School Assignments for Class 8 Mathematics: All Chapters
Access comprehensive school assignments for All Chapters using the CBSE Class 8 Mathematics Factorisation Percentage and Linear Equations Assignment Set 02. Designed to align with the 2026-27 CBSE academic guidelines, these practice sets help Class 8 Mathematics students reinforce core concepts and improve their problem-solving accuracy.
Practice Class 8 Mathematics Assignments: All Chapters
View or download the dedicated CBSE Class 8 Mathematics Factorisation Percentage and Linear Equations Assignment Set 02 resource below. Engaging with these assignments under focused study conditions ensures continuous academic progress and mastery of the 2026-27 curriculum.
Section A: Factorisation
1. Factorise.
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Answer: (i) 12a²b² - 24a²b²c² + 8b = 4b(3a²b - 6a²bc² + 2)
(ii) a(x - y) + b(y - x) + c(x - y) = (x - y)(a - b + c)
(iii) 5(x - y)² - 10(y - x) = 5(x - y)² + 10(x - y) = 5(x - y)(x - y + 2)
(iv) ab(p - 1) - ac(p - 1) = a(p - 1)(b - c)
(v) (a - b)(2b + 3) + (a - b)(2b - 3) = (a - b)(4b) = 4b(a - b)
Teacher's Note: Take out the common factor first.
2. Factorise.
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Answer: (i) ab - 3b + 3c - ac = b(a - 3) - c(a - 3) = (a - 3)(b - c)
(ii) (x + 2y)² - 4x - 8y = (x + 2y)² - 4(x + 2y) = (x + 2y)(x + 2y - 4)
(iii) 25y² - x² = (5y - x)(5y + x)
Teacher's Note: Give an example if the question allows.
Section A: Percentages and Equations
3. Express as a fraction, a ratio and a decimal: (i) 42% (ii) 65%.
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Answer:
| Fraction | Ratio | Decimal | |
|---|---|---|---|
| 42% | 21/50 | 21 : 50 | 0.42 |
| 65% | 13/20 | 13 : 20 | 0.65 |
Teacher's Note: Write a short, clear answer.
4. Convert the ratio into a percentage: (i) 2 : 5 (ii) 3 : 5.
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Answer: (i) 2/5 x 100 = 40%. (ii) 3/5 x 100 = 60%.
Teacher's Note: Remember this for your exam.
5. Find (i) 24% of 650 (ii) 75% of 400.
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Answer: (i) 24/100 x 650 = 156. (ii) 75/100 x 400 = 300.
Teacher's Note: Learn this point and write it in your own words.
6. 6(i). Solve 2x - 5 = 3x + 5.
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Answer: Move the terms: -5 - 5 = 3x - 2x, so x = -10. Check: 2(-10) - 5 = -25 and 3(-10) + 5 = -25.
Teacher's Note: Use the key term in your answer.
Section B: Word Problems
2. Two numbers are in the ratio 4 : 5. If 6 is added to the first and 8 to the second, the ratio becomes 11 : 14. Find the numbers.
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Answer: Let the numbers be 4k and 5k. Then (4k + 6)/(5k + 8) = 11/14, so 56k + 84 = 55k + 88 and k = 4. The numbers are 16 and 20.
Teacher's Note: Give an example if the question allows.
3. The sum of three consecutive multiples of 3 is 333. Find them.
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Answer: Let them be 3n, 3n + 3 and 3n + 6. The sum is 9n + 9 = 333, so n = 36. The multiples are 108, 111 and 114.
Teacher's Note: Write a short, clear answer.
4. The sum of two numbers is 43 and their difference is 13.
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Answer: The larger number is (43 + 13)/2 = 28 and the smaller is (43 - 13)/2 = 15.
Teacher's Note: Remember this for your exam.
5. Three consecutive integers add up to 54.
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Answer: Let them be n, n + 1 and n + 2. Then 3n + 3 = 54 and n = 17. The integers are 17, 18 and 19.
Teacher's Note: Learn this point and write it in your own words.
6. Suresh got 70% marks by obtaining 525 marks. Find the maximum marks.
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Answer: 70% of the total = 525, so the total = 525 x 100/70 = 750.
Teacher's Note: Use the key term in your answer.
7. Ashish's monthly income is Rs 9600 and expenditure is 60%. Find his saving.
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Answer: Saving = 40% of 9600 = Rs 3,840.
Teacher's Note: Give an example if the question allows.
8. A cricket bat sold for Rs 570 gives a loss of 5%. For how much should it be sold to gain 6%?
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Answer: CP = 570 x 100/95 = Rs 600. For a gain of 6%, SP = 600 x 106/100 = Rs 636.
Teacher's Note: Write a short, clear answer.
Section B: Identities
9. Find the product: (i) (y + 4)(y - 4) (ii) (3x + 2z)(3y - 2z).
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Answer: (i) y² - 16. (ii) 9xy - 6xz + 6yz - 4z².
Teacher's Note: Remember this for your exam.
10. Multiply using identities: (i) (2a - 3b)² (ii) (9z + 2)(9z - 2) (iii) (4y + 3z)².
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Answer: (i) 4a² - 12ab + 9b². (ii) 81z² - 4. (iii) 16y² + 24yz + 9z².
Teacher's Note: Learn this point and write it in your own words.
Free study material for Mathematics
Chapter Assignment & Practice Material for Class 8 Mathematics All Chapters
Download Assignment: All Chapters (Class 8 Mathematics)
Review targeted chapter assignments for Class 8 Mathematics All Chapters. Built according to official CBSE guidelines, these downloadable problem sets help students build accuracy and prepare effectively for school tests.
Why Practice Class 8 Mathematics Assignments?
- Syllabus Compliance: Sets reflect current CBSE evaluation criteria and official marking frameworks.
- Multi-Format Practice: Includes varied problem types designed to deepen comprehension across all sub-topics.
- Time Management: Routine practice optimizes pacing to finish school examinations comfortably within schedule.
Effective Strategy for Class 8 Mathematics Assignments
- Concept Foundation: Review the NCERT book for Class 8 Mathematics thoroughly before diving into assignment tasks.
- Self-Evaluation: Solve exercises independently before inspecting professional answer guides.
- Progress Monitoring: Note down complex formulas or concepts, clearing them up using available online practice aids.
FAQs
You can download free PDF assignments for Class 8 Mathematics All Chapters from StudiesToday.com. These practice sheets have been updated for the 2026-27 session covering all concepts from latest NCERT textbook.
Yes, our teachers have given solutions for all questions in the Class 8 Mathematics All Chapters assignments. This will help you to understand step-by-step methodology to get full marks in school tests and exams.
Yes. These assignments are designed as per the latest CBSE syllabus for 2026. We have included huge variety of question formats such as MCQs, Case-study based questions and important diagram-based problems found in All Chapters.
Practicing topicw wise assignments will help Class 8 students understand every sub-topic of All Chapters. Daily practice will improve speed, accuracy and answering competency-based questions.
Yes, all printable assignments for Class 8 Mathematics All Chapters are available for free download in mobile-friendly PDF format.