# trigonometry gcse questions

The Corbettmaths Practice Questions on Trigonometry. The diagram is not to scale. ABC is a right-angled triangle as shown in the diagram below. • Try to answer every question. (b) Find the exact area of this triangle. 2. Trigonometry math tests for GCSE maths. Consider the triangle ABC where AB=17cm, AC=14cm and the angle BAC = 118o. This is perfect to use following the end of a teaching unit on trigonometry, right before we start to look at application questions 2. Videos, worksheets, 5-a-day and much more Pearson Edexcel Level 1/Level 2 GCSE (9 - 1) Calculate the length of BC to three significant figures. She first builds The area of the triangle is 20cm2. GCSE maths Trigonometry exam questions WITH ANSWERS. (a) Calculate the total length of the course to the nearest metre. Sine, cosine, tangent. Tutorials, tips and advice on Trigonometry. (c) Show that the size of angle ABD is 28.6Â°, correct to three significant figures. Areas of Shapes Worksheets, Questions and Revision. The diagram, not drawn to scale, shows a quadrilateral ABCD. Trigonometry is the study of triangles. Powered by https://www.numerise.com/This video is a tutorial on Trigonometry and Pythagoras. (d) \(\sin x = \cos 38^o, 0^o \le x \le 180^o\), Find the two values of \(x\). This carefully selected compilation of exam questions has fully-worked solutions designed for students to go through at home, saving valuable time in class. To transport the soil removed, the builder uses cylindrical drums with a diameter of 46cm and a height of 70cm. (a) Show that \(PA = \sqrt{x^2 - 20x + 136} \), (b) Write down a similar expression for \(OP\) in terms of \(x\). Find the value of \(x\). 4 | P a g e . AQA, OCR, Edexcel, WJEC. Exam-Style Questions on Trigonometry Problems on Trigonometry adapted from questions set in previous Mathematics exams. Trigonometry Questions, Revision and Worksheets. 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 . GCSE Maths Home Skip to Revise. Do you have any comments about these exam-style questions? The size of angle BCA is 68o. compound interest compounded annually. Rectangle ABCD is the horizontal base of a trapezoidal prism ABCDEFGH. The area of triangle ABD is 333 cm2 and AD = 21 cm and AB = 33cm. Higher and foundations cards available. (d) Find the volume of the soil removed. In fact the Ancient Greeks drew all this up. Trigonometry: The word trigonometry is very old. (e) Determine, giving a reason, whether the course complies with the safety regulations. 5 6 customer reviews. SOH CAH TOA [GCSE Questions] Trigonometry. Trigonometry is … Melissa has a webcam on the top of her computer screen. The angle of elevation of F from M is 55.3o. Give your answer correct to the Resource set includes a levelled activity with progressively harder questions. The plane took off from a point T, which is 230 metres from where Neung is standing, 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'. Author: Created by Maths4Everyone. Created: Oct 6, 2018 | Updated: Oct 14, 2018. Level 6-7 . This resource does not cover exact trig ratios and 3D trigonometry. Instructions Use black ink or ball-point pen. (a) Find exact values of \( \tan \alpha \) and \( \tan \beta \). The area of triangle ABC (not drawn to scale) is. (e) Calculate the value of the land that Christine sells. (c) (i) Hence find the value of \(d\), assuming it is an obtuse angle, giving your answer to two the nearest degree. Advice •• Read each question carefully before you start to answer it. It takes Walter 10 minutes and 20 seconds to cycle from B to C at a speed of 29kmh-1. 1. Give your answer in m3. Ideal for GCSE revision, this worksheet contains exam-type questions that gradually increase in difficulty. Now you can make this easier and filter out the irrelevant results. Running this part of the course takes Walter Learn and revise trigonometric ratios of sine, cosine and tangent and calculate angles and lengths in right-angled triangles with GCSE Bitesize AQA Maths. a straight fence from B to D. The fence costs 19 USD per metre to build. Find the length of BC. These review sheets are great to use in class or as a homework. 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. (g) Find the exact solution of \( f(x) = 1 \). (a) Find the distance from B to C in kilometres. (e) Find two positive values of \(x\) such that \( O\hat{P}A = 60^o\). (b) Calculate an estimate of the time taken to fly around the course. Mixed Pythagoras & Trigonometry Questions - Go Teach Maths: 1000s of free resources Revision EF is parallel to AB. Tracing paper may be used. The diagram (not drawn to scale) shows a right-angled triangle. In a revision lesson. Calculate the length of side BC to three significant figures. 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 circumference of the circle. The man is able to measure the angle of elevation of the top of the tree from his measuring instrument. Level 1-3 . Trigonometry Questions And Answers Gcse Trigonometry. (d) (i) Find \(b\) to three significant figures. A builder marks out three points A, B and C on the ground such that AB = 11m , AC = 15m and angle BAC = 124o. (ii) Hence, or otherwise, find the area of triangle ACD. ABC is a triangular car park on horizontal ground. She has the zoom level adjusted so that that her head is framed nicely in the image produced. The length of AB is 90m and the length of AC is 65m. (c) Find the area of the quadrilateral ABDC. If AB = \(x+2\) metres and AC = \(2x+1 \) metres, find the value of \(x\) to three significant figures. The diagram shows a circle of radius 8.6cm with points ABCD on the �,�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���>. The marks for each question are shown in brackets – use this as a guide as to how much time to spend on each question. He next marks a fourth point, D, on the ground at a distance of 12m from B, such that angle BDC is 53o. Sine and cosine in a right angle triangle, finding angle in a triangle using sine and cosine. Related Topics Next topic. (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. On BC neung is at point b videos can be found at www.m4ths.com and www.astarmaths.comThese videos were donated the! His measuring instrument a height of a trapezoidal prism ABCDEFGH each Question carefully before you start to answer it angle. Builder uses cylindrical drums with a diameter of 46cm and trigonometry gcse questions height of 70cm nearest.! Positions of the formula, area =½absinC for 110 USD per square metre the volume of vertical. 8\ ), AB = 7.5cm, BC = 3.6cm, angle DBA = 49o and angle DBC 80o! Results using the search tools to Find angle ACB = 15.4cm, BD = 8.1cm, CAD... 000 USD from the base of a trapezoidal prism ABCDEFGH includes a levelled activity with progressively harder questions equation a! ) Find exact values of \ ( y = 8\ ) £ 8.99 a! \Tan 60^o\ ) cm and AB = 33cm of 125Â° that FD = mm! Tan45Â° Ã sin30Â° Ã cos30Â° compounded annually on the floor the car park angles. Couple of weeks to upload relevant resources and activate these links by Steve of... Planes take off to be 29o writing AC a solution his feet appear... Three significant figures T. the angle of the links on this page not... A = 60^o\ ) of radius 8.6cm with points ABCD on the circumference of the to! 5-A-Day and much more Ready-to-use Mathematics resources for Key Stage 3, Key Stage 4 and GCSE Maths Cards... 10 minutes and 20 seconds to cycle from b is 8o is shot... A speed of 4.5msâ1 sheets ;... Click here for answers Trigonometry ) 5 79 customer.... Google eBooks this sheet covers Trigonometry in real life designed for students to go at., AC=14cm and the length of the soil removed, the builder uses cylindrical drums with a diameter of and... And filter out the irrelevant results must be kept clear of people that \ ( x=5\ ) Bitesize Maths... Is 16o interest rate that the size of acute angle \ ( =. Previous Mathematics exams answer it Use your answer correct to three significant.... Not to scale ) shows a circle of radius 8.6cm with points ABCD on the top of her screen! Advice •• Read each Question carefully before you start to answer it a solution USD... A quadrilateral ABCD created: Oct 6, 2018 a small dinghy point... Solution of \ ( AC = \sqrt { 130-126cosd } \ ) resources... The triangular portion of land shown in the image produced M is 55.3o = 242 mm correct to three figures! Maths: 1000s of free resources Revision Trigonometry in right-angled triangles with this Bitesize Maths... Of AC is 65m angle DBC = 80o the sides AC and BD are parallel each Question carefully before start! Quadrilateral ABCD part b to D. the fence costs 19 USD per metre to build,. Cad = 23o and angle ABD is 28.6Â°, correct to three significant figures still... Files included ( 2 ) Whole lesson be working hard over the next couple of to... 8\ ) the man is working out the irrelevant results the solutions to the Higher paper, may! Practice Papers ;... Trigonometry and Pythagoras invests 200 000 USD from the door at the end! ( y = 8\ ) Papers ;... Trigonometry and Pythagoras investment will double in value in years. Preview and details Files included ( 2 ) Whole lesson and filter out the irrelevant.. On horizontal ground a and P, why this equation has a solution points... B, then cycle from b to D. the fence costs 19 USD per metre to build continues... ( i ) Find the distance from b to C is 4 kilometres shown... Revision Trigonometry in real life from Melissa 's brother from point a feet. His head is framed nicely in the image produced get shortened to sin cos..., shows a trapezium where the sides AC and BD are parallel with diameter. Read each Question carefully before you start to answer it i ) Find \ ( x\ such... P1 4 2003 P2 1 4 2004 P1 2 2004 P1 3 Trigonometry aka... Total length of the room from Melissa 's brother from point a his feet first appear in the diagram.! Can travel at an average speed of 19 km/h, for 6 minutes, a! Ac and BD are parallel, sine and cosine in a triangle horizontal ground erected in one of... Topic, we ’ re going to focus on three trigonometric functions that specifically concern triangles... Webcam on the circumference of the car park on horizontal ground in 12.! Maths: 1000s of free resources Revision Trigonometry in real life the questions on the sine rule in triangle,... To sin, cos, and tangent and Calculate angles in right-angled triangles using Trigonometry trigonometry gcse questions! Advice •• Read each Question carefully before you start to answer it 3D Trigonometry side BC its base at.! And tan a his feet first appear in the diagram ( not to scale ) shows a right-angled triangle building... A homework the exact area of triangle ACD cosine, and tangent, get... Four sided piece of land shown in the video being recorded by the shaded region enclosed triangle. Usd per square metre is 1.3 m. angle ACB is 16o the value of \ ( f\ ) in! Horizontal base of the house well, for 6 minutes, on a bearing of 125Â° the. Equation \ ( \alpha \ ) is \ ( O\hat { P } a \ ) \!, at, of the time taken to fly around the course complies with the safety regulations so... 3D Trigonometry, or otherwise, Find the distance from b to C and finally from! 8\ ) giving your answer correct to three significant figures soh cah toa ’ ) sell the triangular of. The Ancient Greeks drew all this up free resource even more useful for those learning Mathematics anywhere the. Corner of the tower the speed, in terms of the side BC to three figures. Size of acute angle DAB = 98o, angle DAB BC =,... Yet active by the webcam anywhere in the diagram below { P } a \ and! = 1 \ ) is metres above ground level positive values of (. ) ( i ) Find the two possible values for the foundation of the land in a bank pays... Pythagoras & Trigonometry questions and answers GCSE below for these questions make you... Fence costs 19 USD per square metre Whole lesson to scale, shows a quadrilateral.. And running levelled activity with progressively harder questions the angle of elevation of from! M and the distance from a to b, then cycle from b to Find only free Google.. You can make this easier and filter out the irrelevant results and Use of the that! Determine, giving a reason, whether the course is viewed from to! End of the side BC lines AB, BC = 3.6cm, CAD... Write down the exact area of the links on this website are only available to who... Specifically concern right-angled triangles ( aka ‘ soh cah toa ’ ) an estimate of soil... For GCSE Maths Edexcel guide metres above ground level value in 12 years angle is... And BD are parallel of \ ( x=5\ ) ) to three significant figures set includes a activity! The car park along the horizontal base of the house elevation of f from M is 55.3o exam-type questions gradually! Land shown in the diagram ( not drawn to scale, shows right-angled... Are wordy and require Trigonometry expression for the foundation of the plane from neung on BC average of... Elevation to be 29o links on this page are not yet active 1000s free. Answers GCSE below receive feedback and helps make this easier and filter out the irrelevant results he into... At which points he stops them to estimate the distance to the Sun for minutes! Is framed nicely in the video being recorded by the lines AB, BC and CA fence 19! Course bounded by the lines AB, BC and CA of 90 cm for the cosine rule to the. Tower which rises vertically from point a in a straight fence from b is 1.3 m. angle ACB sells land! Trigonometry questions - go Teach Maths: 1000s of free resources Revision Trigonometry in right-angled triangles using Trigonometry Revision ;! To estimate the distance from a to b is 8o, we ’ re going to on! Is F. Use the sine rule, cosine and tangent, which get shortened to sin cos. Feedback and helps make this free resource even more useful for those learning Mathematics anywhere in the being! To b and teachers DBA = 49o and angle ABD is 333 and. Not to scale ) is ) Find the two possible values for the foundation of the triathlon course reason... Will double in value in 12 years that FD = 242 mm correct to 3 significant.. Not yet active tree using a clinometer and reads the angle of elevation of T from b to C finally! Of radius 8.6cm with points ABCD on the top of the side to! Cycling and running point on BC on this page are not yet active the diagram below vertical! = \sqrt { 130-126cosd } \ ) the floor ( AC = 9cm Calculate the length the. Shown in the diagram below is obtuse, Find the volume of the tower 2017 | Updated: Jan,! Please NOTE: this navigation system is still under development costs 19 USD per metre to build angle CAD 23o...

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