The Pythagoras Theorem Made Easy with Free Practice Test

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.
The Pythagoras Theorem

What is the Pythagoras Theorem?

The Pythagoras Theorem Description

According to the Pythagoras Theorem, The Square on the hypotenuse IS EQUAL TO The Sum of the squares on the other two sides.

What are the most important Pythagorean triples every student in Sydney, NSW, should know for the math exam?

Check the common Pythagoras Triplets which will be useful to students in Sydney, NSW. Generally, most of the questions on Pythagoras Theorem will be based on the following numbers also known as Pythagoras Triplets.

  • (3, 4, 5)

  • (5, 12, 13)

  • (6, 8, 10)

  • (7, 24, 25)

  • (8, 15, 17)

  • (9, 12, 15)

  • (9, 40, 41)

  • (11, 60, 61)

  • (12, 35, 37)

  • (13, 84, 85)

Why is the Pythagorean Theorem important?

The Pythagorean theorem is one of the most important and popular geometry theorems and has a wide range of applications in numerous fields.

Here’s why it’s important:

1. Whenever you see a right-angled triangle, there is a strong possibility that the Pythagorean theorem will be applied, as it makes it easier to find an unknown side of the triangle.

2. The Pythagorean theorem has applications in the fields of geometry, navigation, engineering, physics, trigonometry, and architecture.

Essentially, the Pythagorean theorem provides a fundamental framework for understanding spatial relationships and making calculations in a two-dimensional world.

 

Pythagorean Theorem Easy Practice Test

Pythagorean Theorem Easy Practice Test

Pythagoras Theorem Applications

Ever wonder how builders ensure walls are square or how sailors navigate using distances? That’s the power of Pythagoras’ Theorem in action! For Sydney and NSW students, tackling word problems isn’t just about numbers; it’s about unlocking this real-world magic. These puzzles sharpen your detective skills, making you spot hidden right triangles and use the famous to solve mysteries of length and distance. 

Pythagoras Advanced Practice Test

Pythagoras Advanced Practice Test

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Free Math Practice tests on various math topics

Sharpen your math skills with interactive exam‑style questions. Our free math practice tests based on NAPLAN and NSW Curriculum provide instant scoring and detailed explanations so you know exactly where to improve. Whether you’re preparing for school exams or just want to stay ahead, we’ve got you covered.

Attempt the questions on the following math topics. Click on Submit. Get your results. The right answers will be highlighted with explanations in green, whereas wrong answers will be highlighted in red.

Why You’ll Love These Math Practice Tests

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Each test mimics real exam conditions with multiple choice questions, timers and instant feedback. Practise until you’re confident.

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From basic arithmetic to trigonometry and logarithms, our practice tests cover the topics that matter most to students in Years 1–10.

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Revisit topics, see your improvement over time and focus your study where it’s needed most. Build confidence with each completed test.

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