Crestellar Academy

Crestellar Academy

Mock exams · past papers · 5**

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  • Released
  • Updated
  • November 24, 2025
  • September 12, 2026

Features

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The all-in-one HKDSE Maths self-study app for iPhone and iPad — real 名校 exam questions, timed mock exams, past-paper solutions, revision notes, and every subject's 5** cutoff since 2012. Free to start, no account needed. NOW ON iPHONE • The whole app on your phone: quizzes, mock exams, long questions, past papers, notes, the timetable and Home Screen widgets, laid out for a phone — one account, one subscription, both devices • Writing on the question stays iPad-only for now PRACTICE ENGINE • Thousands of real MC and long questions from Hong Kong's top schools — filter by year, topic and difficulty, or take on the out-of-syllabus Challenging tier • Timed S1–S6 mock exams that mirror the real HKDSE Paper 2, slot by slot • Instant marking with a grade estimate, per-question review, per-topic time and accuracy • DSE LEVEL PREDICTOR: your mock score is converted using the REAL cut-offs from the last five years of HKDSE Mathematics — see where you sit and how many more questions reach the next level. • One-tap drill on your weakest topic • Long-question sessions: 5–50 per session, unseen questions first • Save questions to revisit; share a result card in one tap 5** SOLUTIONS • Every question has a complete marking-scheme solution — natively typeset, never a scan • Max plans unlock advanced solutions: faster 5** techniques, exclusive calculator programs, and Typical Questions & Skills for all 19 chapters WRITE ON THE QUESTION (iPad) • In a timed quiz, the Long Question bank or any saved question: pen, dotted pen, highlighter and eraser, pinned to the figure so they scroll and zoom with it — or pull up a blank scratch sheet • Hold at the end of a stroke and it snaps perfect — lines, circles, rectangles, triangles, parabolas — then drag its corners; one undo puts your freehand back • Apple Pencil always draws and double-tap swaps to the eraser; workings are never stored VISUAL MATH LAB • 43 interactive topics across three papers — Compulsory Part (21 labs), M1 Calculus & Statistics (12 labs: exponential growth, maxima & minima, trapezoidal rule, Bayes' theorem, random variables, binomial/geometric/Poisson, normal distribution, Central Limit Theorem, confidence intervals and 3 shared) and M2 Algebra & Calculus (13 labs: linear systems, matrices, vectors, limits, curve sketching, related rates, integrals, volumes, trig identities, binomial theorem, induction) — drag real DSE figures, watch the maths respond • Every lab runs on iPhone and iPad; AM–GM, Circle Angle Theorems, M2 Systems of Linear Equations and M1 Central Limit Theorem are free with no account; the rest are free to read — upgrade to interact REVISION TIMETABLE • Plan all 25 HKDSE subjects — official names, papers and topics; drag to build your week, clashes nudge to the nearest free slot • Revision, test, mock and homework blocks with optional reminders; "Build my week" fills your free hours; a Progress tab tracks mastery STAY ON TRACK • Home Screen widgets on iPhone and iPad: your practice streak and grade trend, a live HKDSE countdown, or today's revision plan • In the app: the same countdown, streak and grade trend, plus an optional evening study reminder • Every attempt saved with full per-topic history FREE TOOLS (no login needed) • HKDSE cutoff scores: 16 subjects, every year since 2012, in interactive charts • Past-paper solutions and complete illustrated revision notes, natively typeset • Guest mode: your first question 30 seconds after downloading FAIR PRICING • 80 free tokens every month, on every account — the free tier is real • Top-up token packs that never expire • Plus, Pro and Max plans cost a fraction of one tutoring lesson Fully bilingual — switch between English and Traditional Chinese any time. Built by Hong Kong DSE Maths teachers. Download free and aim for your 5**. Terms of Use (EULA): https://www.apple.com/legal/internet-services/itunes/dev/stdeula/ Privacy Policy: https://www.crestellaracademy.com/privacy-policy
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What's New in Crestellar Academy

4.1

September 12, 2026

VISUAL MATH LAB — M1 AND M2 START HERE • The Lab now opens on a subject picker: Compulsory Part (21 labs, 6 strands), M1 Calculus & Statistics (12 labs, 3 strands) and M2 Algebra & Calculus (13 labs, every strand). • Nine new M1 labs: Exponential Growth & Decay (equal times multiply by equal factors), Maxima & Minima (where f′ changes sign the curve turns — and the end points can win), The Trapezoidal Rule (equal strips, and concavity says over or under), Bayes' Theorem (turn P(A | B) around, and watch the base rate decide), Discrete Random Variables (where the bars balance, and how far they spread), Binomial, Geometric & Poisson (three ways to count — and when each one fits), The Normal Distribution (every normal curve is the standard one, rescaled), The Central Limit Theorem (sample means from any population pile into a bell) and Confidence Intervals (most intervals catch μ — you never know which ones); M1 also lists the Exponential ↔ Logarithm, Related Rates and Indefinite Integration labs it shares with the other papers. • Thirteen new M2 labs: Systems of Linear Equations (watch three planes meet at a point, a line, or nothing), Matrices & Determinants (the determinant IS the area factor), Volumes of Revolution (spin the region, slice it, stack the discs), Vectors in Space (the dot product, the cross product, and the volume they span), Limits & the Derivative (let h shrink and the secant becomes the tangent), Trigonometric Identities (two waves in, one wave out), Indefinite Integration (+ C is a whole family of curves, not one), The Binomial Theorem (one row of Pascal, every term at once), Mathematical Induction (turn the base case off and the entire ladder goes dark), First Principles & Named Limits (squeeze sin θ/θ to 1, then find the base whose slope at 0 is exactly 1), Curve Sketching (slide a parameter and watch two turning points merge), Related Rates (a steady rate in, a changing rate out) and Definite Integral Properties (areas that cancel, split and reflect). • M2 Systems of Linear Equations and M1 The Central Limit Theorem are completely free — no account needed. • Fixed: the formula box no longer flickers its height when you tap a question-type number.

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500 tokens monthly for steady practice

$4.991 Month
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