Explore free maths practice tests, worked examples and student-friendly guides for NSW primary and high-school students. Resources cover algebra, fractions, percentages, geometry, probability, number skills and other Years 1–10 maths topics. Students can practise questions, review step-by-step solutions and strengthen important skills without creating an account.
Make multiplication easy for kids! Learn multiplication easily with our fun Material and Free practice tests. Discover the rules, stages of learning, and the best ways to memorize times tables in Sydney.
Learn the Pythagorean Theorem and solve right-angled triangle problems easily. This article includes the formula, examples, and practice with common Pythagorean triples to boost your math skills and exam confidence.
Year 4 NSW Math Practice Tests (Stage 2) cover expanded number concepts (place value, fractions), geometry, and real-life applications. Expect easy (basic arithmetic), medium (intermediate arithmetic), and hard (advanced place value, fractions, area, problem-solving) tests.
Logarithms are essential for students due to their foundational role in higher mathematics, their ability to simplify complex calculations, and their widespread applications in science, technology, and problem-solving. Get easy-to-understand theory, Formulae, and Interactive Exam-Style Questions with Instant Scoring and Detailed Explanations.
Simple interest is the extra money earned or paid on the original amount of money.
Formula: Simple Interest = (Principal * Rate * Time) / 100
Where:
– P = Principal amount
– R = Rate of interest per year (The rate is the whole number as shown. Eg. For 5%, use R = 5..)
– T = Time in years
Trigonometry is an important topic in the NESA Mathematics syllabus for NSW high school students. This guide explains SOH CAH TOA for right-angled triangles, the sine, cosine and tangent ratios, the cosine rule, the area rule, and the CAST rule for the four quadrants. It is designed to help students understand formulas, choose the correct method, and practise exam-style trigonometry questions.
The Cartesian Plane and Number Plane theory covers plotting points, quadrants, line equations, slope, distance, and midpoint formulas with step-by-step explanations and exercises. It also explains the relationships between parallel and perpendicular lines and how to draw a line from a given equation. For personalized tutoring, students can contact Aussie Math Tutor NSW via phone, WhatsApp, or email to book a session.
Learn Parabola theory, equations, maximum/minimum points, dilation, and how to sketch or derive its equation from a graph. Step-by-step guides and examples help students understand and apply key concepts effectively. For personalized math support, students can contact Aussie Math Tutor NSW via phone, WhatsApp, or email to book a session.
All Squares, Rectangles, Rhombuses are Parallelograms. Hence,
Area of a Parallelogram, Rhombus, Rectangle & Square = Base × Perpendicular height
Area of a Rhombus, Square and Kite = ½ × d₁ × d₂
A triangle can be thought of as half of a parallelogram. Therefore:
Area of a Triangle = ½ × Base × Perpendicular Height
For a trapezium, we take the average of the two parallel sides and multiply it by the perpendicular height:
Area of a Trapezium = ½ × (a + b) × h
Area of a Circle = πr²
Fractions are a key part of mathematics in NSW schools. This guide explains what fractions are, how to simplify them, and the rules for addition, subtraction, multiplication, and division. Includes step-by-step examples and real-life applications.
