What are ICSE Class 8 Maths Quarterly Tests?
ICSE Class 8 Maths quarterly tests are school-level Mathematics assessments used by CISCE-affiliated schools to check how well students understand the topics taught in the first part of the academic year. They are not central board examinations conducted by CISCE; the exact marks, duration, sections and chapter coverage are decided by each school.
This page keeps the downloadable Maths quarterly test papers already hosted on ICSE Board and turns the page into a usable revision guide: what to revise, how to read a paper, which formulas to know, how to solve representative problems, and where students usually lose steps.
Download Maths Quarterly Tests PDF
The following PDF links are preserved from the existing ICSE Board resource table. Use them as practice papers, not as a promise that your school will repeat the same questions or follow the same marks distribution.
| Year | Paper type | Title | Download |
|---|---|---|---|
| 2023 | Quarterly Test | First Term Mathematics | Download |
| 2019 | Quarterly Test | Qty Mathematics | Download |
| 2018 | Quarterly Test | Qty Mathematics | Download |
ICSE Class 8 Maths Quarterly Tests 2026-27: how to use this page
ICSE Class 8 Maths Quarterly Tests 2026-27 should be prepared from your school’s taught syllabus first. The PDFs on this page help you practise question style, but your teacher’s chapter list and your school diary are the final guide for what will be tested in your quarterly exam.
Concept snapshot: treat a Maths paper like a map
A quarterly test paper is like a route map. The formulas are the roads, but you still need to choose the correct road for each question. If a problem says “cost of more articles”, think direct variation. If it says “more workers finish the same work”, think inverse variation. If it says “profit”, “loss” or “discount”, first identify \text{C.P.}, \text{S.P.} and \text{M.P.} before calculating anything.
Use each downloaded paper in two rounds. In the first round, solve it without help and mark the questions that took too long. In the second round, revise only those chapters and solve the same paper again. This method turns the PDF from a “paper collection” into a diagnosis of your weak topics.
Topics to revise in Class 8 Maths
Different schools may complete chapters in a different order. Still, the following topic groups are useful for most ICSE Class 8 Maths quarterly test revision because they build the skills used in arithmetic, algebra, geometry and data-based questions.
| Topic group | What to practise | How it is usually tested |
|---|---|---|
| Commercial arithmetic | Profit, loss, discount and simple interest | Word problems where you identify \text{C.P.}, \text{S.P.}, \text{M.P.}, rate and time |
| Direct and inverse variation | Checking constant ratio or constant product; finding an unknown value | Tables, unitary method and practical problems involving cost, distance, workers or time |
| Algebra | Linear equations, identities and substitution | Step-by-step simplification where one wrong sign changes the answer |
| Geometry and mensuration | Angles, constructions, perimeter, area and volume formulas taught by the school | Diagram-based questions and formula substitution problems |
| Data handling | Reading tables, bar graphs or simple statistical data | Questions that ask for totals, comparisons, differences and conclusions from data |
Syllabus-specific insight: Class 8 is a foundation year for later ICSE Mathematics. Teachers usually look for clear working, not only the final number. For example, in a variation problem, writing the correct relation before substitution shows that you understood the type of variation.
Formula sheet for Maths quarterly tests
Keep formulas in one page and revise them before every timed practice session. The formulas below are common in Class 8 commercial arithmetic and variation problems; use the exact symbols taught by your textbook or teacher.
| Concept | Formula | Meaning of symbols |
|---|---|---|
| Simple interest | \text{S.I.}=\dfrac{P \times R \times T}{100} | P is principal, R is rate percent per annum, T is time in years |
| Amount with simple interest | \text{Amount}=P+\text{S.I.} | Total money after interest is added |
| Gain percent | \text{Gain\%}=\dfrac{\text{Gain}}{\text{C.P.}}\times 100 | \text{Gain}=\text{S.P.}-\text{C.P.} |
| Loss percent | \text{Loss\%}=\dfrac{\text{Loss}}{\text{C.P.}}\times 100 | \text{Loss}=\text{C.P.}-\text{S.P.} |
| Selling price with gain | \text{S.P.}=\text{C.P.}\times\dfrac{100+\text{Gain\%}}{100} | Use only when gain percent is known |
| Direct variation | \dfrac{x_1}{y_1}=\dfrac{x_2}{y_2} | The ratio stays constant |
| Inverse variation | x_1y_1=x_2y_2 | The product stays constant |
Edge case: In simple interest, T must match the unit of the rate. If R is given per annum, convert months into years before using the formula. For example, 6 months is \frac{6}{12}=\frac{1}{2} year.
Worked examples for ICSE Class 8 Maths
The following examples are original practice questions written in the same skill areas students commonly meet in ICSE Class 8 Maths tests. Each solution shows the relation, substitution and final answer.
Worked example 1: direct variation in cost
Question: If 18 notebooks cost Rs. 450, find the cost of 32 similar notebooks.
Step 1: The number of notebooks and the total cost vary directly, because more notebooks cost more money at the same rate.
Step 2: Let the cost of 32 notebooks be Rs. x.
\frac{18}{450}=\frac{32}{x}
Step 3: Cross-multiply.
18x=32\times 450
x=\frac{32\times 450}{18}=32\times 25=800
Final answer: The cost of 32 notebooks is Rs. 800.
Worked example 2: inverse variation in time and workers
Question: 12 workers can finish a piece of work in 15 days. How many days will 20 workers take to finish the same work, assuming all workers work at the same rate?
Step 1: The number of workers and the number of days vary inversely. More workers take fewer days for the same work.
Step 2: Let 20 workers take x days.
12\times 15=20\times x
Step 3: Solve for x.
180=20x
x=\frac{180}{20}=9
Final answer: 20 workers will take 9 days.
Worked example 3: discount and profit percent
Question: An article has a marked price of Rs. 900. A shopkeeper gives a discount of 12\%. If the cost price is Rs. 640, find the selling price and the profit percent.
Step 1: First find the discount.
\text{Discount}=\frac{12}{100}\times 900=108
Step 2: Subtract the discount from the marked price to get the selling price.
\text{S.P.}=900-108=792
Step 3: Find the profit.
\text{Profit}=\text{S.P.}-\text{C.P.}=792-640=152
Step 4: Find the profit percent using cost price as the base.
\text{Profit\%}=\frac{152}{640}\times 100=23.75\%
Final answer: The selling price is Rs. 792 and the profit percent is 23.75\%.
Exam relevance and paper-reading method
Examiner’s mindset
In school Mathematics tests, credit is usually given for the correct method as well as the final answer. A teacher can follow your work only when you write the formula or relation, substitute values correctly, simplify step by step, and give the final answer with the correct unit. Do not jump from the question directly to the answer, especially in commercial arithmetic and variation problems.
Before you start writing, spend a few minutes reading the whole paper. Mark the questions that are direct formula substitutions and do them first. Leave longer word problems for the second round. This helps you avoid spending too much time on a single problem at the beginning.
| When the question says | Think of | First line to write |
|---|---|---|
| “Cost of more items” or “distance covered with more fuel” | Direct variation | \dfrac{x_1}{y_1}=\dfrac{x_2}{y_2} |
| “More workers for the same work” | Inverse variation | x_1y_1=x_2y_2 |
| “Profit” or “loss” | Commercial arithmetic | Identify \text{C.P.} and \text{S.P.} |
| “Rate per annum” with months | Simple interest | Convert months to years before using \text{S.I.} |
Practical application: After solving a PDF, make a two-column error log. In the first column, write the mistake, such as “used \text{S.P.} as the base for profit percent”. In the second column, write the correction, such as “profit percent is always calculated on \text{C.P.}”. Revise this log before the next paper.
Common mistakes in Maths quarterly tests
Common mistakes students make
- Using the wrong base in percentage: Profit percent and loss percent are calculated on \text{C.P.}, not on \text{S.P.}. The correction is \text{Profit\%}=\dfrac{\text{Profit}}{\text{C.P.}}\times 100.
- Confusing direct and inverse variation: If both quantities increase together, check direct variation. If one increases while the other decreases for the same work, check inverse variation.
- Forgetting time conversion: In \text{S.I.}=\dfrac{P\times R\times T}{100}, if R is per annum and time is in months, convert months to years first.
- Skipping units: A final answer such as 1024 is incomplete if the question asks for distance. Write 1024\text{ km}.
- Copying numbers incorrectly from tables: In data-handling questions, read row and column headings before adding or comparing values.
Practice plan for Maths
A good practice plan for Maths is short, repeated and checked. Long sessions without correction often repeat the same mistakes.
- Day 1: Revise formulas for commercial arithmetic and solve ten short problems.
- Day 2: Practise direct and inverse variation tables. For each table, check whether the ratio or product is constant.
- Day 3: Solve one downloaded quarterly test under timed conditions set by your school or teacher.
- Day 4: Correct the paper and rewrite every wrong solution neatly.
- Day 5: Re-attempt only the questions you got wrong, without looking at the earlier working.
For school revision, combine this page with the ICSE Class 8 syllabus page and the ICSE Class 8 books page. For more practice after quarterly tests, use Class 8 Mathematics previous year papers and Class 8 Mathematics half-yearly tests.
Related ICSE Class 8 resources
Use these pages to move from topic revision to full-paper practice:
- ICSE Class 8 home for the full subject list.
- Class 8 Quarterly Tests for all subjects for subject-wise school test practice.
- Class 8 Mathematics assessment papers for additional Maths practice.
- Class 8 Mathematics half-yearly tests for the next exam stage.
Sources and accuracy note
This study guide is based on CISCE-aligned school Mathematics practice, archived ICSE Board PDF resources on this page, and standard Class 8 Mathematics treatment of commercial arithmetic and direct/inverse variation. For official board information, refer to the official CISCE website. For concept overlap, NCERT Class 8 Mathematics also treats direct and inverse proportions using the same constant-ratio and constant-product ideas.
No fixed marks, duration or chapter-wise weightage has been stated as an official Class 8 rule because quarterly tests are set by individual schools. Follow your school paper instructions for the final marks and timing.
Frequently Asked Questions
Is ICSE Class 8 Maths a board exam subject?
ICSE Class 8 Maths is studied in CISCE-affiliated schools, but Class 8 quarterly tests are school-level assessments. The ICSE board examination is conducted at Class 10, so Class 8 tests prepare students for the skills and presentation needed later.
Which chapters should I revise first for ICSE Class 8 Maths Quarterly Tests 2026-27?
Revise the chapters your school has completed first. For most Maths quarterly test practice, give extra attention to commercial arithmetic, direct and inverse variation, algebra basics, mensuration and data handling, because these topics combine formulas with step-by-step working.
How do I identify direct variation and inverse variation in Class 8 Maths?
In direct variation, the ratio stays constant, so use \dfrac{x_1}{y_1}=\dfrac{x_2}{y_2}. In inverse variation, the product stays constant, so use x_1y_1=x_2y_2. More cost for more articles is usually direct variation; more workers taking fewer days for the same work is usually inverse variation.
Can I use a calculator in a Class 8 Maths quarterly test?
Calculator rules are decided by the school for Class 8 Maths quarterly tests. In most school practice, students are expected to do arithmetic manually, so practise fractions, decimals and percentage calculations without a calculator unless your teacher allows one.
What should I do after downloading the Maths quarterly test PDFs?
Print or open one PDF, set the time limit given by your school or teacher, and solve it without looking at notes. After checking, rewrite every wrong solution with the correct formula and one full step of working, especially for \text{S.I.}, profit percent and variation problems.