GCSE Maths Home Skip to Revise. 1. Lengths are given in centimetres. Previous 3D Trigonometry Practice Questions. (f) Calculate the area of the triathlon course bounded by the lines AB, BC and CA. (a) Calculate the horizontal distance, NH, of the plane from Neung. The builder digs up and removes the soil under the quadrilateral ABDC to a depth of 90 cm for the foundation of the house. (a) Use the cosine rule to show that \(AC = \sqrt{130-126cosd}\). Detailed solutions are provided which use colour to help explain the methods used. In National 4 Maths Trigonometry is used to find the size of a missing side or angle in a right-angled triangle using the sine, cosine or tangent ratios If AB = \(x+2\) metres and AC = \(2x+1 \) metres, find the value of \(x\) to three significant figures. (b) Calculate an estimate of the time taken to fly around the course. I will be working hard over the next couple of weeks to upload relevant resources and activate these links. Tracing paper may be used. The webcam is at point C directly above point D on the floor. compound interest compounded annually. (b) Calculate the cost of building the fence. Practice Questions; Post navigation. The course is viewed from a tower which rises vertically from point A. Questions (By Topic) 2 | P a g e FORMULAE LIST The roots of ax2 + bx + c = 0 are x = a b b ac 2 (2 4 ) ... Trigonometry 101 . (a) Calculate the size of acute angle DAB. (f) Calculate the vertical height, AT , of the tower. The triangle is right and the size one of its angles is 45°; the third angle has a size 45° and therefore … AB = 7.5cm, BC = 3.6cm, angle DAB = 98o, angle DBA = 49o and angle DBC = 80o. Created: Oct 6, 2018 | Updated: Oct 14, 2018. A set of exam questions to revise trigonometry. A video revising the techniques and strategies for using SOHCAHTOA for angles. They are: sine, cosine, and tangent, which get shortened to sin, cos, and tan. (f) Find the interest rate that the bank pays so that the investment will double in value in 12 years. GCSE 9-1 Exam Question Practice (Trigonometry) 5 79 customer reviews. This resource does not cover exact trig ratios and 3D trigonometry. Trigonometry is … This sheet covers Trigonometry in Right-angled Triangles (aka ‘soh cah toa’). The solutions to the questions on this website are only available to those who have a Transum Subscription. The diagram shows quadrilateral ABCD. Calculate the length of side BC to three significant figures. Calculate the length of BC to three significant figures. Edexcel GCSE Mathematics (Linear) – 1MA0 TRIGONOMETRY Materials required for examination Items included with question papers Ruler graduated in centimetres and Nil millimetres, protractor, compasses, pen, HB pencil, eraser. Further Maths; Practice Papers; ... Click here for Answers . (e) Find two positive values of \(x\) such that \( O\hat{P}A = 60^o\). The Corbettmaths Practice Questions on Trigonometry. Preview and details Files included (2) Whole lesson. (e) Calculate the value of the land that Christine sells. Trigonometry. GCSE Maths Pythagoras and Trigonometry Revision. Find the value of \(x\). AQA, OCR, Edexcel, WJEC. Ideal for GCSE revision, this worksheet contains exam-type questions that gradually increase in difficulty. GCSE Maths Revision Cards (242 Reviews) £ 8.99. Draw the description, create a triangle, label and solve. Exam questions on Trigonometry, Pythagoras and a combination of both. (c) Use your answer to part b to find angle ACB. In the diagram of triangle ABC (not to scale) D is a point on BC. (a) Find the two possible values for the angle A. The diagram shows parallelogram ABCD in which AD = \(x\) cm, DE = 12 cm and angle ABC = 30°, Prove that α, the size of angle CDE, is sin-1\( \left( \frac{x}{24} \right) \). The area of triangle ABC (not drawn to scale) is. Search for exam-style questions containing a particular word or phrase: To search the entire Transum website use the search box in the grey area below. (e) Find the total area of the shaded regions. (ii) Hence, or otherwise, find the area of triangle ACD. Previous topic GCSE Maths Home Search GCSE Maths Topics. Rectangle ABCD is the horizontal base of a trapezoidal prism ABCDEFGH. Sine, cosine, tangent. Author: Created by Maths4Everyone. (a) Find exact values of \( \tan \alpha \) and \( \tan \beta \). Practice questions and answers on every topic. All videos can be found at www.m4ths.com and www.astarmaths.comThese videos were donated to the channel by Steve Blades of maths247 'fame'. The course starts and finishes at point A. (b) How far is Melissa's brother from point A? as shown in the following diagram (not to scale). nearest USD. Christine invests 200 000 USD from the sale of the land in a bank that pays Explain, in terms of the positions of the points O, A and P, why this equation has a solution. jonesk5 Reformed functional skills whole course! you could enjoy now is trigonometry questions and answers gcse below. Consider the triangle ABC where AB=17cm, AC=14cm and the angle BAC = 118o. a straight fence from B to D. The fence costs 19 USD per metre to build. Read more. Find the length of BC. (a) Find the distance from B to C in kilometres. Author: Created by salma99. (b) Use the sine rule in triangle ABC to find another way of writing AC. She is moving at an average speed of 19 km/h, for 6 minutes, on a bearing of 125°. the nearest USD. GCSE Revision Cards. (d) Calculate the angle of elevation of H from M. The diagram (not to scale) shows a quadrilateral made up of a number of triangles. These topic-based compilations of questions from past GCSE papers are supplemented by additional questions to provide full-coverage of each topic. Give your Ready-to-use mathematics resources for Key Stage 3, Key Stage 4 and GCSE maths classes. For focussed practice. Which trigonometric ratio calculates the sin of x? Level 6-7 . (e) Determine, giving a reason, whether the course complies with the safety regulations. This means that most of the links on this page are not yet active. 5 6 customer reviews. 2. Trigonometry: The word trigonometry is very old. Trigonometry GCSE Maths Revision section covering: Sin, Cos, Tan, Pythagoras, Sine and Cosine Rule, Similar Triangles and Congruency. Her clinometer is 28 metres from the base of the tree and is on a tripod making it 1.5 metres above ground level. He next marks a fourth point, D, on the ground at a distance of 12m from B, such that angle BDC is 53o. Learn and revise trigonometric ratios of sine, cosine and tangent and calculate angles and lengths in right-angled triangles with GCSE Bitesize AQA Maths. The angle of elevation of F from M is 55.3o. A drone flying test course is in the shape of a triangle, ABC, with AB = 400m , BC = 600m and angle ABC = 44o. Now you can make this easier and filter out the irrelevant results. She has the zoom level adjusted so that that her head is framed nicely in the image produced. GCSE Higher: The diagram (not drawn to scale) shows a right-angled triangle. The top of the tower is point T. The angle of elevation of T from B is 8o. This is perfect to use following the end of a teaching unit on trigonometry, right before we start to look at application questions 2. answer to the nearest metre. In fact the Ancient Greeks drew all this up. The diagram shows a circle of radius 8.6cm with points ABCD on the (d) Find the volume of the soil removed. Edexcel GCSE Mathematics (Linear) – 1380 Paper 4 (Calculator) Trigonometry Past Paper Questions Arranged by Topic Materials required for examination Items included with question papers Ruler graduated in centimetres and Nil millimetres, protractor, compasses, pen, HB pencil, eraser, calculator. Christine decides to sell the triangular portion of land ABD. SOH CAH TOA [Solutions] 3D Trigonometry [GCSE Questions] 3D Trigonometry [Solutions] Sine and Cosine Rule [GCSE Questions] Sine and Cosine Rule [Solutions] Area of a Triangle. Give your answer to the nearest minute. BC = 20cm, DC = 150mm, GC = 74mm, HG = 86mm and AE = BF. (b) Given that A is obtuse, find the length of the side BC. The Corbettmaths Textbook Exercise on Trigonometry. Calculate the length of side BC to three significant figures. 6 | P a g e 2003 P1 4 2003 P2 1 4 2004 P1 2 2004 P1 3 SOH CAH TOA [GCSE Questions] Trigonometry. \[sin\: x = \frac{opposite}{hypotenuse}\] \[sin\: x = … Advice •• Read each question carefully before you start to answer it. A man is working out the height of a vertical tree. (f) Consider the equation \( f(x) = 1 \). Advanced Trigonometry. The area of triangle ABD is 333 cm2 and AD = 21 cm and AB = 33cm. Tracing paper may be used. Preview. (d) Find the size of angle \( O\hat{P}A \) in degrees when \(x=5\). Calculate the length of AB giving your answer correct to three significant figures. AB = 15.4cm, BD = 8.1cm, angle CAD = 23o and angle ABD = 32o. She sells the land for 110 USD per square metre. 5-a-day GCSE 9-1; 5-a-day Primary; 5-a-day Further Maths; 5-a-day GCSE A*-G; 5-a-day Core 1; More. The wording, diagrams and figures used in these questions have been changed from the originals so that students can have fresh, relevant problem solving practice even if they have previously worked through the related exam paper. Neung is at Bangkok's Suvarnabhumi Airport watching the planes take off. Instructions Use black ink or ball-point pen. (c) Calculate the distance, in kilometres, from A to B. %PDF-1.6 %���� The length of BC is 180 m, the length of CD is 70 m, the length of AD is 90 m, the size of angle BCD is 82° and the size of angle BAD is 102°. Mixed Pythagoras & Trigonometry Questions - Go Teach Maths: 1000s of free resources Revision For these questions make sure you sketch it out! (c) Show that the size of angle ABD is 28.6°, correct to three significant figures. Emma sails in a small dinghy from point A in a straight line to a buoy at point B. The man is able to measure the angle of elevation of the top of the tree from his measuring instrument. These include questions on the Sine rule, Cosine rule and use of the formula, Area =½absinC. Give your answer correct to He walks into the room from the door at the opposite end of the room from Melissa's computer. These review sheets are great to use in class or as a homework. Do you have any comments about these exam-style questions? EF is parallel to AB. A builder marks out three points A, B and C on the ground such that AB = 11m , AC = 15m and angle BAC = 124o. 1. To comply with safety regulations, the area inside the triangular course must be kept clear of people, and the shortest distance from B to AC must be greater than 275 metres. (a) Show that \(PA = \sqrt{x^2 - 20x + 136} \), (b) Write down a similar expression for \(OP\) in terms of \(x\). The point P moves along the horizontal line \(y = 8\). (b) Calculate the speed, in kilometres per hour, that Walter runs from C to A. Trigonometry Questions And Answers Gcse Trigonometry. �,�P �3�hA" .��L����l��fspCY��&� %����4>���� ���{Z��w��N��_R���a����_�R�}�&Zc,��6ҳx\�K�X��ZA[4.�d֐�,�5��1�� l���C���6�D�DőT���{�@2=鍺���E��h�k D�f���+����,μ�[5oh�S~��`��0b)β�B�=,z�ۘE�&gxN����a�3�������s�{"y�8T�p���>. She first builds (b) The midpoint of AD is F. Use the cosine rule to calculate the length of BF. The angle \( \beta \) is obtuse and \( \sin \beta = \sqrt \frac{2}{3} \). Was it important? KS2 SATS QUESTIONS; GCSE REVISION SHEETS; ... TRIGONOMETRY AND PYTHAGORAS. The distance from A to C is (c) Find the distance from point A to point C. (e) Emma’s friend Eamonn wants to swim directly from point A to point C. Find the bearing that Eamonn must take to point C. (f) Eamonn swims at an average speed of 3.2 km/h. GCSE maths Trigonometry exam questions WITH ANSWERS. Videos, worksheets, 5-a-day and much more Click here to enter your comments. (b) Find the exact area of this triangle. He continues to walk until the top of his head is in shot at which points he stops. ABC is a triangular car park on horizontal ground. In triangle ABC, the length of AB = 5cm, AC = 13cm and \( \cos B \hat AC = \frac18 \). The distance from C to A is 4 kilometres. H is the midpoint of the flag pole. The diagram shows the setup. (b) Calculate the angle ATH, the take-off angle of the plane to the nearest degree. It is always useful to receive feedback and helps make this free resource even more useful for those learning Mathematics anywhere in the world. Give your answer correct to the An arborist sights the top of a tree using a clinometer and reads the angle of elevation to be 29o. Resource set includes a levelled activity with progressively harder questions. Katie kicks a football towards a goal. Trigonometry in real life. ABC is a right-angled triangle as shown in the diagram below. Revise trigonometric ratios of sine, cosine and tangent and calculate angles in right-angled triangles with this Bitesize GCSE Maths Edexcel guide. In a revision lesson. (d) Calculate the total distance, in kilometres, of the triathlon course. Find, to the nearest minute, the time it takes for Eamonn to reach point C. The diagram shown the origin O (0,0) and a fixed point A(10,2). 758 0 obj <>stream (b) Show that FD = 242 mm correct to 3 significant figures. Share with … Preview. Check your answers if you have time at the end. 1. Powered by https://www.numerise.com/This video is a tutorial on Trigonometry and Pythagoras. The cosine of acute angle \( \alpha \) is \( \frac{1}{ \sqrt 5} \). Works well for revision or even a lesson where pupils build up to recognizing both … 25 minutes. (c) Find the area of the quadrilateral ABDC. When he reaches point A his feet first appear in the video being recorded by the webcam. Give your answer in m3. Worked Solution. Give your answer in m3. Trigonometry Questions, Revision and Worksheets. Well, for one thing it allowed them to estimate the distance to the Sun! Find angle ABC. 5 | P a g e Algebra 2001 P1 3 2002 P1 3 2002 P1 1 2 2002 P1 2 2002 P2 1 1 1 3 2003 P1 3. Let this expression for the cosine of \( O\hat{P}A \) be defined as function \(f\). In triangle ABC, AB = 7cm and AC = 9cm. The length of AB is 90m and the length of AC is 65m. For GCSE Maths coursework and exams for students, parents and teachers. Melissa's younger brother is 95cm tall. Videos, worksheets, 5-a-day and much more Competitors swim from A to B, then cycle from B to C and finally run from C back to A. circumference of the circle. Trigonometry. 4 m and the distance from A to B is 1.3 m. Angle ACB is 16o. Restrict your search results using the search tools to find only free Google eBooks. It takes Walter 10 minutes and 20 seconds to cycle from B to C at a speed of 29kmh-1. Free. GCSE 9-1 Exam Question Practice (Trigonometry) FREE (79) Maths4Everyone GCSE 9-1 Exam Question Practice (Circle Theorems) FREE (74) Popular paid resources. Christine owns a four sided piece of land shown in the diagram below as ABCD. (e) Find the volume of a drum. Next Exact Trigonometric Values Practice Questions. PLEASE NOTE: This navigation system is still under development. Worksheets & Exam Questions. (b) Find the area of the triangular car park. The plane took off from a point T, which is 230 metres from where Neung is standing, This carefully selected compilation of exam questions has fully-worked solutions designed for students to go through at home, saving valuable time in class. www.justmaths.co.uk Trigonometry (H) - Version 2 January 2016 Trigonometry (H) A collection of 9-1 Maths GCSE Sample and Specimen questions from AQA, OCR, Pearson-Edexcel and WJEC Eduqas. (d) \(\sin x = \cos 38^o, 0^o \le x \le 180^o\), Find the two values of \(x\). When it comes to the higher paper, you may often find questions that are wordy and require trigonometry. The Tamarack triathlon race consists of swimming, cycling and running. • Higher tier questions and model answers (2 PDF files) • Editable questions (1 Word 2016 file) This resource contains 15 Higher tier questions, in the style of the Edexcel GCSE exam papers. Find the exact value of tan45° × sin30° × cos30°. Trigonometry is the study of triangles. Bundle. A vertical flag pole, FB, is erected in one corner of the car park with its base at B. The diagram is not to scale. 4 | P a g e . Pearson Edexcel Level 1/Level 2 GCSE (9 - 1) Related Topics Next topic. Trigonometry math tests for GCSE maths. • Keep an eye on the time. In this topic, we’re going to focus on three trigonometric functions that specifically concern right-angled triangles. Tutorials, tips and advice on Trigonometry. The marks for each question are shown in brackets – use this as a guide as to how much time to spend on each question. Areas of Shapes Worksheets, Questions and Revision. The diagram (not drawn to scale) shows a right-angled triangle. Melissa has a webcam on the top of her computer screen. �f{����4d�x�t�k` L��#� ��+�ׇ�� o~e^6{�E�M�)�S�%n�Q�e:���fi���g9���!��Tѳ�/[�Կ� *~j̬b3�ee"���y��A?�2Ϩ�ϖ].m$x��m�,�Mnψ�.�|�d��ڲ85�xw��q�.9�A�A��1�$�ݪ�zFU��p3Ath�c⥨>��P���8��h�W�H?���PgP�d�P���M�P ��в0��fet�6��Z�j����X��N��(f������]m�u"�yW�g#�/��T�5hy�1�4�I�t��FG4,�T�����z�Đ'=�6�';�yc��Z��K�H@NP�1u�C��L�G�z�z�B�`�'E+�I��lǷx)��&+a�? • Try to answer every question. (a) Calculate the total length of the course to the nearest metre. (f) Find the minimum number of drums required to transport the soil removed. Running this part of the course takes Walter To transport the soil removed, the builder uses cylindrical drums with a diameter of 46cm and a height of 70cm. Higher and foundations cards available. (c) (i) Hence find the value of \(d\), assuming it is an obtuse angle, giving your answer to two the nearest degree. It is estimated that a drone can travel at an average speed of 4.5ms–1. Eg. Created: Oct 20, 2017 | Updated: Jan 17, 2019. Take an Online Exam. (a) find the value of \( \sin B \hat AC \), In the diagram above (not drawn to scale), AB=12mm, BC=8mm and angle ABC=123o. Calculate the length of the side marked \(x\). Find lengths and angles in right-angled triangles using trigonometry. The diagram shows a trapezium where the sides AC and BD are parallel. (g) Find the exact solution of \( f(x) = 1 \). (d) Calculate the area that must be kept clear of people. If, like me, you have a class of Year 11s who would benefit from some additional trigonometry practice, then give them this resource. The exam-style questions appearing on this site are based on those set in previous examinations (or sample assessment papers for future examinations) by the major examination boards. (d) (i) Find \(b\) to three significant figures. The angle marked \(x\) in the diagram below is obtuse. The area covered by the camera is shown by the shaded region enclosed by triangle ABC. Using Sine of the Angle [GCSE Questions] Area of a Triangle. Loading... Save for later. (a) Write down the exact value of \(\tan 60^o\). The size of angle BCA is 68o. The diagram, not drawn to scale, shows a quadrilateral ABCD. All major GCSE maths topics covered. Sine and cosine in a right angle triangle, finding angle in a triangle using sine and cosine. View Product. All exam boards e.g. Level 1-3 . The area of the triangle is 20cm2. (a) Find the distance from point A to point B, (b) When Emma arrives at point B she changes direction and sails to point C on a bearing of 230° and 1 km away. He observes a plane that is at an angle of elevation of 25o from where he is standing at point N. The plane is at a height of 390 metres as can be seen in the following diagram (not to scale). Exam-Style Questions on Trigonometry Problems on Trigonometry adapted from questions set in previous Mathematics exams. Make sure you are happy with the following topics before continuing.