Bearing and scale drawing questions. Find the bearing of .

Bearing and scale drawing questions. Work out the real distance between .

Bearing and scale drawing questions Questions and model answers on Bearings, Constructions & Scale Drawings for the Cambridge (CIE) IGCSE Maths: Core syllabus, written by the Maths experts at Save My Exams. A bearing must be written with 3 figures. Donʼt spend too long on one question. Guiding methodology supports a great range of questions that incorporate diagrams and scenario-based information. I hope you find it useful! iii) describe the bearing of a place from a given point. Apr 4, 2018 · Next: Changing the Subject Practice Questions GCSE Revision Cards. How do I answer trickier questions involving bearings? Bearings questions may involve the use of Pythagoras or trigonometry to find missing distances (lengths) and directions (angles) Maths 29 mins 8 questions Bearings, Scale Drawing, Constructions & Loci Bearings / Scale & Maps / Constructing Triangles / Constructions & Loci Total Marks /29 GCSE Edexcel Scan here for your answers or visit savemyexams. (6 marks) a) Using a scale of 1 cm to 50 m draw an accurate drawing to show the position of A, B, C and D. 0 kN is the most suitable for this scenario. PPT. Work out the length of C D and A D on the scale drawing. interpret and calculating use three- figure bearings. Attempt every question. As learning progresses, students move from constructing scale drawings of bearings to interpreting diagrams using ratios. mark) (b) Measure the bearing of . This is a core level topic, meaning in can appear on both the core and extended tests. This may be a scale factor such as " × 100 " or a ratio. Scale factor: 1\div400=\dfrac{1}{400}. So the 6cm width of the diagram represents a 12m width on the real 6^iYHF´Ht;[fZH "\´;´jD;ZH´Fi;sP\N´^M´;´CiPFNH»´ ´D[´iHfiHjH\lj´ ´[º /OH´FPjl;\DH´Mi^[´^\H´jPFH´^M´lOH´CiPFNH´l^´lOH´^lOHi´Pj´ ´[º Set your pupils on the right course with this supportive yet challenging Bearings Worksheet. 15. Several examples precede separate tasks on drawing and measuring bearings. 5-a-day Workbooks. MOBILE TUTORS Feb 3, 2022 · A five worksheet pack for practising the use of bearings, including worksheets on measuring bearings using a protractor, finding bearings using angle rules and solving problems involving bearings on scale diagrams. Always measure bearings from the North line. Exam Questions. Scale drawings are essential in various fields, from architecture to cartography. mark) (c) A boat B. EVERY ACTIVITY SHOULD BE DONE IN YOUR BOOK Must Practice GCSE (9-1) Maths Bearings Past Paper Questions. Bearings are a way of expressing the angle between two objects. The scale of the drawing is 1 cm represents 8 m. The worksheet starts with two simpler questions, then two questions with accompanying diagrams before finishing with several questions where the student is expected to interpret the text in order to draw the Measure line segments and angles in geometric figures, including interpreting maps and scale drawings and use of bearings including the eight compass point bearings and three-figure bearings The subject content (above) matches that set out in the Department for Education’s Mathematics GCSE subject content and assessment objectives document. A scale drawing is created by multiplying each length by a scale factor to make it larger (an enlargement) or smaller (a reduction) than the original object. Oct 24, 2023 · There may be a scale given or you may need to consider using a scale; Some questions may involve the use of angle facts to find the missing directions; To answer a question involving drawing bearings the following steps may help: STEP 1: Draw a diagram adding in any points and distances you have been given Jul 16, 2020 · Worksheet/practice paper, up to level 6. Scale Drawing Questions 1. H. Drawing bearings. Question 2 involves calculating the distance between cities on a map of Sardinia and drawing a bearing. A B = 400m, BC = 350m and C D = 450m. A BC D. from . The diagram shows the position of a farm F and a bridge B on a map. Enhance your skills with practice papers tailored for Bearings, Constructions & Scale Drawings, question paper analysis, and language proficiency. mark) (b) Work out the actual distance, in kilometres, between town . cm [1] Using a ruler and compasses only, complete accurately the scale drawing of the field. (i) Write down the bearing of port P from port R . com Head to www. Some of the worksheets displayed are Three figure bearings and scale diagrams work 1 three, Bearings maps and scale drawings, Bearings work, Bearings and scale drawing, Wjec mathematics, Chapter3threefigurebearings, 3 scale drawings, L2 scale drawing practice questions. The practical uses of bearings in the real world are emphasised by requiring students to work through word problems with varying levels of support. Angle Properties 7 of 8: Bearings and Scale DrawingsLink to lesson 👨🏻‍🏫 https://mr-mathematics. mH´j^mlO´ [H;\j´^\´;´ CH;iP\N´^M´ ç. Likewise, we have: Dec 4, 2024 · Draw a scale vector diagram to determine the magnitude of the resultant force. Always show your workings Chapter 15 – Scale Drawings, Bearing and Trigonometry. savemyexams. The scale of the map is 1 centimetre represents 8 kilometres. from town . For example, measuring a length from A to B as 5. The scale of a drawing is usually Dec 8, 2018 · Bearings and Distances. Builders use scaled drawings to make buildings and bridges. • Answer the questions in the spaces provided – there may be more space than you need. 4 Scale Drawings Using bearings, scale drawings can be constructed to solve problems Example 1 A ship sails 20 km NE, then 18 km S, and then stops. Access the best books, sample papers, and study material specifically designed for Bearings, Constructions & Scale Drawings to ensure effective preparation. Check your answers seem right. Made for&nbsp; Higher Level classes, the resource shows pupils how to measure and construct bearings. draw and measure bearings and how to use the angle properties of parallel lines to calculate back bearings Set your pupils on the right course with this supportive yet challenging Bearings Worksheet. Information Help students find their way through bearings, scale and loci maths using our easy to follow, clearly presented worksheets. For example, " 1 cm : 1 m " indicates that 1 cm on the drawing corresponds to 1 m on the real object. All students should be able to use ASA to construct and interpret bearings and scale drawings. 5. Students learn how to construct scale drawings of bearings. A worksheet is provided in both PDF and Word. km (2. C D. 8 cm × 150 000 Must Practice GCSE (9-1) Maths Scale Drawings and Maps Past Paper Questions. v) choose and use appropriate scale to draw an accurate drawing. 9 cm. An equilateral triangle has side length 16 metres. Scaffolded prior to giving it out builds the skill and gives a satisfying achievement, but also good as a review of the skills, and is easily extended by simply calling for bearings and distances between two or more cities. In two sizes, pdf and ppt. Using a ruler and a pair of compasses only, construct the position of town on the scale drawing. (a) Find the distance from A to B. 8 cm. The distance between A and D (2 marks) II. (Excludes cosine rule/trigonometry questions) Report a Mistake Exam Style Questions Ensure you have: Pencil, pen, ruler, protractor, pair of compasses and eraser You may use tracing paper if needed Guidance 1. Questions. and H. (a) How far is it from its starting point when it stops? (b) On what bearing must it sail to return to its starting point? Solution The path of the ship can be drawn using Jul 16, 2020 · This interactive application has been designed to teach pupils to accurately estimate and draw a bearing. For angles under 100°, zero(es) should be used to fill in the missing figures, e. Jun 2, 2021 · This video demonstrates how to make scale drawings involving bearings. Find the bearing whose reciprocal/ back bearing is? Sep 19, 2019 · Bearings Textbook Exercise. 11. Questions and model answers on Bearings, Constructions & Scale Drawings for the Cambridge O Level Maths syllabus, written by the Maths experts at Save My Exams. The scale of the model is 1 : 24 Work out the length of the scale model of the plane. That is: The scale of a drawing = Drawing length: Actual length. 50 cm represents 50,000 cm or as a representative fraction (R. Label the two forces applied and the resultant, and clearly state the scale used. On the map, the area of Slovakia is 4. PRACTICE QUESTIONS 1. If the bearing of A from B is more than 180° Subtract 180° from it to find the bearing of B from A. Calculate the actual area of Slovakia. It discusses that a bearing tells you a direction of travel as an angle measured clockwise from North. Differentiated Learning Objectives. º (1) A church C is on a bearing of 155º from the bridge B. with a The scale drawing shows the position of town and town . Scale Drawing. The file is in PDF format with answers included. Information about Bearings, Constructions & Scale Drawings covers topics like CIE IGCSE Maths: Extended, Bearings, Rules for Defining Bearings, Angle Measurements and Bearings, Understanding Bearings Questions, How to Use Bearings on Maps, How to Find Directions on a Map Using a Protractor, Compass Directions and Bearings, Maths Exam Preparation Checklist, Using Maps and Bearings, Instructions 4 The accurate scale drawing shows the positions of boat A and boat B. C is due east of B and D is due north of C . uk! Questions and model answers on Bearings, Scale Drawing, Constructions & Loci for the Edexcel GCSE Maths: Foundation syllabus, written by the Maths experts at Save My Exams. The scale of the diagram is 1 cm represents 5 km. It then explains the sine rule, which is used when dealing with pairs of opposite sides and angles to calculate unknown angles or lengths. (u Scale Drawings Name: _____ Instructions • Use black ink or ball-point pen. IGCSE CIE. 4. Standard. Edexcel Foundation 9-1 Foundation. from L. H;jmiH´ DZ^DYsPjH ´Mi^[´ ^ilO 6iPlH´lOH´;\NZH´mjP\N´ ´|NmiHjµ ^s´F^´ ´Fi;s´;´f^P\l´^\´;´CH;iP\NÁ. Using a scale of 1cm= 50km, draw on accurate scale drawing showing the positions of S, C, T and Y; By measurement from your scale drawing determine: The distance and bearing of Y from S; The distance ST; The distance YT Lukas buys a scale model of the plane. Make a scale drawing to find the distance and bearing from her starting point. More resources on bearings: Bearings; Coordinates and bearing; Bearings - Revision; S1_Level_E_Ch17_Scaled_Drawings. Mt. vii) apply bearings in real life situations. On the map, 1 centimetre represents 20 kilometres. Boat A is due west of B. This website and its content is subject to our Terms and Conditions. Step 2: Use grid paper to draw the vectors top to tail and to scale Nov 16, 2023 · Welcome to the "Test Your Knowledge of Scale Drawing!" quiz! This quiz will assess your understanding of scale drawing concepts, its applications, and the mathematical principles involved. \That is the real distance, in km, between Manchester and London? metres The diagram shows a scale drawing of a tennis court. 5 km from A on a bearing of 210° (c) On the diagram, mark the position of boat C with a cross (×). A. Make a scale drawing of these journeys. pps. Boat A sails on a bearing of 060° and boat B sails on a bearing of 300°. com for more awesome resources Page 1 of 9 Maths 1 hour 15 questions Bearings, Scale Drawing, Constructions & Loci Bearings / Scale & Maps / Constructing Triangles / Constructions & Loci Total Marks /64 GCSE Edexcel Scan here for your answers or visit savemyexams. A woman travels 3km south, then 4km south-west and finally 5km west. For example, if the scale is 1 : 150 000 the actual distance = 5. Exam questions available as an extension task. The bearing of B from A is 140°. Nov 12, 2020 · North NOT TO SCALE Q 117 km 45 km North 118° R M P Port M and port P are due west of port R . Always express your answers as three-figure bearings (so 60\degree would be 060\degree). On a scale drawing of 1:200 you will need more space to complete the drawing. STEP 2 Use the scale to find the actual distance in the same units. The diagram shows a field . is 20km from H on a bearing of 040 °. AQA Foundation. Jul 3, 2024 · How can I use a scale to find the actual lengths from an accurate drawing? STEP 1 Use a ruler to measure the distance accurately on the map. Bearings & Scale Drawings : Baseline Progress Understanding: Edexcel Foundation: Construction, Loci and Bearings: Baseline Progress Understanding: Edexcel Higher: Constructions, Loci and Bearings: Baseline Progress Understanding: OCR Foundation: Maps and Scale Drawing Questions and model answers on Bearings, Scale Drawing, Constructions & Loci for the AQA GCSE Maths syllabus, written by the Maths experts at Save My Exams. Answer: Step 1: Decide on a suitable scale. (b) Measure the bearing of B from A. • Answer all questions. Use the scale 1 centimetre represents 2 metres. 2 ) This document contains 7 questions about bearings, scale drawings, and perimeter/area calculations from an AQA GCSE Maths exam. and a harbour H. The scale drawing shows the positions of two towns A and C on a map. Answer(a)(ii) [1] [2] (iii) Town B is 140 km from town C on a bearing of 150°. Head to www. E. Using ruler and compasses only, construct a scale drawing of the triangle. Draw a sketch showing the position of the three mountains (1 mk) Calculate - Nov 14, 2019 · Cloned/Copied questions from previous 9-1 AQA GCSE exams. The scale of a map is 1 : 10 000 000. (Total for Question 4 is 4 marks) A × N B × N Scale 2 cm represents 1 km km (1 May 14, 2019 · GCSE Bearings and Scale Drawing maths exam question practice taken from past papers and practice papers. Apr 21, 2020 · A scale drawing of a building (or bridge) has the same shape as the real building (or bridge) that it represents but a different size. It will help you to answer questions such as:Ship A travels on a bearing of 050° from Work out the bearing of C. C is 325 m on a bearing of 1500 from B. On this page you'll find plenty of iGCSE bearings questions from past papers. Estimation With Scale Drawings Scale Drawings Measuring Bearings understand the term scaled drawing, read maps and interpret distance; able to identify the angle of elevation and angle of depression in a right angle. This means that every centimetre on the diagram represents 2 metres in real life. To convert a distance on the map to real life, first measure the length with a ruler and then multiply this by the scale factor. Make sure the scale is clearly labelled on your diagram. On the diagram, mark the position of boat . Port M is due south of port Q . It is 25 km from and 40 km from . Dec 8, 2018 · Bearings and Distances. (i) Find the distance in kilometres from town A to town C. Follow the links to the Cymru website to use interactive activities. 1 & 15. The scale of the drawing is 1cm to 5 km. Primary Study Cards. Scale drawings are useful in a variety of careers from surveyors, to town planning and architecture. The sine rule states that the ratios of the sines of the angles Mar 16, 2023 · However with scale drawings, the scale may be more likely to be given in the form of a description with units, rather than a ratio; The scale can be used to convert lengths found on a drawing to a length in real life STEP 1 Use a ruler to measure the distance accurately on the scale drawing, if appropriate Scale drawings must include a statement to indicate what the scale of the drawing is. A, town B and town C on a map. • You must show all your working out. Three mountains Mikai, Kembo and Chaka in a village are situated in such a way that Kembo is 900m on a bearing of 1200 from Mikai. marks) Questions 1 (a) The diagram shows the position of a lighthouse L. Choose a suitable scale before starting the drawing so that you have enough space to do the questions. Circle your answer. g. D is due west of C and on a bearing of 2100 from B. 059º, 008º. Scale: 1 cm to 5km. Now consider the scale factor from a 1:500 to 1:200 scale drawing. The ratio can be in statement form e. 5-a-day Workbooks Oct 17, 2024 · Add 180° to it to find the bearing of B from A. Calculating scale lengths is made simple and understandable with our scale drawing worksheets suitable for all abilities. 2. Specifically, it lists 7 exam questions by year and paper ranging from November 2017 to November 2021, with the questions focusing on skills like determining true lengths, drawing scale diagrams, and solving problems involving bearings. He starts by marking the position of the bank and the school. Questions and model answers on Bearings, Constructions & Scale Drawings for the Cambridge (CIE) IGCSE Maths: Extended syllabus, written by the Maths experts at Save My Exams. b) Use your scale drawing fo find the : I. Question 1 asks students to identify locations on a map of Poland using compass directions. (a) Measure and write down the bearing of B from F. Visit now! understand the relationship between bearings and compass points, read off a simple bearing in a diagram, read off a simple bearing in a diagram by subtracting a given angle from 3 6 0 ∘, distinguish the bearing of 𝐵 from 𝐴 from the bearing of 𝐴 from 𝐵, use the bearing of 𝐵 from 𝐴 to work out the bearing of 𝐴 from 𝐵, Feb 9, 2019 · For example, a scale of 1:100 would mean that 1cm on the drawing would represent 1m in real life. The scale diagram shows part of the plan of a classroom. Another boat C is 2. Two boats are 50 km apart. There is a specific set of rules about how bearings should be calculated and expressed. I hope you find it useful! Edexcel Internal Review 2 . The Bearings Worksheet comes complete with a full set of answers in addition to worked Sep 5, 2019 · Next: Reading Scales Practice Questions GCSE Revision Cards. The library is on a bearing of 200° from the school and a bearing of 095° from the bank. Maths 12 mins 5 questions Calculator Questions Bearings, Constructions & Scale Drawings B e a r i ng s / Sca l e / C o ns t r uct i ng a T r i a ng l e. A ratio is used in scale drawings of maps and buildings. The boundaries . GCSE Revision Cards. Find the bearing of . PDF. D. Answer(a)(i) km [2] (ii) Measure and write down the bearing of town C from town A. • Diagrams are NOT accurately drawn, unless otherwise indicated. Made for GCSE Foundation and Higher Level classes, the resource shows pupils how to measure and construct bearings. F), 1 : 5,000,000 is written as 1 / 5,000,000 bearing of 0700 from A. Whether you want a homework, some cover work, or a lovely bit of extra practise, this is the place for you. B. Mathster; Corbett Maths Aug 8, 2019 · The lesson then proceeds on how to construct a scale drawing with angles given as bearings, before considering how to measure and interpret the lengths and angles measured off the diagram. If you need a little revision first, head to our bearings page with explanation, examples and more. Scan here for your answers or visit savemyexams. com for more awesome resources Mar 16, 2023 · There may be a scale given or you may need to consider using a scale; Some questions may involve the use of angle facts to find the missing directions; To answer a question involving drawing bearings the following steps may help: STEP 1: Draw a diagram adding in any points and distances you have been given Oct 17, 2024 · Add 180° to it to find the bearing of B from A. com. This document provides information about scale drawings, bearings, and trigonometry rules. Town is due north of town . from B. The application allows the practice of drawing bearings and the estimation of bearings. Oct 17, 2024 · Add 180° to it to find the bearing of B from A. A scale drawing is a representation of an object shown at a different size than its actual size while keeping the same proportions as the original object. Along with Stepwise Solutions, Timing, PDF download to boost your the GCSE Maths Grades. How far, and on what bearing, must the ship sail in order to return from C to A? 2) Repeat question 1 for these journeys: Questions and model answers on Bearings, Scale Drawing, Constructions & Loci for the Edexcel GCSE Maths syllabus, written by the Maths experts at Save My Exams. 5-a-day Workbooks Questions and model answers on Bearings, Scale Drawing & Constructions for the Edexcel IGCSE Maths A: Higher syllabus, written by the Maths experts at Save My Exams. Measuring bearings. Maps and scale drawings form a crucial part of everyday life. mark) 9. Mark on the diagram where the Library is located. . Bearings. The ratio of the distance on a map to the actual distance on the ground is called the scale of the map. marks) 2. Chaka is 1200m on a bearing of 0300 from Kembo. iv) draw suitable sketches from the given information. The sheets include: Questions on drawing and interpreting Right-angled trigonometry Pythagoras' theorem Sine and cosine rules Question 7 John decides to draw a scale drawing of his town. and town . On a scale drawing of 1:500 one unit on the scale drawing will be equivalent to 500 units in reality. centimetres (Total for question = 3 marks) Q4. CAD (computer- aided design) relies heavily on scaling software Showing top 8 worksheets in the category - Scale Drawings Of Bearings. QM = 45 km and QR = 117 km. Students have to sort the information and use it to make an accurate scale drawing in order to then answer the questions. and A D of the field are each 72 m long. Always draw and measure bearings clockwise. 1 Scale Drawings ( Ex - 15. A lot more at goteachmaths. There are also bearings maths worksheets based on Edexcel, AQA and OCR exam questions, along with further guidance on where to go next if you’re still stuck. Give your answer m metres. com for more awesome resources Page 1 of 20 Nov 30, 2020 · Distance Learning does not mean distance from real life application; here are AHISR Grade 9 IGCSE students learning about the concept of bearing & scale draw Jan 17, 2022 · The Scale. It then sails from B on a bearing of 040° for 70km to port C. Here we will learn about bearings, including measuring bearings, drawing bearings and calculating bearings. How do I answer trickier questions involving bearings? Bearings questions may involve the use of Pythagoras or trigonometry to find missing distances (lengths) and directions (angles) Questions and model answers on Bearings, Scale Drawing, Constructions & Loci for the OCR GCSE Maths syllabus, written by the Maths experts at Save My Exams. (1. mH´H;jl´ [H;\j´^\´;´ CH;iP\N´^M´ ç. 030° 130° 150° 210° (1. This interactive application has been designed to teach pupils to accurately estimate and draw a bearing. The scale drawing shows town . Visit now! Mar 22, 2024 · These 9 worksheets provide an introduction to measuring and drawing three figure bearings beginning by looking at the 8 points of the compass. How do I answer trickier questions involving bearings? Bearings questions may involve the use of Pythagoras or trigonometry to find missing distances (lengths) and directions (angles) The resource is a set of cards with clues/questions about the distances and relative positions of five people on a football pitch. Scale: 1 cm represents 2 m. Measure the bearing of town A. 8^m´[PNOl´CH´;jYHF´l^´fZ^l´;´f^P\l´lO;l´Pj´;´ The document contains links to past year exam questions on bearing and scale drawing from the Checkpoint Sec 1 Math exam between 2017-2022. <br /> Like it says, makes sure it prints 'full size' rather than 'fit to page', and the 1cm:50km scale BEARINGS AND SCALE DRAWING 1) A ship sails from port A on a bearing of 155° for a distance of 90km to port B. This means, the actual tennis court size has been enlarged by a scale factor of \dfrac{1}{400} to give the scale drawing. 3. . L. Students must use the map scale to find the distance between different cities both in kilometres and in miles. com for more awesome resources À-Ó¢ E cÑ O We can use a scale of 1:400 to calculate the scale factor, by dividing the left hand side of the ratio by the right hand side:. Total Marks /12. The Bearings Worksheet comes complete with a full set of answers in A trawler T is 300km on a bearing of 145° from the cargo ship and a yacht Y is due West of C and on a bearing of 300° from T. 6. Example: If a map has a scale factor of 1cm : 2km find: Covers measuring bearings, constructing bearings, map scale and bearings using angle laws. Town lies to the east of the line . arrow_back Back to Bearings Bearings: Worksheets with Answers. Work out the real distance between . GCSE; Maps - WJEC Bearings. They will need ruler and protractor in order to find the bearing of a city from another one. The bearing of port P from port R is 270°. vi) differentiate between a sketch and a scale drawing. You will require 500 divided by 200 units to represent the same object on the scale drawing. Give your answer in centimetres. com/product/bearings-and-scale-drawings/Foundation GCSE: An In order to interpret and produce scale drawings we need to know the scale factor and the actual lengths of the object. Next: Drawing Angles Textbook Exercise. Your answers to scale drawing questions may differ slightly from the actual answer. i;s´lOH´ZP\H´rHilPD;ZZu´F^s\s;iFj Scale drawings are used by designers to plan and adjust details before actual production so that all problems can be addressed. A scale of 1 cm to 1. This video is suitable for both Foundation and Highe Oct 9, 2020 · This video gives a step by step break down of how to do a Form 3 Bearings and Scale Drawing question. Questions and model answers on Bearings, Scale Drawing, Constructions & Loci for the Edexcel GCSE Maths: Higher syllabus, written by the Maths experts at Save My Exams. Contents. There is a straight road between town A and town B. Convert these three figure bearings to equivalent acute –angle bearings (a) 060o (b) 242o (c) 117o (d) 343o 2. The scale of the drawing is I : 200 Work out the perimeter of the real tennis court. Whether you're a student or a professional, this quiz will provide an engaging challenge to test your grasp of scale drawing What is its bearing on the return? Notes Bearings are often used in scale drawings. A map has a scale of I cm to 14 On the map, the distance between Manchester and London is 18. 1. Using a scale drawing, find at which distance from A's initial position will the boats collide. To draw to scale, divide the real measurement by the scale factor. Below is a scale drawing of a pool with a scale of \bf{1cm:2m} or 1:200. Bearings and scale drawing. Click here for Questions . And best of all they all (well, most!) come with answers. Question 3 asks students to draw a rectangle with a given perimeter and This set of differentiated maths worksheets will assess your students' ability to break down worded problems on bearings. The bearing of A from D (2 marks) Feb 8, 2023 · I don't think I've commented on a resource before, but this is great. Our worksheets cover calculating bearings, scale drawing, loci maths and more. Question 8. This bundle includes 4 different worksheets with their corresponding answers. i;s´lOH´ZP\H´FPiHDlZu´l^´lOH´iPNOl. 2nd Edition Papers. Next he decides to add the position of the library to his map. (2. Read each question carefully before you begin answering it. co. brht tlcgsw ynnjxb vqffiltmy fjkys ynea kzql aiph xqfx pde