Year 7 Maths

Free interactive notes for every chapter of NSW Year 7 Maths: whole numbers, angles, integers, fractions, decimals and percentages, probability, time, algebra, equations, area and indices.

1Pick a chapter below.
2Notes: learn with clear examples, interactive diagrams and flashcards.
3Practice: every section ends with questions that mark themselves, plus unlimited extra questions.

Year 7 is the first year of high school maths (Stage 4). These notes build the number and algebra skills that every later year uses. Tap Mark as mastered after each section to track your progress on this device. No account needed.

Chapters

1 Computation with positive integers 6 sections

Place value, mental and written methods for adding, subtracting, multiplying and dividing whole numbers, estimating, rounding and the order of operations.

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2 Angle relationships 5 sections

Points, lines and angles, measuring and classifying angles, complementary, supplementary and vertically opposite angles, parallel lines and solving geometry problems with reasons.

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3 Positive and negative integers 5 sections

Negative numbers on the number line, adding, subtracting, multiplying and dividing integers, the order of operations with integers, and the Cartesian plane.

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4 Understanding fractions, decimals and percentages 6 sections

Factors and multiples, equivalent fractions, mixed numerals, comparing fractions, decimal place value and rounding, and converting between fractions, decimals and percentages.

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5 Probability 4 sections

The language of chance, theoretical and experimental probability, compound events using and, or and not, and Venn diagrams and two-way tables.

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6 Computation with decimals and fractions 4 sections

Adding, subtracting, multiplying and dividing decimals and fractions, including mixed numerals and multiplying or dividing by powers of 10.

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7 Time 3 sections

Units of time and converting between them, 12-hour and 24-hour time, elapsed time, timetables and Australian and world time zones.

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8 Algebraic techniques 6 sections

The language of algebra, substitution, equivalent expressions and like terms, multiplying and dividing terms, expanding brackets and writing expressions from words.

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9 Equations 5 sections

What an equation is, solving by inspection, equivalent equations, solving equations systematically, equations with fractions and brackets, and using equations to solve problems.

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10 Length, perimeter and area 5 sections

Metric units of length, perimeter of rectilinear figures, pi and the circumference of a circle, units of area, and the area of rectangles, triangles, parallelograms and composite figures.

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11 Introducing indices 4 sections

Divisibility tests, prime and composite numbers, index notation, prime decomposition, squares, square roots, cubes and cube roots, and the first index laws.

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