Year 10 · Mathematics

Year 10 Mathematics

Probability, algebra, and the craft of formal reasoning

Year 10 Revision
End-of-semester revision: three timed scaffolded trials covering linear graphs, coordinate geometry, compound interest, probability, and quadratics.
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Year 10 Revision Web
Web-ready version of the Year 10 revision book using Firebase Realtime Database for live sessions.
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Year 10 Revision II
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.
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Year 10 - Straight Line Graphs
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.
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Year 10 - Parallel and Perpendicular Lines
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.
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Year 10 - Pythagoras and Trig Foundations
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.
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Year 10 - Trig Ratio Calculation
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.
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Year 10 Probability
Simple probability, Venn diagrams, two-way tables, tree diagrams, and sample spaces.
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Year 10 · Probability — Sample Spaces (test prep)
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.
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Year 10 · Probability — Tree Events (comprehension drill)
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.
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Year 10 · Tree Diagrams (drill)
Eight construction questions: place probabilities onto pre-drawn trees. Scaffolded for the first three, then solo with replacement, then without.
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Year 10 Algebra
Solving equations, inequalities, linear graphs, simultaneous equations, and algebraic word problems.
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Year 10 - Simultaneous Equations
A CSV-driven, diagram-heavy unit on identifying solution points, graph types, substitution, elimination, and worded systems before solving.
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Year 10 - Simultaneous Equations Exam Prep
Apothecary-style exam prep for graph-proof and worded-modelling simultaneous equations, with fresh worked models and ten original practice questions for each.
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Equation Solving
A magician's workshop where equations are incantations. Strike each glowing plaque to cast its inverse across the equals sign.
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Year 9-10 Linear Graphs
Linear graphs step-by-step: substitution, intercepts, plotting, gradients, and real-world problems.
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Year 10 · Sem 2 Revision · Exam 1
Trigonometry · Financial Maths · Measurement · Statistics — atomised from Year 7 foundations.
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Year 10 · Sem 2 Revision · Exam 2
Trigonometry · Financial Maths · Measurement · Statistics — construction & building contexts.
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Year 10 · Sem 2 Revision · Exam 3
Trigonometry · Financial Maths · Measurement · Statistics — atomised from Year 7 foundations.
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Year 10 · Sem 2 Revision · Exam 4
Trigonometry · Financial Maths · Measurement · Statistics — atomised from Year 7 foundations.
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Year 10 · Sem 2 Revision · Exam 5
Trigonometry · Financial Maths · Measurement · Statistics — atomised from Year 7 foundations.
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Mr Tran's Mathematics