144, then the value of (1.2)2 is :
(a)1.44
(b)14.4
(c)0.144
(d)0.0144
(x)The number which has digit 6 in the units place is :
(a)382
(b)342
(c)822
(d)232
(xi)The formula used to calculate 932 is :
(a)902 + 32
(b)1002 – 72
(c)(100 + 7) (100 – 7)
(d)(100 – 7)2
(xii)The correct statement about the diagonals, of a rectangle is :
(a)They are perpendicular to each other.
(b)They bisect each other and are equal in length.
(c)They do not bisect each other.
(d)They bisect each other but not equal in length.
SECTION-B (6×2=12)
Question 2 to 7 is Objective type questions of 2 marks each.
2.In a school library, the ratio of Mathematics books to Science books is same as the ratio of English books to History books. If there are 300 books in Mathematics, 300 in History, 450 books in English find the number of book in Science. (2)
- Check whether 324 is a perfect square.
-
Simplify and write in exponential form :
82 ÷ 24ORIdentify which is greater 28 or 82?
- Write 3624 in Chinese number system.
- If 3y15 is a multiple of 9 where y is a digit, then find two values of y.
SECTION-C
- (3) Multiply 3279 by 101 using distributive property.
-
Construct a kite whose diagonals are of length 6 cm and 8 cm.
OR
Find all the remaining angles of quadrilateral.
10. A car travels 90 km in 150 minutes. If it continues at the same speed, then what distance will it cover in 3 hours? (3)
SECTION-D (3×5=15)
Question 11 to 13 is Long Answer type questions of 5 marks each.
11.Find the smallest number by which 5808 must be multiplied so that the product is a perfect square. Find the square root of the product also. (5)
A rectangular community garden is being planned. The layout consists of three identical square vegetable patches, each with a side length of ‘a’ metres arranged side by side in a row. A general pathway of uniform width of ‘x’ metres completely surrounds the entire row. Write an algebraic expression for total area of gravel pathway.
Find a number that leaves a remainder of 2 when divided by 3, a remainder of 3 when divided by 4 and a remainder of 4 when divided by 5. What is the smallest such number? Find two such numbers.
SECTION-E
Riya is baking cup cakes for a school sale. She starts with 1 recipe on day 1. Everyday the number of cupcakes she bakes doubles. The total no of cupcakes she has baked by any day ‘n’ can be written using exponents as 2n.
Based on the above information, answer the following questions :
15.Vedant wanted to make a refreshing batch of lemonade for a family celebration. initially prepared 6 glasses of lemonade in a large vessel and mixed in exactly 10 spoon of sugar to get the perfect sweetness. Later, a few more guests arrived, so he prepared more glasses to lemonade with the exact same level of sweetness.
Based on the above information, answer the following questions:
(i) Find the initial ratio of the number of glasses of lemonade to the spoons of sugar used.
(ii) Find the number of spoons of sugar Vedant needs to add for the 18 new glasses.
(iii) (A) If Vedant added 40 spoons of sugar, how many glasses of lemonade could he prepare?
OR
(B) If the number of initial glasses is doubled, how many spoons of sugar are required?
16. A carpenter wants to create a perfect rectangular wooden frame for a window. She takes two thin wooden strips, AC and BD to act as the diagonals the frame and connects them at their point of intersection, O, using a pin. She ensures that strip AC = 8 cm.
Based on the above information, answer the following questions:
(i) What must be the length of the second wooden strip BD?
(ii) If the diagonals cross exactly at their midpoints, what is the length of OA?
(iii) (A) If the carpenter fixes the strips such that ∠AOB = 60°, find the measure of ∠OAB.
OR
(B) If the carpenter wants to transform this rectangular frame into a square frame, what specific property must the diagonals satisfy regarding the angle at which they intersect? Write one property for sides of a square also.
Class 8 Maths Half Yearly Exam Question Paper 2026-27 with Full Solutions | CBSE Ganita Manjari
Introduction
Are you searching for the Class 8 Maths Half Yearly Exam Question Paper 2026-27 with Full Solutions based on the CBSE new syllabus?
Welcome to Future Study Point, where students can strengthen their mathematical concepts through easy explanations, step-by-step solutions, and exam-oriented practice.
In this article, we provide detailed solutions to the Class 8 Mathematics Half Yearly Examination Question Paper for the academic session 2026-27, with a focus on the new NCERT Mathematics textbook, Ganita Manjari.
Students preparing for their school examinations can use this question paper to understand important mathematical concepts, practise different types of questions, and improve their problem-solving skills.
Whether you are preparing for your upcoming half-yearly examination or checking your answers after completing the exam, this article and its accompanying video will help you understand the solutions clearly.
Class 8 Maths Half Yearly Exam Question Paper 2026-27 – Overview
| Particulars | Details |
|---|---|
| Class | 8 |
| Subject | Mathematics |
| Academic Session | 2026-27 |
| Board | CBSE |
| Textbook | Ganita Manjari |
| Examination | Half Yearly Examination |
| Study Material | Question Paper with Solutions |
| Solution Format | Step-by-Step Video Explanation |
| Provided By | Future Study Point |
Class 8 Maths Half Yearly Question Paper 2026-27
The Class 8 Maths Half Yearly Examination Question Paper has already been provided above for students to read and practise.
We recommend that students first attempt the complete question paper independently before watching the solutions.
This approach will help you identify your mistakes, improve your calculation skills, and develop confidence in solving mathematical problems.
Watch Class 8 Maths Half Yearly Exam Full Video Solutions 2026-27
Finding the correct answer is important, but understanding how to solve a mathematical question is even more valuable.
To help students understand every question, Future Study Point has prepared a detailed YouTube video explaining the solutions to the Class 8 Maths Half Yearly Exam Question Paper 2026-27.
Watch the complete video solution below.
What Will You Learn from This Video?
In this video, students will learn:
- Step-by-step solutions to the given half-yearly examination question paper.
- Easy methods for solving mathematical problems.
- Important concepts related to the Class 8 Maths new syllabus.
- How to present mathematical answers correctly in school examinations.
- Common mistakes students should avoid while solving questions.
- Useful techniques for improving accuracy and calculation speed.
Important: Watch the full video rather than skipping directly to the final answers. Understanding each step will help you solve similar questions independently in future examinations.
Class 8 Maths New Syllabus 2026-27 – Ganita Manjari
The new Class 8 Mathematics textbook, Ganita Manjari, encourages students to develop conceptual understanding, logical reasoning, mathematical thinking, and problem-solving skills.
Students should focus not only on memorising formulas but also on understanding their applications.
At Future Study Point, our objective is to explain mathematical concepts in simple language so that every student can learn Maths with confidence.
Our video solutions are especially useful for students who want additional support while studying the new Class 8 Mathematics syllabus.
How to Prepare for Class 8 Maths Half Yearly Examination
Follow these useful preparation tips:
- Read and understand the mathematical concepts from your prescribed textbook.
- Practise all relevant textbook exercises.
- Solve the half-yearly question paper without looking at the answers.
- Watch our complete video solutions to understand difficult questions.
- Write down important formulas and mathematical methods in a separate notebook.
- Revise questions in which you made mistakes.
- Practise regularly to improve your speed and accuracy.
Remember, Mathematics becomes easier when you understand the concepts and practise consistently.
Frequently Asked Questions (FAQs)
Q1. Where can I find the Class 8 Maths Half Yearly Exam Question Paper 2026-27?
You can find the Class 8 Maths Half Yearly Examination Question Paper 2026-27 on Future Study Point, along with its detailed video solutions.
Q2. Are video solutions available for the complete question paper?
Yes. Students can watch the embedded YouTube video provided in this article to understand the solutions to the given question paper.
Q3. Is this material useful for CBSE Class 8 students studying Ganita Manjari?
Yes. Students following the relevant Class 8 Mathematics syllabus can use this material for additional question-paper practice and concept revision.
Q4. How should I use this question paper for exam preparation?
First, solve the question paper independently. After completing it, watch the video solutions, compare your answers, identify your mistakes, and revise the concepts you find difficult.
Q5. Where can I find more Class 8 Maths video solutions?
Visit our YouTube channel, Future Study Point (@futurestudypoint), for additional Mathematics lessons, question-paper solutions, important questions, and exam preparation videos.
Conclusion
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