ICSE Class 11 Quarterly Tests Mathematics
Download icse class 11 quarterly tests mathematics papers from 2018 and 2019. The table below provides two quarterly test PDFs for ISC Class XI Maths students. Each file is a full exam paper you can use for timed practice before your school tests.
These papers show the real question style and mark distribution commonly used for internal quarterly exams. You can also check our main Class 11 hub for other subjects, or browse the full ICSE books collection. For official curriculum updates, visit the CISCE official site.
Download ICSE Class 11 Mathematics Quarterly Tests PDF
These are the 2 quarterly tests PDFs hosted on icseboard.org for ICSE Class 11 Mathematics, organised by subject. Each section below explains what those papers cover before the download table.
Two ISC Class 11 Maths quarterly test papers from 2018 and 2019. They cover sets, quadratic equations, trigonometric identities, and straight lines, with 2-mark short questions and longer proof-based problems. Both papers include a 15-minute reading time and require all rough work on the answer sheet.
| Paper | Download |
|---|---|
| Quarterly Mathematics (2018) | Download PDF |
| Quarterly Mathematics (2019) | Download PDF |
What the 2018 and 2019 Quarterly Papers Cover
The two papers span the first-term ISC Class 11 Maths syllabus. The 2018 paper is an 80-mark Section A paper. The 2019 paper carries 100 full marks with an 80-mark Section A. Both allow 15 minutes of reading time before writing begins.
The 2019 paper states a 3-hour writing duration. The 2018 excerpt does not state a writing duration, so time that paper using your school’s own rule. Never assume both papers share the same time limit.
Each paper instructs you to show all rough work on the same sheet as the answer. Marks for each question are given in brackets. The questions cover sets and Venn diagrams, quadratic equations, trigonometric identities, and straight lines.
Topics That Repeat Across Both Years
Some question types appear in both the 2018 and 2019 papers. These are your priority topics for quarterly test prep.
- Common roots of quadratics: Asked in 2018 and 2019. You find k so two quadratics share a root.
- Trigonometric identities: Proving identities appears in both years. The 2018 paper uses product-to-sum formulas. The 2019 paper uses a triple-angle identity.
- Surds and radical equations: Both papers give equations with nested square roots to solve.
- Trigonometric values by quadrant: Both papers ask you to find tan, cosec, or sin values when a trig ratio and quadrant are given.
Focus your revision on these four areas first. They carry reliable marks across years.
Worked Example: Finding a Common Root
Both papers ask you to find k so two quadratic equations share a root. Here is the method using the exact equations from the papers.
Given 2x^2 + kx – 5 = 0 and x^2 – 3x – 4 = 0, find k and the common root.
Step 1: Factor the simpler equation.
x^2 – 3x – 4 = (x – 4)(x + 1) = 0
The roots are x = 4 and x = -1.
Step 2: Test each root in the first equation.
If x = 4: 2(16) + k(4) – 5 = 0 \Rightarrow 32 + 4k – 5 = 0 \Rightarrow 4k = -27 \Rightarrow k = -\frac{27}{4}
If x = -1: 2(1) + k(-1) – 5 = 0 \Rightarrow 2 – k – 5 = 0 \Rightarrow -k = 3 \Rightarrow k = -3
Step 3: State both valid pairs.
- If k = -\frac{27}{4}, the common root is x = 4.
- If k = -3, the common root is x = -1.
Both values of k are valid. The question asks for the common root, so check which root your school’s marking scheme accepts.
How to Use These Papers for Exam Preparation
Using past quarterly tests well means copying the real exam conditions. Download a paper, set a timer, and attempt it without breaks.
- Use the 15-minute reading time: Read every question before you write. Plan which order you will answer in.
- Attempt the 2-mark questions first: Both papers start with short questions. Secure these marks before you try the longer proofs.
- Show all rough work on the answer sheet: The instructions say rough work goes on the same sheet, next to the answer. Examiners look for working steps.
- Check the mark tags: A [2] question needs a short answer. A [4] or [5] question needs full steps and a clear conclusion.
Common Mistakes Students Make While Studying
Students lose marks on quarterly tests for reasons that have nothing to do with knowing the maths. Here are the errors to avoid.
- Ignoring the quadrant sign: When a question says x is not in the first quadrant, you must check the sign of every trig ratio. Students often write a positive value when the quadrant makes it negative.
- Skipping steps in identities: A prove-that question needs every step. Jumping from line one to the final answer loses method marks, even if the result is correct.
- Forgetting both common roots: The common-root question has two valid answers. Writing only one loses half the marks.
- Misreading the reading-time rule: The 15 minutes is for reading only. If you start writing during this time, the invigilator may deduct marks.
Frequently Asked Questions
How many quarterly test papers can I download here?
You can download two ISC Class 11 Maths quarterly test papers: one from 2018 and one from 2019.
What is the marks and time pattern of the 2019 paper?
The 2019 paper carries 100 full marks, with an 80-mark Section A. The writing time is 3 hours, plus 15 minutes for reading.
Does the 2018 paper have the same time limit?
The 2018 excerpt shows an 80-mark Section A and the 15-minute reading time. It does not state a writing duration. Check your school’s own timing rule for that paper.
Do these papers come with solutions?
No. The downloads are the exam papers only. This page gives you worked examples and topic guidance to help you solve them yourself.
Which topics should I study first for these tests?
Study common roots of quadratics, trigonometric identities, radical equations, and quadrant-based trig values. These topics appear in both the 2018 and 2019 papers.
More ICSE study material on this site
Reference: CISCE-aligned ISC Class 11 textbook material.