ICSE Class 11 Half Yearly Tests Mathematics PDF Download
Here you can download icse class 11 half yearly tests mathematics papers from 2017 and 2019. The table provides two half-yearly exam PDFs for ISC Class XI Maths students. Each paper is a full 100-mark school-level exam, and this page explains the paper structure, recurring topics, and marking rules so you can practise effectively.
For more ISC Class 11 resources across subjects, see our Class 11 material or browse the full ICSE books PDF free collection. You can also verify syllabus updates on the official CISCE board site.
Download ICSE Class 11 Mathematics Half-Yearly Tests PDF
These are the 2 half-yearly 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.
This group contains two ISC Class 11 half-yearly Mathematics papers from 2017 and 2019. Each paper is a 100-mark exam with a compulsory 80-mark Section A and a choice between Section B and Section C. The papers test sets, complex numbers, trigonometric identities, equations, functions, and sequences from the first half of the Class 11 syllabus.
| Paper | Download |
|---|---|
| Half-Yearly Mathematics (2017) | Download PDF |
| Half-Yearly Mathematics (2019) | Download PDF |
What These Half-Yearly Maths Papers Cover
Both papers follow the same ISC school-level half-yearly format. They test the first half of the Class 11 Maths syllabus. The structure is consistent across both years.
- Full marks: 100 in both 2017 and 2019.
- Three sections: Section A is compulsory for all students. You then choose either Section B or Section C.
- Section A weightage: 80 marks in both papers.
- Reading time: 15 minutes before writing begins.
The two papers differ slightly in writing time. The 2017 paper allows 3 hours 15 minutes total. The 2019 paper lists 3 hours plus 15 minutes reading time. Both give the same 15-minute reading window before the clock starts.
Topics That Recur Across Both Years
Comparing the 2017 and 2019 question stems reveals clear patterns. Certain ISC Class 11 Maths topics appear in both half-yearly papers, usually as 2-mark Section A openers.
| Topic | 2017 Question | 2019 Question |
|---|---|---|
| Sets and Venn diagrams | TV survey of 120 students; find how many watched no programme | Show that A \cap B = A \cap C need not imply B \cup C |
| Complex numbers | Find x and y using \frac{x+iy}{2-i} = \frac{1+i}{2+i} | Express (-2+5)^3 in standard form |
| Trigonometric identities | Prove \frac{\sin(x+y) – 2\sin x + \sin(x-y)}{\cos(x+y) – 2\cos x + \cos(x-y)} = \tan x | Prove \cos 5^\circ – \sin 25^\circ = \sin 35^\circ; find \cos 3x given \cos x = -\frac{2}{5} |
| Quadratic / cubic equations | Prove roots of x^2 – 2ax + a^2 – b^2 – c^2 = 0 are real | Find a if one root of 8x^3 – 6x + a = 0 is double the other |
| Functions and sequences | Not visible in excerpt | Domain and range of f(x) = \frac{x-3}{x-3}; sum of 3+7+11+15+\dots to 30 terms |
Sets, complex numbers, trigonometry, and equations appear in both years. Functions and sequences show up in 2019. If you are preparing for your next half-yearly, prioritise these five areas first.
Worked Example: Sets and Venn Diagrams
The 2017 paper asks a 2-mark Venn diagram question. Here is an original worked example in the same style, using different numbers so you can practise the method yourself.
Question: A survey of 150 students found that 80 read fiction and 65 read non-fiction. 25 read both. How many read neither?
Solution:
- Total students: n(U) = 150
- Fiction readers: n(F) = 80
- Non-fiction readers: n(N) = 65
- Both: n(F \cap N) = 25
- At least one: n(F \cup N) = 80 + 65 – 25 = 120
- Neither: 150 – 120 = 30
So 30 students read neither fiction nor non-fiction. The key step is subtracting the overlap from the union. Forgetting to subtract n(F \cap N) is the most common error in these 2-mark questions.
How to Use These Papers for Exam Preparation
These half-yearly tests help you check your readiness for the first-term syllabus. Here is how to get the most out of them.
- Simulate exam conditions: Sit with the paper for the full writing time. Keep your phone away and do not check notes midway.
- Use the 15-minute reading window: Read every question before writing. Decide which Section B or C questions you will attempt.
- Attempt Section A first: It carries 80 marks and is compulsory. Secure these marks before moving to your chosen optional section.
- Review against mark tags: Each question shows its marks in brackets. A 2-mark answer needs a direct result with one key step. A longer question needs full working shown line by line.
- Compare both years: If a topic appears in both 2017 and 2019, it is likely to appear again. Practise those chapters thoroughly.
For additional textbook support, see our ICSE books section.
Common Mistakes Students Make with These Papers
- Skipping the reading time: Students who start writing immediately often miss the Section B or C choice. Use the 15 minutes to plan.
- Ignoring mark allocation: A 2-mark proof needs a concise derivation. Writing three pages for 2 marks wastes time you need for 10-mark questions.
- Choosing Section C without checking: Read both Section B and Section C questions during reading time. Pick the one where you can answer more sub-parts confidently.
- Not showing rough work on the answer sheet: Both papers state that rough work must appear on the same sheet, adjacent to the answer. Scratching it out on a separate pad loses method marks.
- Skipping steps in trigonometry proofs: Examiners give marks for each identity application. Jumping straight to the final line can cost partial credit even if the answer is correct.
Frequently Asked Questions
How many half-yearly Maths papers can I download here?
You can download two half-yearly Maths papers: one from 2017 and one from 2019. Both are for ISC Class 11 and carry 100 marks each.
What is the exam duration for these papers?
The 2017 paper allows 3 hours 15 minutes total. The 2019 paper allows 3 hours of writing time plus 15 minutes of reading time. Both papers give a 15-minute reading window before writing begins.
Do I need to attempt all three sections?
No. Section A is compulsory for 80 marks. You then choose either Section B or Section C. You do not attempt both optional sections.
Are these papers solved or do they come with answer keys?
These are question paper PDFs. They do not include solved answer keys. This page provides worked examples and topic guidance to help you check your own answers.
Which topics should I prioritise for the half-yearly exam?
Based on both the 2017 and 2019 papers, prioritise sets and Venn diagrams, complex numbers, trigonometric identities, and quadratic or cubic equations. Functions and sequences also appeared in 2019.
More ICSE study material on this site
Reference: CISCE-aligned ISC Class 11 textbook material.