Year 9 Mathematics

Twenty questions on pre-drawn empty trees: type each possibility at the branch tips, write the probability fraction on every branch, then multiply paths and use 1 − P(none) — fair stages, uneven branches, and draws without replacement.

Twenty questions on pre-drawn empty trees: type each possibility at the branch tips, write the probability fraction on every branch, then multiply paths and use 1 − P(none) — fair stages, uneven branches, and draws without replacement.

20 progressively harder questions. Branch probabilities are given: calculate every final path probability, then answer an event question.

Thirty pure-selection questions across six probability contexts. Students click every separate region that belongs to single sets, intersections, unions, only, exactly and at-least events.

A 46-question unit carrying over the Year 8 foundations. Every completed two-set diagram unlocks a probability scaffold: total group into the denominator, then the requested event into the numerator.

Ten original surveys: fill the Venn regions, count not and only, then enter denominators and numerators for both and neither probabilities.

Two-step experiments, tree diagrams, with & without replacement, relative frequency.

The complete Probability Apothecary unit: simple probability, Venn diagrams, two-way tables, tree diagrams, sample spaces and restrictions.

A 17-question comprehension drill for identifying the branches that represent events such as same colour, at least one, exactly two, and ordered outcomes.

Eight construction questions for placing probabilities on tree diagrams, moving from scaffolded examples to replacement and non-replacement problems.

Stem-and-leaf plots, histograms, distribution shape & comparing data sets.

Login-free learning and practice for triangle angle sums, triangle types, supplementary and co-interior angles, parallel lines, and angle names.

Expand powers by hand (2^5 = 2×2×2×2×2 = 32), then learn the index laws: multiply (add powers), divide (subtract powers), power of power (multiply powers), and zero power. 56 questions across different bases.

Apothecary-style revision: add indices when multiplying, subtract when dividing, convert index fractions to division, and multiply indices across brackets.

Learn each metric fact with multiple-choice buttons, then immediately convert mm to m, mL to L, cm to m, and m to cm.

Original 40-question drill for the first four measurement test skills: metric conversions, area diagrams, surface area, and turf area with cost.

Twenty-question drill for cylinder packaging materials and rectangular-prism volume/fill-volume questions, with each segment checked before students continue.

End-of-semester revision across simple interest, Pythagoras, trigonometry, coordinate geometry, algebra, and number foundations.

Web-ready Year 9 end-of-semester revision using Firebase Realtime Database for live sessions.

Linear graphs step-by-step: substitution, intercepts, plotting, gradients, and real-world problems.

Ten linear-modelling investigations across positive and negative gradients — runners, savers, water tanks, saplings, water bottles, roller-skaters, library readers, phone batteries, hikers, and theatre tickets. Tables, functions, an interactive plot-the-points stage (scaffolded fading to free), and a decision for each.

Intercepts, gradient, y = mx + c, finding equations & linear modelling.

Four real-world scenarios — gym memberships, streaming services, taxi rides, and savings plans. For each, fill the cost tables (t = 0..10), write the algebraic rule yourself (free-text input — no fill-in-the-blank guiding), and plot all three lines on a shared interactive grid by clicking two points per line.

Five sequential lessons: identifying axes, reading coordinates, plotting points, reading tables, and drawing line graphs from tables. Strict prerequisite progression.

A magician's workshop where equations are incantations. Strike each glowing plaque to cast its inverse across the equals sign.

A structured balance-line refresher for solving equations, including multi-step equations and variables on both sides.

Draw the protected expression before solving increasingly deep linear equations with brackets, fractions, negatives, and decimal coefficients.

Expand powers by hand (2^5 = 2×2×2×2×2 = 32), then learn the index laws: multiply (add powers), divide (subtract powers), power of power (multiply powers), and zero power. 56 questions across different bases.

Expanding binomials, perfect squares, DOTS & factorising.

A focused trigonometry drill: 40 side-label questions, 40 sine/cosine/tangent ratio-choice questions, and 40 side-length calculations. No inverse trig or angle-finding.

LLL refresher with diagrams: boundary versus area clicks, radius identification, then circumference and area calculations.

Short conversion drill: mm, cm, metres, mL, litres, and cm^3.

Circles, composite shapes, surface area & volume of prisms and cylinders.

Polygons, congruence, enlargement & similar triangles.

Ten questions with two trees side by side: fill letters and outcomes, then branch probabilities. Three-letter arrangements, coin tosses, and marble draws with and without replacement.