BTEC Level 2 First Certificate in Engineering Past Paper PDF, 13/11/2024

Summary

This is a BTEC Level 2 First Certificate in Engineering past paper from 13/11/2024. It contains questions on mensuration and trigonometry. Students will need to apply their knowledge of geometry and trigonometry to calculate areas, volumes, and lengths related to engineering applications.

Full Transcript

Qualification Unit number and title BTEC Level 2 First Certificate in Engineering Unit 10: Mathematics for Engineering Learner name...

Qualification Unit number and title BTEC Level 2 First Certificate in Engineering Unit 10: Mathematics for Engineering Learner name Assessor name Bengi Erdel Date issued Hand in deadline Submitted on 13/11/2024 11/12/2024 Assignment title 2. Mensuration and Trigonometry In this assessment you will have opportunities to provide evidence against the following criteria. Indicate the page numbers where the evidence can be found. Criteria To achieve the criteria the evidence must show that the learner is able to: reference Find the areas of three simple and compound shapes from given data in 2B. P4 an engineering context. Find the volumes of regular objects from given data in an engineering 2B. P5 context. Use Pythagoras’ Theorem to find the missing lengths of right-angled 2B. P6 triangles in an engineering context. 2B.M3 Find the volumes of compound objects in an engineering context. Use trigonometry to find the dimensions and angles of right-angled 2B.M4 triangles in an engineering context. Systematically carry out area and volume calculations to a high degree 2B. D2 of accuracy in an engineering context. Use trigonometry to find the dimensions and angles of complex 2B. D3 engineering shapes and non-right angled triangles in an engineering context. Learner declaration I certify that the work submitted for this assignment is my own. I have clearly referenced any sources used in the work. I understand that false declaration is a form of malpractice. Learner signature: Date: Assignment brief Qualification BTEC Level 2 First Certificate in Engineering Unit number and title Unit 10: Mathematics for Engineering Assessor name Bengi Erdel Date issued 13/11/2024 Hand in deadline 11/12/2024 Assignment title Mensuration and Trigonometry Purpose of this assignment: Be able to use mensuration and trigonometry in engineering contexts. Scenario: You are working as an Estimator in the material control department of an engineering company that produces sheet metal panels and fabrications. It also supplies box section steel cut to the required lengths for assembly on site into framed structures. The company contract for waste removal is to be renegotiated. Your manager has asked you to calculate the area of waste material to be removed from the production of three sheet metal panels and the volume to be removed from three turned components. This will help her to negotiate an appropriate price. In addition, the firm has received orders to supply box-section material cut to length for four framed structures, and you are required to calculate the lengths of material required. Your calculations will take place under controlled conditions and a Learner Observation Record will evidence the correct use of a calculator. Task 1 (P4) Calculate the areas of the shapes shown in Fig.1, Fig. 2 and Fig. 3. (All dimensions are in mm.) Answers should be given to three significant figures and correct units should be stated. Task 2 (P5) Calculate the volumes of the sphere, cone and cube shown below. Task 3 (M3) Calculate the volume of the shape shown below. Answers should be given to three significant figures and correct units should be stated. Task 4 (D2) With reference to Fig. 1, Fig. 2 and Fig. 3, calculate the area of waste material produced each year in the manufacture of the following sheet metal components. You may assume that an addition of 10% can be added to the area of the cut-offs and piercings for th e remains of the sheets from which they are stamped. The annual production rate is 1500 of each and all dimensions are in millimetres unless otherwise stated. Answers should be given to three significant figures and correct units should be stated. Task 5 (P6) Use the angles and given side lengths to calculate the missing side lengths and angles for the framed structures shown below. Your answers should be given to three significant figures and correct units should be stated. Task 6 (M4) Use the angles and given side lengths to calculate the missing side lengths and angles for the framed structures shown below. Your answers should be given to three significant figures and correct units should be stated. Task 7 (D3) Calculate the total length of material required for all the framed structures shown below. Your answers should be given to three significant figures and correct units should be stated. Evidence checklist [tick boxes] Your assignment should be typed up in Microsoft Word and submitted to Teams as a document file as well as a printed and signed copy. Evidence must be produced under supervision The information sheets must be produced under supervision. All sections addressed to a good standard. Written calculations showing all formulae and all workings for areas and volumes of the shapes given. Correct units should be used for all calculations. Sources of information Textbooks: Aldis, B. (2002) Mathematics for Technicians, 5th Edition, New York: McGraw Hill Higher Education, 978 0 07471 157 6. Bird, J. (2012) Science for Engineering, 4th Edition, Abingdon: Routledge 978 0 415 51788 1. Bolton, W. (2006) Engineering Science, 5th Edition, Oxford: Newnes, 978 0 75068 083 7. Clarke, S. et al. (2012) BTEC First in Engineering Student Book, Harlow: Pearson Education, 978 1 44690 243 1. Tooley, M. (2010) BTEC First Engineering, 2nd Edition, Oxford: Newnes, 978 1 85617 685 9. Wallis, S. et al. (2010) BTEC First Engineering, London: Hodder Education, 978 1 44411 052 4. Clark S.Darbyshire A (2012) BTEC First Eng student book Pearson Education ISBN 978-1-4469-0243-1 Websites: www.bbc.co.uk/bitesize/ks3/science www.khanacademy.org www.onlinemathlearning.com www.freestudy.co.uk www.howstuffworks.com http://www.technologystudent.com Other sources: College Moodle system

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