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ICSE Class 8 Maths Papers: Step-by-Step Practice PDF

ICSE Class 8 Maths papers: what this page covers

ICSE Class 8 Maths papers help students practise the type of Mathematics questions usually asked in school-level ICSE Class 8 tests: direct and inverse variation, commercial arithmetic, algebra, geometry, mensuration and data handling. Class 8 is not the ICSE board-examination year; schools normally conduct the Mathematics papers internally while following the CISCE-aligned curriculum and the textbook sequence used in class.

This page keeps the existing PDF resources, explains how to use them without making unsupported claims about a fixed board pattern, and adds worked examples so that a student can revise the method, not just download a paper. Use the PDFs for timed practice, but always match the chapters with your own school’s current syllabus and teacher’s instructions.

ICSE Class 8 Maths Previous Year Papers 2026 PDF links

Students search for ICSE Class 8 Maths Previous Year Papers 2026 when they want paper-style practice for the current study cycle. The files below are the PDF resources preserved from the existing page. Treat them as practice papers hosted on icseboard.org; do not assume that every ICSE school will use the same questions, marks or duration.

Year shown on resourceResource typeTitle preserved from the pagePDF link
2024Mathematics paper resourceFirst Test Mathematics 050725 JulDownload
2023Mathematics paper resource2 Term MathematicsDownload
2018Mathematics paper resourceMathematicsDownload

Teacher’s note: A paper PDF is useful only after you analyse it chapter-wise. While solving, mark each question as Algebra, Commercial Mathematics, Geometry, Mensuration, Statistics or Variation. That one habit shows which chapter is causing errors.

How to read an ICSE Class 8 Maths paper before solving it

Before writing answers, spend a few minutes reading the whole Maths paper. Class 8 Mathematics papers commonly mix short calculations, formula-based questions, word problems and step-based geometry or algebra. The exact school pattern can vary, so avoid memorising a single format.

What you see in the paperWhat it usually testsHow to approach it
Direct numerical questionFormula recall and substitutionWrite the formula first, substitute carefully, then simplify.
Word problemChoosing the correct relationIdentify the quantities, decide whether they vary directly or inversely, then form the equation.
Algebraic simplificationIdentities, signs and like termsOpen brackets line by line and combine only like terms.
Geometry or mensuration questionDiagram reading and unit accuracyDraw or label the figure, write the required formula, and keep units until the final answer.

Concept snapshot: read a Maths paper like a map

Think of a Maths paper as a map with three signs: what is given, what is asked, and which rule connects them. In a variation problem, the connecting rule may be \frac{x}{y} = \text{constant} for direct variation or xy = \text{constant} for inverse variation. If you identify the connecting rule first, the calculation becomes shorter and less confusing.

Maths topic map and formula revision

The Class 8 Maths syllabus used in ICSE schools usually builds the foundation for Class 9 and Class 10 Mathematics. Your school may follow Selina Concise Mathematics, ML Aggarwal or another prescribed ICSE-aligned book, so the chapter order can vary by edition. The concepts below are safe revision areas because they appear across standard Class 8 Mathematics treatments.

AreaWhat to reviseFormula or rule to remember
Direct variationCost and quantity, distance and fuel, wages and work when the rate is fixed\frac{x_1}{y_1} = \frac{x_2}{y_2} when x and y vary directly
Inverse variationWorkers and days, speed and time for fixed distancex_1y_1 = x_2y_2 when x and y vary inversely
Simple interestPrincipal, rate, time, interest and amount\text{S.I.} = \frac{P \times R \times T}{100}, \text{Amount} = P + \text{S.I.}
Profit and lossCost price, selling price, gain, loss and percentage\text{Gain\%} = \frac{\text{Gain}}{\text{C.P.}} \times 100, \text{Loss\%} = \frac{\text{Loss}}{\text{C.P.}} \times 100
AlgebraLinear equations, identities, factorisation and substitutionCheck signs when expanding brackets and verify by substituting the value back.
Mensuration and geometryPerimeter, area, volume, angles, constructions and diagramsUse the correct unit: length in units, area in square units and volume in cubic units.
StatisticsMean, median, mode and graph reading\text{Mean} = \frac{\text{sum of observations}}{\text{number of observations}}

Syllabus-specific insight: For ICSE Class 8 Maths, the safest preparation is concept-wise rather than marks-wise. Unlike Class 10 board papers, Class 8 papers are set by schools, so a fixed chapter-wise weightage should not be treated as universal.

Worked examples from Class 8 Maths practice

The examples below are original practice questions based on standard Class 8 Maths methods. They show the kind of working a teacher expects in a school test: formula, substitution, simplification and final answer.

Worked example 1: Direct variation in distance and fuel

A truck travels 448\text{ km} using 28 litres of diesel. How far will it travel using 64 litres, assuming the diesel consumption rate remains the same?

Step 1: Since more diesel gives more distance at the same rate, this is direct variation.

Step 2: Let the required distance be x\text{ km}.

\frac{28}{448} = \frac{64}{x}

Step 3: Cross-multiply.

28x = 64 \times 448

x = \frac{64 \times 448}{28} = 64 \times 16 = 1024

Final answer: The truck will travel 1024\text{ km}.

Worked example 2: Inverse variation in workers and days

In a school project, 12 students can complete a chart set in 15 days. If 20 students work at the same rate, how many days will they take?

Step 1: More students will take fewer days for the same work, so this is inverse variation.

Step 2: Let the required number of days be x.

12 \times 15 = 20 \times x

Step 3: Solve for x.

x = \frac{12 \times 15}{20} = \frac{180}{20} = 9

Final answer: 20 students will take 9 days.

Worked example 3: Simple interest with amount

Find the simple interest and amount on \text{Rs }5000 at 8\% per annum for 2 years.

Step 1: Write the formula for simple interest.

\text{S.I.} = \frac{P \times R \times T}{100}

Step 2: Substitute P = 5000, R = 8, and T = 2.

\text{S.I.} = \frac{5000 \times 8 \times 2}{100}

\text{S.I.} = 800

Step 3: Add the interest to the principal.

\text{Amount} = P + \text{S.I.} = 5000 + 800 = 5800

Final answer: Simple interest = \text{Rs }800, and amount = \text{Rs }5800.

Worked example 4: Profit percentage

A geometry box is bought for \text{Rs }160 and sold for \text{Rs }200. Find the gain percentage.

Step 1: Identify the cost price and selling price.

\text{C.P.} = 160,\quad \text{S.P.} = 200

Step 2: Find the gain.

\text{Gain} = \text{S.P.} - \text{C.P.} = 200 - 160 = 40

Step 3: Apply the gain percentage formula.

\text{Gain\%} = \frac{\text{Gain}}{\text{C.P.}} \times 100 = \frac{40}{160} \times 100 = 25\%

Final answer: The gain percentage is 25\%.

Examiner’s mindset for Class 8 Maths answers

In Maths, a correct final answer is important, but the method is just as important. A teacher usually looks for these parts in a solution: the correct formula or relation, correct substitution, clear simplification and the final answer with unit where required. The exact marking split varies by school, so do not assume a fixed mark allotment unless your teacher provides it.

For example, in a variation question, writing only 1024\text{ km} is weaker than showing \frac{28}{448} = \frac{64}{x}, cross-multiplication and the final unit. In commercial Maths, a missing \text{Rs} label or a missing percent sign can make an otherwise correct calculation look incomplete.

Common mistakes students make in Maths papers

  • Mixing direct and inverse variation: If both quantities increase together, use direct variation. If one increases while the other decreases for the same work or distance, use inverse variation.
  • Using selling price as the base for gain percentage: Gain or loss percentage is calculated on cost price, so use \text{Gain\%} = \frac{\text{Gain}}{\text{C.P.}} \times 100.
  • Dropping units in mensuration: Area answers need square units and volume answers need cubic units. A number without the correct unit is incomplete.
  • Expanding brackets too quickly: In algebra, signs change when a negative sign is outside the bracket. Write one line of expansion before combining terms.
  • Solving papers without review: Practice is useful only if you check why an answer went wrong. Make an error list chapter-wise after every paper.

How to use the papers for revision

Use the PDF papers as a practice tool, not as a shortcut to prediction. A balanced revision plan for ICSE Class 8 Maths should include textbook examples, exercise practice, paper solving and error correction.

Revision stepWhat to doWhy it helps
Step 1Revise formulas chapter-wise before opening the paper.You avoid guessing the method during the timed attempt.
Step 2Solve one PDF paper without looking at the answer or textbook.It tests recall, speed and presentation together.
Step 3Mark every wrong answer as concept error, calculation error or presentation error.This separates weak understanding from careless arithmetic.
Step 4Redo only the incorrect questions after a gap.Re-attempting wrong questions improves retention more than merely reading the solution.
Step 5Before the next paper, revise the error list for 10 to 15 minutes.Most repeated mistakes reduce when they are seen just before practice.

Practical application: If you have a quarterly or half-yearly test, do not solve a full paper at once on the first day. First solve questions from the chapters already completed in school. When the syllabus portion is complete, attempt the full PDF in one sitting.

Edge case: If your school follows a different textbook order, the same topic may appear in another chapter number. Revise by concept name rather than by chapter number.

Use these internal resources to move from paper practice to chapter-wise revision:

For official curriculum information, use the CISCE official website. For extra conceptual practice on overlapping school-level topics, students may also refer to the NCERT textbook portal, but the chapter order may not match an ICSE textbook.

Frequently Asked Questions

Are ICSE Class 8 Maths papers set by CISCE?

ICSE Class 8 Maths papers are generally set and assessed by the school, while the teaching is aligned with the ICSE/CISCE curriculum followed by the school. The national ICSE board examination is held at Class 10, so Class 8 paper patterns can vary.

How should I use ICSE Class 8 Maths Previous Year Papers 2026 for practice?

Use ICSE Class 8 Maths Previous Year Papers 2026 as timed practice after revising the relevant chapters. After solving, classify every mistake as a formula error, calculation error or presentation error, then redo the incorrect questions.

Which Maths chapters should I revise first for Class 8 papers?

Start with chapters that create step-based questions: direct and inverse variation, simple interest, profit and loss, linear equations, algebraic identities, factorisation, mensuration and statistics. Your school’s syllabus order should decide the exact sequence.

What is the difference between direct and inverse variation in Class 8 Maths?

In direct variation, two quantities increase or decrease together and \frac{x}{y} stays constant. In inverse variation, one quantity increases when the other decreases and xy stays constant.

Do I need Selina or ML Aggarwal solutions while solving these Maths PDFs?

Use your prescribed textbook solution only after attempting the paper yourself. For ICSE Class 8 Maths, the textbook helps you check the method, but paper practice trains speed, step presentation and error control.

Can these Maths papers help for quarterly and half-yearly tests?

Yes, these Maths papers can help if you select questions from the chapters already taught for the quarterly or half-yearly test. Do not practise chapters outside your school’s announced portion before a term test.