Pythagoras theorem questions gcse. 1) … Pythagoras (2D and 3D): Diagnostic Questions.
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Pythagoras theorem states that for all right-angled triangles, 'The square on the hypotenuse is equal to the sum of the squares on the other two sides'. Questions and model answers on Pythagoras & Trigonometry for the AQA GCSE Maths: Higher syllabus, written by the Maths experts at Save My Exams. Pythagoras' Theorem and Basic Trigonometry 2 (H) MS; Pythagoras' 4. Resource type: A double-sided PDF worksheet with questions and answers on Pythagoras’ Theorem. Help your students prepare for their Maths GCSE with these free Diagnostic Questions on Pythagoras. Previous: Changing the Subject Practice Questions For many IGCSE GCSE maths questions you will have to calculate lengths in polygons. Diagram NOT accurately drawn Work out the value of x. Age range: 11-14. 77 201 This worksheet provides a mixture of different types of practice Learn about and revise how Pythagoras’ theorem can be used to calculate the sides of right-angled triangles with GCSE Bitesize AQA Maths. p. Find the height of the cone. Subject: Mathematics. All question sets are taken from past papers, except for the third set, which features topic tests. Interleaving Maths Resources. 5-a-day Workbooks. 3 cm A1 Find length BC 5. Auntie Lil. The hypotenuse is the longest side and it's always opposite the right angle. Example 1: This proves Pythagoras’ theorem: c 2 = a 2 + b 2 GCSE. Maths Links. AQA Past Paper Questions Question 2; Harder. Read each question carefully before GCSE (1 – 9) Pythagoras Name: _____ Instructions • Use black ink or ball-point pen. Get your free pythagoras theorem worksheet of 20+ questions and answers. Along with Stepwise Solutions, Timing, PDF download to boost your the GCSE Maths Grades. Pythagoras’ Theorem can also be extended for use in 3 dimensional problems. All these questions require the use of Pythagoras' Theorem. 1. Pythagoras’ theorem is a really useful tool for finding the missing length in right-angled Learn about and revise how Pythagoras’ theorem can be used to calculate the sides of right-angled triangles with this Bitesize GCSE Maths Edexcel guide. Resource type: Worksheet/Activity. (Total for Question 1 is 3 marks) Must Practice GCSE (9-1) Maths 3D Pythagoras Theorem Past Paper Questions. These review sheets are great A collection of 9-1 Maths GCSE Sample and Specimen questions from AQA, OCR, Pearson-Edexcel and WJEC Eduqas. GHJ is a right-angled triangle. The 2025 GCSE exam timetable for your device. Exam Style Questions Ensure you have: Pencil, pen, ruler, protractor, pair of compasses and eraser You may use tracing paper if needed Guidance 1. Example – Consider then cuboid with sides of length 12km, 7km and 5km. Pythagoras' theorem allows us to calculate lengths in right-angled triangles. He is most famous for Pythagoras’ theorem, which includes the important formula for right-angled GCSE Maths GCSE Science Membership Back to Edexcel Pythagoras’ Theorem (F) Home Pythagoras’ Theorem: Quiz 1. They are suitable for AQA, Edexcel Know the formula for Pythagoras' Theorem `a^2 + b^2 = c^2` Apply it to find length in right angled triangles in two dimensional figures; The subject content (above) matches that set out in the Questions and model answers on 3D Pythagoras & Trigonometry for the AQA GCSE Maths: Higher syllabus, written by the Maths experts at Save My Exams. www. There are many examples and questions for students One ancienct Greek mathematician and philosopher, Pythagoras (c. Find the length of side CD to 1 d. Visit now! You can practice GCSE Maths topic-wise Next: Pythagoras Extra Practice Questions GCSE Revision Cards. Give your answer correct to one decimal place. Determining whether a triangle is right-angled 3. You may use a calculator for all of the questions in this quiz. GCSE Pythagoras in 3D. * Here is part of a field. 5-a-day GCSE 9-1; 5-a-day Primary; 5-a-day Further Maths; More. Pythagoras’ theorem states that for any right-angled triangle, the square of the length of the hypotenuse (the side opposite the right Pythagoras Theorem Worksheet - KS3/GCSE. A farmer wants to put a fence all the way around the edge of this part of the field. 92 7038 reviews. Pythagoras’ theorem can be applied The diagram shows a field in the shape of a trapezium. GCSE Biology Revision; GCSE Chemistry Revision; GCSE Physics Revision; 4. This video covers everything you need Pythagoras’ Theorem (H) A collection of 9-1 Maths GCSE Sample and Specimen questions from AQA, OCR, Pearson-Edexcel and WJEC Eduqas. Integers Quiz. Maths Tutoring for Schools. Finding the distance between 2 points 4. 3 cm © 2017 Maths4Everyone. (not at On this page you can find past paper questions separated by topic and topic tests, for both Foundation and Higher tiers. Edexcel GCSE Maths . Make sure you are happy with the following topics Past paper questions by topic with mark schemes, model answers and video solutions for Pythagoras’ Theorem (Higher) of Edexcel Maths GCSE (9-1). Quiz 1; B) Not finding the Hypotenuse. 17 A video revising the techniques and strategies for using Pythagoras Theorem. This carefully selected compilation of exam questions has fully-worked solutions designed for students to go through at home, saving Help your students to prepare for the GCSE maths exam with these exam style Geometry questions on Pythagoras’ theorem. We can use it to determine a missing length when given the two other lengths. 6𝑐? 9𝑐? (b) Find the There are notes with worked examples, worksheets with solutions, questions by topic for Foundation and Higher tiers with mark schemes on this GCSE Maths Geometry and Measures revision page. . Pythagoras’ theorem can be applied to solve 3-dimensional problems. This is known Ready-to-use mathematics resources for Key Stage 3, Key Stage 4 and GCSE maths classes. Content. Get now. 4. A) Introduction & Finding the Hypotenuse. AQA IGCSE Philosophy Topic Questions Past Papers Revision Notes Practice Papers Questions cover using the formula a² + b² = c² to find missing sides in right-angled triangles, including the hypotenuse and shorter sides, in both 2D and 3D. x = . Pythagoras' theorem will Pythagoras Past Paper Questions Q1. Answers and a mark scheme for all Pythagoras Theorem questions; Follows variation theory GCSE Maths GCSE Science Membership Back to Edexcel Pythagoras’ Theorem (H) Home Pythagoras’ Theorem: Quiz 2. Pythagoras’ theorem can be used to calculate the length of any side in a right-angled triangle. He is most famous for Pythagoras’ theorem, which includes the important formula for right-angled Ideal for GCSE revision, this worksheet covers Pythagoras’ Theorem and contains exam-type questions that gradually increase in difficulty, with the last question adding a little extra twist. 3. (4 marks) 5. 5. If you need a little revision GCSE (1 – 9) 3d Pythagoras and Trigonometry Name: _____ Instructions • Use black ink or ball-point pen. • Answer all Questions. This lesson is about being able to solve real-life problems involving Pythagoras’ Theorem. Some questions may requires more than one 2D right-angled triangle. Here’s a copy of the written answers: QT Pythagoras Theorem ANSWERS. Includes reasoning and applied questions. GCSE Questions by Topic. The longest side of a right-angled triangle is called the hypotenuse. 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Scaffolded note at the top of the sheet with 9 problems to be solved. Last updated. Here is a selection of free resources to get you Revision notes on 3D Pythagoras & Trigonometry for the Edexcel GCSE Maths syllabus, written by the Maths experts at Save My Exams. Calculate the length of GJ. Angle = angle = . hypotenuse² = opposite² + adjacent² . It is very important to label the Pythagoras’ Theorem Exam Practice (3 marks 3. Consider the triangle formed by this line, the line which goes from the The Pythagoras Theorem worksheet contains 15 multiple choice questions, with a mix of worded problems and deeper problem solving questions. co. Let’s say we have a plane that travels from point A to Learn about and revise how Pythagoras’ theorem can be used to calculate the sides of right-angled triangles with GCSE Bitesize AQA Maths. It costs to GCSE Revision Cards. com Question 1: For each right angle triangle below, work out x (a) (b) (c) Question 2: Calculate x Give each answer to 2 decimal This resource contains all of the Pythagoras’ Theorem questions that have come up in the Edexcel GCSE maths papers to date (Autumn 2021), arranged as a printable worksheet. uk Pythagoras’ Theorem (F) - Version 3 January 2016 Pythagoras’ Theorem (F) A collection of 9-1 Maths GCSE Sample and Specimen questions from AQA, OCR, (Total for question = 3 marks) Q8. Primary Programmes – NEW: AI Voice Tutor for Primary Schools If we draw a line from the apex at E down to the centre of the base, then that line represents the perpendicular height, since we know the apex is directly above the centre. justmaths. A right angled triangle Questions and model answers on Pythagoras & Trigonometry for the Edexcel GCSE Maths: Higher syllabus, written by the Maths experts at Save My Exams. Learn about and revise how Pythagoras’ theorem can be used to calculate the sides of right-angled triangles with GCSE Bitesize AQA Maths. These types of questions appear in all the main GCSE exam Free 3D pythagoras GCSE maths revision guide including step by step examples, and free 3d pythagoras worksheet and exam questions. The hypotenuse will always PYTHAGORAS SOLUTIONS GCSE (+ IGCSE) EXAM QUESTION PRACTICE IGCSE EXAM QUESTION PRACTICE DATE OF SOLUTIONS: 15/05/2018 MAXIMUM MARK: 52 1. The worksheet has skill and mastery questions and a full marking grid so students have a gap-analysis of what they understand and Solution: Step #1: If we want to showcase the 3D Pythagorean theorem, then it is a must that we completely understand its definition. 7 cm. It includes 14 multiple choice questions testing students' ability to use Pythagoras' theorem to calculate missing lengths in Download a copy of the questions here: QT Pythagoras’ Theorem – Challenging. Question 1; . This resource is for GCSE Higher revision but can be used for KS3. Label the sides of the triangle. . As you will notice Past paper questions by topic and topic tests with mark schemes for AQA Maths GCSE (9-1) Geometry and Measures. Give your answer correct to 3 significant figures. It costs to This lesson can be used for revision for the higher Maths GCSE. 6 cm x cm 3. (Total for Question is 3 marks) Q2. He is most famous for Pythagoras’ theorem, which includes the important formula for right-angled Must Practice GCSE (9-1) Maths Pythagoras Theorem Past Paper Questions. 9 Pythagoras’ Theorem. Topic specific exam Pythagoras Theorem Who is Pythagoras? Pythagoras was a Greek mathematician who lived over 2500 years ago. GCSE Maths Revision: Pythagoras Theorem Worksheet. Diagnostic questions are a quick and easy way of assessing your students’ knowledge and understanding of a particular topic; GCSE; Edexcel; Pythagoras' theorem - Edexcel Test questions. 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