ICSE Class 8 Quarterly Tests Mathematics: 3 Papers

Download icse class 8 quarterly tests mathematics papers from three school examinations. The table below provides three test PDFs covering the 2018 quarterly, 2019 quarterly, and 2023 first-term exams. These papers help Class 8 students practise the exact question types that appear in school-level assessments.

Download ICSE Class 8 Mathematics Quarterly Tests PDF

These are the 3 quarterly tests PDFs hosted on icseboard.org for ICSE Class 8 Mathematics, organised by subject. Each section below explains what those papers cover before the download table.

This group contains three Class 8 mathematics test papers from 2018, 2019, and 2023. The papers cover factorisation of polynomials, algebraic identities, square roots by the division method, exponents, geometry construction, and Venn diagrams. Each paper is an 80-mark school-level exam with Section A and Section B questions.

What These Class 8 Maths Test Papers Cover

Each paper tests the first-term syllabus, so the questions focus on algebra, arithmetic, and geometry. The 2018 paper asks students to factorise polynomials and evaluate expressions using algebraic identities. The 2019 paper covers parallelogram properties, polygon angles, and polynomial division. The 2023 first-term paper includes exponents, simple interest, and linear inequations.

Across all three years, the papers combine multi-part questions. A single question often mixes a 3-mark algebra part with a 4-mark geometry or arithmetic part. This format mirrors the structure of the main ICSE board exam, so practising these tests builds the pacing and presentation habits students need later.

Exam Pattern and Marks Distribution

The three papers share an 80-mark total but differ in time allowed. Each paper splits into Section A and Section B, with questions carrying sub-parts of 3 or 4 marks each.

The 2019 paper allows 2 hours plus 15 minutes reading time, while the 2023 paper allows 2 hours 30 minutes. Students should time themselves using the duration printed on whichever paper they attempt.

Recurring Topics Across the Three Papers

Certain topics appear repeatedly across the 2018, 2019, and 2023 tests. Focusing revision on these areas gives students the best return on effort.

• Factorisation of polynomials — asked in 2018 and 2019, including expressions like x^4 – y^4 + x^2 – y^2.
• Algebraic identities — 2018 uses identities to evaluate products such as 105 \times 107; 2023 asks for (7x + 5)(7x – 5).
• Square roots by division method — 2018 finds the square root of 5.462 to two decimal places; 2019 finds the square root of 7.
• Exponents and powers — 2018 simplifies an expression with 5^{n+2}; 2023 evaluates 5^3 \times 5^7 \div (5^4)^2.
• Geometry construction — 2018 constructs a triangle with \angle P = 120^\circ; 2023 constructs a quadrilateral with given sides and \angle ABC = 60^\circ.
• Venn diagrams and sets — 2018 draws a Venn diagram for boys playing cricket and football.

Worked Examples for Recurring Question Types

Evaluating a Product Using Identities

The 2018 paper asks students to evaluate 105 \times 107 using a suitable identity. This is a standard identity question.

Write the product as 105 \times 107 = (100 + 5)(100 + 7). Apply the identity (a + b)(a + c) = a^2 + a(b + c) + bc. Here a = 100, b = 5, and c = 7. So the expression becomes 100^2 + 100(5 + 7) + (5)(7). That gives 10000 + 1200 + 35 = 11235.

Finding a Square Root to Two Decimal Places

The 2019 paper asks for the square root of 7 correct to two decimal places. Use the division method.

1. Pair the digits from left to right: 7.0000 gives the pairs 7 and 00 and 00.
2. The largest square under 7 is 4, so the first digit is 2 and the remainder is 3.
3. Bring down 00 to get 300. Double the quotient (2) to get 4. Find a digit d such that (40 + d) \times d \leq 300. Since 46 \times 6 = 276, the next digit is 6.
4. Bring down 00 to get 2400. Double the quotient 26 to get 52. Find (520 + d) \times d \leq 2400. Since 524 \times 4 = 2096, the next digit is 4.
5. Bring down 00 to get 30400. Double the quotient 264 to get 528. Find (5280 + d) \times d \leq 30400. Since 5285 \times 5 = 26425, the next digit is 5.

The square root of 7 is approximately 2.65.

Simplifying an Exponent Expression

The 2023 paper asks for 5^3 \times 5^7 \div (5^4)^2. Apply the laws of exponents step by step.

First, add the exponents in the numerator: 5^3 \times 5^7 = 5^{10}. Next, simplify the denominator: (5^4)^2 = 5^8. Now divide: 5^{10} \div 5^8 = 5^{10-8} = 5^2 = 25.

How to Use These Papers for Exam Preparation

Start by attempting one paper under timed conditions. For the 2019 paper, set a timer for 2 hours and use the first 15 minutes only for reading. For the 2023 paper, set a timer for 2 hours 30 minutes. Do not look at the textbook or solutions while writing.

After finishing, check each answer against your textbook working. Mark the questions you got wrong and note the topic. If you missed a factorisation question, revise the identities a^2 – b^2 = (a+b)(a-b) and (a+b)^2 = a^2 + 2ab + b^2. If you struggled with square roots, practise the division method with numbers like 6, 8, and 10.

For more subject-wide resources, see the Class 8 ICSE hub or browse the full Class 8 book list. You can also check the official CISCE website for syllabus updates and circulars.

Common Mistakes Students Make in These Papers

• Skipping the reading time — the 2019 paper gives 15 minutes to read before writing. Use this time to plan which Section B questions to attempt.
• Not showing identity steps — in identity evaluation questions, writing only the final answer loses method marks. State the identity, substitute the values, then solve.
• Stopping square roots at one decimal place — both 2018 and 2019 ask for two decimal places. Bring down enough zero pairs and round correctly.
• Forgetting units in geometry construction — always write the measurements (cm or mm) when stating what you constructed.
• Mixing up exponent laws — when multiplying powers with the same base, add the exponents. When raising a power to a power, multiply the exponents. Students often reverse these two rules.

Marking Guidance From the Mark Tags

The papers use mark tags like [3], [4], and [2×3=6] to show how many marks each part carries. A 3-mark question needs a clear method and a correct final answer. A 4-mark question needs full working with each step shown, especially in construction and multi-part arithmetic problems.

For a question tagged [2×3=6], the student must solve two sub-parts, each worth 3 marks. Leaving one sub-part blank loses 3 marks. Always attempt every sub-part, even if you are unsure, because partial working can earn a mark.

Frequently Asked Questions

How many test papers are available for download?

Three papers are available: the 2018 quarterly, the 2019 quarterly, and the 2023 first-term examination. Each is an 80-mark paper.

Do all three papers have the same time limit?

No. The 2019 paper allows 2 hours plus 15 minutes reading time, while the 2023 paper allows 2 hours 30 minutes. The 2018 paper’s time limit is not stated in the available excerpt, so check the paper itself after downloading.

What topics should I revise before attempting these papers?

Focus on factorisation, algebraic identities, square roots by the division method, exponents, geometry construction, and Venn diagrams. These topics recur across the 2018, 2019, and 2023 papers.

Are solutions provided with these papers?

No. The downloads contain the question papers only. Students should solve the questions using their Class 8 textbook and classroom notes, then verify answers with their teacher.

Can I use these papers for ICSE board exam practice?

These are school-level quarterly and first-term tests, not the official ICSE board exam. However, the question format and topic coverage align with the CISCE Class 8 syllabus, so they are useful for building exam habits.

More ICSE study material on this site

• Class 8
• Class 8 Books
• ICSE Books PDF Free
• ICSE Books

Reference: CISCE-aligned ICSE Class 8 textbook material.