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Paper or online·AI question generation·Auto-marking·Proctoring

Northgate High School

Mathematics Extension 1: Trial Examination

General instructions · Reading time 5 minutes · Working time 90 minutes

Name

Student ID

Date

Question 1(4 marks)

Differentiate the following, showing all working:

$f(x) = \sin(x^2) \cdot e^{3x}$

Question 2(2 marks)

Evaluate the integral:

$\int_1^2 \frac{3x^2 + 1}{x}\,dx$

FORM X · SECTION IDO NOT TURN OVER UNTIL INSTRUCTED

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Auto-generate Versions A–C with reordered questions, so no two neighbours share a paper.

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Instant auto-marking & review mode

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Runs on school Wi-Fi · nothing to install

Same question bank. You choose how it's delivered.

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Draft, tag and assemble questions in minutes. Nothing reaches your students until you've approved it.

Create a calculus question about derivatives using the chain rule, target difficulty 7, worth 4 marks.

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Question 14: Calculus

Generated · Draft

Differentiate $f(x) = \sin(x^2) \cdot e^{3x}$ , giving your answer in fully factored form.

Worked solution. By the product rule with the chain rule on each factor:

f'(x) = 2x\cos(x^2)\,e^{3x} + 3\sin(x^2)\,e^{3x} = e^{3x}\left[2x\cos(x^2) + 3\sin(x^2)\right]

CalculusChain rule4 marksDifficulty 7~6 minGrounded in your curriculum outcomes

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A second pair of eyes

Readiness scores and suggestions before students ever see the exam.

Works with the boards you already teach

CBSEIGCSEIBQCAAUCATVCAA+ any syllabus

Build the exam your way

Create an exam by just choosing the questions you want.

Pick straight from your bank and reorder freely. Papersetter checks topic coverage, difficulty and marks against your exam pattern as you build, so the exam is balanced before it leaves your desk.

Pick from your bank
Search by topic, tag or difficulty, tap the questions you want, drag to reorder. The exam formats itself.
Checked against your blueprint
Coverage, difficulty spread, marks and duration are compared live with your board's exam pattern, with gaps and overrepresentation flagged before print.
Randomised variants
Generate parallel versions of the same exam, same pattern and different questions, with zero duplicates across the set.
Marking scheme included
Every paper exports with its fully worked scheme; online sittings mark themselves the moment they close.
Import what you already have
Bring last year's papers into the bank and rebuild them as reusable, blueprint-ready templates.

Blueprint checkChecking

Difficulty0/100 target met
Time estimate0 / 60 min
Topic coverage0/9 syllabus units
GapsNone detected
OverrepresentationNone
Variants0 ready to assign
Duplicate questions0

Analytics

Insights, not just marks

Every exam feeds a picture of readiness for the class, the cohort and each student.

Difficulty histogram and syllabus/tag coverage
Readiness scores per exam and per student
Teacher analytics: marks vs time, exam history, per-template stats
Student dashboard: next exam, schedule, suggested focus areas

Term 3: Calculus Readiness

Year 11 Extension · 46 students · 4 exams

Week 8

Difficulty histogram: questions attempted

Cohort readiness

Exam-ready on 5 of 7 syllabus outcomes.

Tag coverage: class average

Chain rule92%

Related rates64%

Optimisation41%

Your department's memory

A question bank that compounds

Every question you write, import or generate makes the next exam faster to build.

Q 412Calculus

6 mins4 marksAK

Differentiate $f(x) = \sin(x^2) \cdot e^{3x}$ in factored form

Worked solution

$f'(x) = 2x\cos(x^2)\,e^{3x} + 3\sin(x^2)\,e^{3x} = e^{3x}\left(2x\cos(x^2) + 3\sin(x^2)\right)$

Q 397CalculusMotionSnapped from 2019 paper

3 mins2 marksJT

The displacement of a particle is $x(t) = t^3 - 6t^2$ ; by differentiation, find its maximum speed

Q 374CalculusPending approval

4 mins3 marksAK

A curve has equation $y = x^3 - 3x + 1$ ; find the coordinates of its stationary points and determine their nature

…and 1,201 more questions in the bank

Brightpath Education GroupOrganisation · Admins

Sydney CampusSub-organisation

MathematicsSubject · 12 teachers

Melbourne CampusSub-organisation

TeachersTypistsAdminsIT departmentRead-only viewers

Collaboration

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Organisations with sub-organisations and subject-level access
Roles for teachers, typists, admins and read-only viewers
Invite staff by email or link; students join with a code

Online delivery

Run any exam, your way

One secure player, shaped to fit every assessment from end-of-semester finals through to UCAT, HPAT and NEET, with results kept fully locked down.

+ Your exam here.
Any other exam format maps to a single ready-made template, and the secure player does the rest.

UCAT, HPAT and NEET ship out of the box, and matching any other exam format takes nothing more than a single ready-made template. If the exam has a format, Papersetter mirrors it.

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Role-based access, fully auditedGranular roles, plus a timestamped log of every view, edit and export.

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From the department

Making exams shouldn't be the hard part.

What pilot departments tell us after moving their exam writing to Papersetter.

“We are giving every student 30 randomised mock exams to practise from. That volume was never possible for us by hand.”

Shivam D.Head of Examinations · Uplift

“What used to be a week of cutting and pasting papers across the department now takes an afternoon. The marking scheme coming out with the paper is the part the teachers actually celebrate.”

Milind B.CEO · Clarify Tutoring

“The blueprint enforces the balance we always aimed for but could never guarantee by hand. Every variant is to spec, every time.”

Khokan M.Professor · Techno India University

Questions

Everything you need to know.

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Yes, that's the whole point. Both modes draw from the same question bank and the same AI, so you write a question once and deliver it either way.

You attach your syllabus and curriculum documents. Generation is grounded in them, so questions use your terminology, your outcomes and your notation, not a generic textbook's.

You define a blueprint: the number of questions per topic, the difficulty mix, total marks, and duration, matching your prescribed exam pattern. As you build the exam, Papersetter checks it against that blueprint and shows you the coverage breakdown, so you see every exam meets the spec before it's printed.

Tab-switch and copy/paste detection run throughout the sitting, logged to an incident timeline you review afterwards. Strict sessions add roster locking and controlled release of results.

Yes. Answers are encrypted in transit and at rest, your school keeps full ownership of its data, and access is role-based with complete audit logs. A detailed data-handling summary is available on request.

Book a free walkthrough. We'll set the builder up around your curriculum and blueprint structure, and walk your team through building their first exam.

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