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Year 10 Mathematics

The Revision Book

Five chapters to re-learn the core routines, then three timed trials to prove you’ve got it. Work through the chapters atom-by-atom — each one breaks a routine into the tiny steps an expert does automatically.
Chapters
The Trials

Each trial is a full mock examination. Every question breaks down into parts (a), (b), (c)… — work through them in order. Timer counts down; submit any time or wait for auto-submit at zero. Results show a per-topic breakdown.

Trial A
45 min · 40 marks
Year 10 Semester Practice A
Linear equations, parallel/perpendicular lines, two-way tables with conditional probability, tree diagrams, inequality word problems and Venn reasoning. Heavily scaffolded.
Trial B
45 min · 40 marks
Year 10 Semester Practice B
Line from two points, coordinate geometry, Venn diagrams with conditional probability, linear patterns → rule, simultaneous equations and an inequality word problem.
Trial C
60 min · 60 marks
The Achievement Standard
Five genuinely difficult multi-part problems: coordinate proof of a parallelogram, survey composition with conditional probability, tree-diagram conditional probability, linear-pattern synthesis comparing two sequences, and coordinate geometry finding the perpendicular distance from a point to a line.
⟵ Book  ·  Chapter I

Linear Graphs

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⚹   Rise Over Run

A line on a grid has a gradient — a number that tells you how steep it is. We’ll work through four lines. The first two guide you step by step; the last two ask you to predict. By the end you’ll have worked out the gradient formula yourself.

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⚹   The Line   ⚹
⟵ Book  ·  Chapter II

Coordinate Geometry

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⚹   The Point Between

Given two points, the midpoint is the point exactly halfway between them. We’ll work through four pairs — first two guide you, last two ask you to predict. By the end you’ll have worked out the formula yourself.

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⚹   Two Points   ⚹
⟵ Book  ·  Chapter III

Compound Interest

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⚹   The Multiplier Behind Interest

Most people think of interest as something you add to your balance. There’s a faster way to see it: as a multiplier. We’ll work through four accounts — the first two guide you step by step; the last two ask you to predict. By the end you’ll know why compound interest is exponential.

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⚹   The Account   ⚹
⟵ Book  ·  Chapter IV

Probability

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⚹   Two Things at Once

When you do two independent random things (like toss a coin and roll a die), how likely is a particular pair of outcomes? We’ll work through four scenarios — first two guide you step by step, last two ask you to predict.

Answers can be entered as fractions (e.g. 1/12) or decimals (e.g. 0.0833).

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⚹   Two Independent Events   ⚹
⟵ Book  ·  Chapter IV

Inequalities

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⚹   The One Move That Differs

Solving an inequality is almost the same as solving an equation. Almost. There’s exactly one move where the rules change. We’ll work through four problems — first two guide you, last two ask you to predict. By the end you’ll have found the move.

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⚹   The Inequality   ⚹
⟵ Book  ·  Chapter V

Two-Way Tables & Venn

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⚹   The Structure of a Table

A two-way table sorts a group two ways at once — dogs or not, cats or not. Every row sums to its row total; every column sums to its column total; those totals all add up to one grand total. When a cell is missing, you can always find it by subtraction. We’ll work through four tables — first two guide you, last two ask you to predict.

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⚹   Two-Way Table   ⚹
⟵ Abandon  ·  Trial
45:00
0 / 0 answered · 0 marks
⟵ Trials  ·  Results

Trial Complete

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