Study Material

Mathematics

This is school mathematics as competitive exams use it — the algebra, geometry and trigonometry that sit behind quantitative aptitude questions and that entrance papers test directly.

It complements the Quantitative Aptitude section rather than repeating it: arithmetic topics such as percentages and time and work are covered there, while the structural mathematics that those topics rely on is covered here.

Current affairs · 19 September 2026

Today’s current affairs, checked at the source

Every item is dated, read on the conducting body’s or ministry’s own site, and written with the question it becomes. Read today’s items, take the quiz, or download the month as a PDF.

19September 2026

Today’s poster

What to note today

  1. 01

    No charges on UPI payments up to ₹2,000 and on RuPay debit cards, by notification

    Economy and banking14 SeptemberMinistry of Finance notification of 14 September 2026

  2. 02

    Retail inflation rose to 4.82 per cent in August 2026

    Economy and banking14 SeptemberMoSPI CPI press release of 14 September 2026

  3. 03

    SEMICON India 2026 opened at Yashobhoomi on the theme “Silicon to Systems”

    Science and technology17–19 SeptemberPrime Minister’s Office note of 16 September 2026; inauguration confirmed by agreeing reports of 17 September

  4. 04

3 topics written

Read these in order

Each topic is a complete lesson — concepts, formula tables, worked examples and practice questions with explanations.

Weighting

Where Mathematics marks actually sit

A syllabus lists topics with equal visual weight, and no paper treats them that way. The table below collects what each Mathematics lesson records about the exams that examine it, so the reading order on this page can be checked against the exams you are actually sitting.

Counts are ranges observed across cycles rather than promises. The notification for your cycle is what fixes the paper, and a topic can move.

Mathematics topics, the exams that weight them, and how much of each lesson is practice.
TopicExamined most inTypical volumeLesson
AlgebraJEE Main / Advanced; SSC CGL Tier 1 and 2; Banking Quantitative Aptitude25–30% of the mathematics paper24 min · 16 questions
Geometry & MensurationSSC CGL Tier 1 and 2; CAT Quantitative Ability; Banking Quantitative Aptitude5–8 questions24 min · 16 questions
Trigonometry & CalculusSSC CGL Tier 1 and 2; JEE Main / Advanced; CAT Quantitative Ability3–5 questions23 min · 16 questions

How to use the table rather than read it

Find the rows naming the exam you are preparing for, and study those first regardless of where they sit in the reading order above — the order on this page is pedagogical, built so each lesson can rest on the one before it, and it is not a priority list. Where a topic you are weak at also carries the highest volume in your paper, that row is the whole of your next fortnight.

Method

How to study mathematics

Mathematics rewards the same discipline everywhere it is examined: solve before reading, work the derivation, and practise mixed rather than sorted.

  1. Never read a solution before attempting the problem. This single habit accounts for most of the difference between candidates who improve and those who plateau.
  2. Work derivations by hand rather than accepting results. A formula you can rebuild will not be misremembered; one you memorised will.
  3. Practise mixed sets once a topic is stable. Sorted practice tells you which method to use, which is exactly what the exam withholds.
  4. Maintain a hand-written formula sheet. Containing only what you personally keep forgetting, revised weekly. Someone else’s formula sheet is a list; yours is a diagnosis.
  5. Revisit hard problems after a month. A problem solved twice, a month apart, is one you have actually learned.

Questions

Mathematics — FAQs

How is this different from quantitative aptitude?

Quantitative aptitude is arithmetic under time pressure — percentages, ratio, interest, data interpretation — and it is what most recruitment papers examine. Mathematics here covers algebra, geometry, mensuration and trigonometry, which are examined in SSC tier papers, engineering entrance tests and several state examinations at greater depth. Check which of the two your paper actually sets before choosing where to spend months.

Do I need to memorise formulas or derive them?

Memorise, and understand enough to know when a formula applies. There is no time to derive under an objective clock, so the working set has to be immediate. The reliable method is writing the formula sheet out from memory on a schedule rather than reading it — recall practice, not review.

Which topic gives the fastest improvement?

Geometry and mensuration for most candidates, because the question forms are finite and highly repetitive: a limited set of configurations generates most of what is asked. Trigonometry is next, since the identities are a closed list. Algebra rewards the most practice and improves the most slowly.

How much geometry theory do I need?

The theorems that generate questions — similarity, circle properties, triangle centres, and the standard mensuration results — known well enough to apply without reconstructing. Proof-level understanding is rarely examined in objective papers, and time spent there is better spent on solving configurations until you recognise them on sight.

Read the concept, then test it the same day

Every topic ends with practice questions, and a full mock is the fastest way to find out which ones actually stuck.

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