NSW Year 7 Maths - Coursebook
Year 7 is where maths often stops making sense. Every topic explained step by step, with a fully worked solution for every question — so students can check their own work and fix mistakes as they go.
Both formats: a fully worked solution for every question · QR-code video tutorials · aligned to the NSW Year 7 syllabus
The Challenge
Year 7 Maths moves fast. In the first term alone, students are expected to shift from primary school arithmetic to algebraic thinking, geometry, and data analysis — often with little time to consolidate each topic before the next arrives.
For many students, this is the year maths stops making sense. And for parents who want to help at home, the methods have changed, the explanations are unfamiliar, and there's no easy way to check whether an answer is actually right.
Our Solution
The Class Mathematics NSW Year 7 Coursebook was written by John Kinny-Lewis — a mathematics teacher with over 45 years of classroom experience — specifically to solve this problem.
Every topic is explained clearly, step by step, with fully worked solutions for every single question. Students can work through it independently, check their answers immediately, and fix mistakes in real time — without waiting for the next lesson or a weekly tutor session.
Why This Book Works
- Fully worked solutions for every question – clear, step-by-step methods students and parents can follow
- Clear explanations focused on understanding – not memorisation
- Hyperlinked solutions (ebook only) – click from a question straight to the solution
- Video support via QR codes – extra explanation when it's needed
- Fully aligned to the NSW Year 7 Mathematics syllabus
- Instant digital access, or a printed book with free shipping
Who This Book Is For
This book contains 13 chapters and includes the following topics:
- 1 Integers
- 2 Decimals
- 3 Fractions
- 4 Number Plane
- 5 Algebra and Equations
- 6 Angles
- 7 Percentages
- 8 Probability
- 9 Area and Volume
- 10 Whole Numbers
- 11 Geometry
- 12 Ratios, Rates and Time
- 13 Analysing Data
Each chapter includes clear theory, worked examples, graded practice questions, and fully worked solutions. QR codes throughout link to short video tutorials for additional support.
Integers
- Numbers Above and Below Zero
- Integers on a Number Line
- Ordering Integers
- Adding Integers
- Subtracting Integers
- Multiplying Integers
- Dividing Integers
- Order of Operations
- Integers Problems
Decimals
- Ordering Decimals
- Decimals and Fractions
- Adding and Subtracting Decimals
- Multiplying and Dividing by Powers of 10
- Multiplying Decimals by Estimating
- Multiplying with Decimals
- Dividing Decimals by Whole Numbers
- Dividing Decimals by Decimals
- Terminating and Recurring Decimals
- Rounding Decimals
- Decimal Problems
Fractions
- Fractions
- Ordering Fractions on a Number Line
- Adding and Subtracting Fractions
- Adding Mixed Numerals
- Subtracting Mixed Numerals
- Fractions of a Quantity
- Multiplying Fractions
- Multiplying Mixed Numerals
- Dividing Fractions
- Dividing Mixed Numerals
- Fraction Problems
Number Plane
- The Number Plane
- The Number Plane with Negative Numbers
- Graphing Table of Values
- Transformations
Algebra and Equations
- Law of Arithmetic
- Distributive Law
- Variables
- Words to Algebraic Expressions
- Substitutions
- Equations - Guess and Check
- One Step Equations (add and subtract)
- One Step Equations (multiply and divide)
- 2 Step Equations
- 2 Step Equations (harder)
- Equation Problems
Angles
- Naming Angles
- Measuring Angles
- Classifying Angles
- Complementary and Supplementary Angles
- Angles at a Point and Vertically Opposite Angles
- Parallel and Perpendicular Lines
- Corresponding Angles on Parallel Lines
- Alternate Angles on Parallel Lines
- Co-interior Angles on Parallel Lines
- Angles on Parallel Lines
- Proving Parallel Lines
Percentages
- Percentages and Fractions
- Percentages and Decimals
- Percentage of a Quantity (easy)
- Percentage of a Quantity (harder)
- Expressing Quantities as Fractions
- Expressing Quantities as Percentages
Probability
- Sample Spaces
- Probability
- Range of Probabilities
- Experimental Probability
- Complementary Events
Area and Volume
- The Metric System
- Perimeter
- Metric Units for Area
- Area of Rectangle
- Area of Triangle
- Area of Parallelogram
- Area of Composite Shapes
- Metric Units for Volume
- Volume of Rectangular Prism
- Volume of Composite Shapes
- Volume and Capacity
Whole Numbers
- Rounding and Estimating
- Multiplying Numbers
- Dividing Numbers
- Divisibility Tests
- Long Division
- Roman Numerals
- Powers and Index Notation
- Square Root and Cube Root
- Prime and Composite Numbers
- Prime Factors
- Greatest Common Divisor
- Lowest Common Multiple
Geometry
- Classifying Triangles
- Angle Sum of a Triangle
- Exterior Angle of a Triangle
- Classifying Quadrilaterals
- Angle Sum of a Quadrilateral
- Properties of Quadrilaterals
Ratios, Rates and Time
- Ratios
- Simplifying Ratios
- Ratio Word Problems
- Problems for Ratios (harder)
- Rates
- Rates (harder)
- Rate Problems
- Best Buys
- Time Calculations
- 24 Hour Time
- Time Difference
- Time Problems
- Travel Graphs
- Timetables
Analysing Data
- Interpreting Graphs
- Dot Plots
- Stem and Leaf Plots
- The Mean and Mode
- Median and Range
- Analysing Dot Plots and Stem and Leaf
Inside the book
See exactly how a topic is explained and how a solution is worked, before you buy.
SAMPLESample teaching pages — how a topic is explained
SAMPLESample worked answers — every question, fully solved
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