Worksheets & Course Plans
A preview of the kind of study materials your mentor builds around your exact board and subject. Full access unlocks once you're enrolled — book your free session to get started.
Simple & Compound Interest
Worked examples and practice problems on simple vs. compound interest, matched to the Australian Curriculum.
Download PDFQuadratic Equations Practice Set
20 problems, mixed difficulty, with step-by-step answer key.
Preview (Coming Soon)Calculus: Derivatives, Chain Rule & Tangent Lines
Differentiation rules, the chain rule, and worked tangent-line problems, with a full worked example.
DownloadFunctions, Domain/Range & Inverse Functions
Function composition, finding domain and range, and calculating and verifying inverse functions.
DownloadPolynomial Addition & Subtraction (Word Problems)
40 word problems on combining and subtracting polynomials — perimeter, revenue/cost, and real-world models, with full answer key.
DownloadPolynomial Multiplication & Division -- Worksheet 1
Multiplying polynomials, word problems with graphical models, and division with zero remainder, with full answer key.
DownloadPolynomial Multiplication & Division -- Worksheet 2
Harder multiplication, applied word problems (box volume, parabolic arch), and long division with zero remainder.
DownloadExponential Equations -- Change of Base
40 equations solved by rewriting both sides with a common base, with full answer key.
DownloadSystems of Equations -- Word Problems
Real-world systems of equations: mixtures, tickets, wind/current, and more, with full answer key.
DownloadNo-Calculator Math Drills
Speed drills for the sections where a calculator isn't allowed.
Preview (Coming Soon)Real Analysis: A Problem Companion
25 problems grouped by topic (sets, compactness, sequences, series, continuity, uniform continuity, power series) with theory refreshers and hints.
DownloadMeasure Theory
σ-algebras, measures, measurable functions, the Lebesgue integral, and the Monotone/Fatou/Dominated Convergence Theorems.
DownloadTopology
Topological spaces, continuity, homeomorphisms, compactness (Heine–Borel), connectedness, and Hausdorff spaces.
DownloadMetric Spaces
Metrics, open balls, convergence, completeness, continuity, sequential compactness, and the Banach Fixed Point Theorem.
DownloadProbability Distributions
Random variables, PMF/PDF/CDF, expectation and variance, and the key discrete & continuous distributions.
DownloadStochastic Processes
Markov chains, transition matrices, stationary distributions, the Poisson process, and Brownian motion.
DownloadBasics of Geometry
Points, lines & planes, segment/distance formulas, angle measures, and angle pairs.
DownloadReasoning & Proofs
Statements, hypotheses/conclusions, and the structure of a formal proof.
DownloadParallel & Perpendicular Lines
Transversal angle relationships, slope criteria, and proofs of parallelism.
DownloadTransformations
Translations, reflections, rotations, and dilations as functions of the plane.
DownloadRelationships Within Triangles
Midsegments, perpendicular/angle bisectors, medians, altitudes, and centers of a triangle.
DownloadQuadrilaterals & Other Polygons
Properties and proofs for parallelograms, rectangles, rhombi, trapezoids, and regular polygons.
DownloadSimilarity
Similar polygons, the AA/SSS/SAS similarity criteria, and the Triangle Proportionality Theorem.
DownloadRight Angles & Trigonometry
Special right triangles, the Pythagorean Theorem, and sine/cosine/tangent ratios.
DownloadCircumference, Area & Volume
Circle measure, area formulas, and volume of prisms, cylinders, cones, and spheres.
DownloadProbability
Sample spaces, independent/dependent events, two-way tables, and permutations & combinations.
DownloadNewton's Laws — Applied Problems
Real-world scenario questions, not just formula plug-ins.
Preview (Coming Soon)Balancing Equations Workbook
Progressive difficulty, from simple to multi-step reactions.
Preview (Coming Soon)Cell Structure Labeling Sheets
Diagram-based practice with an answer key.
Preview (Coming Soon)SAT Math Foundation-to-Score Plan
Week-by-week breakdown from core concepts to full timed practice tests.
Preview (Coming Soon)CBSE Class 10 Science Revision Map
Chapter-by-chapter pacing aligned to the board exam calendar.
Preview (Coming Soon)Want the full worksheet library?
These are just a preview. Once you book your free 30-minute session, your mentor puts together a course plan and worksheet set built specifically around your board, grade, and the topics you're stuck on.
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