Year 10 Mathematics

Learning unit based on the finance assessment shapes: spot I/P/R/T for simple interest, Q6-style P+I repayments, Q7 compound substitution and calculation, Q8 formula choice and tables, Q9 compound tables, and Q10 compounding units.

Solving equations, inequalities, linear graphs, simultaneous equations, and algebraic word problems.

A CSV-driven, diagram-heavy unit on identifying solution points, graph types, substitution, elimination, and worded systems before solving.

Apothecary-style exam prep for graph-proof and worded-modelling simultaneous equations, with fresh worked models and ten original practice questions for each.

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

Quick equation-solving refresher using balance lines, inverse operations, multi-step equations, and variables on both sides.

A diagram-heavy straight-line graphs unit built from the Test 2 concept map: distance-time graphs, gradients, intercepts, sketching, CSV data, linear models, and parallel/perpendicular lines, plus five original practice tests.

Focused mini-lesson for finding equations of lines parallel or perpendicular to a given line through a point, with 10 original practice questions for each skill, diagrams, LLL, and saved progress.

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

LLL right-triangle foundations: 30 Pythagoras side clicks, missing-long and missing-short triple drills, 20 mixed Pythagoras questions, then trig side names and SOH CAH TOA ratio choices.

Five original Pythagoras-only test versions. One question per page with diagrams, answer checking, model working, and a consistent 40-mark test shape across versions A-E.

Three original Apothecary-style test versions. Each starts with the worded angle-of-elevation question type, then moves through side lengths, angles, Pythagoras, and mixed trig. One question per page.

LLL trig calculation lesson: 20 typed sin/cos/tan ratio choices, 20 missing-side questions with multiple-choice working then calculator answer, and 20 missing-angle questions using inverse trig.

LLL inverse trigonometry lesson: students name adjacent, opposite, and hypotenuse from a referred angle, choose the correct ratio, select the inverse-trig working, then calculate the angle.

Simple probability, Venn diagrams, two-way tables, tree diagrams, and sample spaces.

20 questions in the format of the "luggage provisions" question — a real-world scenario with two main categories, a binary common decision, and a few restrictions. For each you count valid outcomes (a), compute a marginal probability (b)(i), then a conditional probability (b)(ii). Q1 is a fully worked walkthrough; scaffolding fades through Q5; Q6–20 are independent practice. Accepts fractions or decimals.

A vocabulary drill, not a calculation drill: for each tree diagram, click every branch where the given probability description applies — P(same colour), P(at least one blue), P(exactly two reds), P(red then blue), and so on. Three tree shapes: 2 draws × 2 colours, 2 draws × 3 colours, and 3 draws × 2 colours. 17 questions in total.

Eight construction questions: place probabilities onto pre-drawn trees. Scaffolded for the first three, then solo with replacement, then without.

End-of-semester revision: three timed scaffolded trials covering linear graphs, coordinate geometry, compound interest, probability, and quadratics.

Web-ready version of the Year 10 revision book using Firebase Realtime Database for live sessions.

A second version of the Revision Book with the same layout and a fresh set of timed questions across linear graphs, coordinate geometry, probability, inequalities, Venn reasoning, and algebra fluency.

Trigonometry · Financial Maths · Measurement · Statistics — atomised from Year 7 foundations.

Trigonometry · Financial Maths · Measurement · Statistics — construction & building contexts.

Trigonometry · Financial Maths · Measurement · Statistics — atomised from Year 7 foundations.

Trigonometry · Financial Maths · Measurement · Statistics — atomised from Year 7 foundations.

Trigonometry · Financial Maths · Measurement · Statistics — atomised from Year 7 foundations.