Question 1

How would you teach integration by parts to a Class 12 student who is scared of calculus?

Accepted Answer

Start with the product rule they already know — differentiate u·v and show what happens if you rearrange it. Frame integration by parts as the product rule 'run backwards'. Do one visual example (∫x·sin x dx) on the board, then hand them ∫x·e^x dx to try. Fear of calculus is almost always fear of unfamiliar notation, not the maths — anchor every new symbol to something they already know.

Question 2

A Class 11 student says 'why do we need limits — I can just plug in the value?' How do you respond?

Accepted Answer

Take them straight to 0/0. Ask them to evaluate (x² − 1)/(x − 1) at x = 1 by plugging in. When they get 0/0, factor the top and cancel — now the value is clearly 2. Limits are the tool that lets you talk about 'what the function is doing near a point' when direct substitution breaks. Once they see one honest example, the definition sticks.

Question 3

Which chapter of Class 12 do students score worst on, and how do you fix that?

Accepted Answer

In most CBSE cohorts it's 3D Geometry — students memorise formulas but can't visualise a line, a plane and their intersection. I fix it with 15 minutes of paper-folding at the start of the unit (fold two sheets to make intersecting planes, use a pencil as the line), then move to vector form before Cartesian. By the time they see a board question, they can draw the situation before they compute — and that alone lifts marks 6–8.

Question 4

How do you handle a student who solves a problem a completely different way than the textbook?

Accepted Answer

Ask them to walk the class through it on the board. If the method is mathematically valid, mark it right and add it to the class's toolkit. If it works only in this case, use it to teach when a shortcut generalises and when it doesn't. Punishing an original solution is the fastest way to kill a strong maths student.

Question 5

Explain the difference between a function being continuous and being differentiable, using a real example.

Accepted Answer

|x| at x = 0 is the standard example — continuous everywhere, but not differentiable at 0 because the left and right derivatives disagree. Continuity is about the graph having no jumps; differentiability is stronger — the graph must also have no corners or vertical tangents. Every differentiable function is continuous, but not vice versa. I always draw both graphs side by side before writing the definition.

Question 6

How do you prepare Class 12 students for the board exam without turning the classroom into a coaching centre?

Accepted Answer

Split the year: August–December for concept depth with weekly problem sets, January onwards for full-length practice papers under timed conditions. I keep two Fridays a month for open-ended problems that won't appear on the board — otherwise the brightest students disengage. Coaching-centre teaching lifts 60% students to 70%; balanced teaching keeps the 90% students growing.

Question 7

What is your view on using GeoGebra or Desmos in a Maths class?

Accepted Answer

I use Desmos regularly for graphing — students see how changing 'a' in y = a·sin(x) stretches the graph in real time, and understanding beats memorising every time. But I do not open the tool before students have hand-drawn at least one example. Tech is a magnifier of understanding, not a shortcut past it.

Question 8

A parent says their child is 'weak in Maths'. What do you do?

Accepted Answer

Ask the parent for two specific examples — which chapter, which type of question. Then I diagnose in a 20-minute one-on-one with the student — nine times out of ten the gap is in a Class 8 or 9 topic (fractions, algebra basics), not the current chapter. I share a two-week plan with the parent covering the actual gap, with a checkpoint. 'Weak in Maths' is a symptom; my job is to find the cause.

Question 9

How do you handle the syllabus reduction announcements that CBSE sometimes issues mid-year?

Accepted Answer

I teach the full syllabus in the plan I share in April, and if CBSE prunes, we use the freed time for revision and application questions — never to move faster and cover more. Board reductions are for the exam, not for the learner; students moving to Class 12 next year will need everything I chose to skip.

Question 10

How would you teach probability to students who have only seen dice-and-coin examples?

Accepted Answer

Move to conditional probability with a real dataset — I use a class survey ('who cycles to school, who plays a sport') and compute P(sport | cycles) live. Then bring in Bayes with a medical-testing example: false positives are counter-intuitive and hook every class. Probability sticks when students see it answer a question they actually care about.

Question 11

Two students are copying in your test. What do you do?

Accepted Answer

Quietly collect both papers, mark them with the time, and let them finish orally at the back of the room after class — no public shaming. I record it, tell the parents the same evening, and treat it as a learning moment on the first offence. Repeat behaviour goes to the Coordinator with my written note.

Question 12

Your class has a strong ability spread — some students are 2 years ahead, some 2 years behind. How do you teach one lesson?

Accepted Answer

I plan every lesson with three tiers. Core (everyone must do it), stretch (an application question with no scaffold), and support (the same idea broken into two smaller steps). Same 30 minutes, three different exit tickets. Over a term I rotate who works on what — no student gets permanently labelled.

Question 13

A student refuses to participate. Nothing you try works. What next?

Accepted Answer

First, a 5-minute private conversation — is it the subject, the seat, something at home, a friendship issue? Half the time you find out and half the time you don't. If you don't, I stop trying to change them in front of the class and instead give them a small role they can't refuse (hand out the sheets, write today's date). Small yeses build up. If nothing shifts in two weeks, I loop in the counsellor.

Question 14

A parent emails the Principal complaining about your grading. The Principal forwards it to you. What's your first message back?

Accepted Answer

I reply within 24 hours, cc the Principal. I attach the marking scheme I used, the student's actual paper, and the exact places marks were lost. I invite the parent for a 15-minute meeting. Defensiveness escalates, transparency almost always de-escalates. I never argue over email.

Question 15

How do you handle a top student who has become bored?

Accepted Answer

Bored means unchallenged. I ask them to solve one Olympiad-level or JEE Advanced-style problem per week and present the solution on Friday. It's five extra minutes of my prep and it keeps a real student growing. Losing your top student's engagement is a bigger failure than losing your bottom student's marks.

Question 16

Two students are having a serious argument in class. What do you do?

Accepted Answer

Separate them immediately — I move one to the front and the other to the back. I finish the lesson, then take them into the corridor together after class. I let each speak once without interruption, then ask them what they want from tomorrow. It usually ends there. Serious enough that a student cries or hits — Coordinator, that day.

Question 17

A student asks you a question you don't know the answer to. What do you do?

Accepted Answer

Say so, immediately: 'Good question, I'll come back to you tomorrow with a real answer.' Then I actually do — first thing next lesson, with the answer and how I found it. Pretending erodes trust faster than any wrong answer.

Question 18

How do you use technology in a Maths classroom without losing the mental-math muscle?

Accepted Answer

Desmos and GeoGebra for exploration — 'what if we change this parameter'. Never for a calculation a student should do by hand. My rule is: if the calculation is the concept, no tool; if the concept is about behaviour of a family of functions, tool. Fifteen minutes of tool time in a 40-minute lesson is my ceiling.

Question 19

Why do you want to teach at this specific school?

Accepted Answer

Do the homework: one line about the school's board and results, one line about something specific from their website (a Maths club, a recent Olympiad win, their pedagogy statement), and one line about what you'd add. 'I saw your Class 12 board average in Maths was 87 last year and you have an active Maths Circle — I've run one at my previous school and would want to grow it here.' Specific always beats warm.

Question 20

What is your expected salary?

Accepted Answer

Give a range, not a number: 'Based on my 6 years and current CTC, I'm looking at ₹X–Y LPA — I'm open to discussing the full package including transport and PF.' Never quote first if you can help it — return the question: 'What band is this role budgeted at?' If you must quote, know the market rate for PGT Maths in this city (₹5–10 LPA in most metros in 2026).

Question 21

When can you join?

Accepted Answer

Be truthful and specific — 'I have a 60-day notice period at my current school, so June 1st is the earliest.' If they need earlier, ask if they can support a buyout letter to your current employer. Never promise a date you cannot deliver — every principal in your city talks to every other principal.

Question 22

Why did you leave / are you leaving your previous school?

Accepted Answer

One clean, forward-looking sentence. 'I've had four good years at X, taught two board batches through, and I'm ready for a school with an IB programme / a stronger senior secondary / better proximity to home.' Never criticise the previous management, however tempting.

Question 23

Where do you see yourself in 5 years?

Accepted Answer

Honest answer, tied to teaching: 'Still teaching PGT Maths, ideally as HOD, with one board batch a year that consistently averages above 85%. I'm not looking to move out of the classroom into admin.' Principals want to hire teachers who love teaching — not people using the job as a bridge.

Question 24

Do you have any questions for us?

Accepted Answer

Always yes. Ask about the Class 12 board average trend in Maths over the last three years, the department's approach to underperforming students, the CPD budget, and — if genuine — school transport or accommodation. Silence at this stage reads as 'not really interested'.

PGT Maths interview questions and answers (2026)

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Questions with model answers

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What this interview actually looks like

Questions with model answers

Q1How would you teach integration by parts to a Class 12 student who is scared of calculus?

Q2A Class 11 student says 'why do we need limits — I can just plug in the value?' How do you respond?

Q3Which chapter of Class 12 do students score worst on, and how do you fix that?

Q4How do you handle a student who solves a problem a completely different way than the textbook?

Q5Explain the difference between a function being continuous and being differentiable, using a real example.

Q6How do you prepare Class 12 students for the board exam without turning the classroom into a coaching centre?

Q7What is your view on using GeoGebra or Desmos in a Maths class?

Q8A parent says their child is 'weak in Maths'. What do you do?

Q9How do you handle the syllabus reduction announcements that CBSE sometimes issues mid-year?

Q10How would you teach probability to students who have only seen dice-and-coin examples?

A 15-minute demo you can teach on Monday

Ask them back — questions for the interviewer

Ready to apply?

Other interview guides